Details

Time bar (total: 5.2s)

analyze214.0ms (4.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
3.2%3.1%93.7%0.1%3.1%0%0%6
5%4.7%89%0.1%3.1%3.1%0%7
22.1%19.5%68.7%0.1%4.7%7%0%8
27%22.6%61.3%0.1%5.1%10.9%0%9
32.9%26.5%54%0.1%5.9%13.5%0%10
36.2%28.3%49.9%0.1%6.1%15.6%0%11
39.8%30.4%45.9%0.1%6.6%17%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample2.3s (43.8%)

Results
820.0ms1765×body1024valid
717.0ms5297×body256valid
318.0ms1010×body512valid
152.0ms184×body2048valid
84.0ms191×body1024infinite
75.0ms466×body256infinite
65.0ms252×body512infinite
50.0ms482×body256invalid
Bogosity

preprocess47.0ms (0.9%)

Algorithm
egg-herbie
Rules
501×associate-*l*_binary64
493×fma-def_binary64
436×associate-*r*_binary64
400×times-frac_binary64
393×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01534
12926
24526
39626
424226
560226
6163726
7630626
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 y x))))) y)
Outputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 y x))))) y)
(/.f64 (pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 x y)))) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 x y)) y) y)
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify45.0ms (0.9%)

Algorithm
egg-herbie
Rules
522×unswap-sqr_binary64
443×fma-neg_binary64
342×exp-sum_binary64
258×associate-*l*_binary64
255×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
11613
22513
35413
413313
532713
687813
7332113
8660613
Stop Event
node limit
Counts
1 → 3
Calls
Call 1
Inputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Outputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

eval1.0ms (0%)

Compiler

Compiled 33 to 13 computations (60.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New123
Fresh101
Picked000
Done000
Total224
Error
4.8b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
10.5b
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
4.8b
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x)
Compiler

Compiled 24 to 14 computations (41.7% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 x y))
0.0b
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))
7.7b
(log.f64 (/.f64 x (+.f64 x y)))
Compiler

Compiled 40 to 8 computations (80% saved)

series112.0ms (2.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
42.0ms
y
@-inf
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))
27.0ms
y
@-inf
(log.f64 (/.f64 x (+.f64 x y)))
7.0ms
y
@inf
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))
4.0ms
x
@0
(log.f64 (/.f64 x (+.f64 x y)))
4.0ms
x
@-inf
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))
Compiler

Compiled 10890 to 8857 computations (18.7% saved)

rewrite94.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
474×prod-diff_binary64
447×log-prod_binary64
287×pow-prod-down_binary64
240×pow-pow_binary64
240×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0830
117430
2248426
Stop Event
node limit
Counts
3 → 173
Calls
Call 1
Inputs
(log.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (+.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (+.f64 x y))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 x y)))) (sqrt.f64 (log.f64 (+.f64 x y))) (log.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 (neg.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y))))) (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (+.f64 x y))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log.f64 x) (neg.f64 (*.f64 (log.f64 (+.f64 x y)) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 x y))) 1 (*.f64 (log.f64 (+.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (*.f64 (log.f64 (+.f64 x y)) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 x y))) 1 (*.f64 (log.f64 (+.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (*.f64 (log.f64 (+.f64 x y)) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 x y))) 1 (*.f64 (log.f64 (+.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x y))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 x y)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x y))) 2) (*.f64 (cbrt.f64 (log.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x y))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 x y)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x y))) 2) (*.f64 (cbrt.f64 (log.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x y))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 x y)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x y))) 2) (*.f64 (cbrt.f64 (log.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2)) (log.f64 (/.f64 x (cbrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (+.f64 x y) -1/2)) (log.f64 (/.f64 x (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (log.f64 (/.f64 (cbrt.f64 x) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (sqrt.f64 x) 1)) (log.f64 (/.f64 (sqrt.f64 x) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) (log.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y)))) (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (log.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (log.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 x) (log.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 x (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (/.f64 (+.f64 x y) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (+.f64 x y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (/.f64 (+.f64 x y) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 x (sqrt.f64 (+.f64 x y)))) (log.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (neg.f64 x))) (log.f64 (neg.f64 (neg.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 x 1)) (log.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) (log.f64 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 x (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2) (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (+.f64 x y)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) 2) (*.f64 (log.f64 x) (log.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x y)) 2)) (log.f64 (*.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 x (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 x y) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x y))) 3))))) 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simplify93.0ms (1.8%)

Algorithm
egg-herbie
Rules
589×fma-def_binary64
561×associate-*r*_binary64
472×associate-*l*_binary64
244×distribute-rgt-in_binary64
243×sqr-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08205930
123655268
Stop Event
node limit
Counts
245 → 410
Calls
Call 1
Inputs
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 y 2))) (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 -1 (pow.f64 y 2)) 2) (pow.f64 (/.f64 1 y) 2)))) (pow.f64 x 2))) (log.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (/.f64 -1 (pow.f64 y 2)) 3) (pow.f64 (/.f64 1 y) 3))) (+.f64 (*.f64 -6 (/.f64 y (pow.f64 (pow.f64 y 2) 2))) (*.f64 6 (/.f64 1 (*.f64 (pow.f64 (pow.f64 y 2) 2) (*.f64 y (pow.f64 (/.f64 1 y) 2))))))) (pow.f64 x 3))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 -1 (pow.f64 y 2)) 2) (pow.f64 (/.f64 1 y) 2)))) (pow.f64 x 2))) (log.f64 x)))))
(*.f64 -1 (/.f64 y x))
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(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) -1))
Outputs
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 y 2))) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 y)) (fma.f64 -1 (/.f64 (*.f64 y x) (*.f64 y y)) (log.f64 x)))
(-.f64 (-.f64 (log.f64 x) (/.f64 y (/.f64 y (/.f64 x y)))) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 -1 (pow.f64 y 2)) 2) (pow.f64 (/.f64 1 y) 2)))) (pow.f64 x 2))) (log.f64 x))))
(+.f64 (neg.f64 (log.f64 y)) (fma.f64 -1 (/.f64 (*.f64 y x) (*.f64 y y)) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 2 (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 (/.f64 -1 (*.f64 y y)) 2) (pow.f64 (/.f64 1 y) 2)))) (*.f64 x x)) (log.f64 x))))
(-.f64 (-.f64 (fma.f64 1/2 (*.f64 x (*.f64 x (-.f64 (/.f64 2 (*.f64 y y)) (/.f64 (pow.f64 (/.f64 -1 (*.f64 y y)) 2) (pow.f64 (/.f64 1 y) 2))))) (log.f64 x)) (/.f64 y (/.f64 y (/.f64 x y)))) (log.f64 y))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (/.f64 -1 (pow.f64 y 2)) 3) (pow.f64 (/.f64 1 y) 3))) (+.f64 (*.f64 -6 (/.f64 y (pow.f64 (pow.f64 y 2) 2))) (*.f64 6 (/.f64 1 (*.f64 (pow.f64 (pow.f64 y 2) 2) (*.f64 y (pow.f64 (/.f64 1 y) 2))))))) (pow.f64 x 3))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 -1 (pow.f64 y 2)) 2) (pow.f64 (/.f64 1 y) 2)))) (pow.f64 x 2))) (log.f64 x)))))
(fma.f64 1/6 (*.f64 (fma.f64 2 (/.f64 (/.f64 -1 (pow.f64 (*.f64 y y) 3)) (pow.f64 (/.f64 1 y) 3)) (fma.f64 -6 (/.f64 y (pow.f64 y 4)) (/.f64 6 (*.f64 (pow.f64 y 4) (*.f64 y (pow.f64 (/.f64 1 y) 2)))))) (pow.f64 x 3)) (+.f64 (neg.f64 (log.f64 y)) (fma.f64 -1 (/.f64 (*.f64 y x) (*.f64 y y)) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 2 (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 (/.f64 -1 (*.f64 y y)) 2) (pow.f64 (/.f64 1 y) 2)))) (*.f64 x x)) (log.f64 x)))))
(fma.f64 1/6 (*.f64 (+.f64 (/.f64 (/.f64 -2 (pow.f64 (*.f64 y y) 3)) (/.f64 1 (pow.f64 y 3))) (fma.f64 -6 (/.f64 y (pow.f64 y 4)) (/.f64 6 (*.f64 (pow.f64 y 5) (pow.f64 (/.f64 1 y) 2))))) (pow.f64 x 3)) (-.f64 (-.f64 (fma.f64 1/2 (*.f64 x (*.f64 x (-.f64 (/.f64 2 (*.f64 y y)) (/.f64 (pow.f64 (/.f64 -1 (*.f64 y y)) 2) (pow.f64 (/.f64 1 y) 2))))) (log.f64 x)) (/.f64 y (/.f64 y (/.f64 x y)))) (log.f64 y)))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2))) (pow.f64 (/.f64 1 x) 2))) (*.f64 -1 (/.f64 y x)))
(fma.f64 1/2 (*.f64 (fma.f64 -1 (pow.f64 (neg.f64 y) 2) (*.f64 2 (*.f64 y y))) (pow.f64 (/.f64 1 x) 2)) (neg.f64 (/.f64 y x)))
(-.f64 (*.f64 (*.f64 y y) (*.f64 (/.f64 1 (*.f64 x x)) 1/2)) (/.f64 y x))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2))) (pow.f64 (/.f64 1 x) 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 x) 3) (+.f64 (*.f64 6 (*.f64 y (pow.f64 y 2))) (+.f64 (*.f64 -6 (*.f64 y (pow.f64 y 2))) (*.f64 2 (pow.f64 (*.f64 -1 y) 3)))))) (*.f64 -1 (/.f64 y x))))
(fma.f64 1/2 (*.f64 (fma.f64 -1 (pow.f64 (neg.f64 y) 2) (*.f64 2 (*.f64 y y))) (pow.f64 (/.f64 1 x) 2)) (fma.f64 1/6 (*.f64 (/.f64 1 (pow.f64 x 3)) (fma.f64 6 (pow.f64 y 3) (fma.f64 -6 (pow.f64 y 3) (*.f64 2 (pow.f64 (neg.f64 y) 3))))) (neg.f64 (/.f64 y x))))
(-.f64 (fma.f64 1/2 (*.f64 y (*.f64 y (/.f64 1 (*.f64 x x)))) (*.f64 (/.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 y 3) 0) (*.f64 -2 (pow.f64 y 3))))) (/.f64 y x))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2))) (pow.f64 (/.f64 1 x) 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 24 (pow.f64 (pow.f64 y 2) 2)) (+.f64 (*.f64 24 (*.f64 (pow.f64 y 2) (pow.f64 (*.f64 -1 y) 2))) (+.f64 (*.f64 -6 (pow.f64 (*.f64 -1 y) 4)) (+.f64 (*.f64 -3 (pow.f64 (*.f64 2 (pow.f64 y 2)) 2)) (*.f64 -24 (pow.f64 (pow.f64 y 2) 2)))))) (pow.f64 (/.f64 1 x) 4))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 x) 3) (+.f64 (*.f64 6 (*.f64 y (pow.f64 y 2))) (+.f64 (*.f64 -6 (*.f64 y (pow.f64 y 2))) (*.f64 2 (pow.f64 (*.f64 -1 y) 3)))))) (*.f64 -1 (/.f64 y x)))))
(fma.f64 1/2 (*.f64 (fma.f64 -1 (pow.f64 (neg.f64 y) 2) (*.f64 2 (*.f64 y y))) (pow.f64 (/.f64 1 x) 2)) (fma.f64 1/24 (*.f64 (fma.f64 24 (pow.f64 y 4) (fma.f64 24 (*.f64 (*.f64 y y) (pow.f64 (neg.f64 y) 2)) (fma.f64 -6 (pow.f64 (neg.f64 y) 4) (fma.f64 -3 (pow.f64 (*.f64 2 (*.f64 y y)) 2) (*.f64 (pow.f64 y 4) -24))))) (pow.f64 (/.f64 1 x) 4)) (fma.f64 1/6 (*.f64 (/.f64 1 (pow.f64 x 3)) (fma.f64 6 (pow.f64 y 3) (fma.f64 -6 (pow.f64 y 3) (*.f64 2 (pow.f64 (neg.f64 y) 3))))) (neg.f64 (/.f64 y x)))))
(fma.f64 1/2 (*.f64 y (*.f64 y (/.f64 1 (*.f64 x x)))) (fma.f64 1/24 (*.f64 (fma.f64 (pow.f64 y 4) 24 (+.f64 (*.f64 (pow.f64 y 4) 18) (fma.f64 -3 (*.f64 (pow.f64 y 4) 4) (*.f64 (pow.f64 y 4) -24)))) (pow.f64 (/.f64 1 x) 4)) (-.f64 (*.f64 (/.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 y 3) 0) (*.f64 -2 (pow.f64 y 3)))) (/.f64 y x))))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))))) (*.f64 -1 (/.f64 y x)))
(fma.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (*.f64 y y) 1)) (neg.f64 (/.f64 y x)))
(-.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 y (*.f64 y 1/2))) (/.f64 y x))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -6 (*.f64 y (pow.f64 y 2))) (+.f64 (*.f64 6 (*.f64 y (pow.f64 y 2))) (*.f64 2 (pow.f64 y 3)))) (pow.f64 (/.f64 -1 x) 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))))) (*.f64 -1 (/.f64 y x))))
(fma.f64 1/6 (*.f64 (fma.f64 -6 (pow.f64 y 3) (fma.f64 6 (pow.f64 y 3) (*.f64 2 (pow.f64 y 3)))) (pow.f64 (/.f64 -1 x) 3)) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (*.f64 y y) 1)) (neg.f64 (/.f64 y x))))
(fma.f64 1/6 (*.f64 (fma.f64 -6 (pow.f64 y 3) (*.f64 (pow.f64 y 3) 8)) (/.f64 -1 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 y (*.f64 y 1/2))) (/.f64 y x)))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -6 (*.f64 y (pow.f64 y 2))) (+.f64 (*.f64 6 (*.f64 y (pow.f64 y 2))) (*.f64 2 (pow.f64 y 3)))) (pow.f64 (/.f64 -1 x) 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (*.f64 2 (pow.f64 y 2)) 2)) (+.f64 (*.f64 -6 (pow.f64 y 4)) (+.f64 (*.f64 -24 (pow.f64 (pow.f64 y 2) 2)) (*.f64 48 (pow.f64 (pow.f64 y 2) 2))))) (pow.f64 (/.f64 -1 x) 4))) (*.f64 -1 (/.f64 y x)))))
(fma.f64 1/6 (*.f64 (fma.f64 -6 (pow.f64 y 3) (fma.f64 6 (pow.f64 y 3) (*.f64 2 (pow.f64 y 3)))) (pow.f64 (/.f64 -1 x) 3)) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (*.f64 y y) 1)) (fma.f64 1/24 (*.f64 (fma.f64 -3 (pow.f64 (*.f64 2 (*.f64 y y)) 2) (fma.f64 -6 (pow.f64 y 4) (*.f64 (pow.f64 y 4) 24))) (pow.f64 (/.f64 -1 x) 4)) (neg.f64 (/.f64 y x)))))
(fma.f64 1/6 (*.f64 (fma.f64 -6 (pow.f64 y 3) (*.f64 (pow.f64 y 3) 8)) (/.f64 -1 (pow.f64 x 3))) (fma.f64 1/2 (*.f64 y (*.f64 y (pow.f64 (/.f64 -1 x) 2))) (fma.f64 1/24 (*.f64 (fma.f64 -3 (*.f64 (pow.f64 y 4) 4) (*.f64 (pow.f64 y 4) 18)) (pow.f64 (/.f64 -1 x) 4)) (/.f64 (neg.f64 y) x))))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 -1 (pow.f64 (/.f64 -1 x) 2))))) (*.f64 -1 (/.f64 y x)))
(fma.f64 1/2 (*.f64 (*.f64 y y) (+.f64 (/.f64 2 (*.f64 x x)) (neg.f64 (pow.f64 (/.f64 -1 x) 2)))) (neg.f64 (/.f64 y x)))
(-.f64 (*.f64 (-.f64 (/.f64 2 (*.f64 x x)) (pow.f64 (/.f64 -1 x) 2)) (*.f64 y (*.f64 y 1/2))) (/.f64 y x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 -1 (pow.f64 (/.f64 -1 x) 2))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 -1 x) 3))) (*.f64 -1 (/.f64 y x))))
(fma.f64 1/2 (*.f64 (*.f64 y y) (+.f64 (/.f64 2 (*.f64 x x)) (neg.f64 (pow.f64 (/.f64 -1 x) 2)))) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 -1 x) 3)) (neg.f64 (/.f64 y x))))
(fma.f64 (*.f64 1/2 (*.f64 y y)) (-.f64 (/.f64 2 (*.f64 x x)) (pow.f64 (/.f64 -1 x) 2)) (-.f64 (*.f64 1/3 (/.f64 (pow.f64 (neg.f64 y) 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 -1 (pow.f64 (/.f64 -1 x) 2))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 -1 x) 3))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (/.f64 2 (pow.f64 x 2)) 2)) (+.f64 (*.f64 -6 (pow.f64 (/.f64 -1 x) 4)) (*.f64 24 (/.f64 (pow.f64 (/.f64 -1 x) 2) (pow.f64 x 2))))) (pow.f64 y 4))) (*.f64 -1 (/.f64 y x)))))
(fma.f64 1/2 (*.f64 (*.f64 y y) (+.f64 (/.f64 2 (*.f64 x x)) (neg.f64 (pow.f64 (/.f64 -1 x) 2)))) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 -1 x) 3)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) (fma.f64 -3 (pow.f64 (/.f64 2 (*.f64 x x)) 2) (fma.f64 -6 (pow.f64 (/.f64 -1 x) 4) (*.f64 24 (/.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 x x)))))) (neg.f64 (/.f64 y x)))))
(fma.f64 1/2 (*.f64 y (*.f64 y (-.f64 (/.f64 2 (*.f64 x x)) (pow.f64 (/.f64 -1 x) 2)))) (-.f64 (fma.f64 1/3 (/.f64 (pow.f64 (neg.f64 y) 3) (pow.f64 x 3)) (*.f64 (fma.f64 -3 (*.f64 4 (pow.f64 (/.f64 1 x) 4)) (fma.f64 -6 (pow.f64 (/.f64 -1 x) 4) (/.f64 24 (/.f64 (*.f64 x x) (pow.f64 (/.f64 -1 x) 2))))) (*.f64 (pow.f64 y 4) 1/24))) (/.f64 y x)))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y x))) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y x)) (log.f64 x)))
(-.f64 (-.f64 (log.f64 x) (/.f64 (/.f64 (*.f64 x x) x) y)) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y x))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2) (pow.f64 x 2)))) (pow.f64 (/.f64 1 y) 2))) (log.f64 x))))
(+.f64 (neg.f64 (log.f64 y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y x)) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 y) 2) (fma.f64 2 (*.f64 x x) (neg.f64 (/.f64 (pow.f64 (neg.f64 (*.f64 x x)) 2) (*.f64 x x))))) (log.f64 x))))
(-.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 y) 2) (-.f64 (*.f64 x (*.f64 x 2)) (/.f64 (pow.f64 x 4) (*.f64 x x)))) (log.f64 x)) (/.f64 (/.f64 (*.f64 x x) x) y)) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y x))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2) (pow.f64 x 2)))) (pow.f64 (/.f64 1 y) 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 y) 3) (+.f64 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 3) (pow.f64 x 3))) (+.f64 (*.f64 6 (/.f64 (*.f64 (pow.f64 (pow.f64 x 2) 2) x) (pow.f64 x 2))) (*.f64 -6 (/.f64 (pow.f64 (pow.f64 x 2) 2) x)))))) (log.f64 x)))))
(+.f64 (neg.f64 (log.f64 y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y x)) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 y) 2) (fma.f64 2 (*.f64 x x) (neg.f64 (/.f64 (pow.f64 (neg.f64 (*.f64 x x)) 2) (*.f64 x x))))) (fma.f64 1/6 (*.f64 (pow.f64 (/.f64 1 y) 3) (fma.f64 2 (/.f64 (pow.f64 (neg.f64 (*.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 6 (/.f64 (pow.f64 x 4) (/.f64 (*.f64 x x) x)) (*.f64 -6 (/.f64 (pow.f64 x 4) x))))) (log.f64 x)))))
(-.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 y) 2) (-.f64 (*.f64 x (*.f64 x 2)) (/.f64 (pow.f64 x 4) (*.f64 x x)))) (fma.f64 (/.f64 1/6 (pow.f64 y 3)) (+.f64 (/.f64 (*.f64 -2 (pow.f64 (*.f64 x x) 3)) (pow.f64 x 3)) (fma.f64 -6 (/.f64 (pow.f64 x 4) x) (*.f64 (/.f64 6 x) (/.f64 (pow.f64 x 5) x)))) (log.f64 x))) (/.f64 (/.f64 (*.f64 x x) x) y)) (log.f64 y))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y x))) (log.f64 (*.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y x)) (log.f64 (neg.f64 x))))
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (log.f64 (neg.f64 x)) (/.f64 (/.f64 (*.f64 x x) x) y)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 y) 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2) (pow.f64 (*.f64 -1 x) 2))) (*.f64 2 (pow.f64 x 2))))) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y x))) (log.f64 (*.f64 -1 x)))))
(fma.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 y) 2) (fma.f64 -1 (/.f64 (pow.f64 (neg.f64 (*.f64 x x)) 2) (pow.f64 (neg.f64 x) 2)) (*.f64 2 (*.f64 x x)))) (+.f64 (log.f64 (/.f64 -1 y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y x)) (log.f64 (neg.f64 x)))))
(fma.f64 1/2 (*.f64 (-.f64 (*.f64 x (*.f64 x 2)) (/.f64 (pow.f64 x 4) (*.f64 x x))) (pow.f64 (/.f64 -1 y) 2)) (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (log.f64 (neg.f64 x)) (/.f64 (/.f64 (*.f64 x x) x) y))))
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1
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1
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1
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 y x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)
(/.f64 x (+.f64 y x))
(*.f64 x (/.f64 1 (+.f64 x y)))
(/.f64 x (+.f64 y x))
(*.f64 (/.f64 x (+.f64 x y)) 1)
(/.f64 x (+.f64 y x))
(*.f64 1 (/.f64 x (+.f64 x y)))
(/.f64 x (+.f64 y x))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2))
(/.f64 x (+.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) (cbrt.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y))))
(/.f64 x (+.f64 y x))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 y x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x y))))
(/.f64 x (+.f64 y x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 x y))))
(/.f64 x (+.f64 y x))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(/.f64 x (+.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(/.f64 x (+.f64 y x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(/.f64 x (+.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 x (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) -2) (/.f64 x (cbrt.f64 (+.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 y x))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 y x))) (pow.f64 (cbrt.f64 (+.f64 y x)) 2))
(*.f64 (pow.f64 (+.f64 x y) -1/2) (/.f64 x (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 y x) -1/2) (/.f64 x (sqrt.f64 (+.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 y x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 y x))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
(/.f64 (*.f64 x (-.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 x)) (pow.f64 (exp.f64 1) (neg.f64 (log.f64 (+.f64 x y)))))
(*.f64 (pow.f64 (E.f64) (log.f64 x)) (pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 y x)))))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y))))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x (+.f64 y x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (/.f64 x (+.f64 y x))))))
(pow.f64 (/.f64 x (+.f64 x y)) 1)
(/.f64 x (+.f64 y x))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) 2))
(fabs.f64 (/.f64 x (+.f64 y x)))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) -3) 1/3)
(/.f64 x (+.f64 y x))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
(/.f64 x (+.f64 y x))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
(/.f64 x (+.f64 y x))
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(/.f64 x (+.f64 y x))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2))
(/.f64 x (+.f64 y x))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 y x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))))
(/.f64 x (+.f64 y x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 1))
(/.f64 x (+.f64 y x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y)))))
(/.f64 x (+.f64 y x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 1))
(/.f64 x (+.f64 y x))
(pow.f64 (+.f64 1 (-.f64 (/.f64 x (+.f64 x y)) 1)) 1)
(+.f64 1 (+.f64 (/.f64 x (+.f64 y x)) -1))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)))
(pow.f64 (/.f64 (/.f64 (+.f64 x y) x) 1) -1)
(/.f64 x (+.f64 y x))
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 y x))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2))
(/.f64 x (+.f64 y x))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y)))))
(/.f64 x (+.f64 y x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2)) 1) (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))))
(/.f64 x (+.f64 y x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y)))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 y x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y))))) 1) (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y)))))
(/.f64 x (+.f64 y x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y))))) (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 y x))))) (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 x y))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 y x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 y x))))) (fabs.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 y x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 x y))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 y x))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 y x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 y x))))))
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(/.f64 x (+.f64 y x))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) 2))
(fabs.f64 (/.f64 x (+.f64 y x)))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x y)))))
(/.f64 x (+.f64 y x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -3))
(/.f64 x (+.f64 y x))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 y x))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 y x))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 2))
(/.f64 x (+.f64 y x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) -3)) 1/3))
(/.f64 x (+.f64 y x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(/.f64 x (+.f64 y x))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) -1))
(/.f64 x (+.f64 y x))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 x y))
5.6b
(pow.f64 (/.f64 x (+.f64 x y)) x)
Compiler

Compiled 28 to 6 computations (78.6% saved)

series55.0ms (1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
38.0ms
y
@-inf
(pow.f64 (/.f64 x (+.f64 x y)) x)
4.0ms
x
@inf
(pow.f64 (/.f64 x (+.f64 x y)) x)
4.0ms
y
@inf
(pow.f64 (/.f64 x (+.f64 x y)) x)
3.0ms
x
@-inf
(pow.f64 (/.f64 x (+.f64 x y)) x)
3.0ms
x
@0
(pow.f64 (/.f64 x (+.f64 x y)) x)
Compiler

Compiled 6584 to 5346 computations (18.8% saved)

rewrite43.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
850×pow1_binary64
795×add-log-exp_binary64
795×log1p-expm1-u_binary64
795×expm1-log1p-u_binary64
776×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114010
2210510
Stop Event
node limit
Counts
1 → 16
Calls
Call 1
Inputs
(pow.f64 (/.f64 x (+.f64 x y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 x (+.f64 x y)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 x (+.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) 2) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x x) (pow.f64 (/.f64 1 (+.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 x) (pow.f64 (/.f64 x (+.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))))))

simplify56.0ms (1.1%)

Algorithm
egg-herbie
Rules
669×associate-/l*_binary64
656×associate-/r*_binary64
299×fma-def_binary64
261×unswap-sqr_binary64
251×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02942123
19701683
240821354
Stop Event
node limit
Counts
40 → 101
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 y 2))) (*.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))) (pow.f64 x 2)) (+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 y 2))) (*.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 -1 (pow.f64 y 2)) 2) (pow.f64 (/.f64 1 y) 2))))) (*.f64 1/6 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)))) (pow.f64 x 3)))))
(exp.f64 (*.f64 -1 y))
(+.f64 (exp.f64 (*.f64 -1 y)) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2)))) x)))
(+.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2)))) x)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2)))) 2)) (*.f64 1/6 (+.f64 (*.f64 6 (*.f64 y (pow.f64 y 2))) (+.f64 (*.f64 -6 (*.f64 y (pow.f64 y 2))) (*.f64 2 (pow.f64 (*.f64 -1 y) 3)))))) (*.f64 (exp.f64 (*.f64 -1 y)) (pow.f64 (/.f64 1 x) 2)))))
(+.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 1/12 (*.f64 (+.f64 (*.f64 6 (*.f64 y (pow.f64 y 2))) (+.f64 (*.f64 -6 (*.f64 y (pow.f64 y 2))) (*.f64 2 (pow.f64 (*.f64 -1 y) 3)))) (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2))))) (+.f64 (*.f64 1/6 (pow.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2)))) 3)) (*.f64 1/24 (+.f64 (*.f64 -6 (pow.f64 (*.f64 -1 y) 4)) (+.f64 (*.f64 24 (pow.f64 (pow.f64 y 2) 2)) (+.f64 (*.f64 24 (*.f64 (pow.f64 y 2) (pow.f64 (*.f64 -1 y) 2))) (+.f64 (*.f64 -3 (pow.f64 (*.f64 2 (pow.f64 y 2)) 2)) (*.f64 -24 (pow.f64 (pow.f64 y 2) 2))))))))))) (+.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2)))) x)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2)))) 2)) (*.f64 1/6 (+.f64 (*.f64 6 (*.f64 y (pow.f64 y 2))) (+.f64 (*.f64 -6 (*.f64 y (pow.f64 y 2))) (*.f64 2 (pow.f64 (*.f64 -1 y) 3)))))) (*.f64 (exp.f64 (*.f64 -1 y)) (pow.f64 (/.f64 1 x) 2))))))
(exp.f64 (*.f64 -1 y))
(+.f64 (exp.f64 (*.f64 -1 y)) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))) x)))
(+.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1/6 (+.f64 (*.f64 -6 (*.f64 y (pow.f64 y 2))) (+.f64 (*.f64 6 (*.f64 y (pow.f64 y 2))) (*.f64 2 (pow.f64 y 3))))) (*.f64 1/2 (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))) 2))))) (+.f64 (exp.f64 (*.f64 -1 y)) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))) x))))
(+.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1/6 (+.f64 (*.f64 -6 (*.f64 y (pow.f64 y 2))) (+.f64 (*.f64 6 (*.f64 y (pow.f64 y 2))) (*.f64 2 (pow.f64 y 3))))) (*.f64 1/2 (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))) 2))))) (+.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 (+.f64 (*.f64 1/12 (*.f64 (+.f64 (*.f64 -6 (*.f64 y (pow.f64 y 2))) (+.f64 (*.f64 6 (*.f64 y (pow.f64 y 2))) (*.f64 2 (pow.f64 y 3)))) (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))))) (+.f64 (*.f64 -1/24 (+.f64 (*.f64 -3 (pow.f64 (*.f64 2 (pow.f64 y 2)) 2)) (+.f64 (*.f64 -6 (pow.f64 y 4)) (+.f64 (*.f64 -24 (pow.f64 (pow.f64 y 2) 2)) (*.f64 48 (pow.f64 (pow.f64 y 2) 2)))))) (*.f64 1/6 (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))) 3)))) (*.f64 (exp.f64 (*.f64 -1 y)) (pow.f64 (/.f64 -1 x) 3))) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))) x)))))
1
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 -1 (pow.f64 (/.f64 -1 x) 2))) x))) (pow.f64 y 2)) (*.f64 -1 y)))
(+.f64 1 (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 -1 (pow.f64 (/.f64 -1 x) 2))) x))) (pow.f64 y 2)) (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 y 3) (-.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 -1 (pow.f64 (/.f64 -1 x) 2))) x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 -1 x) 3) x))) 1/6)))))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))) y)) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))) y)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2) (pow.f64 x 2)))) x))) (*.f64 (pow.f64 (/.f64 1 y) 2) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))))
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2) (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) x))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 3) (pow.f64 x 3))) (+.f64 (*.f64 6 (/.f64 (*.f64 (pow.f64 (pow.f64 x 2) 2) x) (pow.f64 x 2))) (*.f64 -6 (/.f64 (pow.f64 (pow.f64 x 2) 2) x)))) x)) (*.f64 1/6 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 3)))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))) y)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2) (pow.f64 x 2)))) x))) (*.f64 (pow.f64 (/.f64 1 y) 2) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (pow.f64 x 2)) y)))
(+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (pow.f64 x 2) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2) (pow.f64 (*.f64 -1 x) 2))) (*.f64 2 (pow.f64 x 2))) x))) (pow.f64 (/.f64 -1 y) 2))) (+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (pow.f64 x 2)) y))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -6 (/.f64 (*.f64 (pow.f64 (pow.f64 x 2) 2) x) (pow.f64 (*.f64 -1 x) 2))) (+.f64 (*.f64 6 (/.f64 (pow.f64 (pow.f64 x 2) 2) x)) (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 3) (pow.f64 (*.f64 -1 x) 3))))) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2) (pow.f64 (*.f64 -1 x) 2))) (*.f64 2 (pow.f64 x 2))) x))) (*.f64 1/6 (pow.f64 (pow.f64 x 2) 3)))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (pow.f64 (/.f64 -1 y) 3))) (+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (pow.f64 x 2) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2) (pow.f64 (*.f64 -1 x) 2))) (*.f64 2 (pow.f64 x 2))) x))) (pow.f64 (/.f64 -1 y) 2))) (+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (pow.f64 x 2)) y)))))
(-.f64 (+.f64 1 (pow.f64 (/.f64 x (+.f64 x y)) x)) 1)
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) 1)
(*.f64 1 (pow.f64 (/.f64 x (+.f64 x y)) x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) 2) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(*.f64 (pow.f64 x x) (pow.f64 (/.f64 1 (+.f64 x y)) x))
(*.f64 (pow.f64 1 x) (pow.f64 (/.f64 x (+.f64 x y)) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) (+.f64 x x)))
(log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(exp.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
Outputs
1
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 1 (*.f64 x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))))
(fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) 1)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 y 2))) (*.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))) (pow.f64 x 2)) (+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))
(fma.f64 (fma.f64 -1 (/.f64 y (*.f64 y y)) (*.f64 1/2 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) 2))) (*.f64 x x) (+.f64 1 (*.f64 x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)))))
(fma.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 2)) (/.f64 y (*.f64 y y))) (*.f64 x x) (fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) 1))
(fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 2) (/.f64 -1 y)) (*.f64 x x) (fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) 1))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 y 2))) (*.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 -1 (pow.f64 y 2)) 2) (pow.f64 (/.f64 1 y) 2))))) (*.f64 1/6 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)))) (pow.f64 x 3)))))
(fma.f64 (fma.f64 -1 (/.f64 y (*.f64 y y)) (*.f64 1/2 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) 2))) (*.f64 x x) (+.f64 1 (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x (*.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 y y) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) (fma.f64 1/2 (+.f64 (/.f64 2 (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 (/.f64 -1 (*.f64 y y)) 2) (pow.f64 (/.f64 1 y) 2)))) (*.f64 1/6 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) 3)))) (pow.f64 x 3)))))
(+.f64 (fma.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 2)) (/.f64 y (*.f64 y y))) (*.f64 x x) (fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) 1)) (*.f64 (-.f64 (fma.f64 1/2 (-.f64 (/.f64 2 (*.f64 y y)) (/.f64 (pow.f64 (/.f64 -1 (*.f64 y y)) 2) (pow.f64 (/.f64 1 y) 2))) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3))) (*.f64 (/.f64 y (*.f64 y y)) (-.f64 (log.f64 x) (log.f64 y)))) (pow.f64 x 3)))
(+.f64 (fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) 1) (*.f64 (*.f64 x x) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 -1 y) (-.f64 (log.f64 x) (log.f64 y))) (fma.f64 1/2 (-.f64 (/.f64 2 (*.f64 y y)) (pow.f64 (/.f64 -1 y) 2)) (*.f64 1/6 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)))) x) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 2) (/.f64 -1 y)))))
(exp.f64 (*.f64 -1 y))
(exp.f64 (neg.f64 y))
(+.f64 (exp.f64 (*.f64 -1 y)) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2)))) x)))
(+.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 y)) (fma.f64 -1 (pow.f64 (neg.f64 y) 2) (*.f64 2 (*.f64 y y))))) x))
(fma.f64 1/2 (/.f64 (exp.f64 (neg.f64 y)) (/.f64 x (*.f64 y y))) (exp.f64 (neg.f64 y)))
(fma.f64 1/2 (*.f64 (/.f64 (exp.f64 (neg.f64 y)) x) (*.f64 y y)) (exp.f64 (neg.f64 y)))
(+.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2)))) x)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2)))) 2)) (*.f64 1/6 (+.f64 (*.f64 6 (*.f64 y (pow.f64 y 2))) (+.f64 (*.f64 -6 (*.f64 y (pow.f64 y 2))) (*.f64 2 (pow.f64 (*.f64 -1 y) 3)))))) (*.f64 (exp.f64 (*.f64 -1 y)) (pow.f64 (/.f64 1 x) 2)))))
(+.f64 (exp.f64 (neg.f64 y)) (fma.f64 1/2 (/.f64 (exp.f64 (neg.f64 y)) (/.f64 x (fma.f64 -1 (pow.f64 (neg.f64 y) 2) (*.f64 2 (*.f64 y y))))) (*.f64 (fma.f64 1/2 (pow.f64 (*.f64 1/2 (fma.f64 -1 (pow.f64 (neg.f64 y) 2) (*.f64 2 (*.f64 y y)))) 2) (*.f64 1/6 (fma.f64 6 (pow.f64 y 3) (fma.f64 -6 (pow.f64 y 3) (*.f64 2 (pow.f64 (neg.f64 y) 3)))))) (*.f64 (exp.f64 (neg.f64 y)) (pow.f64 (/.f64 1 x) 2)))))
(+.f64 (exp.f64 (neg.f64 y)) (fma.f64 1/2 (/.f64 (exp.f64 (neg.f64 y)) (/.f64 x (*.f64 y y))) (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/6 (+.f64 (*.f64 -2 (pow.f64 y 3)) (*.f64 (pow.f64 y 3) 0)))) (*.f64 (exp.f64 (neg.f64 y)) (pow.f64 (/.f64 1 x) 2)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 y)) (/.f64 (/.f64 x (*.f64 y y)) 1/2)) (*.f64 (+.f64 (*.f64 (fma.f64 1/6 (+.f64 (*.f64 -2 (pow.f64 y 3)) 0) (*.f64 1/2 (*.f64 (pow.f64 y 4) 1/4))) (/.f64 1 (*.f64 x x))) 1) (exp.f64 (neg.f64 y))))
(+.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 1/12 (*.f64 (+.f64 (*.f64 6 (*.f64 y (pow.f64 y 2))) (+.f64 (*.f64 -6 (*.f64 y (pow.f64 y 2))) (*.f64 2 (pow.f64 (*.f64 -1 y) 3)))) (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2))))) (+.f64 (*.f64 1/6 (pow.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2)))) 3)) (*.f64 1/24 (+.f64 (*.f64 -6 (pow.f64 (*.f64 -1 y) 4)) (+.f64 (*.f64 24 (pow.f64 (pow.f64 y 2) 2)) (+.f64 (*.f64 24 (*.f64 (pow.f64 y 2) (pow.f64 (*.f64 -1 y) 2))) (+.f64 (*.f64 -3 (pow.f64 (*.f64 2 (pow.f64 y 2)) 2)) (*.f64 -24 (pow.f64 (pow.f64 y 2) 2))))))))))) (+.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2)))) x)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 (*.f64 -1 y) 2)) (*.f64 2 (pow.f64 y 2)))) 2)) (*.f64 1/6 (+.f64 (*.f64 6 (*.f64 y (pow.f64 y 2))) (+.f64 (*.f64 -6 (*.f64 y (pow.f64 y 2))) (*.f64 2 (pow.f64 (*.f64 -1 y) 3)))))) (*.f64 (exp.f64 (*.f64 -1 y)) (pow.f64 (/.f64 1 x) 2))))))
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1
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(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2) (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) x))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 3) (pow.f64 x 3))) (+.f64 (*.f64 6 (/.f64 (*.f64 (pow.f64 (pow.f64 x 2) 2) x) (pow.f64 x 2))) (*.f64 -6 (/.f64 (pow.f64 (pow.f64 x 2) 2) x)))) x)) (*.f64 1/6 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 3)))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))) y)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2) (pow.f64 x 2)))) x))) (*.f64 (pow.f64 (/.f64 1 y) 2) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))))
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(fma.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) x) (fma.f64 1/6 (fma.f64 x (+.f64 (/.f64 (*.f64 -2 (pow.f64 (*.f64 x x) 3)) (pow.f64 x 3)) (fma.f64 6 (*.f64 (/.f64 (pow.f64 x 4) x) (/.f64 x x)) (*.f64 -6 (/.f64 (pow.f64 x 4) x)))) (pow.f64 (*.f64 x (neg.f64 x)) 3)) (*.f64 -1/2 (*.f64 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (/.f64 (neg.f64 (pow.f64 x 4)) (*.f64 x x))))))) (-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 1 y) 2) (*.f64 1/2 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 2 (*.f64 x x) (/.f64 (neg.f64 (pow.f64 x 4)) (*.f64 x x))))))) 1) (pow.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) x)) (*.f64 (/.f64 (*.f64 x x) y) (pow.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) x))))
(fma.f64 (/.f64 (fma.f64 1/6 (fma.f64 x (fma.f64 2 (pow.f64 (neg.f64 x) 3) (fma.f64 (pow.f64 x 3) 6 (*.f64 (pow.f64 x 3) -6))) (neg.f64 (pow.f64 x 6))) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (-.f64 (*.f64 x (+.f64 x x)) (*.f64 x x)))) (pow.f64 y 3)) (pow.f64 (*.f64 (/.f64 1 y) x) x) (*.f64 (pow.f64 (*.f64 (/.f64 1 y) x) x) (-.f64 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (pow.f64 x 4) (*.f64 x (-.f64 (*.f64 x (+.f64 x x)) (*.f64 x x)))) (/.f64 1 (*.f64 y y)))) 1) (/.f64 x (/.f64 y x)))))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x)
(+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (pow.f64 x 2)) y)))
(+.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (neg.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 y (*.f64 x x)))))
(-.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (*.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) y) (*.f64 x x)))
(-.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) (*.f64 (/.f64 x (/.f64 y x)) (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x)))
(+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (pow.f64 x 2) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2) (pow.f64 (*.f64 -1 x) 2))) (*.f64 2 (pow.f64 x 2))) x))) (pow.f64 (/.f64 -1 y) 2))) (+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (pow.f64 x 2)) y))))
(fma.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (*.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 x x) 2) (*.f64 x (fma.f64 -1 (/.f64 (pow.f64 (neg.f64 (*.f64 x x)) 2) (pow.f64 (neg.f64 x) 2)) (*.f64 2 (*.f64 x x)))))) (pow.f64 (/.f64 -1 y) 2)) (+.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (neg.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 y (*.f64 x x))))))
(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 -1 y) 2) 1/2) (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 2 (*.f64 x x) (/.f64 (neg.f64 (pow.f64 x 4)) (*.f64 x x)))))) 1) (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) y) (*.f64 x x)))
(fma.f64 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (pow.f64 x 4) (*.f64 x (-.f64 (*.f64 x (+.f64 x x)) (*.f64 x x)))) (pow.f64 (/.f64 -1 y) 2))) 1) (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) y) (*.f64 x (neg.f64 x))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -6 (/.f64 (*.f64 (pow.f64 (pow.f64 x 2) 2) x) (pow.f64 (*.f64 -1 x) 2))) (+.f64 (*.f64 6 (/.f64 (pow.f64 (pow.f64 x 2) 2) x)) (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 3) (pow.f64 (*.f64 -1 x) 3))))) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2) (pow.f64 (*.f64 -1 x) 2))) (*.f64 2 (pow.f64 x 2))) x))) (*.f64 1/6 (pow.f64 (pow.f64 x 2) 3)))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (pow.f64 (/.f64 -1 y) 3))) (+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (pow.f64 x 2) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (pow.f64 x 2)) 2) (pow.f64 (*.f64 -1 x) 2))) (*.f64 2 (pow.f64 x 2))) x))) (pow.f64 (/.f64 -1 y) 2))) (+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) (pow.f64 x 2)) y)))))
(fma.f64 (fma.f64 1/6 (*.f64 x (fma.f64 -6 (/.f64 (pow.f64 (*.f64 x x) 2) (/.f64 (pow.f64 (neg.f64 x) 2) x)) (fma.f64 6 (/.f64 (pow.f64 (*.f64 x x) 2) x) (/.f64 (*.f64 2 (pow.f64 (neg.f64 (*.f64 x x)) 3)) (pow.f64 (neg.f64 x) 3))))) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 x x) (fma.f64 -1 (/.f64 (pow.f64 (neg.f64 (*.f64 x x)) 2) (pow.f64 (neg.f64 x) 2)) (*.f64 2 (*.f64 x x)))) x) (*.f64 1/6 (pow.f64 (*.f64 x x) 3)))) (*.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 -1 (pow.f64 y 3))) (fma.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (*.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 x x) 2) (*.f64 x (fma.f64 -1 (/.f64 (pow.f64 (neg.f64 (*.f64 x x)) 2) (pow.f64 (neg.f64 x) 2)) (*.f64 2 (*.f64 x x)))))) (pow.f64 (/.f64 -1 y) 2)) (+.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (neg.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 y (*.f64 x x)))))))
(fma.f64 (fma.f64 1/6 (*.f64 x (fma.f64 -6 (*.f64 (/.f64 (pow.f64 x 4) x) (/.f64 x x)) (fma.f64 6 (/.f64 (pow.f64 x 4) x) (/.f64 (*.f64 -2 (pow.f64 (*.f64 x x) 3)) (pow.f64 (neg.f64 x) 3))))) (fma.f64 1/2 (*.f64 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (/.f64 (neg.f64 (pow.f64 x 4)) (*.f64 x x)))) (*.f64 1/6 (pow.f64 (*.f64 x x) 3)))) (*.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 -1 (pow.f64 y 3))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 -1 y) 2) 1/2) (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 2 (*.f64 x x) (/.f64 (neg.f64 (pow.f64 x 4)) (*.f64 x x)))))) 1) (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) y) (*.f64 x x))))
(-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) (+.f64 (*.f64 (fma.f64 1/6 (*.f64 x (fma.f64 (pow.f64 x 3) -6 (fma.f64 2 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 6)))) (fma.f64 1/2 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 x (+.f64 x x)) (*.f64 x x))) (*.f64 1/6 (pow.f64 x 6)))) (/.f64 -1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (pow.f64 x 4) (*.f64 x (-.f64 (*.f64 x (+.f64 x x)) (*.f64 x x)))) (pow.f64 (/.f64 -1 y) 2))) 1))) (*.f64 (/.f64 x (/.f64 y x)) (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x)))
(-.f64 (+.f64 1 (pow.f64 (/.f64 x (+.f64 x y)) x)) 1)
(+.f64 1 (-.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 1))
(+.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 0)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) 1)
(+.f64 1 (-.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 1))
(+.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 0)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(*.f64 1 (pow.f64 (/.f64 x (+.f64 x y)) x))
(+.f64 1 (-.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 1))
(+.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 0)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) 2))
(+.f64 1 (-.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 1))
(+.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 0)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) 2) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(+.f64 1 (-.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 1))
(+.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 0)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(+.f64 1 (-.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 1))
(+.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 0)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(*.f64 (pow.f64 x x) (pow.f64 (/.f64 1 (+.f64 x y)) x))
(*.f64 (pow.f64 x x) (pow.f64 (/.f64 1 (+.f64 y x)) x))
(*.f64 (pow.f64 1 x) (pow.f64 (/.f64 x (+.f64 x y)) x))
(+.f64 1 (-.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 1))
(+.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 0)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2) x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) x))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 y x))) (+.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) (+.f64 x x)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) (+.f64 x x)))
(fabs.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))
(log.f64 (exp.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(+.f64 1 (-.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 1))
(+.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 0)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) 3))
(+.f64 1 (-.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 1))
(+.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 0)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(+.f64 1 (-.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 1))
(+.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 0)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(+.f64 1 (-.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 1))
(+.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 0)
(pow.f64 (/.f64 x (+.f64 y x)) x)
(exp.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))
(+.f64 1 (-.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 1))
(+.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) 0)
(pow.f64 (/.f64 x (+.f64 y x)) x)

eval366.0ms (7%)

Compiler

Compiled 19685 to 10038 computations (49% saved)

prune126.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New6494653
Fresh000
Picked011
Done101
Total6505655
Error
0.0b
Counts
655 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
10.5b
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
38.1b
(/.f64 (pow.f64 (/.f64 x y) x) x)
19.5b
(/.f64 (-.f64 1 y) x)
10.8b
(/.f64 (exp.f64 (neg.f64 y)) x)
8.8b
(/.f64 1 x)
Compiler

Compiled 39 to 25 computations (35.9% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize27.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (exp.f64 (neg.f64 y)) x)
Compiler

Compiled 14 to 5 computations (64.3% saved)

series6.0ms (0.1%)

Counts
1 → 8
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 (exp.f64 (neg.f64 y)) x)
1.0ms
x
@inf
(/.f64 (exp.f64 (neg.f64 y)) x)
1.0ms
y
@-inf
(/.f64 (exp.f64 (neg.f64 y)) x)
1.0ms
x
@0
(/.f64 (exp.f64 (neg.f64 y)) x)
1.0ms
y
@inf
(/.f64 (exp.f64 (neg.f64 y)) x)
Compiler

Compiled 230 to 174 computations (24.3% saved)

rewrite51.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
557×pow1_binary64
514×add-log-exp_binary64
513×log1p-expm1-u_binary64
513×expm1-log1p-u_binary64
502×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068
11246
216606
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(/.f64 (exp.f64 (neg.f64 y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (exp.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 y) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 y) x)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 y) x)) 2) (cbrt.f64 (/.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) (*.f64 (cbrt.f64 (exp.f64 y)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 y) x)) (sqrt.f64 (/.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 y)) (*.f64 (sqrt.f64 (exp.f64 y)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 y)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (exp.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 y)) 1) (/.f64 (sqrt.f64 (exp.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (exp.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 y)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (exp.f64 y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (exp.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (exp.f64 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (exp.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 y (log.f64 x)))))))

simplify38.0ms (0.7%)

Algorithm
egg-herbie
Rules
426×associate-*l*_binary64
390×associate-*r*_binary64
342×fma-def_binary64
323×fma-neg_binary64
269×cube-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
098487
1241398
2682318
34070318
Stop Event
node limit
Counts
38 → 54
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1/6 (/.f64 (pow.f64 y 3) x)))))
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(-.f64 (+.f64 1 (/.f64 (exp.f64 y) x)) 1)
(*.f64 (exp.f64 y) (pow.f64 x -1))
(*.f64 (/.f64 (exp.f64 y) x) 1)
(*.f64 1 (/.f64 (exp.f64 y) x))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 y) x)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 y) x)) 2) (cbrt.f64 (/.f64 (exp.f64 y) x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) (*.f64 (cbrt.f64 (exp.f64 y)) (pow.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 y) x)) (sqrt.f64 (/.f64 (exp.f64 y) x)))
(*.f64 (sqrt.f64 (exp.f64 y)) (*.f64 (sqrt.f64 (exp.f64 y)) (pow.f64 x -1)))
(*.f64 (neg.f64 (exp.f64 y)) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 x -1) (exp.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 y)) x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 y)) 1) (/.f64 (sqrt.f64 (exp.f64 y)) x))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (exp.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (exp.f64 y) x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 y)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (exp.f64 y)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (exp.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (exp.f64 y)) (sqrt.f64 x)))
(pow.f64 (/.f64 (exp.f64 y) x) 1)
(pow.f64 (pow.f64 (/.f64 (exp.f64 y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 y) x)) 2)
(pow.f64 (*.f64 x (exp.f64 y)) -1)
(neg.f64 (/.f64 (exp.f64 y) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 y) x) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 y) x)))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 y) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 y) x)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 y) x)))
(exp.f64 (-.f64 y (log.f64 x)))
Outputs
(/.f64 1 x)
(pow.f64 x -1)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (neg.f64 y) x) (pow.f64 x -1))
(-.f64 (/.f64 1 x) (/.f64 y x))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(fma.f64 1/2 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 (neg.f64 y) x) (pow.f64 x -1)))
(fma.f64 1/2 (/.f64 y (/.f64 x y)) (-.f64 (/.f64 1 x) (/.f64 y x)))
(-.f64 (fma.f64 1/2 (/.f64 y (/.f64 x y)) (/.f64 1 x)) (/.f64 y x))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1/6 (/.f64 (pow.f64 y 3) x)))))
(fma.f64 1/2 (/.f64 (*.f64 y y) x) (+.f64 (fma.f64 -1 (/.f64 y x) (*.f64 -1/6 (/.f64 (pow.f64 y 3) x))) (pow.f64 x -1)))
(+.f64 (fma.f64 1/2 (/.f64 y (/.f64 x y)) (-.f64 (/.f64 1 x) (/.f64 y x))) (*.f64 -1/6 (/.f64 (pow.f64 y 3) x)))
(fma.f64 1/2 (/.f64 y (/.f64 x y)) (-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 y 3) x) (/.f64 1 x)) (/.f64 y x)))
(-.f64 (fma.f64 (/.f64 -1/6 x) (pow.f64 y 3) (fma.f64 1/2 (/.f64 y (/.f64 x y)) (/.f64 1 x))) (/.f64 y x))
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(-.f64 (+.f64 1 (/.f64 (exp.f64 y) x)) 1)
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) (pow.f64 x -1))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(*.f64 (/.f64 (exp.f64 y) x) 1)
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(*.f64 1 (/.f64 (exp.f64 y) x))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(*.f64 (cbrt.f64 (/.f64 (exp.f64 y) x)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 y) x)) 2))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 y) x)) 2) (cbrt.f64 (/.f64 (exp.f64 y) x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) (*.f64 (cbrt.f64 (exp.f64 y)) (pow.f64 x -1)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(*.f64 (sqrt.f64 (/.f64 (exp.f64 y) x)) (sqrt.f64 (/.f64 (exp.f64 y) x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(*.f64 (sqrt.f64 (exp.f64 y)) (*.f64 (sqrt.f64 (exp.f64 y)) (pow.f64 x -1)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(*.f64 (neg.f64 (exp.f64 y)) (/.f64 1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(*.f64 (pow.f64 x -1) (exp.f64 y))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 y)) x))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(*.f64 (/.f64 (sqrt.f64 (exp.f64 y)) 1) (/.f64 (sqrt.f64 (exp.f64 y)) x))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (exp.f64 y) (cbrt.f64 x)))
(/.f64 (/.f64 (exp.f64 y) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (exp.f64 y) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(/.f64 (exp.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (exp.f64 y) x)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) (cbrt.f64 (*.f64 x x))))
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (/.f64 (exp.f64 y) x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 y)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (exp.f64 y)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (exp.f64 y) (cbrt.f64 x)))
(/.f64 (/.f64 (exp.f64 y) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (exp.f64 y) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(/.f64 (exp.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (exp.f64 y) (sqrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (exp.f64 y)) (sqrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(pow.f64 (/.f64 (exp.f64 y) x) 1)
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(pow.f64 (pow.f64 (/.f64 (exp.f64 y) x) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 y) x)) 3)
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 y) x)) 2)
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(pow.f64 (*.f64 x (exp.f64 y)) -1)
(/.f64 (exp.f64 (neg.f64 y)) x)
(neg.f64 (/.f64 (exp.f64 y) (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 y) x) 2))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(log.f64 (exp.f64 (/.f64 (exp.f64 y) x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 y) x) 3))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 y) x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 y) x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)
(exp.f64 (-.f64 y (log.f64 x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 y) x) 1))
(+.f64 (/.f64 (exp.f64 y) x) 0)
(/.f64 (exp.f64 y) x)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series8.0ms (0.2%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 (-.f64 1 y) x)
2.0ms
x
@0
(/.f64 (-.f64 1 y) x)
1.0ms
y
@inf
(/.f64 (-.f64 1 y) x)
1.0ms
y
@0
(/.f64 (-.f64 1 y) x)
1.0ms
y
@-inf
(/.f64 (-.f64 1 y) x)
Compiler

Compiled 226 to 170 computations (24.8% saved)

rewrite43.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
756×pow1_binary64
706×add-log-exp_binary64
706×log1p-expm1-u_binary64
706×expm1-log1p-u_binary64
692×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11307
217977
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 1 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (*.f64 (cbrt.f64 (-.f64 1 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 y) x)) (sqrt.f64 (/.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 y)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) 1) (/.f64 (sqrt.f64 (-.f64 1 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 y) x)))))))

simplify38.0ms (0.7%)

Algorithm
egg-herbie
Rules
389×log-prod_binary64
368×log-div_binary64
344×div-sub_binary64
243×fma-neg_binary64
214×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087331
1218331
2775331
34143331
Stop Event
node limit
Counts
45 → 42
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
(*.f64 1 (/.f64 (-.f64 1 y) x))
(*.f64 (-.f64 1 y) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 y) x) 1)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 y) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (*.f64 (cbrt.f64 (-.f64 1 y)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 y) x)) (sqrt.f64 (/.f64 (-.f64 1 y) x)))
(*.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) (/.f64 1 x)))
(*.f64 (neg.f64 (-.f64 1 y)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (-.f64 1 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 y)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) 1) (/.f64 (sqrt.f64 (-.f64 1 y)) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 y) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 y) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 y)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 y) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 y)) (sqrt.f64 x)))
(pow.f64 (/.f64 (-.f64 1 y) x) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 y) x)) 2)
(pow.f64 (/.f64 x (-.f64 1 y)) -1)
(neg.f64 (/.f64 (-.f64 1 y) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 y) x)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 y) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 y) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 y) x)))
Outputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(-.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 (-.f64 1 y) x)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
(/.f64 (-.f64 1 y) x)
(*.f64 1 (/.f64 (-.f64 1 y) x))
(/.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) (/.f64 1 x))
(/.f64 (-.f64 1 y) x)
(*.f64 (/.f64 (-.f64 1 y) x) 1)
(/.f64 (-.f64 1 y) x)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2))
(/.f64 (-.f64 1 y) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 y) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (*.f64 (cbrt.f64 (-.f64 1 y)) (/.f64 1 x)))
(/.f64 (-.f64 1 y) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 y) x)) (sqrt.f64 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 y) x)
(*.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) (/.f64 1 x)))
(/.f64 (-.f64 1 y) x)
(*.f64 (neg.f64 (-.f64 1 y)) (/.f64 1 (neg.f64 x)))
(/.f64 (-.f64 1 y) x)
(*.f64 (/.f64 1 x) (-.f64 1 y))
(/.f64 (-.f64 1 y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 y)) x))
(/.f64 (-.f64 1 y) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) 1) (/.f64 (sqrt.f64 (-.f64 1 y)) x))
(/.f64 (-.f64 1 y) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 y) (cbrt.f64 x)))
(/.f64 (-.f64 1 y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 y) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (cbrt.f64 (/.f64 (-.f64 1 y) x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (-.f64 1 y) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 y)) (cbrt.f64 x)))
(/.f64 (-.f64 1 y) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 y) (sqrt.f64 x)))
(/.f64 (-.f64 1 y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 y)) (sqrt.f64 x)))
(/.f64 (-.f64 1 y) x)
(pow.f64 (/.f64 (-.f64 1 y) x) 1)
(/.f64 (-.f64 1 y) x)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 3) 1/3)
(/.f64 (-.f64 1 y) x)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)
(/.f64 (-.f64 1 y) x)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 y) x)) 2)
(/.f64 (-.f64 1 y) x)
(pow.f64 (/.f64 x (-.f64 1 y)) -1)
(/.f64 (-.f64 1 y) x)
(neg.f64 (/.f64 (-.f64 1 y) (neg.f64 x)))
(/.f64 (-.f64 1 y) x)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 2))
(/.f64 (-.f64 1 y) x)
(log.f64 (exp.f64 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 y) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 3))
(/.f64 (-.f64 1 y) x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)))
(/.f64 (-.f64 1 y) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 y) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 y) x)
(exp.f64 (log.f64 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 y) x)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (pow.f64 (/.f64 x y) x) x)
5.6b
(pow.f64 (/.f64 x y) x)
Compiler

Compiled 19 to 5 computations (73.7% saved)

series82.0ms (1.6%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
29.0ms
y
@0
(pow.f64 (/.f64 x y) x)
21.0ms
y
@-inf
(pow.f64 (/.f64 x y) x)
8.0ms
y
@-inf
(/.f64 (pow.f64 (/.f64 x y) x) x)
8.0ms
y
@0
(/.f64 (pow.f64 (/.f64 x y) x) x)
7.0ms
y
@inf
(pow.f64 (/.f64 x y) x)
Compiler

Compiled 2634 to 2031 computations (22.9% saved)

rewrite48.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
765×pow1_binary64
711×add-log-exp_binary64
711×log1p-expm1-u_binary64
711×expm1-log1p-u_binary64
693×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
113417
2188817
Stop Event
node limit
Counts
2 → 47
Calls
Call 1
Inputs
(pow.f64 (/.f64 x y) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (cbrt.f64 (pow.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (sqrt.f64 (pow.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x x) (pow.f64 (/.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 x) (pow.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) x) (pow.f64 (cbrt.f64 (/.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) x) (pow.f64 (sqrt.f64 (/.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x (log.f64 (/.f64 x y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 x y) x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) x) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (/.f64 x y) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2) (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (/.f64 x y) x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (pow.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) 1) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) 1) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (/.f64 x y) x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (pow.f64 (/.f64 x y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (/.f64 x y) x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))))))

simplify59.0ms (1.1%)

Algorithm
egg-herbie
Rules
496×log-div_binary64
447×unswap-sqr_binary64
389×associate-/l*_binary64
382×fma-neg_binary64
316×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01661243
13791196
213521131
374071131
Stop Event
node limit
Counts
95 → 95
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(/.f64 1 x)
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (pow.f64 x 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x))))))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(-.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 1)
(*.f64 (pow.f64 (/.f64 x y) x) 1)
(*.f64 1 (pow.f64 (/.f64 x y) x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (cbrt.f64 (pow.f64 (/.f64 x y) x)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (sqrt.f64 (pow.f64 (/.f64 x y) x)))
(*.f64 (pow.f64 x x) (pow.f64 (/.f64 1 y) x))
(*.f64 (pow.f64 1 x) (pow.f64 (/.f64 x y) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) x) (pow.f64 (cbrt.f64 (/.f64 x y)) x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) x) (pow.f64 (sqrt.f64 (/.f64 x y)) x))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x))
(log.f64 (exp.f64 (pow.f64 (/.f64 x y) x)))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) x)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) x)))
(exp.f64 (*.f64 x (log.f64 (/.f64 x y))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 x y) x) x)) 1)
(*.f64 (pow.f64 (/.f64 x y) x) (pow.f64 x -1))
(*.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 1)
(*.f64 1 (/.f64 (pow.f64 (/.f64 x y) x) x))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2) (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (pow.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(*.f64 (neg.f64 (pow.f64 (/.f64 x y) x)) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 x -1) (pow.f64 (/.f64 x y) x))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (pow.f64 x -1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) 1) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) x))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) 1) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (/.f64 x y) x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (sqrt.f64 x)))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2)
(pow.f64 (/.f64 x (pow.f64 (/.f64 x y) x)) -1)
(neg.f64 (/.f64 (pow.f64 (/.f64 x y) x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
Outputs
1
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))))
(fma.f64 x (log.f64 (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)))))
(+.f64 1 (fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (*.f64 (*.f64 1/2 (*.f64 x x)) (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2))))
(+.f64 (fma.f64 x (log.f64 (/.f64 x y)) 1) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 1/2 (*.f64 x x))))
(fma.f64 x (log.f64 (/.f64 x y)) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 x (*.f64 x 1/2)) 1))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))))
(fma.f64 1/6 (*.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 1 (fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (*.f64 (*.f64 1/2 (*.f64 x x)) (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2)))))
(+.f64 (fma.f64 x (log.f64 (/.f64 x y)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 1/2 (*.f64 x x)))) (fma.f64 1/6 (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (pow.f64 x 3)) 1))
(fma.f64 1/6 (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (pow.f64 x 3)) (fma.f64 x (log.f64 (/.f64 x y)) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 x (*.f64 x 1/2)) 1)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))
(pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))
(pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))
(pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x))
(pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))
(pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x)
(/.f64 1 x)
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 x) (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x)))))
(+.f64 (neg.f64 (log.f64 y)) (+.f64 (+.f64 (log.f64 x) (/.f64 1 x)) (*.f64 1/2 (*.f64 x (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2)))))
(+.f64 (+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x)) (*.f64 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2))))
(+.f64 (log.f64 (/.f64 x y)) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 x 1/2) (/.f64 1 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (pow.f64 x 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x))))))
(fma.f64 1/6 (*.f64 (*.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (+.f64 (log.f64 x) (/.f64 1 x)) (*.f64 1/2 (*.f64 x (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2))))))
(fma.f64 1/6 (*.f64 (*.f64 x x) (pow.f64 (log.f64 (/.f64 x y)) 3)) (+.f64 (+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x)) (*.f64 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)))))
(fma.f64 (*.f64 x x) (*.f64 1/6 (pow.f64 (log.f64 (/.f64 x y)) 3)) (+.f64 (log.f64 (/.f64 x y)) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 x 1/2) (/.f64 1 x))))
(fma.f64 x (*.f64 x (*.f64 1/6 (pow.f64 (log.f64 (/.f64 x y)) 3))) (+.f64 (log.f64 (/.f64 x y)) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 x 1/2) (/.f64 1 x))))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(/.f64 (pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(/.f64 (pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(/.f64 (pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(/.f64 (pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x) x)
(-.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 1)
(pow.f64 (/.f64 x y) x)
(*.f64 (pow.f64 (/.f64 x y) x) 1)
(pow.f64 (/.f64 x y) x)
(*.f64 1 (pow.f64 (/.f64 x y) x))
(pow.f64 (/.f64 x y) x)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (cbrt.f64 (pow.f64 (/.f64 x y) x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (sqrt.f64 (pow.f64 (/.f64 x y) x)))
(pow.f64 (/.f64 x y) x)
(*.f64 (pow.f64 x x) (pow.f64 (/.f64 1 y) x))
(*.f64 (pow.f64 1 x) (pow.f64 (/.f64 x y) x))
(pow.f64 (/.f64 x y) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) x) (pow.f64 (cbrt.f64 (/.f64 x y)) x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) x) (pow.f64 (sqrt.f64 (/.f64 x y)) x))
(pow.f64 (sqrt.f64 (/.f64 x y)) (*.f64 2 x))
(pow.f64 (sqrt.f64 (/.f64 x y)) (*.f64 x 2))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x))
(log.f64 (exp.f64 (pow.f64 (/.f64 x y) x)))
(pow.f64 (/.f64 x y) x)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3))
(pow.f64 (/.f64 x y) x)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) x)))
(pow.f64 (/.f64 x y) x)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) x)))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 x (log.f64 (/.f64 x y))))
(pow.f64 (/.f64 x y) x)
(-.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 x y) x) x)) 1)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (pow.f64 (/.f64 x y) x) (pow.f64 x -1))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 1)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 1 (/.f64 (pow.f64 (/.f64 x y) x) x))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2) (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (pow.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) x))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (neg.f64 (pow.f64 (/.f64 x y) x)) (/.f64 1 (neg.f64 x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (pow.f64 x -1) (pow.f64 (/.f64 x y) x))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (pow.f64 x -1)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) 1) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) x))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) x))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) 1) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) x))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (/.f64 x y) x) (cbrt.f64 x)))
(/.f64 (/.f64 (pow.f64 (/.f64 x y) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (pow.f64 (/.f64 x y) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (/.f64 x y) x) (cbrt.f64 x)))
(/.f64 (/.f64 (pow.f64 (/.f64 x y) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (pow.f64 (/.f64 x y) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) x)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) x))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 1)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3) 1/3)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 3)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)) 2)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(pow.f64 (/.f64 x (pow.f64 (/.f64 x y) x)) -1)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(neg.f64 (/.f64 (pow.f64 (/.f64 x y) x) (neg.f64 x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 2))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(log.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)
(exp.f64 (log.f64 (/.f64 (pow.f64 (/.f64 x y) x) x)))
(/.f64 (pow.f64 (/.f64 x y) x) x)

eval41.0ms (0.8%)

Compiler

Compiled 2433 to 1150 computations (52.7% saved)

prune29.0ms (0.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1892191
Fresh000
Picked011
Done044
Total1897196
Error
0.0b
Counts
196 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
10.5b
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
38.1b
(/.f64 (pow.f64 (/.f64 x y) x) x)
19.5b
(/.f64 (-.f64 1 y) x)
10.8b
(/.f64 (exp.f64 (neg.f64 y)) x)
8.8b
(/.f64 1 x)
19.5b
(-.f64 (/.f64 1 x) (/.f64 y x))
36.1b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
Compiler

Compiled 59 to 40 computations (32.2% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 1 y) x)
0.0b
(+.f64 1 (/.f64 (-.f64 1 y) x))
1.6b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
Compiler

Compiled 29 to 20 computations (31% saved)

series12.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

Compiled 500 to 383 computations (23.4% saved)

rewrite68.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
656×prod-diff_binary64
440×fma-def_binary64
412×log-prod_binary64
246×pow-prod-down_binary64
234×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
119117
2295117
Stop Event
node limit
Counts
2 → 212
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
Outputs
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(-.f64 1 y) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 1 y) x)))) 1)))))

simplify89.0ms (1.7%)

Algorithm
egg-herbie
Rules
388×div-sub_binary64
234×sub-neg_binary64
179×exp-prod_binary64
168×cube-prod_binary64
152×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04784242
111983685
242563397
Stop Event
node limit
Counts
260 → 269
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(/.f64 (-.f64 1 y) x)
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
1
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
1
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 (-.f64 1 y) x) -1))
(+.f64 1 (*.f64 (+.f64 (/.f64 (-.f64 1 y) x) -1) 1))
(+.f64 (/.f64 (-.f64 1 y) x) 0)
(+.f64 (/.f64 (-.f64 1 y) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) (/.f64 y x)))
(+.f64 (/.f64 (-.f64 1 y) x) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 y x)))
(+.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) -1)
(+.f64 0 (/.f64 (-.f64 1 y) x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(+.f64 -1 (+.f64 1 (/.f64 (-.f64 1 y) x)))
(+.f64 (+.f64 (/.f64 (-.f64 1 y) x) -1) 1)
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 y x) 1))) (fma.f64 (neg.f64 (/.f64 y x)) 1 (*.f64 (/.f64 y x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 y x) 1))) (fma.f64 (neg.f64 (/.f64 y x)) 1 (*.f64 (/.f64 y x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 y x) 1))) (fma.f64 (neg.f64 (/.f64 y x)) 1 (*.f64 (/.f64 y x) 1)))
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1 x) y))) (fma.f64 (neg.f64 (/.f64 1 x)) y (*.f64 (/.f64 1 x) y)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 1 x) y))) (fma.f64 (neg.f64 (/.f64 1 x)) y (*.f64 (/.f64 1 x) y)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 1 x) y))) (fma.f64 (neg.f64 (/.f64 1 x)) y (*.f64 (/.f64 1 x) y)))
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) x)) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) 1))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) x)) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) x)) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) 1))))
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2)))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) -2) (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2)))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) -2) (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2)))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) -2) (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))))
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)))))
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(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x -1/2)))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) (pow.f64 x -1/2) (*.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x -1/2))))
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 y) x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (*.f64 (cbrt.f64 (-.f64 1 y)) (/.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 1 y) x)) (sqrt.f64 (/.f64 (-.f64 1 y) x)) 1)
(fma.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) (/.f64 1 x)) 1)
(fma.f64 (neg.f64 (-.f64 1 y)) (/.f64 1 (neg.f64 x)) 1)
(fma.f64 (/.f64 1 x) (-.f64 1 y) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 1 y) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 2) (+.f64 (/.f64 (-.f64 1 y) x) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (-.f64 1 y) x)))) (/.f64 1 (+.f64 (/.f64 (-.f64 1 y) x) 2)) 1)
(fma.f64 (+.f64 (/.f64 (-.f64 1 y) x) 2) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 1 y) x) 2)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 1 y) x) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (-.f64 (/.f64 y x) 1)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 y) x) 2)) (sqrt.f64 (+.f64 (/.f64 (-.f64 1 y) x) 2)) -1)
(fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (-.f64 (/.f64 y x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (-.f64 1 y) (cbrt.f64 x)) 1)
(fma.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 y) (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 y)) x) 1)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) 1) (/.f64 (sqrt.f64 (-.f64 1 y)) x) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 y) x)) 1)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 y)) (cbrt.f64 x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 y)) (sqrt.f64 x)) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 y) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 1 y) x)))) 1)
Outputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(/.f64 (-.f64 1 y) x)
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
1
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
1
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(+.f64 1 (+.f64 (/.f64 (-.f64 1 y) x) -1))
(/.f64 (-.f64 1 y) x)
(+.f64 1 (*.f64 (+.f64 (/.f64 (-.f64 1 y) x) -1) 1))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 (-.f64 1 y) x) 0)
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 (-.f64 1 y) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 (-.f64 1 y) x) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 y x)))
(+.f64 (/.f64 (-.f64 1 y) x) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 x)) (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 y x)))
(+.f64 (/.f64 (-.f64 1 y) x) (-.f64 (/.f64 y x) (*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) -1)
(/.f64 (-.f64 1 y) x)
(+.f64 0 (/.f64 (-.f64 1 y) x))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 -1 (+.f64 1 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (+.f64 (/.f64 (-.f64 1 y) x) -1) 1)
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 y x) 1))) (fma.f64 (neg.f64 (/.f64 y x)) 1 (*.f64 (/.f64 y x) 1)))
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 y x) 1))) (fma.f64 (neg.f64 (/.f64 y x)) 1 (*.f64 (/.f64 y x) 1)))
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 y x) 1))) (fma.f64 (neg.f64 (/.f64 y x)) 1 (*.f64 (/.f64 y x) 1)))
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1 x) y))) (fma.f64 (neg.f64 (/.f64 1 x)) y (*.f64 (/.f64 1 x) y)))
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 1 x) y))) (fma.f64 (neg.f64 (/.f64 1 x)) y (*.f64 (/.f64 1 x) y)))
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 1 x) y))) (fma.f64 (neg.f64 (/.f64 1 x)) y (*.f64 (/.f64 1 x) y)))
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) x)) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) 1))))
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) x)) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) 1))))
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) x)) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) 1))))
(/.f64 (-.f64 1 y) x)
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2)))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) -2) (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))))
(+.f64 (fma.f64 1 (/.f64 1 x) (*.f64 (/.f64 y (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) -2)))) (fma.f64 (/.f64 (neg.f64 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2) (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))))
(+.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))) (*.f64 0 (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))))
(-.f64 (/.f64 1 x) (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2)))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) -2) (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))))
(+.f64 (fma.f64 1 (/.f64 1 x) (*.f64 (/.f64 y (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) -2)))) (fma.f64 (/.f64 (neg.f64 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2) (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))))
(+.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))) (*.f64 0 (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))))
(-.f64 (/.f64 1 x) (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2)))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) -2) (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))))
(+.f64 (fma.f64 1 (/.f64 1 x) (*.f64 (/.f64 y (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) -2)))) (fma.f64 (/.f64 (neg.f64 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2) (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))))
(+.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))) (*.f64 0 (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))))
(-.f64 (/.f64 1 x) (*.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2)))
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 x) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (neg.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (/.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (*.f64 0 (/.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (-.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(-.f64 (/.f64 1 x) (pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) 3))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 x) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (neg.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (/.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)))))
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(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 1 y) x) (+.f64 (/.f64 (-.f64 1 y) x) -1) 1) (+.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 3))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 3)) (fma.f64 (/.f64 (-.f64 1 y) x) (+.f64 -1 (/.f64 (-.f64 1 y) x)) 1))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (-.f64 1 y) x)) (-.f64 1 (pow.f64 (/.f64 x (-.f64 1 y)) -2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (-.f64 1 y)) -2)) (-.f64 1 (/.f64 (-.f64 1 y) x)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 1 y) x) 2)) (+.f64 -1 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 2)) (+.f64 1 (/.f64 (+.f64 -1 y) x)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 3)) (fma.f64 (/.f64 (-.f64 1 y) x) (+.f64 (/.f64 (-.f64 1 y) x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 3)) (fma.f64 (/.f64 (-.f64 1 y) x) (+.f64 -1 (/.f64 (-.f64 1 y) x)) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 3)) (+.f64 (pow.f64 (/.f64 x (-.f64 1 y)) -2) (-.f64 1 (/.f64 (-.f64 1 y) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 3)) (fma.f64 (/.f64 (-.f64 1 y) x) (+.f64 -1 (/.f64 (-.f64 1 y) x)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (-.f64 1 y)) -2)) (-.f64 1 (/.f64 (-.f64 1 y) x)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 1 y) x) 2)) (+.f64 -1 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 2)) (+.f64 1 (/.f64 (+.f64 -1 y) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 3))) (neg.f64 (fma.f64 (/.f64 (-.f64 1 y) x) (+.f64 (/.f64 (-.f64 1 y) x) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 3)) (fma.f64 (/.f64 (-.f64 1 y) x) (+.f64 -1 (/.f64 (-.f64 1 y) x)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x (-.f64 1 y)) -2))) (neg.f64 (-.f64 1 (/.f64 (-.f64 1 y) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (-.f64 1 y)) -2)) (-.f64 1 (/.f64 (-.f64 1 y) x)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 1 y) x) 2)) (+.f64 -1 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 2)) (+.f64 1 (/.f64 (+.f64 -1 y) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 1 y)) -2) 1) (+.f64 (/.f64 (-.f64 1 y) x) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (-.f64 1 y)) -2)) (-.f64 1 (/.f64 (-.f64 1 y) x)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 1 y) x) 2)) (+.f64 -1 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 2)) (+.f64 1 (/.f64 (+.f64 -1 y) x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 3)) 1) (fma.f64 (/.f64 (-.f64 1 y) x) (+.f64 (/.f64 (-.f64 1 y) x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 3)) (fma.f64 (/.f64 (-.f64 1 y) x) (+.f64 -1 (/.f64 (-.f64 1 y) x)) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 x (-.f64 1 y)) -2)) 1) (-.f64 1 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (-.f64 1 y)) -2)) (-.f64 1 (/.f64 (-.f64 1 y) x)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 1 y) x) 2)) (+.f64 -1 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 2)) (+.f64 1 (/.f64 (+.f64 -1 y) x)))
(pow.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 2) 1/2)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 y) x))) 3)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 y) x))) 2)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 3) 1/3)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 1 y) x) (+.f64 (/.f64 (-.f64 1 y) x) -1) 1) (+.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 3))) -1)
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 3)) (fma.f64 (/.f64 (-.f64 1 y) x) (+.f64 -1 (/.f64 (-.f64 1 y) x)) 1))
(pow.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 1 y) x)) (-.f64 1 (pow.f64 (/.f64 x (-.f64 1 y)) -2))) -1)
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (-.f64 1 y)) -2)) (-.f64 1 (/.f64 (-.f64 1 y) x)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 1 y) x) 2)) (+.f64 -1 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 y) x) 2)) (+.f64 1 (/.f64 (+.f64 -1 y) x)))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 2))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 1 y) x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 3))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(expm1.f64 (log.f64 (+.f64 (/.f64 (-.f64 1 y) x) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 1 y) x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(exp.f64 (log1p.f64 (/.f64 (-.f64 1 y) x)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 1 y) x)) 1))
(exp.f64 (log1p.f64 (/.f64 (-.f64 1 y) x)))
(fma.f64 1 (/.f64 (-.f64 1 y) x) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 1 (/.f64 1 x) (neg.f64 (-.f64 (/.f64 y x) 1)))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 1 (+.f64 (/.f64 (-.f64 1 y) x) 2) -1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (-.f64 1 y) (/.f64 1 x) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (/.f64 (-.f64 1 y) x) 1 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 y) x)) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (*.f64 (cbrt.f64 (-.f64 1 y)) (/.f64 1 x)) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 1 y) x)) (sqrt.f64 (/.f64 (-.f64 1 y) x)) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) (/.f64 1 x)) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (neg.f64 (-.f64 1 y)) (/.f64 1 (neg.f64 x)) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (/.f64 1 x) (-.f64 1 y) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 1 y) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 2) (+.f64 (/.f64 (-.f64 1 y) x) 2))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 1 y) x)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 2) (+.f64 (/.f64 (-.f64 1 y) x) 2))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (-.f64 1 y) x)))) (/.f64 1 (+.f64 (/.f64 (-.f64 1 y) x) 2)) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (-.f64 1 y) x)))) (+.f64 (/.f64 (-.f64 1 y) x) 2)))
(fma.f64 (+.f64 (/.f64 (-.f64 1 y) x) 2) 1 -1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 1 y) x) 2)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 1 y) x) 2)) -1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (-.f64 (/.f64 y x) 1)))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 y) x) 2)) (sqrt.f64 (+.f64 (/.f64 (-.f64 1 y) x) 2)) -1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (-.f64 (/.f64 y x) 1)))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (-.f64 1 y) (cbrt.f64 x)) 1)
(fma.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 y) (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 y)) x) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) 1) (/.f64 (sqrt.f64 (-.f64 1 y)) x) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 y) x)) 1)
(fma.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (pow.f64 (cbrt.f64 x) 2)) 1)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 y)) (cbrt.f64 x)) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 y)) (sqrt.f64 x)) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 y) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 1 y) x)))) 1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)))) (expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 1 y) x)) 1/2)) 1)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 9 computations (50% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(-.f64 (/.f64 1 x) (/.f64 y x))
1.0ms
x
@inf
(-.f64 (/.f64 1 x) (/.f64 y x))
1.0ms
y
@inf
(-.f64 (/.f64 1 x) (/.f64 y x))
1.0ms
y
@-inf
(-.f64 (/.f64 1 x) (/.f64 y x))
1.0ms
y
@0
(-.f64 (/.f64 1 x) (/.f64 y x))
Compiler

Compiled 234 to 178 computations (23.9% saved)

rewrite47.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
949×pow1_binary64
889×add-log-exp_binary64
889×log1p-expm1-u_binary64
889×expm1-log1p-u_binary64
82×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11587
224027
Stop Event
node limit
Counts
1 → 56
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 y x))
Outputs
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egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x (*.f64 x y))) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3))) (neg.f64 (+.f64 (pow.f64 x -2) (*.f64 (/.f64 y x) (*.f64 (/.f64 1 x) (+.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2))) (neg.f64 (*.f64 (/.f64 1 x) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (*.f64 (neg.f64 x) y)) (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (*.f64 x (neg.f64 y))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (neg.f64 y) x) 3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x)) (*.f64 (/.f64 1 x) (/.f64 (neg.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (-.f64 (/.f64 1 x) (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (neg.f64 y) x))))))

simplify63.0ms (1.2%)

Algorithm
egg-herbie
Rules
930×fma-neg_binary64
536×fma-def_binary64
372×associate-/r/_binary64
353×associate-/l/_binary64
273×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0163838
1478768
21867765
37788765
Stop Event
node limit
Counts
80 → 66
Calls
Call 1
Inputs
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) x))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (neg.f64 y) x) 1))
(+.f64 (/.f64 (-.f64 1 y) x) (fma.f64 (/.f64 (neg.f64 y) x) 1 (/.f64 y x)))
(+.f64 (/.f64 (-.f64 1 y) x) (fma.f64 (neg.f64 (/.f64 1 x)) y (/.f64 y x)))
(+.f64 (/.f64 (-.f64 1 y) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (/.f64 y x)))
(+.f64 (/.f64 (-.f64 1 y) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) (/.f64 y x)))
(+.f64 (/.f64 (neg.f64 y) x) (/.f64 1 x))
(*.f64 1 (/.f64 (-.f64 1 y) x))
(*.f64 (/.f64 1 x) (-.f64 1 y))
(*.f64 (/.f64 (-.f64 1 y) x) 1)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 y) x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 y) x)) (sqrt.f64 (/.f64 (-.f64 1 y) x)))
(*.f64 (-.f64 x (*.f64 x y)) (pow.f64 x -2))
(*.f64 (-.f64 1 y) (/.f64 1 x))
(*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (*.f64 (/.f64 y x) (*.f64 (/.f64 1 x) (+.f64 1 y))))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 y))))
(*.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 y x))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 y x))))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x y))))
(/.f64 1 (/.f64 x (-.f64 1 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (/.f64 y x) (*.f64 (/.f64 1 x) (+.f64 1 y)))) (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3))))
(/.f64 1 (/.f64 (*.f64 (/.f64 1 x) (+.f64 1 y)) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2))))
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x))
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3)) (+.f64 (pow.f64 x -2) (*.f64 (/.f64 y x) (*.f64 (/.f64 1 x) (+.f64 1 y)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (*.f64 (/.f64 1 x) (+.f64 1 y)))
(/.f64 (neg.f64 (-.f64 x (*.f64 x y))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 1 y)) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3))) (neg.f64 (+.f64 (pow.f64 x -2) (*.f64 (/.f64 y x) (*.f64 (/.f64 1 x) (+.f64 1 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2))) (neg.f64 (*.f64 (/.f64 1 x) (+.f64 1 y))))
(/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))
(/.f64 (-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 x y)))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (neg.f64 x) y)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 x (neg.f64 y))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (-.f64 -1 (neg.f64 y)) (neg.f64 x))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (neg.f64 y) x) 3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x)) (*.f64 (/.f64 1 x) (/.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (-.f64 (/.f64 1 x) (/.f64 (neg.f64 y) x)))
(/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x)
(/.f64 (/.f64 (-.f64 1 y) 1) x)
(/.f64 (/.f64 (-.f64 1 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (-.f64 1 y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 (-.f64 1 y) x) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 y) x)) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 y) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 y) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 y) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 y) x)))
(fma.f64 1 (/.f64 1 x) (/.f64 (neg.f64 y) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (neg.f64 y) x))
Outputs
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (-.f64 1 y) x)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (neg.f64 y) x) 1))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 (-.f64 1 y) x) (fma.f64 (/.f64 (neg.f64 y) x) 1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 (-.f64 1 y) x) (fma.f64 (neg.f64 (/.f64 1 x)) y (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 (-.f64 1 y) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 (-.f64 1 y) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 (neg.f64 y) x) (/.f64 1 x))
(/.f64 (-.f64 1 y) x)
(*.f64 1 (/.f64 (-.f64 1 y) x))
(/.f64 (-.f64 1 y) x)
(*.f64 (/.f64 1 x) (-.f64 1 y))
(/.f64 (-.f64 1 y) x)
(*.f64 (/.f64 (-.f64 1 y) x) 1)
(/.f64 (-.f64 1 y) x)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2))
(/.f64 (-.f64 1 y) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 y) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 y) x)) (sqrt.f64 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 y) x)
(*.f64 (-.f64 x (*.f64 x y)) (pow.f64 x -2))
(/.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) (/.f64 1 x))
(/.f64 (-.f64 1 y) x)
(*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (*.f64 (/.f64 y x) (*.f64 (/.f64 1 x) (+.f64 1 y))))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3)) (fma.f64 (/.f64 y x) (/.f64 (+.f64 1 y) x) (pow.f64 x -2)))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 y))))
(*.f64 x (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (+.f64 1 y)))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (/.f64 x (+.f64 1 y)))
(*.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 y x))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 y x))))
(/.f64 (-.f64 1 y) x)
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x y))))
(/.f64 (-.f64 1 y) x)
(/.f64 1 (/.f64 x (-.f64 1 y)))
(/.f64 (-.f64 1 y) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (/.f64 y x) (*.f64 (/.f64 1 x) (+.f64 1 y)))) (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3))))
(*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (*.f64 (/.f64 y x) (*.f64 (/.f64 1 x) (+.f64 1 y))))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3)) (fma.f64 (/.f64 y x) (/.f64 (+.f64 1 y) x) (pow.f64 x -2)))
(/.f64 1 (/.f64 (*.f64 (/.f64 1 x) (+.f64 1 y)) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 y))))
(*.f64 x (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (+.f64 1 y)))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (/.f64 x (+.f64 1 y)))
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x))
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3)) (+.f64 (pow.f64 x -2) (*.f64 (/.f64 y x) (*.f64 (/.f64 1 x) (+.f64 1 y)))))
(*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (*.f64 (/.f64 y x) (*.f64 (/.f64 1 x) (+.f64 1 y))))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3)) (fma.f64 (/.f64 y x) (/.f64 (+.f64 1 y) x) (pow.f64 x -2)))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (*.f64 (/.f64 1 x) (+.f64 1 y)))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 y))))
(*.f64 x (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (+.f64 1 y)))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (/.f64 x (+.f64 1 y)))
(/.f64 (neg.f64 (-.f64 x (*.f64 x y))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 1 y) x)
(/.f64 (neg.f64 (-.f64 1 y)) (neg.f64 x))
(/.f64 (-.f64 1 y) x)
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3))) (neg.f64 (+.f64 (pow.f64 x -2) (*.f64 (/.f64 y x) (*.f64 (/.f64 1 x) (+.f64 1 y))))))
(*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (*.f64 (/.f64 y x) (*.f64 (/.f64 1 x) (+.f64 1 y))))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3)) (fma.f64 (/.f64 y x) (/.f64 (+.f64 1 y) x) (pow.f64 x -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2))) (neg.f64 (*.f64 (/.f64 1 x) (+.f64 1 y))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 y))))
(*.f64 x (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (+.f64 1 y)))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (/.f64 x (+.f64 1 y)))
(/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 x y)))
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 (neg.f64 x) (*.f64 (neg.f64 x) y)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 (neg.f64 x) (*.f64 x (neg.f64 y))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 -1 (neg.f64 y)) (neg.f64 x))
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (neg.f64 y) x) 3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x)) (*.f64 (/.f64 1 x) (/.f64 (neg.f64 y) x)))))
(*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (*.f64 (/.f64 y x) (*.f64 (/.f64 1 x) (+.f64 1 y))))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 y x) 3)) (fma.f64 (/.f64 y x) (/.f64 (+.f64 1 y) x) (pow.f64 x -2)))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (-.f64 (/.f64 1 x) (/.f64 (neg.f64 y) x)))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 y))))
(*.f64 x (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (+.f64 1 y)))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 y x) 2)) (/.f64 x (+.f64 1 y)))
(/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (/.f64 (-.f64 1 y) 1) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (/.f64 (-.f64 1 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (-.f64 1 y) x)
(/.f64 (/.f64 (-.f64 1 y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 1 y) x)
(pow.f64 (/.f64 (-.f64 1 y) x) 1)
(/.f64 (-.f64 1 y) x)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 3) 1/3)
(/.f64 (-.f64 1 y) x)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)
(/.f64 (-.f64 1 y) x)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 y) x)) 2)
(/.f64 (-.f64 1 y) x)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 2))
(/.f64 (-.f64 1 y) x)
(log.f64 (exp.f64 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 y) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 y) x))))
(/.f64 (-.f64 1 y) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 3))
(/.f64 (-.f64 1 y) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 y) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 y) x)
(exp.f64 (log.f64 (/.f64 (-.f64 1 y) x)))
(/.f64 (-.f64 1 y) x)
(fma.f64 1 (/.f64 1 x) (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 1 y) x)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)) (/.f64 y x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 1 y) x)

eval129.0ms (2.4%)

Compiler

Compiled 6507 to 4270 computations (34.4% saved)

prune94.0ms (1.8%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3761377
Fresh000
Picked011
Done156
Total3777384
Error
0.0b
Counts
384 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
10.5b
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
38.1b
(/.f64 (pow.f64 (/.f64 x y) x) x)
19.5b
(/.f64 (-.f64 1 y) x)
10.8b
(/.f64 (exp.f64 (neg.f64 y)) x)
8.8b
(/.f64 1 x)
19.5b
(-.f64 (/.f64 1 x) (/.f64 y x))
53.0b
(-.f64 1 1)
Compiler

Compiled 53 to 36 computations (32.1% saved)

localize5.0ms (0.1%)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune6.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done066
Total077
Error
0.0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
10.5b
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
38.1b
(/.f64 (pow.f64 (/.f64 x y) x) x)
19.5b
(/.f64 (-.f64 1 y) x)
10.8b
(/.f64 (exp.f64 (neg.f64 y)) x)
8.8b
(/.f64 1 x)
19.5b
(-.f64 (/.f64 1 x) (/.f64 y x))
53.0b
(-.f64 1 1)
Compiler

Compiled 53 to 36 computations (32.1% saved)

regimes158.0ms (3%)

Counts
10 → 5
Calls
Call 1
Inputs
(-.f64 1 1)
(/.f64 1 x)
(/.f64 (-.f64 1 y) x)
(-.f64 (/.f64 1 x) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x)
Outputs
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 x)
Calls

4 calls:

44.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
44.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
31.0ms
x
31.0ms
y
Results
ErrorSegmentsBranch
0.0b3x
3.4b3y
0.0b5(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
0.0b5(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Compiler

Compiled 104 to 58 computations (44.2% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.912692791515921e-178
1.853538495957885e-173
0.0ms
0.0
5.799709180209266e-306
0.0ms
-9.738593804654536e-280
-1.1307565834445945e-282
0.0ms
-11343.284307162587
-1583.8127523105907
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes87.0ms (1.7%)

Counts
9 → 3
Calls
Call 1
Inputs
(-.f64 1 1)
(/.f64 1 x)
(/.f64 (-.f64 1 y) x)
(-.f64 (/.f64 1 x) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Outputs
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 x)
(/.f64 (exp.f64 (neg.f64 y)) x)
Calls

4 calls:

26.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
24.0ms
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
18.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
0.2b3x
5.4b2y
2.9b3(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
2.9b3(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
Compiler

Compiled 93 to 55 computations (40.9% saved)

bsearch43.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
1.309354150127422e-32
1.0074730251904666e-23
21.0ms
-1.6961503726381266e+68
-6.213070881413399e+57
Results
27.0ms198×body256valid
8.0ms26×body512valid
4.0ms43×body256invalid
1.0msbody256infinite
Compiler

Compiled 214 to 166 computations (22.4% saved)

regimes18.0ms (0.3%)

Accuracy

Total -56.5b remaining (-1047.7%)

Threshold costs -56.5b (-1047.7%)

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

2 calls:

12.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
8.8b1x
5.4b2y
Compiler

Compiled 35 to 25 computations (28.6% saved)

bsearch40.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
40.0ms
1.638757404613151e+56
7.549425471453385e+58
Results
14.0ms35×body1024valid
9.0ms66×body256valid
8.0ms27×body512valid
6.0ms61×body256invalid
Compiler

Compiled 114 to 100 computations (12.3% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040186
146186
248186
349186
Stop Event
done
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -10000) (/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x) (if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -5109351192408883/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 0) (/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x) (if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 4562440617622195/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (exp.f64 (neg.f64 y)) x) (/.f64 1 x)))))
(if (<=.f64 x -19999999999999998876238979948827261631594308857026393931776) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 6805647338418769/680564733841876926926749214863536422912) (/.f64 1 x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 y 165000000000000001008221324525534012762273189369321881600) (/.f64 1 x) (-.f64 1 1))
(-.f64 1 1)
Outputs
(if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -10000) (/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x) (if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -5109351192408883/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 0) (/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x) (if (<=.f64 (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 4562440617622195/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (exp.f64 (neg.f64 y)) x) (/.f64 1 x)))))
(if (<=.f64 x -19999999999999998876238979948827261631594308857026393931776) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 6805647338418769/680564733841876926926749214863536422912) (/.f64 1 x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 y 165000000000000001008221324525534012762273189369321881600) (/.f64 1 x) (-.f64 1 1))
(if (<=.f64 y 165000000000000001008221324525534012762273189369321881600) (/.f64 1 x) 0)
(-.f64 1 1)
0
Compiler

Compiled 129 to 52 computations (59.7% saved)

soundness264.0ms (5%)

Algorithm
egg-herbie
Rules
669×associate-/l*_binary64
656×associate-/r*_binary64
522×unswap-sqr_binary64
522×unswap-sqr_binary64
522×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
11613
22513
35413
413313
532713
687813
7332113
8660613
0917
11613
22513
35413
413313
532713
687813
7332113
8660613
02942123
19701683
240821354
0917
11613
22513
35413
413313
532713
687813
7332113
8660613
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 100 to 63 computations (37% saved)

end38.0ms (0.7%)

Compiler

Compiled 123 to 43 computations (65% saved)

Profiling

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