Details

Time bar (total: 1.7s)

analyze61.0ms (3.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
37.5%62.4%0.1%5
43.7%56.2%0.1%6
74.9%25%0.1%7
81.2%18.7%0.1%8
87.4%12.5%0.1%9
90.5%9.4%0.1%10
93.7%6.2%0.1%11
95.2%4.7%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample721.0ms (42.5%)

Results
708.0ms8254×body128valid
0.0ms1×body512valid
0.0ms1×body256valid
Compiler

Compiled 20 to 14 computations (30% saved)

preprocess46.0ms (2.7%)

Algorithm
2×egg-herbie
Rules
868×fma-neg_binary64
664×div-sub_binary64
422×times-frac_binary64
246×distribute-rgt-in_binary64
196×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12420
23720
36420
413120
526420
653720
7155720
8344820
9472420
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(/.f64 (-.f64 y x) (-.f64 1 x))
Outputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(/.f64 (-.f64 y x) (-.f64 1 x))
(/.f64 (-.f64 x y) (+.f64 x -1))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify38.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
538×fma-neg_binary64
369×fma-def_binary64
316×div-sub_binary64
272×times-frac_binary64
116×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11510
22210
33710
47010
512010
622710
744610
8106810
9219810
10283310
11311610
12312610
13312610
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 1 y))
Outputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(/.f64 (-.f64 y x) (+.f64 y -1))
(/.f64 (-.f64 y x) (-.f64 y 1))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 34 to 22 computations (35.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

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

rewrite104.0ms (6.1%)

Algorithm
1×batch-egg-rewrite
Rules
725×prod-diff_binary64
238×fma-def_binary64
221×egg-rr
150×expm1-udef_binary64
149×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116010
2241910
Stop Event
1×node limit
Counts
1 → 221
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 1 y))
Outputs
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simplify34.0ms (2%)

Algorithm
1×egg-herbie
Rules
493×+-commutative_binary64
479×associate-+l-_binary64
438×cancel-sign-sub-inv_binary64
410×fma-neg_binary64
350×associate--r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046419
1140413
2452406
31890396
Stop Event
1×node limit
Counts
245 → 238
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
x
(-.f64 (+.f64 (*.f64 y x) x) y)
(-.f64 (+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x)) (+.f64 y (pow.f64 y 2)))
(-.f64 (+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 3) x) (+.f64 (*.f64 (pow.f64 y 2) x) x))) (+.f64 y (+.f64 (pow.f64 y 3) (pow.f64 y 2))))
1
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))))) (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))))
1
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))))) (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))))
Outputs
(*.f64 -1 (/.f64 y (-.f64 1 y)))
(neg.f64 (/.f64 y (-.f64 1 y)))
(/.f64 (neg.f64 y) (-.f64 1 y))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
x
(-.f64 (+.f64 (*.f64 y x) x) y)
(-.f64 (fma.f64 y x x) y)
(fma.f64 y x (-.f64 x y))
(-.f64 (+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x)) (+.f64 y (pow.f64 y 2)))
(-.f64 (fma.f64 y x (fma.f64 (*.f64 y y) x x)) (+.f64 y (*.f64 y y)))
(+.f64 (*.f64 x (fma.f64 y y y)) (-.f64 x (fma.f64 y y y)))
(fma.f64 x (fma.f64 y y y) (-.f64 x (fma.f64 y y y)))
(+.f64 x (*.f64 (fma.f64 y y y) (+.f64 -1 x)))
(-.f64 (+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 3) x) (+.f64 (*.f64 (pow.f64 y 2) x) x))) (+.f64 y (+.f64 (pow.f64 y 3) (pow.f64 y 2))))
(-.f64 (-.f64 (fma.f64 y x (fma.f64 (pow.f64 y 3) x (fma.f64 (*.f64 y y) x x))) y) (+.f64 (*.f64 y y) (pow.f64 y 3)))
(-.f64 (+.f64 (*.f64 x (*.f64 y (fma.f64 y y y))) (fma.f64 y x x)) (+.f64 y (*.f64 y (fma.f64 y y y))))
(+.f64 (*.f64 x (fma.f64 y (fma.f64 y y y) y)) (-.f64 x (fma.f64 y (fma.f64 y y y) y)))
(+.f64 x (*.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 -1 x)))
1
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 1 (/.f64 1 y)) (/.f64 x y))
(+.f64 1 (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))))
(+.f64 (/.f64 1 y) (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 1 y)) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (-.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) (/.f64 1 y))))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))))) (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))) (+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) (-.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))))))
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3)))) (+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 x y) y) (/.f64 x (pow.f64 y 3))))))
1
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y))
(-.f64 (+.f64 1 (/.f64 1 y)) (/.f64 x y))
(+.f64 1 (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))))
(+.f64 (/.f64 1 y) (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 1 y)) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (-.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) (/.f64 1 y))))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))))) (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))) (+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) (-.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))))))
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3)))) (+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 x y) y) (/.f64 x (pow.f64 y 3))))))

prune229.0ms (13.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2362238
Fresh000
Picked101
Done000
Total2372239
Error
0b
Counts
239 → 2
Alt Table
StatusErrorProgram
36.6b
(+.f64 x (*.f64 (fma.f64 y y y) (+.f64 -1 x)))
▶0.0b
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
Compiler

Compiled 10779 to 7262 computations (32.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.4%)

Counts
2 → 24
Calls

9 calls:

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

rewrite42.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
802×log1p-expm1-u_binary64
802×expm1-log1p-u_binary64
77×add-sqr-sqrt_binary64
75×*-un-lft-identity_binary64
75×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115114
2209014
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 y (-.f64 1 y))
(/.f64 x (-.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) 2) (cbrt.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (-.f64 1 y))) (sqrt.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 y (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 y (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 1 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 y) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 1 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 2) (cbrt.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 y))) (sqrt.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 x (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 y))))))))

simplify36.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
699×fma-def_binary64
586×cancel-sign-sub-inv_binary64
404×sub-neg_binary64
197×associate-+l-_binary64
169×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049343
1146323
2447314
31311296
43874296
Stop Event
1×node limit
Counts
94 → 99
Calls
Call 1
Inputs
y
(+.f64 y (pow.f64 y 2))
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))))))
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x))
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 3) x) (+.f64 (*.f64 (pow.f64 y 2) x) x)))
(*.f64 -1 (/.f64 x y))
(neg.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))))))
(*.f64 -1 (/.f64 x y))
(neg.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))))))
Outputs
y
(+.f64 y (pow.f64 y 2))
(+.f64 y (*.f64 y y))
(fma.f64 y y y)
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (+.f64 y (*.f64 y y)) (pow.f64 y 3))
(+.f64 (fma.f64 y y y) (pow.f64 y 3))
(+.f64 y (fma.f64 y y (pow.f64 y 3)))
(fma.f64 y (fma.f64 y y y) y)
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (*.f64 y y) (pow.f64 y 4))))
(+.f64 (fma.f64 y y y) (+.f64 (pow.f64 y 4) (pow.f64 y 3)))
(*.f64 (fma.f64 y y 1) (fma.f64 y y y))
(*.f64 (fma.f64 y y y) (fma.f64 y y 1))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(+.f64 (neg.f64 (/.f64 1 y)) -1)
(-.f64 -1 (/.f64 1 y))
(+.f64 -1 (/.f64 -1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (-.f64 -1 (/.f64 1 y)) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 -1 y) (+.f64 -1 (/.f64 -1 (*.f64 y y))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))))
(-.f64 (-.f64 -1 (/.f64 1 y)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (-.f64 (/.f64 -1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(+.f64 (neg.f64 (/.f64 1 y)) -1)
(-.f64 -1 (/.f64 1 y))
(+.f64 -1 (/.f64 -1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (-.f64 -1 (/.f64 1 y)) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 -1 y) (+.f64 -1 (/.f64 -1 (*.f64 y y))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))))
(-.f64 (-.f64 -1 (/.f64 1 y)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (-.f64 (/.f64 -1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3))))
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x))
(fma.f64 y x (fma.f64 (*.f64 y y) x x))
(*.f64 x (+.f64 y (fma.f64 y y 1)))
(fma.f64 x (fma.f64 y y y) x)
(fma.f64 y (fma.f64 y x x) x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 3) x) (+.f64 (*.f64 (pow.f64 y 2) x) x)))
(fma.f64 y x (fma.f64 (pow.f64 y 3) x (fma.f64 (*.f64 y y) x x)))
(fma.f64 y x (*.f64 x (+.f64 (fma.f64 y y 1) (pow.f64 y 3))))
(fma.f64 (pow.f64 y 3) x (fma.f64 x (fma.f64 y y y) x))
(*.f64 (fma.f64 y y 1) (fma.f64 y x x))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(neg.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))))
(-.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))
(-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (/.f64 x (pow.f64 y 3)))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))))
(-.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 4)))))
(-.f64 (/.f64 (neg.f64 x) y) (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))))
(-.f64 (-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(neg.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))))
(-.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))
(-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (/.f64 x (pow.f64 y 3)))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))))
(-.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 4)))))
(-.f64 (/.f64 (neg.f64 x) y) (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))))
(-.f64 (-.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))

prune59.0ms (3.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New98199
Fresh101
Picked011
Done000
Total992101
Error
0b
Counts
101 → 2
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
▶33.7b
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
Compiler

Compiled 1627 to 1086 computations (33.3% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series4.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
1.0ms
y
@-inf
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
0.0ms
y
@inf
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
0.0ms
y
@0
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
0.0ms
x
@inf
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))

rewrite52.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
967×prod-diff_binary64
303×fma-def_binary64
181×fma-neg_binary64
164×expm1-udef_binary64
163×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
117814
2256314
Stop Event
1×node limit
Counts
1 → 108
Calls
Call 1
Inputs
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
Outputs
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egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))))))))

simplify35.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
577×sub-neg_binary64
394×fma-neg_binary64
220×associate-+l-_binary64
217×associate--l+_binary64
206×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035333
1116295
2365291
31362285
43622283
Stop Event
1×node limit
Counts
132 → 127
Calls
Call 1
Inputs
(*.f64 -1 (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(/.f64 x (-.f64 1 y))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(/.f64 x (-.f64 1 y))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
x
(-.f64 (+.f64 (*.f64 y x) x) y)
(-.f64 (+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x)) (+.f64 y (pow.f64 y 2)))
(-.f64 (+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 3) x) (+.f64 (*.f64 (pow.f64 y 2) x) x))) (+.f64 y (pow.f64 y 2)))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (+.f64 y (pow.f64 y 2)))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 y (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 y (+.f64 (pow.f64 y 2) (/.f64 x (pow.f64 y 2))))))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (+.f64 y (pow.f64 y 2)))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 y (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 y (+.f64 (pow.f64 y 2) (/.f64 x (pow.f64 y 2))))))
Outputs
(*.f64 -1 (+.f64 y (pow.f64 y 2)))
(neg.f64 (+.f64 y (*.f64 y y)))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (*.f64 y y)))
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (*.f64 y y)))
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (*.f64 y y)))
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
(/.f64 x (-.f64 1 y))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (*.f64 y y)))
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (*.f64 y y)))
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (*.f64 y y)))
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
(/.f64 x (-.f64 1 y))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (*.f64 y y)))
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (*.f64 y y)))
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (pow.f64 y 2)))
(-.f64 (/.f64 x (-.f64 1 y)) (+.f64 y (*.f64 y y)))
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
x
(-.f64 (+.f64 (*.f64 y x) x) y)
(-.f64 (fma.f64 y x x) y)
(fma.f64 y x (-.f64 x y))
(-.f64 (+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x)) (+.f64 y (pow.f64 y 2)))
(-.f64 (fma.f64 y x (fma.f64 (*.f64 y y) x x)) (+.f64 y (*.f64 y y)))
(+.f64 (*.f64 x (fma.f64 y y y)) (-.f64 x (fma.f64 y y y)))
(-.f64 (fma.f64 x (fma.f64 y y y) x) (fma.f64 y y y))
(+.f64 x (*.f64 (fma.f64 y y y) (+.f64 -1 x)))
(-.f64 (+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 3) x) (+.f64 (*.f64 (pow.f64 y 2) x) x))) (+.f64 y (pow.f64 y 2)))
(-.f64 (fma.f64 y x (fma.f64 (pow.f64 y 3) x (fma.f64 (*.f64 y y) x x))) (+.f64 y (*.f64 y y)))
(-.f64 (fma.f64 y x (*.f64 x (+.f64 (fma.f64 y y 1) (pow.f64 y 3)))) (fma.f64 y y y))
(-.f64 (fma.f64 y x (fma.f64 x (*.f64 y (fma.f64 y y y)) x)) (fma.f64 y y y))
(-.f64 (*.f64 (fma.f64 y y 1) (fma.f64 y x x)) (fma.f64 y y y))
(*.f64 (+.f64 y 1) (-.f64 (*.f64 x (fma.f64 y y 1)) y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(neg.f64 (+.f64 y (pow.f64 y 2)))
(neg.f64 (+.f64 y (*.f64 y y)))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 y (pow.f64 y 2))))
(neg.f64 (+.f64 (+.f64 y (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (fma.f64 y y y))
(neg.f64 (fma.f64 (+.f64 y 1) y (/.f64 x y)))
(-.f64 (*.f64 y (-.f64 -1 y)) (/.f64 x y))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 y (+.f64 (pow.f64 y 2) (/.f64 x (pow.f64 y 2))))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 y (+.f64 (*.f64 y y) (/.f64 x (*.f64 y y))))))
(-.f64 (/.f64 (neg.f64 x) y) (+.f64 y (fma.f64 y y (/.f64 x (*.f64 y y)))))
(-.f64 (*.f64 y (-.f64 -1 y)) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 (neg.f64 x) y) (+.f64 (fma.f64 y y y) (/.f64 x (*.f64 y y))))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(neg.f64 (+.f64 y (pow.f64 y 2)))
(neg.f64 (+.f64 y (*.f64 y y)))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 y (pow.f64 y 2))))
(neg.f64 (+.f64 (+.f64 y (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (fma.f64 y y y))
(neg.f64 (fma.f64 (+.f64 y 1) y (/.f64 x y)))
(-.f64 (*.f64 y (-.f64 -1 y)) (/.f64 x y))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 y (+.f64 (pow.f64 y 2) (/.f64 x (pow.f64 y 2))))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 y (+.f64 (*.f64 y y) (/.f64 x (*.f64 y y))))))
(-.f64 (/.f64 (neg.f64 x) y) (+.f64 y (fma.f64 y y (/.f64 x (*.f64 y y)))))
(-.f64 (*.f64 y (-.f64 -1 y)) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 (neg.f64 x) y) (+.f64 (fma.f64 y y y) (/.f64 x (*.f64 y y))))

prune87.0ms (5.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1770177
Fresh000
Picked011
Done011
Total1772179
Error
0b
Counts
179 → 2
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
✓33.7b
(-.f64 (/.f64 x (-.f64 1 y)) (fma.f64 y y y))
Compiler

Compiled 3481 to 1604 computations (53.9% saved)

regimes79.0ms (4.6%)

Accuracy

Total 0.0b remaining (20%)

Threshold costs 0.0b (20%)

Counts
40 → 1
Compiler

Compiled 356 to 192 computations (46.1% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11416
22216
32616
42816
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
Outputs
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

end39.0ms (2.3%)

Stop Event
1×done
Compiler

Compiled 51 to 34 computations (33.3% saved)

Profiling

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