Details

Time bar (total: 9.4s)

analyze227.0ms (2.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
12.5%87.4%0.1%7
20.3%79.6%0.1%8
35.5%64.4%0.1%9
40%59.9%0.1%10
50.5%49.3%0.1%11
63.4%36.4%0.1%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.3s (13.9%)

Results
1.3s8256×body256valid

preprocess109.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
1158×fma-neg_binary64
478×fma-def_binary64
469×div-sub_binary64
373×sub-neg_binary64
364×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02772
16072
29872
314372
422172
535472
654972
780472
8120072
9168464
10257664
11435064
12627364
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 z y))))
(+.f64 x (/.f64 z (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 y)) (*.f64 x z))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) -5641895835477563/5000000000000000 (*.f64 x y))))
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))))
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 y (/.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))
(-.f64 y (/.f64 x (fma.f64 (exp.f64 z) -5641895835477563/5000000000000000 (*.f64 x y))))
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 z y))))
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 y z))))
(-.f64 z (/.f64 y (fma.f64 y z (*.f64 (exp.f64 x) -5641895835477563/5000000000000000))))
(+.f64 x (/.f64 z (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 y)) (*.f64 x z))))
(+.f64 x (/.f64 z (fma.f64 x (neg.f64 z) (*.f64 5641895835477563/5000000000000000 (exp.f64 y)))))
(-.f64 x (/.f64 z (fma.f64 x z (*.f64 (exp.f64 y) -5641895835477563/5000000000000000))))
(-.f64 x (/.f64 z (fma.f64 (exp.f64 y) -5641895835477563/5000000000000000 (*.f64 x z))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify112.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1229×fma-def_binary64
1055×div-sub_binary64
902×fma-neg_binary64
409×associate-/l*_binary64
380×associate-/r*_binary64
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
01118
12018
23518
35218
48118
512718
620518
729218
839618
954016
1073716
11120516
12229116
13455516
14584416
15668816
16685616
17688416
18725416
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) -5641895835477563/5000000000000000 (*.f64 x y))))
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))

eval1.0ms (0%)

Compiler

Compiled 26 to 16 computations (38.5% 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 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
▶3.8b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 29 to 20 computations (31% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)
✓0.1b
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
✓0.2b
(/.f64 -5641895835477563/5000000000000000 y)
Compiler

Compiled 40 to 22 computations (45% saved)

series15.0ms (0.2%)

Counts
3 → 72
Calls

21 calls:

TimeVariablePointExpression
2.0ms
z
@0
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
1.0ms
y
@inf
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
1.0ms
z
@inf
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
1.0ms
y
@0
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
1.0ms
z
@-inf
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))

rewrite89.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
951×pow1_binary64
876×add-log-exp_binary64
876×log1p-expm1-u_binary64
876×expm1-log1p-u_binary64
857×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
120327
2238327
Stop Event
1×node limit
Counts
3 → 62
Calls
Call 1
Inputs
(/.f64 -5641895835477563/5000000000000000 y)
(/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))
(fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -5641895835477563/5000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -5641895835477563/5000000000000000 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5641895835477563/5000000000000000 (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -5000000000000000/5641895835477563) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) (cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2) (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))))))

simplify88.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
920×fma-neg_binary64
871×times-frac_binary64
468×associate-/r*_binary64
442×associate-/l*_binary64
371×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01171582
13421550
211681521
372601518
Stop Event
1×node limit
Counts
134 → 100
Calls
Call 1
Inputs
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (*.f64 y (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
Outputs
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)) (neg.f64 (*.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)))) (*.f64 z z)))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (fma.f64 (neg.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))))) (*.f64 z z) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))
(fma.f64 (*.f64 z z) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (/.f64 -5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (*.f64 y (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)) (*.f64 -1 (+.f64 (*.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)))) (*.f64 y (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (+.f64 (/.f64 5641895835477563/30000000000000000 (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (/.f64 31830988618379068626528276418969/50000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))))) (pow.f64 z 3)) (*.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2)))) (*.f64 z z))))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (fma.f64 -1 (fma.f64 (+.f64 (/.f64 31830988618379068626528276418969/50000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (fma.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (*.f64 y (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (/.f64 5641895835477563/30000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))))) (pow.f64 z 3) (*.f64 (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (/.f64 5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (*.f64 z z))) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (*.f64 (*.f64 z z) (-.f64 (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (/.f64 -5641895835477563/10000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (*.f64 z (+.f64 (/.f64 (+.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (/.f64 31830988618379068626528276418969/50000000000000000000000000000000 (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (*.f64 y (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (+.f64 (/.f64 (/.f64 5641895835477563/30000000000000000 y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (/.f64 (/.f64 31830988618379068626528276418969/50000000000000000000000000000000 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)) (*.f64 y y))))))))
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(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (/.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 y 3)) (pow.f64 x 4)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (*.f64 (*.f64 y y) (pow.f64 x 3))))) (/.f64 1 x))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x))))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y (*.f64 x x))) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (/.f64 -1 x))
(fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) (/.f64 -1 x))
(fma.f64 (/.f64 (exp.f64 z) y) (/.f64 -5641895835477563/5000000000000000 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (/.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 y 3)) (pow.f64 x 4)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (*.f64 (*.f64 y y) (pow.f64 x 3))))) (/.f64 1 x))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x))))
(fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 -1 x))))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (/.f64 5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 5641895835477563/5000000000000000 y))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (/.f64 -5641895835477563/5000000000000000 y))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 (*.f64 z z) y) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (/.f64 5641895835477563/5000000000000000 y))
(+.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 z (/.f64 y z)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (/.f64 -5641895835477563/5000000000000000 y))
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x) (fma.f64 -5641895835477563/10000000000000000 (*.f64 (/.f64 z y) z) (/.f64 -5641895835477563/5000000000000000 y)))
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 (*.f64 z z) y) (fma.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x))) (/.f64 5641895835477563/5000000000000000 y))
(+.f64 (fma.f64 -5641895835477563/10000000000000000 (/.f64 z (/.f64 y z)) (fma.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x))) (/.f64 -5641895835477563/5000000000000000 y))
(+.f64 (fma.f64 -5641895835477563/10000000000000000 (*.f64 (/.f64 z y) z) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (fma.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y) (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 (fma.f64 -5641895835477563/10000000000000000 (*.f64 (/.f64 z y) z) (fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) x)) (fma.f64 (/.f64 -5641895835477563/30000000000000000 y) (pow.f64 z 3) (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))
(*.f64 (/.f64 -5641895835477563/5000000000000000 y) (exp.f64 z))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
x
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
✓1.0b
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))
✓5.3b
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
Compiler

Compiled 46 to 20 computations (56.5% saved)

series12.0ms (0.1%)

Counts
3 → 76
Calls

21 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
1.0ms
z
@0
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
1.0ms
z
@-inf
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
1.0ms
y
@0
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
1.0ms
y
@inf
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))

rewrite101.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
572×log-prod_binary64
389×fma-def_binary64
346×pow-prod-down_binary64
292×pow2_binary64
202×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
122233
2302533
Stop Event
1×node limit
Counts
3 → 231
Calls
Call 1
Inputs
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 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simplify129.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
871×times-frac_binary64
576×fma-neg_binary64
447×associate-/l*_binary64
424×fma-def_binary64
416×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01081668
13271633
211651589
371531583
Stop Event
1×node limit
Counts
307 → 278
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (*.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))))) (pow.f64 z 3))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(-.f64 5641895835477563/5000000000000000 (*.f64 y x))
(-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))
(-.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y x))
(-.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3))))) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3)))))
Outputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x))) (pow.f64 (exp.f64 z) 2)))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x)))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) x) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3)))) (pow.f64 (exp.f64 z) 3))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 x (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2))) (/.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (*.f64 x x)))))
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 x (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2))) (*.f64 (pow.f64 (/.f64 y (exp.f64 z)) 3) (*.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 x) x))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) x) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3)))) (pow.f64 (exp.f64 z) 3)))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (exp.f64 z) 4) (pow.f64 x 3))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 x (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2))) (/.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (*.f64 x x))))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (exp.f64 z) y) 4)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 x (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2))) (*.f64 (pow.f64 (/.f64 y (exp.f64 z)) 3) (*.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 x) x)))))
(/.f64 -1 x)
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (/.f64 (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y (*.f64 x x))) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 y x))) (/.f64 -1 x))
(fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (exp.f64 z) 2)) (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 1 x))
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 y x))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x)))
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(+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))
(fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(fma.f64 5641895835477563/10000000000000000 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)))
(fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000))
(fma.f64 z 5641895835477563/5000000000000000 (fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 5641895835477563/5000000000000000))
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3)))))
(fma.f64 5641895835477563/10000000000000000 (*.f64 z z) (+.f64 5641895835477563/5000000000000000 (fma.f64 5641895835477563/5000000000000000 z (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 5641895835477563/30000000000000000 (pow.f64 z 3) (*.f64 z 5641895835477563/5000000000000000)) (fma.f64 (*.f64 z z) 5641895835477563/10000000000000000 5641895835477563/5000000000000000))
(fma.f64 z (*.f64 z 5641895835477563/10000000000000000) (fma.f64 z 5641895835477563/5000000000000000 (fma.f64 5641895835477563/30000000000000000 (pow.f64 z 3) 5641895835477563/5000000000000000)))

eval165.0ms (1.8%)

Compiler

Compiled 8361 to 4135 computations (50.5% saved)

prune62.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3708378
Fresh000
Picked011
Done101
Total3719380
Error
0b
Counts
380 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
14.6b
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
▶24.2b
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))
▶22.8b
(+.f64 x (/.f64 -1 x))
▶14.6b
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
✓3.8b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
14.6b
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
25.4b
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
▶14.6b
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
▶14.6b
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
Compiler

Compiled 223 to 160 computations (28.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
✓0.0b
(-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))
✓0.3b
(*.f64 5641895835477563/5000000000000000 z)
✓4.9b
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))
Compiler

Compiled 51 to 29 computations (43.1% saved)

series12.0ms (0.1%)

Counts
4 → 66
Calls

24 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))
1.0ms
z
@inf
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))
1.0ms
y
@inf
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))
1.0ms
x
@inf
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))
1.0ms
y
@-inf
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))

rewrite107.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
599×log-prod_binary64
407×fma-def_binary64
379×pow-prod-down_binary64
314×pow2_binary64
216×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01040
123034
2338634
Stop Event
1×node limit
Counts
4 → 238
Calls
Call 1
Inputs
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))
(*.f64 5641895835477563/5000000000000000 z)
(-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 5641895835477563/5000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5641895835477563/5000000000000000 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5641895835477563/5000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 5641895835477563/5000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5641895835477563/5000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5641895835477563/5000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 5641895835477563/5000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 5641895835477563/5000000000000000 z)) 1))))))
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simplify76.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
761×associate-/r*_binary64
595×fma-def_binary64
590×associate-*r*_binary64
545×associate-*l*_binary64
382×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01401856
14651692
219021622
Stop Event
1×node limit
Counts
304 → 290
Calls
Call 1
Inputs
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3))))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 4)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3)))))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 3) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))
(+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 4))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3))))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 4)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3)))))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 4)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 4)))))) (/.f64 1 x))
(-.f64 5641895835477563/5000000000000000 (*.f64 y x))
(*.f64 5641895835477563/5000000000000000 z)
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))
5641895835477563/5000000000000000
(*.f64 5641895835477563/5000000000000000 z)
(*.f64 5641895835477563/5000000000000000 z)
Outputs
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) x)))
(+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (/.f64 (*.f64 y y) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2) x)))
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2)) x (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3))))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) x)) (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3))))
(+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2) x)) (/.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 3) (pow.f64 y 3)))))
(+.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2)) x (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) (/.f64 (*.f64 x x) (pow.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) 3)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 4)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3)))))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) x)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3)) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 4) (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2) x)) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 4) (pow.f64 x 3)))) (+.f64 (/.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 3) (pow.f64 y 3))) (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))
(+.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2)) x (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 4)) (pow.f64 x 3) (/.f64 (*.f64 x x) (pow.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) 3))))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (/.f64 1 x))
(-.f64 (neg.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) y)) (/.f64 1 x))
(fma.f64 -1 (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) y) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 (/.f64 5641895835477563/5000000000000000 x) x)) y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x)))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) y) (neg.f64 (*.f64 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y y)) (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) x)))) (/.f64 1 x))
(fma.f64 -1 (+.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) y) (*.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y y)) (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) x))) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (+.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 (/.f64 5641895835477563/5000000000000000 x) x)) y) (/.f64 (*.f64 (+.f64 z 1) (*.f64 (+.f64 z 1) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 x x)))) (*.f64 (*.f64 y y) x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 3) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x))))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) y) (fma.f64 -1 (*.f64 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (pow.f64 y 3)) (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) (*.f64 x x))) (neg.f64 (*.f64 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y y)) (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) x))))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) y) (fma.f64 -1 (fma.f64 (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2) (pow.f64 y 3)) (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y y)) (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 5641895835477563/5000000000000000 (*.f64 x x))) x))) (/.f64 -1 x)))
(-.f64 (fma.f64 -1 (*.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 (/.f64 5641895835477563/5000000000000000 x) x)) (+.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 (*.f64 y y) x)) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2) (*.f64 x (*.f64 x (pow.f64 y 3)))))) (/.f64 -1 x)) (/.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 x x)) (/.f64 (/.f64 5641895835477563/5000000000000000 x) x)) y))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (neg.f64 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (*.f64 x x)))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y (*.f64 x x))) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))))) (/.f64 1 x))
(fma.f64 -1 (+.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2) (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (+.f64 (/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2) (*.f64 (*.f64 y y) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x))
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(-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))
5641895835477563/5000000000000000
(*.f64 5641895835477563/5000000000000000 z)
(*.f64 5641895835477563/5000000000000000 z)

localize6.0ms (0.1%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
✓0.0b
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
✓0.2b
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
0.2b
(/.f64 -5641895835477563/5000000000000000 y)
Compiler

Compiled 31 to 21 computations (32.3% saved)

series12.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
x
@0
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
1.0ms
y
@inf
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
1.0ms
x
@0
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
1.0ms
x
@inf
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
1.0ms
x
@0
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))

rewrite311.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
463×log-prod_binary64
361×exp-prod_binary64
356×fma-def_binary64
293×pow-prod-down_binary64
277×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
120730
2296630
Stop Event
1×node limit
Counts
3 → 154
Calls
Call 1
Inputs
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
Outputs
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x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 (*.f64 x x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 y -2)))) (-.f64 x (/.f64 -5641895835477563/5000000000000000 y)) x)))))

simplify122.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
666×distribute-neg-frac_binary64
450×sub-neg_binary64
414×unswap-sqr_binary64
315×*-commutative_binary64
307×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0711207
12041173
26201166
325021164
472121164
Stop Event
1×node limit
Counts
226 → 190
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -5641895835477563/5000000000000000 y)
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(/.f64 -5641895835477563/5000000000000000 y)
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
x
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x)))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
Outputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 5000000000000000/5641895835477563 y))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))))))
(fma.f64 (*.f64 x x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 (*.f64 x x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x)) (+.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x)) (+.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 5000000000000000/5641895835477563 y))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))
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(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))))
(-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 x) x) y)) (/.f64 1 x))
(+.f64 x (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 x) (*.f64 y x))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 x (+.f64 (/.f64 1 x) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))))
(-.f64 (-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 x) x) y)) (/.f64 1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (+.f64 x (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 x) (*.f64 y x)))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))))
(fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) x))
(fma.f64 (*.f64 y y) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (fma.f64 5000000000000000/5641895835477563 y x))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x)))
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))))))
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (fma.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969) 1) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))))))
(-.f64 x (/.f64 1 x))
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(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))))
(-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 x) x) y)) (/.f64 1 x))
(+.f64 x (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 x) (*.f64 y x))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 x (+.f64 (/.f64 1 x) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))))
(-.f64 (-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 x) x) y)) (/.f64 1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (+.f64 x (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 x) (*.f64 y x)))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (-.f64 x (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (-.f64 x (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (-.f64 x (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))))
(-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 x) x) y)) (/.f64 1 x))
(+.f64 x (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 x) (*.f64 y x))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 x (+.f64 (/.f64 1 x) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))))
(-.f64 (-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 x) x) y)) (/.f64 1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))
(+.f64 (+.f64 x (-.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 1 x))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 x) (*.f64 y x)))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (-.f64 x (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y x)) x) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (-.f64 x (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (-.f64 x (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
✓0.0b
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
✓0.2b
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
✓0.3b
(*.f64 5641895835477563/5000000000000000 (/.f64 1 y))
Compiler

Compiled 43 to 32 computations (25.6% saved)

series6.0ms (0.1%)

Counts
4 → 66
Calls

21 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 5641895835477563/5000000000000000 (/.f64 1 y))
0.0ms
y
@inf
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
0.0ms
y
@inf
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
0.0ms
y
@-inf
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
0.0ms
y
@-inf
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))

rewrite115.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
535×log-prod_binary64
366×fma-def_binary64
324×pow-prod-down_binary64
309×pow2_binary64
212×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01134
124534
2331034
Stop Event
1×node limit
Counts
4 → 213
Calls
Call 1
Inputs
(*.f64 5641895835477563/5000000000000000 (/.f64 1 y))
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
Outputs
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egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) -2)) (/.f64 -1 (cbrt.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1/2) (pow.f64 (neg.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y -3) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000))) (fma.f64 (/.f64 5641895835477563/5000000000000000 y) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 (*.f64 x x) (*.f64 (pow.f64 y -2) 31830988618379068626528276418969/25000000000000000000000000000000))) (+.f64 (/.f64 5641895835477563/5000000000000000 y) x) x)))))

simplify139.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
670×distribute-neg-frac_binary64
443×sub-neg_binary64
414×unswap-sqr_binary64
320×*-commutative_binary64
302×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0691129
11961095
26071088
324861086
471911086
Stop Event
1×node limit
Counts
279 → 248
Calls
Call 1
Inputs
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -5641895835477563/5000000000000000 y)
x
x
(/.f64 -5641895835477563/5000000000000000 y)
x
x
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x)))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
Outputs
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(/.f64 5641895835477563/5000000000000000 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 y 5000000000000000/5641895835477563)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 y 5000000000000000/5641895835477563))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 y 5000000000000000/5641895835477563))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 y 5000000000000000/5641895835477563)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 y 5000000000000000/5641895835477563)))
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(+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (-.f64 (/.f64 1 x) (/.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 y) y) (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(-.f64 x (+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -5641895835477563/5000000000000000 y) (*.f64 x x))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (-.f64 x (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 x (+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (-.f64 (/.f64 1 x) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))) (/.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 4))))
(+.f64 x (+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (-.f64 (/.f64 1 x) (/.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 y) y) (pow.f64 x 3)))) (/.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 4))))

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)
Compiler

Compiled 27 to 14 computations (48.1% saved)

series5.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)
1.0ms
z
@inf
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)
1.0ms
z
@0
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)
1.0ms
y
@0
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)
1.0ms
y
@inf
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)

rewrite211.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
685×pow1_binary64
636×add-log-exp_binary64
636×log1p-expm1-u_binary64
636×expm1-log1p-u_binary64
623×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11449
217409
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 5000000000000000/5641895835477563 (/.f64 (exp.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (exp.f64 z) 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 z) (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 5000000000000000/5641895835477563 y)) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) 1) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -5000000000000000/5641895835477563 y) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -5000000000000000/5641895835477563) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)) z))))))

simplify62.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
899×unsub-neg_binary64
554×associate-+r+_binary64
267×fma-def_binary64
257×distribute-rgt-neg-in_binary64
247×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036266
1109261
2381245
31995242
45128242
Stop Event
1×node limit
Counts
47 → 31
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
Outputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y))
(*.f64 y (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 z z) (*.f64 y -1/2)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 (*.f64 y -1/2) z) z) (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (*.f64 y (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(*.f64 y (+.f64 (*.f64 -5000000000000000/5641895835477563 z) (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563))))
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 z z) (*.f64 y -1/2)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 y z) (*.f64 (fma.f64 -1/2 y (fma.f64 -1 (*.f64 y -1/2) (*.f64 y 1/6))) (pow.f64 z 3))))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 (*.f64 y -1/2) z) z) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y -1/2 (fma.f64 y 1/6 (*.f64 y 1/2))) (pow.f64 z 3))))))
(fma.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y 1/6 0) (pow.f64 z 3))) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563))))
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (+.f64 (*.f64 1/6 (pow.f64 z 3)) z)) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))

eval681.0ms (7.2%)

Compiler

Compiled 14360 to 9350 computations (34.9% saved)

prune351.0ms (3.7%)

Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New76811779
Fresh303
Picked011
Done145
Total77216788
Error
0b
Counts
788 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
▶14.6b
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
15.0b
(+.f64 x (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x))))
✓14.6b
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
26.9b
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
35.6b
(+.f64 x (*.f64 y (+.f64 (*.f64 -5000000000000000/5641895835477563 z) (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563)))))
▶26.9b
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
▶32.5b
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))))
▶32.5b
(+.f64 x (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
23.6b
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
✓24.2b
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))
32.9b
(+.f64 (/.f64 -1 x) (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 x) (*.f64 y x))))
✓22.8b
(+.f64 x (/.f64 -1 x))
✓3.8b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
▶39.2b
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y))
39.2b
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
✓14.6b
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
Compiler

Compiled 354 to 254 computations (28.2% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
✓0.0b
(-.f64 5641895835477563/5000000000000000 (*.f64 y x))
✓4.9b
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
Compiler

Compiled 30 to 14 computations (53.3% saved)

series8.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
1.0ms
y
@0
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
0.0ms
y
@inf
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
0.0ms
x
@inf
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
0.0ms
x
@-inf
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))

rewrite89.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
847×prod-diff_binary64
487×log-prod_binary64
305×pow-prod-down_binary64
268×fma-def_binary64
259×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
118930
2280830
Stop Event
1×node limit
Counts
3 → 152
Calls
Call 1
Inputs
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
(-.f64 5641895835477563/5000000000000000 (*.f64 y x))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
Outputs
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simplify150.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
466×sub-neg_binary64
414×unswap-sqr_binary64
335×*-commutative_binary64
289×fma-def_binary64
288×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0701257
12071197
26391180
325521178
473841178
Stop Event
1×node limit
Counts
224 → 190
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x)))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 x (/.f64 1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
Outputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 5000000000000000/5641895835477563 y))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))))))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969)) (*.f64 (pow.f64 y 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 x)))))
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3)))))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969)) (*.f64 (pow.f64 y 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 x))))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (*.f64 5000000000000000/5641895835477563 y))
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))))))
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969)) (*.f64 (pow.f64 y 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 x)))))
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))))
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3)))))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969)) (*.f64 (pow.f64 y 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 x))))))
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 x (pow.f64 y 3))) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x))
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
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(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (pow.f64 y 3))))))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))))
(+.f64 (+.f64 x (/.f64 -1 x)) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))
(+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(+.f64 x (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) x))
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)) (-.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) x)))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (-.f64 (+.f64 (+.f64 x (/.f64 -1 x)) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 x (+.f64 (+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))))
(+.f64 (+.f64 x (/.f64 -1 x)) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))
(+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))))
(+.f64 x (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) x))
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)) (-.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) x)))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))))
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))))
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(-.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (-.f64 (+.f64 (+.f64 x (/.f64 -1 x)) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))
(+.f64 x (+.f64 (+.f64 (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 1 x)) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
✓0.4b
(*.f64 5000000000000000/5641895835477563 y)
Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts
2 → 6
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@0
(*.f64 5000000000000000/5641895835477563 y)
0.0ms
y
@-inf
(*.f64 5000000000000000/5641895835477563 y)
0.0ms
y
@inf
(*.f64 5000000000000000/5641895835477563 y)
0.0ms
y
@inf
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
0.0ms
x
@0
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)

rewrite88.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
687×pow1_binary64
642×add-log-exp_binary64
642×log1p-expm1-u_binary64
642×expm1-log1p-u_binary64
629×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11319
217329
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 5000000000000000/5641895835477563 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5000000000000000/5641895835477563 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 5000000000000000/5641895835477563 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (-.f64 (*.f64 5000000000000000/5641895835477563 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 5000000000000000/5641895835477563 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 5000000000000000/5641895835477563 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 5000000000000000/5641895835477563 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2) (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x (-.f64 x (*.f64 5000000000000000/5641895835477563 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x (-.f64 x (*.f64 5000000000000000/5641895835477563 y)))) (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x) (-.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x (-.f64 x (*.f64 5000000000000000/5641895835477563 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 5000000000000000/5641895835477563 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x x)) (-.f64 (*.f64 5000000000000000/5641895835477563 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x (-.f64 x (*.f64 5000000000000000/5641895835477563 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 5000000000000000/5641895835477563 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 2)) (-.f64 x (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5000000000000000/5641895835477563 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 5000000000000000/5641895835477563 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 5000000000000000/5641895835477563 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2) (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) x)))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
1615
Stop Event
1×saturated
Counts
52 → 48
Calls
Call 1
Inputs
x
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
x
x
Outputs
x
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
x
x

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y))
✓0.2b
(*.f64 (/.f64 5000000000000000/5641895835477563 z) y)
✓0.4b
(/.f64 5000000000000000/5641895835477563 z)
Compiler

Compiled 22 to 13 computations (40.9% saved)

series9.0ms (0.1%)

Counts
3 → 60
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(*.f64 (/.f64 5000000000000000/5641895835477563 z) y)
1.0ms
y
@0
(*.f64 (/.f64 5000000000000000/5641895835477563 z) y)
1.0ms
z
@inf
(*.f64 (/.f64 5000000000000000/5641895835477563 z) y)
1.0ms
z
@0
(*.f64 (/.f64 5000000000000000/5641895835477563 z) y)
1.0ms
z
@0
(/.f64 5000000000000000/5641895835477563 z)

rewrite80.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
965×pow1_binary64
901×add-log-exp_binary64
901×log1p-expm1-u_binary64
901×expm1-log1p-u_binary64
93×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0821
117819
2242019
Stop Event
1×node limit
Counts
3 → 79
Calls
Call 1
Inputs
(/.f64 5000000000000000/5641895835477563 z)
(*.f64 (/.f64 5000000000000000/5641895835477563 z) y)
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 5000000000000000/5641895835477563 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 (pow.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 5000000000000000/5641895835477563 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 5000000000000000/5641895835477563 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 5000000000000000/5641895835477563 z)) (pow.f64 (cbrt.f64 (/.f64 5000000000000000/5641895835477563 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 5000000000000000/5641895835477563 z)) 2) (cbrt.f64 (/.f64 5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 5000000000000000/5641895835477563 z)) (sqrt.f64 (/.f64 5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -5000000000000000/5641895835477563 (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1) 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 5000000000000000/5641895835477563 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 5000000000000000/5641895835477563 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 5000000000000000/5641895835477563 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 5000000000000000/5641895835477563 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 5641895835477563/5000000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 5000000000000000/5641895835477563 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 5000000000000000/5641895835477563 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 5000000000000000/5641895835477563 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 5000000000000000/5641895835477563 (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 z 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 5000000000000000/5641895835477563 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 5000000000000000/5641895835477563 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 5000000000000000/5641895835477563 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -5000000000000000/5641895835477563 y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -5000000000000000/5641895835477563) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) (/.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 2) (-.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)) 2) (cbrt.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)) (sqrt.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (-.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 2)) (/.f64 1 (-.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (-.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 3)) (fma.f64 x x (*.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (-.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 3)) (+.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 2)) (-.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (-.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 2))) (neg.f64 (-.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) 2) (*.f64 x x)) (-.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) 2) (cbrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) (sqrt.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))))

simplify21.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
3×*-commutative_binary64
2×associate-/l*_binary64
1×+-commutative_binary64
1×associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08417
113417
218417
322417
424417
525417
Stop Event
1×saturated
Counts
139 → 82
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
Outputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)
(fma.f64 (/.f64 5000000000000000/5641895835477563 z) y x)
(fma.f64 y (/.f64 5000000000000000/5641895835477563 z) x)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
✓0.3b
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))
✓0.4b
(*.f64 -5000000000000000/5641895835477563 z)
Compiler

Compiled 32 to 22 computations (31.3% saved)

series5.0ms (0.1%)

Counts
3 → 27
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@0
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))
1.0ms
y
@inf
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))
1.0ms
y
@-inf
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))
1.0ms
z
@inf
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))
0.0ms
z
@-inf
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))

rewrite84.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
895×pow1_binary64
837×add-log-exp_binary64
837×log1p-expm1-u_binary64
837×expm1-log1p-u_binary64
822×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0821
117617
2226817
Stop Event
1×node limit
Counts
3 → 67
Calls
Call 1
Inputs
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -5000000000000000/5641895835477563 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -5000000000000000/5641895835477563 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -5000000000000000/5641895835477563 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -5000000000000000/5641895835477563 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -5000000000000000/5641895835477563) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -5000000000000000/5641895835477563 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 5000000000000000/5641895835477563) 1) (*.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3) (pow.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)) 3)) (+.f64 (*.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 y 5000000000000000/5641895835477563)) (-.f64 (*.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)) (*.f64 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5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (-.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))) (/.f64 (pow.f64 (*.f64 -5000000000000000/5641895835477563 z) 2) (-.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)) (pow.f64 (cbrt.f64 (fma.f64 -5000000000000000/5641895835477563 z 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25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (*.f64 -5000000000000000/5641895835477563 z) 2)) (-.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 z 3)))) (neg.f64 (+.f64 25000000000000000000000000000000/31830988618379068626528276418969 (-.f64 (pow.f64 (*.f64 -5000000000000000/5641895835477563 z) 2) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 (*.f64 -5000000000000000/5641895835477563 z) 2))) (neg.f64 (-.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -5000000000000000/5641895835477563 z) 2) 25000000000000000000000000000000/31830988618379068626528276418969) (-.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -5000000000000000/5641895835477563 z)) 2) (cbrt.f64 (*.f64 -5000000000000000/5641895835477563 z)) 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 z)) (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 z)) 5000000000000000/5641895835477563)))))

simplify16.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
10×fma-def_binary64
7×*-commutative_binary64
2×+-commutative_binary64
2×associate-*r*_binary64
2×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012237
122195
237195
340195
Stop Event
1×saturated
Counts
94 → 75
Calls
Call 1
Inputs
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
5000000000000000/5641895835477563
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)
Outputs
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 (*.f64 -5000000000000000/5641895835477563 y) z)
(*.f64 z (*.f64 -5000000000000000/5641895835477563 y))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 (*.f64 -5000000000000000/5641895835477563 y) z)
(*.f64 z (*.f64 -5000000000000000/5641895835477563 y))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
5000000000000000/5641895835477563
(*.f64 -5000000000000000/5641895835477563 z)
(*.f64 -5000000000000000/5641895835477563 z)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
✓0.3b
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
0.4b
(*.f64 5000000000000000/5641895835477563 y)
Compiler

Compiled 39 to 21 computations (46.2% saved)

series5.0ms (0.1%)

Counts
2 → 15
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
1.0ms
y
@0
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
0.0ms
y
@-inf
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
0.0ms
y
@inf
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
0.0ms
z
@inf
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))

rewrite79.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
979×pow1_binary64
912×add-log-exp_binary64
912×log1p-expm1-u_binary64
912×expm1-log1p-u_binary64
98×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119318
2249718
Stop Event
1×node limit
Counts
2 → 51
Calls
Call 1
Inputs
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -5000000000000000/5641895835477563) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))) (/.f64 (pow.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 2) (-.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563))) (pow.f64 (cbrt.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563))) 2) (cbrt.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563))) (sqrt.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (*.f64 (pow.f64 (*.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (/.f64 1 (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) (-.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) (*.f64 y 5000000000000000/5641895835477563))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (pow.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 2)) (/.f64 1 (-.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) (-.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) (*.f64 y 5000000000000000/5641895835477563)))) (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (*.f64 (pow.f64 (*.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 z (*.f64 -5000000000000000/5641895835477563 y))) (-.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (pow.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (*.f64 (pow.f64 (*.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) (-.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) (*.f64 y 5000000000000000/5641895835477563)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (*.f64 (pow.f64 (*.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (+.f64 (pow.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 2) (-.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 y (*.f64 5000000000000000/5641895835477563 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (pow.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 2)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 z (*.f64 -5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) (*.f64 (pow.f64 (*.f64 y z) 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))) (neg.f64 (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) (-.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) (*.f64 y 5000000000000000/5641895835477563))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (pow.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 2))) (neg.f64 (-.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 2) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (-.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 5000000000000000/5641895835477563 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) -5000000000000000/5641895835477563 (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5000000000000000/5641895835477563 y (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y))) 2) (cbrt.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y))) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y))) (sqrt.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y))) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5000000000000000/5641895835477563 y) z (*.f64 y 5000000000000000/5641895835477563))))))

simplify48.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
432×fma-def_binary64
366×fma-neg_binary64
108×associate-*l*_binary64
81×associate-*r*_binary64
79×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016138
133114
270114
3140114
4241114
5538114
61150114
71564114
81705114
91723114
Stop Event
1×saturated
Counts
66 → 57
Calls
Call 1
Inputs
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
Outputs
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y)
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y)
(*.f64 y (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563))
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 z y))
(*.f64 (*.f64 -5000000000000000/5641895835477563 z) y)
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 z y))
(*.f64 (*.f64 -5000000000000000/5641895835477563 z) y)

eval236.0ms (2.5%)

Compiler

Compiled 6724 to 4149 computations (38.3% saved)

prune305.0ms (3.2%)

Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New4594463
Fresh246
Picked101
Done189
Total46316479
Error
0b
Counts
479 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
✓22.8b
(+.f64 x (/.f64 -1 x))
23.3b
x
✓14.6b
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
▶15.0b
(+.f64 x (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x))))
✓14.6b
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
▶26.9b
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
35.6b
(+.f64 x (*.f64 y (+.f64 (*.f64 -5000000000000000/5641895835477563 z) (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563)))))
▶38.6b
(+.f64 x (*.f64 (*.f64 -5000000000000000/5641895835477563 z) y))
✓32.5b
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))))
▶26.9b
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
✓39.2b
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y))
▶53.1b
(*.f64 5000000000000000/5641895835477563 y)
✓3.8b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
23.6b
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
✓24.2b
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))
✓14.6b
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
Compiler

Compiled 276 to 201 computations (27.2% saved)

localize60.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))
✓0.3b
(*.f64 -5641895835477563/5000000000000000 z)
✓4.9b
(/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x)))
✓14.0b
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))
Compiler

Compiled 105 to 69 computations (34.3% saved)

series14.0ms (0.1%)

Counts
4 → 60
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@0
(/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x)))
2.0ms
y
@inf
(/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x)))
1.0ms
x
@inf
(/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x)))
1.0ms
y
@-inf
(/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x)))
1.0ms
x
@0
(/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x)))

rewrite119.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
535×fma-def_binary64
368×fma-neg_binary64
323×expm1-udef_binary64
323×log1p-udef_binary64
259×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01658
137134
2542834
Stop Event
1×node limit
Counts
4 → 112
Calls
Call 1
Inputs
(/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))
(/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x)))
(*.f64 -5641895835477563/5000000000000000 z)
(*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))
Outputs
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simplify107.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
869×associate-/r*_binary64
610×associate-*r*_binary64
610×fma-def_binary64
568×associate-*l*_binary64
331×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01472895
14742620
218682298
Stop Event
1×node limit
Counts
172 → 154
Calls
Call 1
Inputs
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))
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(/.f64 -1 x)
(-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2))))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2)))) (/.f64 1 x)))
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(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) (/.f64 1 x))
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))
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(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
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(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))))
(/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))
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(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 3)) (/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))))
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 4)) (/.f64 y (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))))))))
(/.f64 -1 x)
(-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2))))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))) (*.f64 y (pow.f64 x 3))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2)))))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2))))) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))) (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2))))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 2) (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))) (*.f64 (pow.f64 y 2) (pow.f64 x 4))))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2))))) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2))))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2)))) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))) (*.f64 y (pow.f64 x 3))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2)))))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2))))) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))) (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2))))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) 2) (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))))))) (*.f64 (pow.f64 y 2) (pow.f64 x 4))))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 y (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z)) (pow.f64 x 2))))) (/.f64 1 x)))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
Outputs
5641895835477563/5000000000000000
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)
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(+.f64 (*.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) y) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 y) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))) (+.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))) 2) (*.f64 y (*.f64 (pow.f64 x 4) y))) (/.f64 (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000))) (*.f64 y (pow.f64 x 3))))) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (fma.f64 (/.f64 z y) (/.f64 z (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)) (/.f64 -1 (*.f64 y (fma.f64 z -5641895835477563/5000000000000000 5641895835477563/5000000000000000)))) (*.f64 x x)) (/.f64 -1 x)))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 z 2))
(*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z z))
(*.f64 z (*.f64 z 31830988618379068626528276418969/25000000000000000000000000000000))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(*.f64 5000000000000000/5641895835477563 y)
Compiler

Compiled 8 to 6 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
✓0.3b
(/.f64 y 5641895835477563/5000000000000000)
Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/.f64 y 5641895835477563/5000000000000000)
0.0ms
x
@inf
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
0.0ms
x
@-inf
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
0.0ms
y
@-inf
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
0.0ms
y
@-inf
(/.f64 y 5641895835477563/5000000000000000)

rewrite88.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
743×pow1_binary64
701×add-log-exp_binary64
701×log1p-expm1-u_binary64
701×expm1-log1p-u_binary64
688×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
11389
218899
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(/.f64 y 5641895835477563/5000000000000000)
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) -5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 5641895835477563/5000000000000000 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y -5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 5000000000000000/5641895835477563))) (/.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (-.f64 x (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2) (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (/.f64 1 (-.f64 x (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y 5000000000000000/5641895835477563)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 5000000000000000/5641895835477563) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2)) (-.f64 x (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))) (neg.f64 (-.f64 x (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (*.f64 x x)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 5000000000000000/5641895835477563 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))))

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06153
19153
210153
Stop Event
1×saturated
Counts
93 → 60
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
Outputs
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)

localize154.0ms (1.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 -5000000000000000/5641895835477563 z) y)
0.4b
(*.f64 -5000000000000000/5641895835477563 z)
Compiler

Compiled 22 to 13 computations (40.9% saved)

series8.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
7.0ms
z
@-inf
(*.f64 (*.f64 -5000000000000000/5641895835477563 z) y)
0.0ms
z
@0
(*.f64 (*.f64 -5000000000000000/5641895835477563 z) y)
0.0ms
y
@0
(*.f64 (*.f64 -5000000000000000/5641895835477563 z) y)
0.0ms
y
@inf
(*.f64 (*.f64 -5000000000000000/5641895835477563 z) y)
0.0ms
z
@inf
(*.f64 (*.f64 -5000000000000000/5641895835477563 z) y)

rewrite67.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
557×pow1_binary64
515×add-log-exp_binary64
515×log1p-expm1-u_binary64
515×expm1-log1p-u_binary64
504×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11217
214017
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (*.f64 -5000000000000000/5641895835477563 z) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 -5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 z y))))))))

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
110168
217168
319168
Stop Event
1×saturated
Counts
35 → 12
Calls
Call 1
Inputs
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
Outputs
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
0.2b
(/.f64 -5641895835477563/5000000000000000 y)
✓0.3b
(/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))
Compiler

Compiled 22 to 16 computations (27.3% saved)

series2.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))
0.0ms
x
@-inf
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
0.0ms
y
@-inf
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
0.0ms
y
@-inf
(/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))
0.0ms
y
@inf
(/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))

rewrite92.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
920×pow1_binary64
862×add-log-exp_binary64
862×log1p-expm1-u_binary64
862×expm1-log1p-u_binary64
845×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
11819
224379
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 y -5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -5000000000000000/5641895835477563) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -5000000000000000/5641895835477563 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5000000000000000/5641895835477563 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5000000000000000/5641895835477563 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 5641895835477563/5000000000000000 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y -5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 5000000000000000/5641895835477563 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (+.f64 x (*.f64 y -5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 5000000000000000/5641895835477563 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 5000000000000000/5641895835477563 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2) (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (/.f64 1 (+.f64 x (*.f64 y -5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))) (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y -5000000000000000/5641895835477563)) (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x 5000000000000000/5641895835477563) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (+.f64 x (*.f64 y -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))) (neg.f64 (+.f64 x (*.f64 y -5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 5000000000000000/5641895835477563 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 5000000000000000/5641895835477563 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 y -5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5000000000000000/5641895835477563 y x)))))

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06153
19153
210153
Stop Event
1×saturated
Counts
96 → 62
Calls
Call 1
Inputs
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
Outputs
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
x
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(fma.f64 5000000000000000/5641895835477563 y x)

eval227.0ms (2.4%)

Compiler

Compiled 6374 to 4286 computations (32.8% saved)

prune63.0ms (0.7%)

Pruning

16 alts after pruning (3 fresh and 13 done)

PrunedKeptTotal
New3291330
Fresh123
Picked011
Done01212
Total33016346
Error
0b
Counts
346 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
✓14.6b
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
✓15.0b
(+.f64 x (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x))))
✓14.6b
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
✓26.9b
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
35.6b
(+.f64 x (*.f64 y (+.f64 (*.f64 -5000000000000000/5641895835477563 z) (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563)))))
✓38.6b
(+.f64 x (*.f64 (*.f64 -5000000000000000/5641895835477563 z) y))
✓32.5b
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))))
✓26.9b
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
✓39.2b
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y))
✓24.2b
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))
23.3b
x
✓53.1b
(*.f64 5000000000000000/5641895835477563 y)
✓22.8b
(+.f64 x (/.f64 -1 x))
✓3.8b
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
23.6b
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
✓14.6b
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
Compiler

Compiled 188 to 136 computations (27.7% saved)

regimes79.0ms (0.8%)

Counts
26 → 1
Calls
Call 1
Inputs
x
x
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 x (/.f64 -1 x))
(+.f64 x (*.f64 (*.f64 -5000000000000000/5641895835477563 z) y))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 x (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 (/.f64 -1 x) (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 x) (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 (*.f64 -5000000000000000/5641895835477563 z) (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563)))))
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 x (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x))))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
Outputs
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
Calls

7 calls:

15.0ms
x
15.0ms
y
14.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
14.0ms
z
5.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
0.1b1(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.1b1(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.1b1(exp.f64 z)
Compiler

Compiled 282 to 178 computations (36.9% saved)

regimes143.0ms (1.5%)

Counts
25 → 3
Calls
Call 1
Inputs
x
x
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 x (/.f64 -1 x))
(+.f64 x (*.f64 (*.f64 -5000000000000000/5641895835477563 z) y))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 x (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 (/.f64 -1 x) (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 x) (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 (*.f64 -5000000000000000/5641895835477563 z) (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563)))))
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 x (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x))))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
x
Calls

6 calls:

46.0ms
z
38.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
25.0ms
x
13.0ms
y
8.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
2.8b2x
3.8b1y
0.1b3z
0.1b3(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
0.1b3(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
0.1b3(exp.f64 z)
Compiler

Compiled 264 to 166 computations (37.1% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
13.241422773571545
8.831580639047062e+36
0.0ms
0.0
1.3465383280362251e-24
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes630.0ms (6.7%)

Counts
24 → 3
Calls
Call 1
Inputs
x
x
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 x (/.f64 -1 x))
(+.f64 x (*.f64 (*.f64 -5000000000000000/5641895835477563 z) y))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 x (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 (/.f64 -1 x) (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 x) (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 (*.f64 -5000000000000000/5641895835477563 z) (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563)))))
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 x (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x))))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))
Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))
Calls

4 calls:

395.0ms
x
135.0ms
y
47.0ms
z
6.0ms
(exp.f64 z)
Results
ErrorSegmentsBranch
9.7b5x
13.2b3y
0.3b3z
0.3b3(exp.f64 z)
Compiler

Compiled 230 to 144 computations (37.4% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0
13.241422773571545
0.0ms
0.0
1.3465383280362251e-24
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes296.0ms (3.1%)

Counts
23 → 3
Calls
Call 1
Inputs
x
x
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 x (/.f64 -1 x))
(+.f64 x (*.f64 (*.f64 -5000000000000000/5641895835477563 z) y))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
(+.f64 x (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))))
(+.f64 x (/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 (/.f64 -1 x) (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 x) (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 (*.f64 -5000000000000000/5641895835477563 z) (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563)))))
(+.f64 x (/.f64 -1 (-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))
(+.f64 x (/.f64 y (-.f64 (/.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z))) (+.f64 5641895835477563/5000000000000000 (*.f64 -5641895835477563/5000000000000000 z))) (*.f64 y x))))
Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))
x
Calls

3 calls:

162.0ms
x
70.0ms
y
52.0ms
z
Results
ErrorSegmentsBranch
12.0b4x
13.2b3y
0.5b3z
Compiler

Compiled 217 to 135 computations (37.8% saved)

bsearch56.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
2.583350004974967
85.07139735420112
28.0ms
-12594826812897352000.0
-11361545150543174000.0
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes83.0ms (0.9%)

Counts
15 → 3
Calls
Call 1
Inputs
x
x
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 x (/.f64 -1 x))
(+.f64 x (*.f64 (*.f64 -5000000000000000/5641895835477563 z) y))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))))
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))
x
Calls

3 calls:

28.0ms
z
25.0ms
x
24.0ms
y
Results
ErrorSegmentsBranch
13.2b3x
13.2b3y
0.5b3z
Compiler

Compiled 107 to 65 computations (39.3% saved)

bsearch50.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
2.583350004974967
85.07139735420112
24.0ms
-12594826812897352000.0
-11361545150543174000.0
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes202.0ms (2.1%)

Counts
11 → 3
Calls
Call 1
Inputs
x
x
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
(+.f64 x (/.f64 -1 x))
(+.f64 x (*.f64 (*.f64 -5000000000000000/5641895835477563 z) y))
(+.f64 x (/.f64 -1 (/.f64 -5641895835477563/5000000000000000 y)))
(+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 z) y))
(+.f64 x (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
Outputs
(+.f64 x (/.f64 -1 x))
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
x
Calls

3 calls:

87.0ms
y
77.0ms
x
33.0ms
z
Results
ErrorSegmentsBranch
15.5b6x
16.0b6y
7.3b3z
Compiler

Compiled 71 to 44 computations (38% saved)

bsearch83.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
39.0ms
4.359648435613651e-84
2.9931982737297636e-83
44.0ms
-4.1379343507615794e-20
-6.92427813351356e-42
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes71.0ms (0.7%)

Counts
5 → 2
Calls
Call 1
Inputs
x
x
(*.f64 5000000000000000/5641895835477563 y)
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x)
Outputs
(+.f64 x (/.f64 y 5641895835477563/5000000000000000))
x
Calls

3 calls:

27.0ms
y
22.0ms
x
19.0ms
z
Results
ErrorSegmentsBranch
19.5b3x
20.6b3y
18.1b2z
Compiler

Compiled 30 to 20 computations (33.3% saved)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
23.0ms
4.359648435613651e-84
2.9931982737297636e-83
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes36.0ms (0.4%)

Counts
3 → 3
Calls
Call 1
Inputs
x
x
(*.f64 5000000000000000/5641895835477563 y)
Outputs
x
(*.f64 5000000000000000/5641895835477563 y)
x
Calls

3 calls:

21.0ms
z
10.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
20.5b3x
23.3b1y
21.9b3z
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch49.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
1.7647163224515423e-186
1.9435517352483824e-177
23.0ms
-3.019556662705295e-283
-1.7366389253800262e-283
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes12.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
x
Outputs
x
Calls

3 calls:

3.0ms
z
3.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
23.3b1x
23.3b1y
23.3b1z
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
13×+-commutative_binary64
7×*-commutative_binary64
5×sub-neg_binary64
4×cancel-sign-sub-inv_binary64
3×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064232
187232
299232
3105232
4108232
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 20) (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) x))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2) (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))))
(if (<=.f64 z -12594826812897351680) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 5817187059886415/2251799813685248) (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x))
(if (<=.f64 z -12594826812897351680) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 5817187059886415/2251799813685248) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x))
(if (<=.f64 z -14080660950406070272/340282366920938463463374607431768211456) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 4767822100297541/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))
(if (<=.f64 z 4767822100297541/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x)
(if (<=.f64 x -12638597476466266/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) x (if (<=.f64 x 34580557360409848/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (*.f64 5000000000000000/5641895835477563 y) x))
x
Outputs
(+.f64 x (/.f64 -1 (fma.f64 (exp.f64 z) (/.f64 -5641895835477563/5000000000000000 y) x)))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 20) (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) x))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 20) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 x y)))) x))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2) (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))))
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2) (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) (+.f64 x (*.f64 y (/.f64 5000000000000000/5641895835477563 (exp.f64 z))))))
(if (<=.f64 z -12594826812897351680) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 5817187059886415/2251799813685248) (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) x))
(if (<=.f64 z -12594826812897351680) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 5817187059886415/2251799813685248) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x))
(if (<=.f64 z -12594826812897351680) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 5817187059886415/2251799813685248) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 x y)))) x))
(if (<=.f64 z -14080660950406070272/340282366920938463463374607431768211456) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 4767822100297541/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))
(if (<=.f64 z -214853835302827/5192296858534827628530496329220096) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 4767822100297541/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))
(if (<=.f64 z 4767822100297541/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x)
(if (<=.f64 x -12638597476466266/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) x (if (<=.f64 x 34580557360409848/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (*.f64 5000000000000000/5641895835477563 y) x))
(if (<=.f64 x -6319298738233133/20927902484106783612273926739453160362527437728623703270385749772858418967283908642445280836244059729054583455420959898929436431361178008664032378075583153913934702685203576143400536338012443636480379262017668896452308479037888217888995203019681763505021868120481527671211777014946532005541417320448) x (if (<=.f64 x 4322569670051231/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (*.f64 y 5000000000000000/5641895835477563) x))
x
Compiler

Compiled 187 to 125 computations (33.2% saved)

soundness429.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
1229×fma-def_binary64
1055×div-sub_binary64
902×fma-neg_binary64
409×associate-/l*_binary64
380×associate-/r*_binary64
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
01118
12018
23518
35218
48118
512718
620518
729218
839618
954016
1073716
11120516
12229116
13455516
14584416
15668816
16685616
17688416
18725416
Stop Event
1×node limit
Compiler

Compiled 837 to 620 computations (25.9% saved)

end82.0ms (0.9%)

Compiler

Compiled 163 to 98 computations (39.9% saved)

Profiling

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