Details

Time bar (total: 11.1s)

analyze516.0ms (4.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
0%99.8%0.2%11
0%99.8%0.2%12
Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.5s (13.9%)

Results
1.2s8256×body256valid
354.0ms2593×body256invalid

preprocess50.0ms (0.4%)

Algorithm
egg-herbie
Rules
1038×fma-def_binary64
796×div-sub_binary64
750×fma-neg_binary64
598×times-frac_binary64
356×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052175
1112161
2245161
3542147
41271147
52535147
65483140
044
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
3
Call 2
Inputs
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(+.f64 (/.f64 y x) (/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(+.f64 (/.f64 z y) (/.f64 (+.f64 2 (*.f64 (*.f64 x 2) (-.f64 1 t))) (*.f64 t x)))
(+.f64 (/.f64 t y) (/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 x))) (*.f64 x z)))
(+.f64 (/.f64 x z) (/.f64 (+.f64 2 (*.f64 (*.f64 y 2) (-.f64 1 t))) (*.f64 t y)))
(+.f64 (/.f64 x t) (/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 y))) (*.f64 y z)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 1 z))) (*.f64 z t)))
Outputs
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 z (*.f64 2 (-.f64 1 t)))) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 z (*.f64 2 (-.f64 1 t)) 2) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 z (+.f64 2 (*.f64 -2 t)) 2) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 z (fma.f64 -2 t 2) 2) (*.f64 z t)))
(fma.f64 (/.f64 (fma.f64 z (-.f64 1 t) 1) t) (/.f64 2 z) (/.f64 x y))
(fma.f64 (/.f64 2 z) (/.f64 (fma.f64 z (-.f64 1 t) 1) t) (/.f64 x y))
(+.f64 (/.f64 x y) (fma.f64 (/.f64 2 t) (/.f64 (+.f64 z 1) z) -2))
(+.f64 (/.f64 y x) (/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(+.f64 (/.f64 (+.f64 2 (*.f64 z (*.f64 2 (-.f64 1 t)))) (*.f64 z t)) (/.f64 y x))
(+.f64 (/.f64 (fma.f64 z (*.f64 2 (-.f64 1 t)) 2) (*.f64 z t)) (/.f64 y x))
(+.f64 (/.f64 (fma.f64 z (+.f64 2 (*.f64 -2 t)) 2) (*.f64 z t)) (/.f64 y x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 -2 t 2) 2) (*.f64 z t)) (/.f64 y x))
(fma.f64 (/.f64 (fma.f64 z (-.f64 1 t) 1) z) (/.f64 2 t) (/.f64 y x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 t -2 2) 2) (*.f64 z t)) (/.f64 y x))
(+.f64 (fma.f64 (/.f64 2 t) (/.f64 (+.f64 z 1) z) -2) (/.f64 y x))
(+.f64 (/.f64 z y) (/.f64 (+.f64 2 (*.f64 (*.f64 x 2) (-.f64 1 t))) (*.f64 t x)))
(+.f64 (/.f64 z y) (/.f64 (+.f64 2 (*.f64 x (*.f64 2 (-.f64 1 t)))) (*.f64 x t)))
(+.f64 (/.f64 z y) (/.f64 (fma.f64 x (*.f64 2 (-.f64 1 t)) 2) (*.f64 x t)))
(+.f64 (/.f64 z y) (/.f64 (fma.f64 x (+.f64 2 (*.f64 -2 t)) 2) (*.f64 x t)))
(+.f64 (/.f64 z y) (/.f64 (fma.f64 x (fma.f64 -2 t 2) 2) (*.f64 x t)))
(fma.f64 (/.f64 (fma.f64 x (-.f64 1 t) 1) x) (/.f64 2 t) (/.f64 z y))
(+.f64 (/.f64 z y) (fma.f64 (+.f64 x 1) (/.f64 2 (*.f64 x t)) -2))
(+.f64 (/.f64 t y) (/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 x))) (*.f64 x z)))
(+.f64 (/.f64 t y) (/.f64 (+.f64 2 (*.f64 z (*.f64 2 (-.f64 1 x)))) (*.f64 x z)))
(+.f64 (/.f64 t y) (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 x) 2) (*.f64 x z)))
(+.f64 (/.f64 t y) (/.f64 (fma.f64 2 (*.f64 z (-.f64 1 x)) 2) (*.f64 x z)))
(+.f64 (/.f64 t y) (/.f64 (fma.f64 z (fma.f64 -2 x 2) 2) (*.f64 x z)))
(+.f64 (/.f64 t y) (/.f64 (fma.f64 z (fma.f64 x -2 2) 2) (*.f64 x z)))
(+.f64 (/.f64 t y) (fma.f64 2 (/.f64 (+.f64 z 1) (*.f64 x z)) -2))
(+.f64 (/.f64 x z) (/.f64 (+.f64 2 (*.f64 (*.f64 y 2) (-.f64 1 t))) (*.f64 t y)))
(+.f64 (/.f64 x z) (/.f64 (+.f64 2 (*.f64 y (*.f64 2 (-.f64 1 t)))) (*.f64 y t)))
(+.f64 (/.f64 x z) (/.f64 (fma.f64 y (*.f64 2 (-.f64 1 t)) 2) (*.f64 y t)))
(+.f64 (/.f64 x z) (/.f64 (fma.f64 y (+.f64 2 (*.f64 -2 t)) 2) (*.f64 y t)))
(+.f64 (/.f64 x z) (/.f64 (fma.f64 y (fma.f64 -2 t 2) 2) (*.f64 y t)))
(fma.f64 (/.f64 (fma.f64 y (-.f64 1 t) 1) t) (/.f64 2 y) (/.f64 x z))
(fma.f64 (/.f64 2 t) (/.f64 (fma.f64 y (-.f64 1 t) 1) y) (/.f64 x z))
(+.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 y 2 2) (*.f64 y t))) -2)
(+.f64 (/.f64 x t) (/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 y))) (*.f64 y z)))
(+.f64 (/.f64 x t) (/.f64 (+.f64 2 (*.f64 z (*.f64 2 (-.f64 1 y)))) (*.f64 y z)))
(+.f64 (/.f64 x t) (/.f64 (fma.f64 z (*.f64 2 (-.f64 1 y)) 2) (*.f64 y z)))
(+.f64 (/.f64 x t) (/.f64 (fma.f64 z (fma.f64 -2 y 2) 2) (*.f64 y z)))
(+.f64 (/.f64 x t) (/.f64 (fma.f64 z (fma.f64 y -2 2) 2) (*.f64 y z)))
(+.f64 (/.f64 x t) (fma.f64 2 (/.f64 (+.f64 z 1) (*.f64 y z)) -2))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 1 z))) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 (*.f64 2 t) (-.f64 1 z))) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 (*.f64 2 t) (-.f64 1 z) 2) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 t (+.f64 2 (*.f64 -2 z)) 2) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 t (fma.f64 -2 z 2) 2) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 t (fma.f64 z -2 2) 2) (*.f64 z t)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (fma.f64 2 t 2) (*.f64 z t)) -2))
Compiler

Compiled 25 to 19 computations (24% saved)

simplify39.0ms (0.4%)

Algorithm
egg-herbie
Rules
669×fma-neg_binary64
614×times-frac_binary64
399×div-sub_binary64
352×distribute-rgt-in_binary64
342×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01525
12823
25623
312121
428321
553921
6117220
7346919
8663919
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
Outputs
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 (*.f64 2 z) (-.f64 1 t))) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 2 (*.f64 z (-.f64 1 t)) 2) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 z (fma.f64 -2 t 2) 2) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 z (fma.f64 t -2 2) 2) (*.f64 z t)))
(+.f64 (/.f64 x y) (fma.f64 (/.f64 2 z) (/.f64 (+.f64 z 1) t) -2))
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))

eval1.0ms (0%)

Compiler

Compiled 34 to 23 computations (32.4% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
8.9b
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
Compiler

Compiled 38 to 28 computations (26.3% saved)

localize27.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
8.9b
(/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 t))) (*.f64 t z))
0.0b
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
0.0b
(*.f64 (*.f64 z 2) (-.f64 1 t))
0.0b
(*.f64 (*.f64 z 2) (-.f64 1 t))
0.0b
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
8.9b
(/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 t))) (*.f64 t z))
Compiler

Compiled 68 to 41 computations (39.7% saved)

series18.0ms (0.2%)

Counts
3 → 96
Calls

24 calls:

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

rewrite99.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
631×fma-def_binary64
330×fma-neg_binary64
317×expm1-udef_binary64
316×log1p-udef_binary64
313×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01554
134250
2525950
Stop Event
node limit
Counts
3 → 183
Calls
Call 1
Inputs
(/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 t))) (*.f64 t z))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 (*.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(*.f64 (*.f64 z 2) (-.f64 1 t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) (*.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) (/.f64 1 (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) (*.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) 2)) (*.f64 (cbrt.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) (/.f64 1 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) (*.f64 z t))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) (*.f64 z t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) (*.f64 z t)) 2)) (cbrt.f64 (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) (/.f64 1 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) (*.f64 z t))) (sqrt.f64 (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) (/.f64 1 (*.f64 z (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 z t)) (fma.f64 (*.f64 2 z) (-.f64 1 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) t) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) t) (/.f64 (sqrt.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) 2)) z) (/.f64 (cbrt.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) z) (/.f64 (sqrt.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) 2)) t) (/.f64 (cbrt.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 z t)) 2)) (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) (cbrt.f64 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) 2)) (pow.f64 (cbrt.f64 (*.f64 z t)) 2)) (cbrt.f64 (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) (pow.f64 (cbrt.f64 (*.f64 z t)) 2)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) (cbrt.f64 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 z t))) (/.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) (sqrt.f64 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2) 2)) (sqrt.f64 (*.f64 z t))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 2 z) (-.f64 1 t) 2)) (sqrt.f64 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> 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simplify87.0ms (0.8%)

Algorithm
egg-herbie
Rules
558×fma-neg_binary64
523×div-sub_binary64
487×fma-def_binary64
419×unsub-neg_binary64
309×associate-/l/_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0431529
11021525
22151418
33471418
46581247
514161247
631151245
760471245
Stop Event
node limit
Counts
279 → 209
Calls
Call 1
Inputs
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(*.f64 2 (/.f64 (-.f64 1 t) t))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(*.f64 2 (/.f64 (-.f64 1 t) t))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 2 t)) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 2 t)) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 2 t)) 2)
-2
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (*.f64 2 (/.f64 1 t))) 2)
-2
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 z)
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(*.f64 -2 (*.f64 t z))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(*.f64 -2 (*.f64 t z))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
Outputs
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(*.f64 2 (/.f64 (-.f64 1 t) t))
(*.f64 2 (+.f64 (/.f64 1 t) -1))
(+.f64 (/.f64 2 t) -2)
(-.f64 -2 (/.f64 -2 t))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(*.f64 2 (/.f64 (-.f64 1 t) t))
(*.f64 2 (+.f64 (/.f64 1 t) -1))
(+.f64 (/.f64 2 t) -2)
(-.f64 -2 (/.f64 -2 t))
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(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(/.f64 (fma.f64 2 z 2) (*.f64 t z))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 2 t)) 2)
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 2 t)) 2)
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 2 t)) 2)
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
-2
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (*.f64 2 (/.f64 1 t))) 2)
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
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(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (*.f64 2 (/.f64 1 t))) 2)
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (*.f64 2 (/.f64 1 t))) 2)
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
-2
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (*.f64 2 (/.f64 1 t))) 2)
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (*.f64 2 (/.f64 1 t))) 2)
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (*.f64 2 (/.f64 1 t))) 2)
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
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(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
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(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
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(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
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(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
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(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
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(/.f64 x y)
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(/.f64 x y)
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(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y)))
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(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
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(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
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(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
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(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
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(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
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(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
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(/.f64 2 (*.f64 t z))
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(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
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(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
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(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
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(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y))
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(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
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(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (fma.f64 2 z 2) (*.f64 t z))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
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(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
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(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
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(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 x y) -2)
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(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
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(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
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(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
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(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
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(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(*.f64 2 (*.f64 (-.f64 1 t) z))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(*.f64 2 z)
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(*.f64 -2 (*.f64 t z))
(*.f64 (*.f64 t z) -2)
(*.f64 z (*.f64 t -2))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(*.f64 -2 (*.f64 t z))
(*.f64 (*.f64 t z) -2)
(*.f64 z (*.f64 t -2))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(+.f64 (*.f64 2 z) (*.f64 -2 (*.f64 t z)))
(*.f64 2 (*.f64 z (-.f64 1 t)))
(*.f64 z (*.f64 2 (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))

localize19.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 2 (/.f64 2 z)) t)
0.0b
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
0.0b
(+.f64 2 (/.f64 2 z))
0.0b
(+.f64 2 (/.f64 2 z))
0.0b
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
0.1b
(/.f64 (+.f64 2 (/.f64 2 z)) t)
Compiler

Compiled 50 to 33 computations (34% saved)

series9.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
t
@0
(/.f64 (+.f64 2 (/.f64 2 z)) t)
1.0ms
z
@0
(/.f64 (+.f64 2 (/.f64 2 z)) t)
1.0ms
x
@0
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
1.0ms
t
@inf
(/.f64 (+.f64 2 (/.f64 2 z)) t)
1.0ms
z
@-inf
(/.f64 (+.f64 2 (/.f64 2 z)) t)

rewrite88.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
744×log-prod_binary64
517×fma-def_binary64
295×fma-neg_binary64
289×log-div_binary64
287×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01336
130836
2459236
Stop Event
node limit
Counts
3 → 169
Calls
Call 1
Inputs
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
(+.f64 2 (/.f64 2 z))
Outputs
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simplify143.0ms (1.3%)

Algorithm
egg-herbie
Rules
1142×fma-neg_binary64
464×fma-def_binary64
174×sub-neg_binary64
158×cancel-sign-sub-inv_binary64
120×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0321269
1731269
21231269
31821269
42761086
55241086
610211086
722221086
831721086
936571086
1038661086
1139111086
1239211086
1339271086
1443541086
1543541086
Stop Event
saturated
Counts
253 → 189
Calls
Call 1
Inputs
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 2 (*.f64 t z))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
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(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
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(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
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(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 2 z)
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
2
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
2
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
Outputs
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(/.f64 2 t)
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(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 x y) -2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 x y) -2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(/.f64 2 z)
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
2
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
2
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))

eval169.0ms (1.5%)

Compiler

Compiled 8982 to 5488 computations (38.9% saved)

prune129.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3908398
Fresh000
Picked101
Done101
Total3928400
Error
0b
Counts
400 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
16.3b
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
30.3b
(+.f64 (/.f64 x y) -2)
0.1b
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 -2 (neg.f64 (/.f64 2 z))) (/.f64 1 (neg.f64 t)))))
0.1b
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
17.0b
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z)))
15.6b
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t)))
31.5b
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
46.6b
(/.f64 x y)
Compiler

Compiled 226 to 174 computations (23% saved)

localize49.0ms (0.4%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (+.f64 -2 (neg.f64 (/.f64 2 z))) (/.f64 1 (neg.f64 t)))
0.0b
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 -2 (neg.f64 (/.f64 2 z))) (/.f64 1 (neg.f64 t)))))
0.0b
(+.f64 -2 (neg.f64 (/.f64 2 z)))
0.0b
(+.f64 -2 (neg.f64 (/.f64 2 z)))
0.0b
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 -2 (neg.f64 (/.f64 2 z))) (/.f64 1 (neg.f64 t)))))
0.1b
(*.f64 (+.f64 -2 (neg.f64 (/.f64 2 z))) (/.f64 1 (neg.f64 t)))
Compiler

Compiled 74 to 50 computations (32.4% saved)

series6.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
0.0ms
z
@0
(*.f64 (+.f64 -2 (neg.f64 (/.f64 2 z))) (/.f64 1 (neg.f64 t)))
0.0ms
z
@-inf
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 -2 (neg.f64 (/.f64 2 z))) (/.f64 1 (neg.f64 t)))))
0.0ms
y
@inf
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 -2 (neg.f64 (/.f64 2 z))) (/.f64 1 (neg.f64 t)))))
0.0ms
z
@inf
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 -2 (neg.f64 (/.f64 2 z))) (/.f64 1 (neg.f64 t)))))
0.0ms
x
@0
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 -2 (neg.f64 (/.f64 2 z))) (/.f64 1 (neg.f64 t)))))

rewrite102.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
594×fma-def_binary64
344×fma-neg_binary64
301×expm1-udef_binary64
301×log1p-udef_binary64
242×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01740
138736
2567636
Stop Event
node limit
Counts
3 → 208
Calls
Call 1
Inputs
(*.f64 (+.f64 -2 (neg.f64 (/.f64 2 z))) (/.f64 1 (neg.f64 t)))
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 -2 (neg.f64 (/.f64 2 z))) (/.f64 1 (neg.f64 t)))))
(+.f64 -2 (neg.f64 (/.f64 2 z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (/.f64 1 t)) (*.f64 (/.f64 -2 z) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -2 z) (/.f64 1 t)) (*.f64 -2 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 t) -2) (*.f64 (/.f64 1 t) (/.f64 -2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 t) (/.f64 -2 z)) (*.f64 (/.f64 1 t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -2 t) (/.f64 (/.f64 -2 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (/.f64 -2 z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (+.f64 -2 (/.f64 -2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 -2 (/.f64 -2 z)) 2)) (/.f64 t (cbrt.f64 (+.f64 -2 (/.f64 -2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -2 (/.f64 -2 z))) (/.f64 t (sqrt.f64 (+.f64 -2 (/.f64 -2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (pow.f64 (/.f64 -2 z) 3)) (*.f64 t (fma.f64 (/.f64 -2 z) (-.f64 (/.f64 -2 z) -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4 (/.f64 4 (*.f64 z z))) (*.f64 t (+.f64 -2 (/.f64 -2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -2 (/.f64 -2 z))) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 (/.f64 -2 z) 3)) 1) (*.f64 (fma.f64 (/.f64 -2 z) (-.f64 (/.f64 -2 z) -2) 4) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 4 (/.f64 4 (*.f64 z z))) 1) (*.f64 (+.f64 -2 (/.f64 -2 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 (/.f64 -2 z) 3)) -1) (*.f64 (fma.f64 (/.f64 -2 z) (-.f64 (/.f64 -2 z) -2) 4) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 4 (/.f64 4 (*.f64 z z))) -1) (*.f64 (+.f64 -2 (/.f64 -2 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 -8 (pow.f64 (/.f64 -2 z) 3))) (*.f64 t (fma.f64 (/.f64 -2 z) (-.f64 (/.f64 -2 z) -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 4 (/.f64 4 (*.f64 z z)))) (*.f64 t (+.f64 -2 (/.f64 -2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) (cbrt.f64 (*.f64 t t))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) -1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 (/.f64 -2 z) 3)) (/.f64 1 t)) (fma.f64 (/.f64 -2 z) (-.f64 (/.f64 -2 z) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 4 (/.f64 4 (*.f64 z z))) (/.f64 1 t)) (+.f64 -2 (/.f64 -2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 -2 (/.f64 -2 z))) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -2 (/.f64 -2 z)) -1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 t) (+.f64 -8 (pow.f64 (/.f64 -2 z) 3))) (fma.f64 (/.f64 -2 z) (-.f64 (/.f64 -2 z) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 t) (+.f64 4 (/.f64 4 (*.f64 z z)))) (+.f64 -2 (/.f64 -2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 t) (*.f64 (/.f64 -2 z) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 z) (/.f64 1 t) (*.f64 -2 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2 (*.f64 (/.f64 1 t) (/.f64 -2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) (/.f64 -2 z) (*.f64 (/.f64 1 t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t) (+.f64 -2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (-.f64 (/.f64 x y) -2) (/.f64 (+.f64 -2 (/.f64 -2 z)) t))) (/.f64 (pow.f64 (+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)) 2) (-.f64 (-.f64 (/.f64 x y) -2) (/.f64 (+.f64 -2 (/.f64 -2 z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t) (+.f64 -2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t) (+.f64 -2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t) (+.f64 -2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t) (+.f64 -2 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) t) (+.f64 -2 (/.f64 x y)))) 2) 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(/.f64 -2 z))) (sqrt.f64 (/.f64 -2 z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 -2 z)) 2)) (cbrt.f64 (/.f64 -2 z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 -2 z))) (sqrt.f64 (/.f64 -2 z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -2 (/.f64 -2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -2 (/.f64 -2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -2 (/.f64 -2 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -2 (/.f64 -2 z))))))))

simplify171.0ms (1.5%)

Algorithm
egg-herbie
Rules
1238×fma-neg_binary64
684×fma-def_binary64
256×cancel-sign-sub-inv_binary64
176×sub-neg_binary64
118×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0341287
1801269
21481269
32341269
43541086
56261086
611911086
727301086
837791086
942421086
1043461086
1143911086
1244011086
1344071086
1447771086
1547771086
Stop Event
saturated
Counts
292 → 228
Calls
Call 1
Inputs
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 2 (*.f64 t z))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 -2 z)
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
Outputs
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 2 t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 2 t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
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(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
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(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
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(/.f64 2 (*.f64 t z))
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(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 x y) -2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 x y) -2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(/.f64 -2 z)
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
(+.f64 -2 (neg.f64 (/.f64 2 z)))
(+.f64 -2 (/.f64 -2 z))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
(+.f64 -2 (neg.f64 (/.f64 2 z)))
(+.f64 -2 (/.f64 -2 z))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
(+.f64 -2 (neg.f64 (/.f64 2 z)))
(+.f64 -2 (/.f64 -2 z))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
(+.f64 -2 (neg.f64 (/.f64 2 z)))
(+.f64 -2 (/.f64 -2 z))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
(+.f64 -2 (neg.f64 (/.f64 2 z)))
(+.f64 -2 (/.f64 -2 z))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
(+.f64 -2 (neg.f64 (/.f64 2 z)))
(+.f64 -2 (/.f64 -2 z))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
(+.f64 -2 (neg.f64 (/.f64 2 z)))
(+.f64 -2 (/.f64 -2 z))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
(+.f64 -2 (neg.f64 (/.f64 2 z)))
(+.f64 -2 (/.f64 -2 z))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))))
(+.f64 -2 (neg.f64 (/.f64 2 z)))
(+.f64 -2 (/.f64 -2 z))

localize4.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 29 to 12 computations (58.6% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

18 calls:

TimeVariablePointExpression
1.0ms
t
@0
(/.f64 2 (*.f64 t z))
1.0ms
t
@inf
(/.f64 2 (*.f64 t z))
1.0ms
z
@0
(/.f64 2 (*.f64 t z))
0.0ms
z
@inf
(/.f64 2 (*.f64 t z))
0.0ms
t
@-inf
(/.f64 2 (*.f64 t z))

rewrite71.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
592×log-prod_binary64
458×pow-prod-down_binary64
381×fma-def_binary64
316×pow2_binary64
224×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
122820
2344420
Stop Event
node limit
Counts
2 → 120
Calls
Call 1
Inputs
(/.f64 2 (*.f64 t z))
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
Outputs
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(/.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 x) z (*.f64 (neg.f64 y) (/.f64 2 t))) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (pow.f64 (*.f64 t z) 2)) (pow.f64 (/.f64 x y) 2)) (-.f64 (/.f64 (/.f64 2 t) z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 2 y (*.f64 (*.f64 x z) t)) y) (*.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (/.f64 2 t) z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (/.f64 2 t) z) (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (/.f64 2 t) z) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 2 t) z) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 2 t) z) (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 t z) y) (fma.f64 2 y (*.f64 (*.f64 x z) t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (/.f64 2 t) z) (-.f64 (/.f64 (/.f64 2 t) z) (/.f64 x y)) (pow.f64 (/.f64 x y) 2)) (fma.f64 8 (pow.f64 (*.f64 t z) -3) (pow.f64 (/.f64 x y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z)) (-.f64 (pow.f64 (/.f64 x y) 2) (/.f64 4 (pow.f64 (*.f64 t z) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 2 t) z) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (/.f64 2 t) z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (/.f64 2 t) z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 2 t) z))) (exp.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (/.f64 2 t) z)) (+.f64 1 (expm1.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 2 t) z))) (+.f64 1 (expm1.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x y))) (exp.f64 (/.f64 (/.f64 2 t) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 1 (expm1.f64 (/.f64 (/.f64 2 t) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x y))) (+.f64 1 (expm1.f64 (/.f64 (/.f64 2 t) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 2 t) z) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (*.f64 t z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 2 t) z) 1 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 1 (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (/.f64 2 t) z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (/.f64 2 t) z)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 t) z)) 2) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 t) z)) 2) (cbrt.f64 (/.f64 (/.f64 2 t) z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 y)) (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (/.f64 2 t) z)) (sqrt.f64 (/.f64 (/.f64 2 t) z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 y)) (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (*.f64 t (neg.f64 z))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) x (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (*.f64 t z)) 2 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 t) (/.f64 1 z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) y) (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 x (cbrt.f64 y)) (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x y)) (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (/.f64 2 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (/.f64 2 t) z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 (/.f64 2 t) z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (/.f64 2 t) z) (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (/.f64 2 t) z) (/.f64 x y))))))))

simplify33.0ms (0.3%)

Algorithm
egg-herbie
Rules
13×associate-/r/_binary64
11×associate-*l/_binary64
*-commutative_binary64
associate-/l*_binary64
fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013531
124531
234531
342531
451531
568531
696531
7107531
8112531
9112531
Stop Event
saturated
Counts
168 → 124
Calls
Call 1
Inputs
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
Outputs
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 2 (/.f64 2 z)) t)
0.0b
(+.f64 2 (/.f64 2 z))
0.0b
(+.f64 2 (/.f64 2 z))
0.1b
(/.f64 (+.f64 2 (/.f64 2 z)) t)
Compiler

Compiled 32 to 24 computations (25% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify21.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize25.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 2 (/.f64 2 z)) t)
0.1b
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
0.0b
(+.f64 2 (/.f64 2 z))
0.0b
(+.f64 2 (/.f64 2 z))
0.1b
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
0.1b
(/.f64 (+.f64 2 (/.f64 2 z)) t)
Compiler

Compiled 59 to 39 computations (33.9% saved)

series10.0ms (0.1%)

Counts
1 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
y
@0
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
1.0ms
y
@-inf
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
1.0ms
x
@0
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
1.0ms
y
@inf
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
1.0ms
x
@inf
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))

rewrite58.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
698×log-prod_binary64
322×prod-diff_binary64
275×expm1-udef_binary64
275×log1p-udef_binary64
255×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01624
135219
2467919
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) 1) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x y) -2) (/.f64 (+.f64 2 (/.f64 2 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y)))) (cbrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))) (sqrt.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) 2) (*.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (pow.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) 2)) (-.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)) (exp.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))) (exp.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))))))))

simplify189.0ms (1.7%)

Algorithm
egg-herbie
Rules
1145×fma-neg_binary64
459×fma-def_binary64
174×sub-neg_binary64
158×cancel-sign-sub-inv_binary64
120×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030909
173909
2123909
3182909
4276792
5524792
61019792
72212792
83167792
93660792
103869792
113914792
123924792
133930792
144357792
154357792
Stop Event
saturated
Counts
79 → 45
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 2 (*.f64 t z))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
Outputs
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 2 t) (-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)) 2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 2 t) (-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)) 2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 2 t) (-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)) 2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 2 t) (-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)) 2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 2 t) (-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)) 2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 2 t) (-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)) 2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 2 t) (-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)) 2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 2 t) (-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)) 2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 2 t) (-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)) 2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 2 t) (-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)) 2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (*.f64 t z)) 2)))
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(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))

eval297.0ms (2.7%)

Compiler

Compiled 10690 to 7042 computations (34.1% saved)

prune106.0ms (1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New5527559
Fresh123
Picked101
Done224
Total55611567
Error
0b
Counts
567 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
17.0b
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z)))
30.3b
(+.f64 (/.f64 x y) -2)
31.5b
(+.f64 (/.f64 x y) (*.f64 1 (/.f64 (/.f64 2 t) z)))
31.4b
(+.f64 (/.f64 2 t) -2)
46.6b
(/.f64 x y)
31.5b
(fma.f64 (/.f64 1 y) x (/.f64 (/.f64 2 t) z))
31.2b
(+.f64 (/.f64 (/.f64 2 z) t) -2)
15.6b
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t)))
33.1b
(/.f64 (+.f64 2 (/.f64 2 z)) t)
31.5b
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
47.4b
(/.f64 2 (*.f64 t z))
Compiler

Compiled 236 to 180 computations (23.7% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t)))
0.0b
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t)))
Compiler

Compiled 29 to 18 computations (37.9% saved)

series7.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t)))
0.0ms
t
@inf
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t)))
0.0ms
t
@-inf
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t)))
0.0ms
x
@-inf
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t)))
0.0ms
x
@inf
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t)))

rewrite61.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
531×log-prod_binary64
408×fma-def_binary64
384×pow-prod-down_binary64
311×pow2_binary64
238×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
123313
2337113
Stop Event
node limit
Counts
1 → 91
Calls
Call 1
Inputs
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (-.f64 (/.f64 x y) -2) (/.f64 2 t))) (/.f64 (pow.f64 (+.f64 -2 (/.f64 2 t)) 2) (-.f64 (-.f64 (/.f64 x y) -2) (/.f64 2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y)))) 2) (cbrt.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y)))) (sqrt.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (+.f64 -2 (/.f64 2 t)) 3)) (/.f64 1 (fma.f64 (+.f64 -2 (/.f64 2 t)) (-.f64 (+.f64 -2 (/.f64 2 t)) (/.f64 x y)) (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (+.f64 -2 (/.f64 2 t)) 2)) (/.f64 1 (-.f64 (-.f64 (/.f64 x y) -2) (/.f64 2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 -2 (/.f64 2 t)) (-.f64 (+.f64 -2 (/.f64 2 t)) (/.f64 x y)) (pow.f64 (/.f64 x y) 2)) (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (+.f64 -2 (/.f64 2 t)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 (/.f64 x y) -2) (/.f64 2 t)) (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (+.f64 -2 (/.f64 2 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (+.f64 -2 (/.f64 2 t)) 3)) (fma.f64 (+.f64 -2 (/.f64 2 t)) (-.f64 (+.f64 -2 (/.f64 2 t)) (/.f64 x y)) (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (+.f64 -2 (/.f64 2 t)) 3)) (+.f64 (pow.f64 (+.f64 -2 (/.f64 2 t)) 2) (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (+.f64 -2 (/.f64 2 t)) 2)) (-.f64 (-.f64 (/.f64 x y) -2) (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (+.f64 -2 (/.f64 2 t)) 3))) (neg.f64 (fma.f64 (+.f64 -2 (/.f64 2 t)) (-.f64 (+.f64 -2 (/.f64 2 t)) (/.f64 x y)) (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (+.f64 -2 (/.f64 2 t)) 2))) (neg.f64 (-.f64 (-.f64 (/.f64 x y) -2) (/.f64 2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (fma.f64 (/.f64 2 t) (-.f64 (/.f64 2 t) -2) 4) (*.f64 y (fma.f64 8 (pow.f64 t -3) -8))) (*.f64 y (fma.f64 (/.f64 2 t) (-.f64 (/.f64 2 t) -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 (/.f64 2 t) (-.f64 (/.f64 2 t) -2) 4) (*.f64 (/.f64 y x) (fma.f64 8 (pow.f64 t -3) -8))) (*.f64 (/.f64 y x) (fma.f64 (/.f64 2 t) (-.f64 (/.f64 2 t) -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 2 t) (-.f64 (/.f64 2 t) -2) 4) (*.f64 (neg.f64 y) (fma.f64 8 (pow.f64 t -3) -8))) (*.f64 (neg.f64 y) (fma.f64 (/.f64 2 t) (-.f64 (/.f64 2 t) -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (-.f64 -2 (/.f64 2 t)) (*.f64 y (-.f64 4 (/.f64 4 (*.f64 t t))))) (*.f64 y (-.f64 -2 (/.f64 2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 -2 (/.f64 2 t)) (*.f64 (/.f64 y x) (-.f64 4 (/.f64 4 (*.f64 t t))))) (*.f64 (/.f64 y x) (-.f64 -2 (/.f64 2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 x) (-.f64 -2 (/.f64 2 t)) (*.f64 (neg.f64 y) (-.f64 4 (/.f64 4 (*.f64 t t))))) (*.f64 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2 t) (-.f64 (/.f64 2 t) -2) 4) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 4 (/.f64 4 (*.f64 t t))) (neg.f64 y) (*.f64 (-.f64 -2 (/.f64 2 t)) (neg.f64 x))) (*.f64 (-.f64 -2 (/.f64 2 t)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 x y) -2) 3) (*.f64 8 (pow.f64 t -3))) (+.f64 (pow.f64 (+.f64 (/.f64 x y) -2) 2) (-.f64 (/.f64 4 (*.f64 t t)) (*.f64 (+.f64 (/.f64 x y) -2) (/.f64 2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 -2 (/.f64 2 t)) 2) (pow.f64 (/.f64 x y) 2)) (-.f64 (+.f64 -2 (/.f64 2 t)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 x y) -2) 2) (/.f64 4 (*.f64 t t))) (-.f64 (+.f64 (/.f64 x y) -2) (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (+.f64 -2 (/.f64 2 t)) (-.f64 (+.f64 -2 (/.f64 2 t)) (/.f64 x y)) (pow.f64 (/.f64 x y) 2)) (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (+.f64 -2 (/.f64 2 t)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (-.f64 (/.f64 x y) -2) (/.f64 2 t)) (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (+.f64 -2 (/.f64 2 t)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 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(*.f64 (+.f64 1 (expm1.f64 (+.f64 -2 (/.f64 2 t)))) (+.f64 1 (expm1.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 x y) -2)) (+.f64 1 (expm1.f64 (/.f64 2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) (+.f64 -2 (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 1 (+.f64 -2 (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (neg.f64 t)) (+.f64 (/.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 t) (+.f64 (/.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 t) 1 (+.f64 (/.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -2 (/.f64 2 t)) 1 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) (+.f64 -2 (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 t) (+.f64 (/.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 -2 (/.f64 2 t)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 x y) -2) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 t)) (cbrt.f64 (/.f64 4 (*.f64 t t))) (+.f64 (/.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (*.f64 t t))) (cbrt.f64 (/.f64 2 t)) (+.f64 (/.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 y)) (+.f64 -2 (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 -2 (/.f64 2 t))) (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 2 t))) 2) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 2 t))) 2) (cbrt.f64 (+.f64 -2 (/.f64 2 t))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 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#<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x y)) (+.f64 -2 (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (+.f64 -2 (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 x (sqrt.f64 y)) (+.f64 -2 (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (+.f64 -2 (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 x y)))))))))

simplify51.0ms (0.5%)

Algorithm
egg-herbie
Rules
294×fma-neg_binary64
174×fma-def_binary64
108×cancel-sign-sub-inv_binary64
39×sub-neg_binary64
35×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014402
126402
235402
340402
448402
569402
6126402
7271402
8498402
9720402
10959402
111174402
121184402
131199402
141204402
Stop Event
saturated
Counts
127 → 99
Calls
Call 1
Inputs
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(/.f64 2 t)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
Outputs
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 -2 (/.f64 -2 t))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 -2 (/.f64 -2 t))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 -2 (/.f64 -2 t))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(/.f64 2 t)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 x y) -2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 x y) -2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) -2)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.9b
(/.f64 2 (*.f64 t z))
0.9b
(/.f64 2 (*.f64 t z))
Compiler

Compiled 15 to 8 computations (46.7% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize6.0ms (0.1%)

Compiler

Compiled 15 to 8 computations (46.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 2 z) t)
0.2b
(/.f64 (/.f64 2 z) t)
Compiler

Compiled 23 to 16 computations (30.4% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@0
(/.f64 (/.f64 2 z) t)
0.0ms
t
@inf
(/.f64 (/.f64 2 z) t)
0.0ms
t
@-inf
(/.f64 (/.f64 2 z) t)
0.0ms
t
@0
(/.f64 (/.f64 2 z) t)
0.0ms
z
@inf
(/.f64 (/.f64 2 z) t)

rewrite82.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
733×pow1_binary64
684×add-log-exp_binary64
684×log1p-expm1-u_binary64
684×expm1-log1p-u_binary64
670×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11347
218057
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 (/.f64 2 z) t)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (*.f64 z t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 z) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 z) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 z t))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 z t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 z t))) 2) (cbrt.f64 (/.f64 2 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) (*.f64 (cbrt.f64 (/.f64 2 z)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (*.f64 z t))) (sqrt.f64 (/.f64 2 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 z)) (*.f64 (sqrt.f64 (/.f64 2 z)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 z) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 z)) 1) (/.f64 (sqrt.f64 (/.f64 2 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (/.f64 1 z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (/.f64 2 z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 2 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (/.f64 2 z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 t)) (/.f64 (/.f64 1 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (/.f64 2 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (/.f64 2 z)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (*.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (/.f64 z 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 z) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 2 (*.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 2 z) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 z t))))))))

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
211168
Stop Event
saturated
Counts
60 → 38
Calls
Call 1
Inputs
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
Outputs
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
8.5b
(/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z))
0.0b
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z)))
0.0b
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z)))
8.5b
(/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z))
Compiler

Compiled 45 to 24 computations (46.7% saved)

series20.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
12.0ms
y
@-inf
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z)))
1.0ms
z
@-inf
(/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z))
1.0ms
t
@0
(/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z))
1.0ms
t
@inf
(/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z))
1.0ms
z
@0
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z)))

rewrite83.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
780×log-prod_binary64
523×fma-def_binary64
284×fma-neg_binary64
275×log-div_binary64
265×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01232
127728
2437928
Stop Event
node limit
Counts
2 → 145
Calls
Call 1
Inputs
(/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z)))
Outputs
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(/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 (fma.f64 2 z 2) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (/.f64 (fma.f64 2 z 2) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (fma.f64 2 z 2) (*.f64 z t))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 z 2) (*.f64 z t))) 2) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 z 2) (*.f64 z t))) 2) (cbrt.f64 (/.f64 (fma.f64 2 z 2) (*.f64 z t))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 z 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 z 2)) (/.f64 (/.f64 1 t) z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 y)) (/.f64 (fma.f64 2 z 2) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (/.f64 (fma.f64 2 z 2) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (fma.f64 2 z 2) (*.f64 z t))) (sqrt.f64 (/.f64 (fma.f64 2 z 2) (*.f64 z t))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 2 z 2)) (*.f64 (sqrt.f64 (fma.f64 2 z 2)) (/.f64 (/.f64 1 t) z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 y)) (/.f64 (fma.f64 2 z 2) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (/.f64 (fma.f64 2 z 2) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (fma.f64 2 z 2)) (/.f64 1 (*.f64 z (neg.f64 t))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) x (/.f64 (fma.f64 2 z 2) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 1 t) z) (fma.f64 2 z 2) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 2 z 2) t) (/.f64 1 z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) (/.f64 (fma.f64 2 z 2) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (/.f64 (fma.f64 2 z 2) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (/.f64 (fma.f64 2 z 2) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x y)) (/.f64 (fma.f64 2 z 2) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (fma.f64 2 z 2) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 (fma.f64 2 z 2) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (fma.f64 2 z 2) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) (/.f64 (fma.f64 2 z 2) t) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 z 2)) 2) z) (/.f64 (cbrt.f64 (fma.f64 2 z 2)) t) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 2 z 2)) z) (/.f64 (sqrt.f64 (fma.f64 2 z 2)) t) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 2 z 2)) t) (/.f64 (sqrt.f64 (fma.f64 2 z 2)) z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) (/.f64 (fma.f64 2 z 2) z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 z 2)) 2) t) (/.f64 (cbrt.f64 (fma.f64 2 z 2)) z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 z 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 z 2)) (*.f64 z t)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 2 z 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 z 2)) (*.f64 z t)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 z t)) 2)) (/.f64 (fma.f64 2 z 2) (cbrt.f64 (*.f64 z t))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 z 2)) 2) (pow.f64 (cbrt.f64 (*.f64 z t)) 2)) (cbrt.f64 (/.f64 (fma.f64 2 z 2) (*.f64 z t))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 2 z 2)) (pow.f64 (cbrt.f64 (*.f64 z t)) 2)) (/.f64 (sqrt.f64 (fma.f64 2 z 2)) (cbrt.f64 (*.f64 z t))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (*.f64 z t))) (/.f64 (fma.f64 2 z 2) (sqrt.f64 (*.f64 z t))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 z 2)) 2) (sqrt.f64 (*.f64 z t))) (/.f64 (cbrt.f64 (fma.f64 2 z 2)) (sqrt.f64 (*.f64 z t))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (fma.f64 2 z 2) (*.f64 z t)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 (fma.f64 2 z 2) (*.f64 z t)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (fma.f64 2 z 2) (*.f64 z t)) (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (fma.f64 2 z 2) (*.f64 z t)) (/.f64 x y))))))))

simplify386.0ms (3.5%)

Algorithm
egg-herbie
Rules
3566×associate-*l/_binary64
1221×fma-def_binary64
835×associate-/l/_binary64
574×associate-/l*_binary64
512×associate-/r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0301071
1611071
2921071
31171071
4168888
5272888
6409888
7670888
8958888
91795888
102129888
112412888
122433888
132487888
142890888
155340888
165750888
175938888
185953888
195960888
205967888
215974888
225981888
235988888
245995888
256002888
266009888
276016888
286023888
296030888
306037888
316044888
326051888
336058888
346065888
356072888
366079888
376086888
386093888
396100888
406107888
416114888
426121888
436128888
446135888
Stop Event
node limit
Counts
217 → 159
Calls
Call 1
Inputs
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(/.f64 x y)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (/.f64 2 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (/.f64 2 t)))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (/.f64 2 t)))
Outputs
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 2 t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 2 t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 (*.f64 2 z) 2) (*.f64 t z))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(/.f64 x y)
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(/.f64 x y)
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(/.f64 x y)
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 t) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 t) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(/.f64 x y)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (/.f64 2 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (/.f64 2 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (+.f64 (/.f64 x y) (/.f64 2 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))

eval170.0ms (1.5%)

Compiler

Compiled 5545 to 3234 computations (41.7% saved)

prune59.0ms (0.5%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New3222324
Fresh044
Picked011
Done156
Total32312335
Error
0b
Counts
335 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
17.0b
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z)))
30.3b
(+.f64 (/.f64 x y) -2)
31.5b
(+.f64 (/.f64 x y) (*.f64 1 (/.f64 (/.f64 2 t) z)))
31.4b
(+.f64 (/.f64 2 t) -2)
46.6b
(/.f64 x y)
31.5b
(fma.f64 (/.f64 1 y) x (/.f64 (/.f64 2 t) z))
31.2b
(+.f64 (/.f64 (/.f64 2 z) t) -2)
32.4b
(+.f64 (/.f64 2 t) (/.f64 x y))
33.1b
(/.f64 (+.f64 2 (/.f64 2 z)) t)
31.5b
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
47.4b
(/.f64 2 (*.f64 t z))
48.3b
(/.f64 2 t)
Compiler

Compiled 200 to 153 computations (23.5% saved)

localize6.0ms (0.1%)

Compiler

Compiled 15 to 12 computations (20% saved)

localize4.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 2 (/.f64 2 z)) t)
0.0b
(+.f64 2 (/.f64 2 z))
0.0b
(+.f64 2 (/.f64 2 z))
0.1b
(/.f64 (+.f64 2 (/.f64 2 z)) t)
Compiler

Compiled 22 to 16 computations (27.3% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 2 t) (/.f64 x y))
0.0b
(+.f64 (/.f64 2 t) (/.f64 x y))
Compiler

Compiled 21 to 11 computations (47.6% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
t
@0
(+.f64 (/.f64 2 t) (/.f64 x y))
0.0ms
x
@-inf
(+.f64 (/.f64 2 t) (/.f64 x y))
0.0ms
t
@inf
(+.f64 (/.f64 2 t) (/.f64 x y))
0.0ms
y
@-inf
(+.f64 (/.f64 2 t) (/.f64 x y))
0.0ms
t
@-inf
(+.f64 (/.f64 2 t) (/.f64 x y))

rewrite59.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
469×log-prod_binary64
358×exp-prod_binary64
334×pow-prod-down_binary64
306×fma-def_binary64
261×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
118710
2284310
Stop Event
node limit
Counts
1 → 92
Calls
Call 1
Inputs
(+.f64 (/.f64 2 t) (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2 t) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4 (pow.f64 t -2)) (-.f64 (/.f64 2 t) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 y x) -2) (-.f64 (/.f64 2 t) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 t) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 t) (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 t) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 t) (/.f64 x y))) 2) (cbrt.f64 (+.f64 (/.f64 2 t) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 t) (/.f64 x y))) (sqrt.f64 (+.f64 (/.f64 2 t) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 y (*.f64 t x)) (/.f64 1 (*.f64 t y)))))) 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y) (/.f64 2 t)) (*.f64 4 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 t -3) (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 y x) -2) (-.f64 (*.f64 4 (pow.f64 t -2)) (*.f64 (/.f64 2 t) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (pow.f64 t -2)) (pow.f64 (/.f64 y x) -2)) (-.f64 (/.f64 2 t) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 2 y (*.f64 t x))) (neg.f64 (*.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 8 (pow.f64 t -3) (pow.f64 (/.f64 x y) 3))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 2 t)) (*.f64 4 (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 t -2)) (pow.f64 (/.f64 y x) -2))) (neg.f64 (-.f64 (/.f64 2 t) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 (*.f64 t 1/2) x)) (*.f64 (*.f64 t 1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x 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(neg.f64 y) 2)) (*.f64 (neg.f64 y) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (*.f64 t 1/2) y) (*.f64 y (*.f64 t 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 t 1/2 (*.f64 (/.f64 y x) 1)) (*.f64 (/.f64 y x) (*.f64 t 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 x) (*.f64 t 1/2) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (*.f64 t 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (neg.f64 t) (*.f64 y -2)) (*.f64 y (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 t (*.f64 (/.f64 y x) -2)) (*.f64 (/.f64 y x) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 x) (neg.f64 t) (*.f64 (neg.f64 y) -2)) (*.f64 (neg.f64 y) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 y x) -2) (*.f64 4 (pow.f64 t -2))) (-.f64 (/.f64 x y) (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 2 y (*.f64 t x)) t) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 t) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 t) (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (/.f64 2 t) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 t y) (fma.f64 2 y (*.f64 t x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 2 t)) (*.f64 4 (pow.f64 t -2))) (fma.f64 8 (pow.f64 t -3) (pow.f64 (/.f64 x y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (/.f64 2 t) (/.f64 x y)) (-.f64 (*.f64 4 (pow.f64 t -2)) (pow.f64 (/.f64 y x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 t) (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 t) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 t) (/.f64 x y))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 t) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2 t) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 t) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 t))) (exp.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 2 t)) (+.f64 1 (expm1.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 t))) (+.f64 1 (expm1.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x y))) (exp.f64 (/.f64 2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 1 (expm1.f64 (/.f64 2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x y))) (+.f64 1 (expm1.f64 (/.f64 2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 t) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 t) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 t) 1 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 1 (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 t) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 y)) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 y x) -2)) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -2)) (cbrt.f64 (/.f64 x y)) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 t)) (cbrt.f64 (*.f64 4 (pow.f64 t -2))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 t -2))) (cbrt.f64 (/.f64 2 t)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 y)) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 t)) (sqrt.f64 (/.f64 2 t)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (neg.f64 t)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) x (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) 2 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 x (cbrt.f64 y)) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x y)) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 x (sqrt.f64 y)) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 t) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2 t) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 t) (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 t) (/.f64 x y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 t) (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 t) (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 t) (/.f64 x y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2 t) (/.f64 x y))))))))

simplify19.0ms (0.2%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
associate-*r/_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011306
116306
219306
Stop Event
saturated
Counts
128 → 96
Calls
Call 1
Inputs
(/.f64 2 t)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
Outputs
(/.f64 2 t)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(/.f64 2 t)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(/.f64 2 t)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(/.f64 2 t)
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 2 t))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 2 t) z)
0.0b
(+.f64 (/.f64 x y) (*.f64 1 (/.f64 (/.f64 2 t) z)))
0.0b
(+.f64 (/.f64 x y) (*.f64 1 (/.f64 (/.f64 2 t) z)))
0.2b
(/.f64 (/.f64 2 t) z)
Compiler

Compiled 39 to 23 computations (41% saved)

series5.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
0.0ms
t
@0
(/.f64 (/.f64 2 t) z)
0.0ms
x
@0
(+.f64 (/.f64 x y) (*.f64 1 (/.f64 (/.f64 2 t) z)))
0.0ms
z
@inf
(+.f64 (/.f64 x y) (*.f64 1 (/.f64 (/.f64 2 t) z)))
0.0ms
t
@inf
(+.f64 (/.f64 x y) (*.f64 1 (/.f64 (/.f64 2 t) z)))
0.0ms
x
@-inf
(+.f64 (/.f64 x y) (*.f64 1 (/.f64 (/.f64 2 t) z)))

rewrite66.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
607×log-prod_binary64
403×fma-def_binary64
322×pow2_binary64
257×log-div_binary64
222×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01220
126320
2361520
Stop Event
node limit
Counts
2 → 147
Calls
Call 1
Inputs
(/.f64 (/.f64 2 t) z)
(+.f64 (/.f64 x y) (*.f64 1 (/.f64 (/.f64 2 t) z)))
Outputs
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(/.f64 (sqrt.f64 (/.f64 2 t)) 1) (/.f64 (sqrt.f64 (/.f64 2 t)) z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (cbrt.f64 (*.f64 z z))) (/.f64 (pow.f64 t -1) (cbrt.f64 z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (/.f64 2 t) (cbrt.f64 z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 t)) 2) (cbrt.f64 (*.f64 z z))) (cbrt.f64 (/.f64 2 (*.f64 t z))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 2 t)) (cbrt.f64 (*.f64 z z))) (/.f64 (sqrt.f64 (/.f64 2 t)) (cbrt.f64 z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (sqrt.f64 z)) (/.f64 (pow.f64 t -1) (sqrt.f64 z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 (/.f64 2 t) (sqrt.f64 z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 t)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 2 t)) (sqrt.f64 z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) (/.f64 2 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (/.f64 2 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 x (cbrt.f64 y)) (/.f64 2 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 x y)) (/.f64 2 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 2 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 x (sqrt.f64 y)) (/.f64 2 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 2 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))))))))

simplify75.0ms (0.7%)

Algorithm
egg-herbie
Rules
13×associate-/r/_binary64
11×associate-*l/_binary64
*-commutative_binary64
associate-/l*_binary64
fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013699
124699
234699
342699
451699
568699
696699
7107699
8112699
9112699
Stop Event
saturated
Counts
219 → 151
Calls
Call 1
Inputs
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
Outputs
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))

eval220.0ms (2%)

Compiler

Compiled 4806 to 2754 computations (42.7% saved)

prune105.0ms (0.9%)

Pruning

13 alts after pruning (2 fresh and 11 done)

PrunedKeptTotal
New3271328
Fresh011
Picked011
Done01010
Total32713340
Error
0b
Counts
340 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
17.0b
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z)))
30.3b
(+.f64 (/.f64 x y) -2)
31.5b
(+.f64 (/.f64 x y) (*.f64 1 (/.f64 (/.f64 2 t) z)))
31.4b
(+.f64 (/.f64 2 t) -2)
46.6b
(/.f64 x y)
31.5b
(fma.f64 (/.f64 1 y) x (/.f64 (/.f64 2 t) z))
47.4b
(/.f64 (/.f64 2 z) t)
31.2b
(+.f64 (/.f64 (/.f64 2 z) t) -2)
32.4b
(+.f64 (/.f64 2 t) (/.f64 x y))
33.1b
(/.f64 (+.f64 2 (/.f64 2 z)) t)
31.5b
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
47.4b
(/.f64 2 (*.f64 t z))
48.3b
(/.f64 2 t)
Compiler

Compiled 142 to 108 computations (23.9% saved)

regimes250.0ms (2.3%)

Counts
13 → 5
Calls
Call 1
Inputs
(/.f64 2 t)
(/.f64 x y)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(+.f64 (/.f64 x y) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 2 t) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) -2)
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 x y) (*.f64 1 (/.f64 (/.f64 2 t) z)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z)))
(fma.f64 (/.f64 1 y) x (/.f64 (/.f64 2 t) z))
Outputs
(+.f64 (/.f64 x y) -2)
(+.f64 (/.f64 (/.f64 2 z) t) -2)
(+.f64 (/.f64 x y) -2)
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z)))
(+.f64 (/.f64 x y) -2)
Calls

5 calls:

72.0ms
(/.f64 x y)
47.0ms
z
44.0ms
t
44.0ms
y
39.0ms
x
Results
ErrorSegmentsBranch
13.1b3x
11.8b4y
9.5b5z
5.3b5t
6.9b6(/.f64 x y)
Compiler

Compiled 121 to 74 computations (38.8% saved)

bsearch143.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
30.0ms
1.1475424468636479e+41
4.379431177728513e+47
26.0ms
-1.264416978652572e+33
-3.2297412669497585e+31
27.0ms
-1.2643726491059271e+76
-1.8873066400537837e+73
60.0ms
-9.962652057654373e+113
-4.823506836469988e+109
Compiler

Compiled 28 to 21 computations (25% saved)

regimes273.0ms (2.5%)

Counts
11 → 8
Calls
Call 1
Inputs
(/.f64 2 t)
(/.f64 x y)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(+.f64 (/.f64 x y) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 2 t) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) -2)
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 x y) (*.f64 1 (/.f64 (/.f64 2 t) z)))
Outputs
(+.f64 (/.f64 x y) -2)
(+.f64 (/.f64 (/.f64 2 z) t) -2)
(+.f64 (/.f64 x y) -2)
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 t) (/.f64 x y))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 x y) (*.f64 1 (/.f64 (/.f64 2 t) z)))
(+.f64 (/.f64 x y) -2)
Calls

5 calls:

65.0ms
t
60.0ms
y
54.0ms
z
52.0ms
(/.f64 x y)
39.0ms
x
Results
ErrorSegmentsBranch
18.9b5x
15.1b8y
9.6b6z
8.3b8t
8.6b9(/.f64 x y)
Compiler

Compiled 98 to 62 computations (36.7% saved)

bsearch293.0ms (2.6%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
1.1475424468636479e+41
4.379431177728513e+47
32.0ms
3.890276084876806e-19
1.146030721698244e-18
81.0ms
-7.69730352947471e-182
-3.352602768061782e-201
26.0ms
-1.6412755627034009e-59
-1.707792864246722e-64
63.0ms
-1.264416978652572e+33
-3.2297412669497585e+31
26.0ms
-1.2643726491059271e+76
-1.8873066400537837e+73
40.0ms
-9.962652057654373e+113
-4.823506836469988e+109
Compiler

Compiled 292 to 230 computations (21.2% saved)

regimes356.0ms (3.2%)

Counts
10 → 8
Calls
Call 1
Inputs
(/.f64 2 t)
(/.f64 x y)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(+.f64 (/.f64 x y) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 2 t) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) -2)
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
Outputs
(+.f64 (/.f64 x y) -2)
(+.f64 (/.f64 (/.f64 2 z) t) -2)
(+.f64 (/.f64 x y) -2)
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 t) (/.f64 x y))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 x y) -2)
Calls

5 calls:

120.0ms
t
68.0ms
y
62.0ms
z
56.0ms
x
47.0ms
(/.f64 x y)
Results
ErrorSegmentsBranch
18.9b5x
15.1b8y
9.6b6z
8.3b8t
8.6b9(/.f64 x y)
Compiler

Compiled 87 to 56 computations (35.6% saved)

bsearch255.0ms (2.3%)

Algorithm
binary-search
Steps
TimeLeftRight
36.0ms
1.1475424468636479e+41
4.379431177728513e+47
27.0ms
3.890276084876806e-19
1.146030721698244e-18
79.0ms
-7.69730352947471e-182
-3.352602768061782e-201
25.0ms
-1.6412755627034009e-59
-1.707792864246722e-64
33.0ms
-1.264416978652572e+33
-3.2297412669497585e+31
28.0ms
-1.2643726491059271e+76
-1.8873066400537837e+73
26.0ms
-9.962652057654373e+113
-4.823506836469988e+109
Compiler

Compiled 292 to 230 computations (21.2% saved)

regimes292.0ms (2.6%)

Counts
9 → 7
Calls
Call 1
Inputs
(/.f64 2 t)
(/.f64 x y)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(+.f64 (/.f64 x y) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 2 t) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) -2)
Outputs
(+.f64 (/.f64 x y) -2)
(+.f64 (/.f64 (/.f64 2 z) t) -2)
(+.f64 (/.f64 x y) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 2 t) (/.f64 x y))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 x y) -2)
Calls

5 calls:

71.0ms
y
68.0ms
z
64.0ms
x
53.0ms
t
33.0ms
(/.f64 x y)
Results
ErrorSegmentsBranch
18.9b5x
14.3b9y
11.4b8z
9.8b7t
9.9b7(/.f64 x y)
Compiler

Compiled 78 to 53 computations (32.1% saved)

bsearch354.0ms (3.2%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
6.89689392833058e-15
3.333938213860683e-8
176.0ms
-4.131531082713129e-99
-2.894481302413792e-103
28.0ms
-1.4820076192446485e-43
-2.8075481830380663e-53
36.0ms
-3.6452974772863675e+30
-2.5610636039173577e+23
62.0ms
-1.2643726491059271e+76
-1.8873066400537837e+73
26.0ms
-9.962652057654373e+113
-4.823506836469988e+109
Compiler

Compiled 220 to 173 computations (21.4% saved)

regimes215.0ms (1.9%)

Counts
8 → 5
Calls
Call 1
Inputs
(/.f64 2 t)
(/.f64 x y)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(+.f64 (/.f64 x y) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 2 t) (/.f64 x y))
Outputs
(+.f64 (/.f64 x y) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 2 t) (/.f64 x y))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 x y) -2)
Calls

5 calls:

58.0ms
z
54.0ms
(/.f64 x y)
44.0ms
y
32.0ms
t
24.0ms
x
Results
ErrorSegmentsBranch
20.5b5x
15.3b8y
13.4b9z
11.0b5t
12.9b5(/.f64 x y)
Compiler

Compiled 71 to 48 computations (32.4% saved)

bsearch282.0ms (2.5%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
6.89689392833058e-15
3.333938213860683e-8
189.0ms
-4.131531082713129e-99
-2.894481302413792e-103
28.0ms
-1.4820076192446485e-43
-2.8075481830380663e-53
39.0ms
-3.6452974772863675e+30
-2.5610636039173577e+23
Compiler

Compiled 220 to 173 computations (21.4% saved)

regimes265.0ms (2.4%)

Counts
7 → 3
Calls
Call 1
Inputs
(/.f64 2 t)
(/.f64 x y)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(+.f64 (/.f64 x y) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
Outputs
(+.f64 (/.f64 x y) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 x y) -2)
Calls

5 calls:

71.0ms
x
61.0ms
z
56.0ms
y
53.0ms
(/.f64 x y)
20.0ms
t
Results
ErrorSegmentsBranch
20.4b9x
16.7b7y
15.9b6z
12.2b3t
16.3b5(/.f64 x y)
Compiler

Compiled 64 to 45 computations (29.7% saved)

bsearch71.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
44.0ms
6.89689392833058e-15
3.333938213860683e-8
26.0ms
-3.6452974772863675e+30
-2.5610636039173577e+23
Compiler

Compiled 28 to 21 computations (25% saved)

regimes169.0ms (1.5%)

Counts
6 → 6
Calls
Call 1
Inputs
(/.f64 2 t)
(/.f64 x y)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(+.f64 (/.f64 x y) -2)
Outputs
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(+.f64 (/.f64 x y) -2)
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 x y) -2)
(+.f64 (/.f64 2 t) -2)
Calls

5 calls:

46.0ms
y
37.0ms
z
32.0ms
t
29.0ms
x
23.0ms
(/.f64 x y)
Results
ErrorSegmentsBranch
25.0b5x
18.7b7y
16.0b6z
18.2b5t
18.5b5(/.f64 x y)
Compiler

Compiled 57 to 40 computations (29.8% saved)

bsearch545.0ms (4.9%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
2.808378768414948e+85
2.7602678842279075e+87
284.0ms
1.3207010915090383e-88
3.7115526085957955e-67
138.0ms
1.974799660381117e-116
2.6944246347486586e-109
71.0ms
1.810687560202687e-164
3.1780769114138663e-163
27.0ms
-2.352043764897146e-10
-1.4685980717097265e-12
Compiler

Compiled 568 to 453 computations (20.2% saved)

regimes158.0ms (1.4%)

Counts
5 → 6
Calls
Call 1
Inputs
(/.f64 2 t)
(/.f64 x y)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
Outputs
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(/.f64 x y)
(/.f64 (/.f64 2 z) t)
(/.f64 x y)
(+.f64 (/.f64 2 t) -2)
Calls

5 calls:

45.0ms
y
42.0ms
z
32.0ms
t
18.0ms
(/.f64 x y)
17.0ms
x
Results
ErrorSegmentsBranch
26.9b4x
21.1b11y
17.6b6z
26.7b7t
18.6b5(/.f64 x y)
Compiler

Compiled 52 to 38 computations (26.9% saved)

bsearch274.0ms (2.5%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
2.917135296470574e+35
3.8286390607372716e+59
26.0ms
2.244112784901241e-56
1.2641128935317622e-55
143.0ms
1.974799660381117e-116
2.6944246347486586e-109
52.0ms
1.810687560202687e-164
3.1780769114138663e-163
27.0ms
-2.352043764897146e-10
-1.4685980717097265e-12
Compiler

Compiled 316 to 245 computations (22.5% saved)

regimes120.0ms (1.1%)

Counts
4 → 6
Calls
Call 1
Inputs
(/.f64 2 t)
(/.f64 x y)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 z) t)
Outputs
(/.f64 2 t)
(/.f64 2 (*.f64 t z))
(/.f64 x y)
(/.f64 (/.f64 2 z) t)
(/.f64 x y)
(/.f64 2 t)
Calls

5 calls:

28.0ms
(/.f64 x y)
25.0ms
t
24.0ms
z
24.0ms
x
18.0ms
y
Results
ErrorSegmentsBranch
37.9b7x
35.4b5y
30.0b6z
31.7b7t
31.2b7(/.f64 x y)
Compiler

Compiled 47 to 34 computations (27.7% saved)

bsearch273.0ms (2.5%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
2.808378768414948e+85
2.7602678842279075e+87
25.0ms
2.244112784901241e-56
1.2641128935317622e-55
141.0ms
1.974799660381117e-116
2.6944246347486586e-109
50.0ms
1.810687560202687e-164
3.1780769114138663e-163
30.0ms
-2.352043764897146e-10
-1.4685980717097265e-12
Compiler

Compiled 316 to 245 computations (22.5% saved)

regimes105.0ms (0.9%)

Counts
3 → 6
Calls
Call 1
Inputs
(/.f64 2 t)
(/.f64 x y)
(/.f64 2 (*.f64 t z))
Outputs
(/.f64 2 t)
(/.f64 2 (*.f64 t z))
(/.f64 x y)
(/.f64 2 (*.f64 t z))
(/.f64 x y)
(/.f64 2 t)
Calls

5 calls:

23.0ms
x
22.0ms
(/.f64 x y)
22.0ms
t
21.0ms
z
15.0ms
y
Results
ErrorSegmentsBranch
37.9b7x
35.4b5y
30.0b6z
31.7b7t
31.2b7(/.f64 x y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch262.0ms (2.4%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
2.808378768414948e+85
2.7602678842279075e+87
26.0ms
2.244112784901241e-56
1.2641128935317622e-55
131.0ms
1.974799660381117e-116
2.6944246347486586e-109
51.0ms
1.810687560202687e-164
3.1780769114138663e-163
28.0ms
-2.352043764897146e-10
-1.4685980717097265e-12
Compiler

Compiled 316 to 245 computations (22.5% saved)

regimes55.0ms (0.5%)

Accuracy

Total -26.5b remaining (-73.6%)

Threshold costs -26.5b (-73.6%)

Counts
2 → 3
Calls
Call 1
Inputs
(/.f64 2 t)
(/.f64 x y)
Outputs
(/.f64 x y)
(/.f64 2 t)
(/.f64 x y)
Calls

5 calls:

14.0ms
x
12.0ms
z
10.0ms
(/.f64 x y)
9.0ms
t
9.0ms
y
Results
ErrorSegmentsBranch
41.5b5x
38.8b3y
39.8b3z
36.0b3t
36.5b3(/.f64 x y)
Compiler

Compiled 37 to 28 computations (24.3% saved)

bsearch158.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
31.0ms
3.890276084876806e-19
1.146030721698244e-18
127.0ms
-2.546395143178567e-94
-2.0453539099325966e-95
Compiler

Compiled 124 to 99 computations (20.2% saved)

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
*-lft-identity_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113799
1128799
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 t -996265205765437311381816674436395957125343410433847699608663507226144788529155256350796121484284588845047526457344) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -12643726491059271391987391436728199950500229535692885928685028027803918925824) (+.f64 (/.f64 (/.f64 2 z) t) -2) (if (<=.f64 t -1264416978652572004282859431919616) (+.f64 (/.f64 x y) -2) (if (<=.f64 t 114754244686364789796928865290527229083648) (+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z))) (+.f64 (/.f64 x y) -2)))))
(if (<=.f64 t -996265205765437311381816674436395957125343410433847699608663507226144788529155256350796121484284588845047526457344) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -12643726491059271391987391436728199950500229535692885928685028027803918925824) (+.f64 (/.f64 (/.f64 2 z) t) -2) (if (<=.f64 t -1264416978652572004282859431919616) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -1900467264195785472/115792089237316195423570985008687907853269984665640564039457584007913129639936) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z))) (if (<=.f64 t -4688304423636689/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144) (+.f64 (/.f64 2 t) (/.f64 x y)) (if (<=.f64 t 8079787317735603/20769187434139310514121985316880384) (/.f64 (+.f64 2 (/.f64 2 z)) t) (if (<=.f64 t 114754244686364789796928865290527229083648) (+.f64 (/.f64 x y) (*.f64 1 (/.f64 (/.f64 2 t) z))) (+.f64 (/.f64 x y) -2))))))))
(if (<=.f64 t -996265205765437311381816674436395957125343410433847699608663507226144788529155256350796121484284588845047526457344) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -12643726491059271391987391436728199950500229535692885928685028027803918925824) (+.f64 (/.f64 (/.f64 2 z) t) -2) (if (<=.f64 t -1264416978652572004282859431919616) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -1900467264195785472/115792089237316195423570985008687907853269984665640564039457584007913129639936) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z))) (if (<=.f64 t -4688304423636689/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144) (+.f64 (/.f64 2 t) (/.f64 x y)) (if (<=.f64 t 8079787317735603/20769187434139310514121985316880384) (/.f64 (+.f64 2 (/.f64 2 z)) t) (if (<=.f64 t 114754244686364789796928865290527229083648) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z))) (+.f64 (/.f64 x y) -2))))))))
(if (<=.f64 t -996265205765437311381816674436395957125343410433847699608663507226144788529155256350796121484284588845047526457344) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -12643726491059271391987391436728199950500229535692885928685028027803918925824) (+.f64 (/.f64 (/.f64 2 z) t) -2) (if (<=.f64 t -3645297477286367455377742626816) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -7442170078893493/50216813883093446110686315385661331328818843555712276103168) (/.f64 (+.f64 2 (/.f64 2 z)) t) (if (<=.f64 t -378259259485387/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (+.f64 (/.f64 2 t) (/.f64 x y)) (if (<=.f64 t 8742851727958691/1267650600228229401496703205376) (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2)))))))
(if (<=.f64 t -3645297477286367455377742626816) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -7442170078893493/50216813883093446110686315385661331328818843555712276103168) (/.f64 (+.f64 2 (/.f64 2 z)) t) (if (<=.f64 t -378259259485387/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (+.f64 (/.f64 2 t) (/.f64 x y)) (if (<=.f64 t 8742851727958691/1267650600228229401496703205376) (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2)))))
(if (<=.f64 t -3645297477286367455377742626816) (+.f64 (/.f64 x y) -2) (if (<=.f64 t 8742851727958691/1267650600228229401496703205376) (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2)))
(if (<=.f64 z -4549514297996417/19342813113834066795298816) (+.f64 (/.f64 2 t) -2) (if (<=.f64 z 599734672064831/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 2 (*.f64 t z)) (if (<=.f64 z 43999885282678944/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (+.f64 (/.f64 x y) -2) (if (<=.f64 z 1238489252634638592/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (/.f64 2 z) t) (if (<=.f64 z 28083787684149478441247091444777418823357664472845111947387581563336626141059216310272) (+.f64 (/.f64 x y) -2) (+.f64 (/.f64 2 t) -2))))))
(if (<=.f64 z -4549514297996417/19342813113834066795298816) (+.f64 (/.f64 2 t) -2) (if (<=.f64 z 599734672064831/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 2 (*.f64 t z)) (if (<=.f64 z 43999885282678944/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 x y) (if (<=.f64 z 1239063777198251/55213970774324510299478046898216203619608871777363092441300193790394368) (/.f64 (/.f64 2 z) t) (if (<=.f64 z 291713529647057401298389110559342592) (/.f64 x y) (+.f64 (/.f64 2 t) -2))))))
(if (<=.f64 z -4549514297996417/19342813113834066795298816) (/.f64 2 t) (if (<=.f64 z 599734672064831/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 2 (*.f64 t z)) (if (<=.f64 z 43999885282678944/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 x y) (if (<=.f64 z 1239063777198251/55213970774324510299478046898216203619608871777363092441300193790394368) (/.f64 (/.f64 2 z) t) (if (<=.f64 z 28083787684149478441247091444777418823357664472845111947387581563336626141059216310272) (/.f64 x y) (/.f64 2 t))))))
(if (<=.f64 z -4549514297996417/19342813113834066795298816) (/.f64 2 t) (if (<=.f64 z 599734672064831/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 2 (*.f64 t z)) (if (<=.f64 z 43999885282678944/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 x y) (if (<=.f64 z 1239063777198251/55213970774324510299478046898216203619608871777363092441300193790394368) (/.f64 2 (*.f64 t z)) (if (<=.f64 z 28083787684149478441247091444777418823357664472845111947387581563336626141059216310272) (/.f64 x y) (/.f64 2 t))))))
(if (<=.f64 t -98638788476501/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952) (/.f64 x y) (if (<=.f64 t 8079787317735603/20769187434139310514121985316880384) (/.f64 2 t) (/.f64 x y)))
(/.f64 2 t)
Outputs
(if (<=.f64 t -996265205765437311381816674436395957125343410433847699608663507226144788529155256350796121484284588845047526457344) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -12643726491059271391987391436728199950500229535692885928685028027803918925824) (+.f64 (/.f64 (/.f64 2 z) t) -2) (if (<=.f64 t -1264416978652572004282859431919616) (+.f64 (/.f64 x y) -2) (if (<=.f64 t 114754244686364789796928865290527229083648) (+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z))) (+.f64 (/.f64 x y) -2)))))
(if (<=.f64 t -996265205765437311381816674436395957125343410433847699608663507226144788529155256350796121484284588845047526457344) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -12643726491059271391987391436728199950500229535692885928685028027803918925824) (+.f64 -2 (/.f64 (/.f64 2 z) t)) (if (<=.f64 t -1264416978652572004282859431919616) (+.f64 (/.f64 x y) -2) (if (<=.f64 t 114754244686364789796928865290527229083648) (+.f64 (/.f64 x y) (/.f64 (+.f64 2 (*.f64 2 z)) (*.f64 t z))) (+.f64 (/.f64 x y) -2)))))
(if (<=.f64 t -996265205765437311381816674436395957125343410433847699608663507226144788529155256350796121484284588845047526457344) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -12643726491059271391987391436728199950500229535692885928685028027803918925824) (+.f64 (/.f64 (/.f64 2 z) t) -2) (if (<=.f64 t -1264416978652572004282859431919616) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -1900467264195785472/115792089237316195423570985008687907853269984665640564039457584007913129639936) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z))) (if (<=.f64 t -4688304423636689/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144) (+.f64 (/.f64 2 t) (/.f64 x y)) (if (<=.f64 t 8079787317735603/20769187434139310514121985316880384) (/.f64 (+.f64 2 (/.f64 2 z)) t) (if (<=.f64 t 114754244686364789796928865290527229083648) (+.f64 (/.f64 x y) (*.f64 1 (/.f64 (/.f64 2 t) z))) (+.f64 (/.f64 x y) -2))))))))
(if (<=.f64 t -996265205765437311381816674436395957125343410433847699608663507226144788529155256350796121484284588845047526457344) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -12643726491059271391987391436728199950500229535692885928685028027803918925824) (+.f64 -2 (/.f64 (/.f64 2 z) t)) (if (<=.f64 t -1264416978652572004282859431919616) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -7423700250764787/452312848583266388373324160190187140051835877600158453279131187530910662656) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z))) (if (<=.f64 t -4688304423636689/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144) (+.f64 (/.f64 x y) (/.f64 2 t)) (if (<=.f64 t 8079787317735603/20769187434139310514121985316880384) (/.f64 (+.f64 2 (/.f64 2 z)) t) (if (<=.f64 t 114754244686364789796928865290527229083648) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z)) (+.f64 (/.f64 x y) -2))))))))
(if (<=.f64 t -996265205765437311381816674436395957125343410433847699608663507226144788529155256350796121484284588845047526457344) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -12643726491059271391987391436728199950500229535692885928685028027803918925824) (+.f64 (/.f64 (/.f64 2 z) t) -2) (if (<=.f64 t -1264416978652572004282859431919616) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -1900467264195785472/115792089237316195423570985008687907853269984665640564039457584007913129639936) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z))) (if (<=.f64 t -4688304423636689/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144) (+.f64 (/.f64 2 t) (/.f64 x y)) (if (<=.f64 t 8079787317735603/20769187434139310514121985316880384) (/.f64 (+.f64 2 (/.f64 2 z)) t) (if (<=.f64 t 114754244686364789796928865290527229083648) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z))) (+.f64 (/.f64 x y) -2))))))))
(if (<=.f64 t -996265205765437311381816674436395957125343410433847699608663507226144788529155256350796121484284588845047526457344) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -12643726491059271391987391436728199950500229535692885928685028027803918925824) (+.f64 -2 (/.f64 (/.f64 2 z) t)) (if (<=.f64 t -1264416978652572004282859431919616) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -7423700250764787/452312848583266388373324160190187140051835877600158453279131187530910662656) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z))) (if (<=.f64 t -4688304423636689/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144) (+.f64 (/.f64 x y) (/.f64 2 t)) (if (<=.f64 t 8079787317735603/20769187434139310514121985316880384) (/.f64 (+.f64 2 (/.f64 2 z)) t) (if (<=.f64 t 114754244686364789796928865290527229083648) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z))) (+.f64 (/.f64 x y) -2))))))))
(if (<=.f64 t -996265205765437311381816674436395957125343410433847699608663507226144788529155256350796121484284588845047526457344) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -12643726491059271391987391436728199950500229535692885928685028027803918925824) (+.f64 (/.f64 (/.f64 2 z) t) -2) (if (<=.f64 t -3645297477286367455377742626816) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -7442170078893493/50216813883093446110686315385661331328818843555712276103168) (/.f64 (+.f64 2 (/.f64 2 z)) t) (if (<=.f64 t -378259259485387/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (+.f64 (/.f64 2 t) (/.f64 x y)) (if (<=.f64 t 8742851727958691/1267650600228229401496703205376) (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2)))))))
(if (<=.f64 t -996265205765437311381816674436395957125343410433847699608663507226144788529155256350796121484284588845047526457344) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -12643726491059271391987391436728199950500229535692885928685028027803918925824) (+.f64 -2 (/.f64 (/.f64 2 z) t)) (if (<=.f64 t -3645297477286367455377742626816) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -7442170078893493/50216813883093446110686315385661331328818843555712276103168) (/.f64 (+.f64 2 (/.f64 2 z)) t) (if (<=.f64 t -378259259485387/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (+.f64 (/.f64 x y) (/.f64 2 t)) (if (<=.f64 t 8742851727958691/1267650600228229401496703205376) (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2)))))))
(if (<=.f64 t -3645297477286367455377742626816) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -7442170078893493/50216813883093446110686315385661331328818843555712276103168) (/.f64 (+.f64 2 (/.f64 2 z)) t) (if (<=.f64 t -378259259485387/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (+.f64 (/.f64 2 t) (/.f64 x y)) (if (<=.f64 t 8742851727958691/1267650600228229401496703205376) (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2)))))
(if (<=.f64 t -3645297477286367455377742626816) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -7442170078893493/50216813883093446110686315385661331328818843555712276103168) (/.f64 (+.f64 2 (/.f64 2 z)) t) (if (<=.f64 t -378259259485387/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (+.f64 (/.f64 x y) (/.f64 2 t)) (if (<=.f64 t 8742851727958691/1267650600228229401496703205376) (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2)))))
(if (<=.f64 t -3645297477286367455377742626816) (+.f64 (/.f64 x y) -2) (if (<=.f64 t 8742851727958691/1267650600228229401496703205376) (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2)))
(if (<=.f64 z -4549514297996417/19342813113834066795298816) (+.f64 (/.f64 2 t) -2) (if (<=.f64 z 599734672064831/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 2 (*.f64 t z)) (if (<=.f64 z 43999885282678944/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (+.f64 (/.f64 x y) -2) (if (<=.f64 z 1238489252634638592/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (/.f64 2 z) t) (if (<=.f64 z 28083787684149478441247091444777418823357664472845111947387581563336626141059216310272) (+.f64 (/.f64 x y) -2) (+.f64 (/.f64 2 t) -2))))))
(if (<=.f64 z -4549514297996417/19342813113834066795298816) (+.f64 -2 (/.f64 2 t)) (if (<=.f64 z 599734672064831/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 2 (*.f64 t z)) (if (<=.f64 z 1374996415083717/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (+.f64 (/.f64 x y) -2) (if (<=.f64 z 4837848643104057/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (/.f64 (/.f64 2 z) t) (if (<=.f64 z 28083787684149478441247091444777418823357664472845111947387581563336626141059216310272) (+.f64 (/.f64 x y) -2) (+.f64 -2 (/.f64 2 t)))))))
(if (<=.f64 z -4549514297996417/19342813113834066795298816) (+.f64 (/.f64 2 t) -2) (if (<=.f64 z 599734672064831/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 2 (*.f64 t z)) (if (<=.f64 z 43999885282678944/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 x y) (if (<=.f64 z 1239063777198251/55213970774324510299478046898216203619608871777363092441300193790394368) (/.f64 (/.f64 2 z) t) (if (<=.f64 z 291713529647057401298389110559342592) (/.f64 x y) (+.f64 (/.f64 2 t) -2))))))
(if (<=.f64 z -4549514297996417/19342813113834066795298816) (+.f64 -2 (/.f64 2 t)) (if (<=.f64 z 599734672064831/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 2 (*.f64 t z)) (if (<=.f64 z 1374996415083717/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (/.f64 x y) (if (<=.f64 z 1239063777198251/55213970774324510299478046898216203619608871777363092441300193790394368) (/.f64 (/.f64 2 z) t) (if (<=.f64 z 291713529647057401298389110559342592) (/.f64 x y) (+.f64 -2 (/.f64 2 t)))))))
(if (<=.f64 z -4549514297996417/19342813113834066795298816) (/.f64 2 t) (if (<=.f64 z 599734672064831/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 2 (*.f64 t z)) (if (<=.f64 z 43999885282678944/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 x y) (if (<=.f64 z 1239063777198251/55213970774324510299478046898216203619608871777363092441300193790394368) (/.f64 (/.f64 2 z) t) (if (<=.f64 z 28083787684149478441247091444777418823357664472845111947387581563336626141059216310272) (/.f64 x y) (/.f64 2 t))))))
(if (<=.f64 z -4549514297996417/19342813113834066795298816) (/.f64 2 t) (if (<=.f64 z 599734672064831/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 2 (*.f64 t z)) (if (<=.f64 z 1374996415083717/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (/.f64 x y) (if (<=.f64 z 1239063777198251/55213970774324510299478046898216203619608871777363092441300193790394368) (/.f64 (/.f64 2 z) t) (if (<=.f64 z 28083787684149478441247091444777418823357664472845111947387581563336626141059216310272) (/.f64 x y) (/.f64 2 t))))))
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(if (<=.f64 z -4549514297996417/19342813113834066795298816) (/.f64 2 t) (if (<=.f64 z 599734672064831/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 2 (*.f64 t z)) (if (<=.f64 z 1374996415083717/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (/.f64 x y) (if (<=.f64 z 1239063777198251/55213970774324510299478046898216203619608871777363092441300193790394368) (/.f64 2 (*.f64 t z)) (if (<=.f64 z 28083787684149478441247091444777418823357664472845111947387581563336626141059216310272) (/.f64 x y) (/.f64 2 t))))))
(if (<=.f64 t -98638788476501/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952) (/.f64 x y) (if (<=.f64 t 8079787317735603/20769187434139310514121985316880384) (/.f64 2 t) (/.f64 x y)))
(/.f64 2 t)

end226.0ms (2%)

Stop Event
fuel
Compiler

Compiled 1160 to 722 computations (37.8% saved)

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