Details

Time bar (total: 1.5s)

analyze163.0ms (10.9%)

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
12.5%87.4%0.1%5
18.7%81.2%0.1%6
43.7%56.2%0.1%7
50%50%0.1%8
67.1%32.8%0.1%9
71.8%28.1%0.1%10
82.3%17.6%0.1%11
85.1%14.8%0.1%12
90.8%9.1%0.1%13
92.3%7.6%0.1%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample718.0ms (48.1%)

Results
707.0ms8256×body128valid
Compiler

Compiled 20 to 14 computations (30% saved)

preprocess15.0ms (1%)

Algorithm
2×egg-herbie
Rules
5×*-commutative_binary64
4×associate-/l*_binary64
4×associate-/r/_binary64
2×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11920
22720
33320
43520
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (*.f64 x y) (+.f64 y 1))
(/.f64 (*.f64 y x) (+.f64 x 1))
Outputs
(/.f64 (*.f64 x y) (+.f64 y 1))
(*.f64 (/.f64 x (+.f64 y 1)) y)
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 x 1))
(/.f64 y (/.f64 (+.f64 x 1) x))
(*.f64 (/.f64 y (+.f64 x 1)) x)
(*.f64 x (/.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (+.f64 x 1) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify13.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
21710
32010
42110
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y 1))
Outputs
(/.f64 (*.f64 x y) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(*.f64 (/.f64 x (+.f64 y 1)) y)
(*.f64 y (/.f64 x (+.f64 y 1)))
(*.f64 x (/.f64 y (+.f64 y 1)))

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
9.5b
(/.f64 (*.f64 x y) (+.f64 y 1))
▶0.0b
(*.f64 x (/.f64 y (+.f64 y 1)))
Compiler

Compiled 52 to 34 computations (34.6% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.4%)

Counts
2 → 36
Calls

9 calls:

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

rewrite46.0ms (3.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115017
2205417
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 y (+.f64 y 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 y 1) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y 1) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x y)) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) 1) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (hypot.f64 1 (sqrt.f64 y))) (hypot.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (+.f64 y 1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 y 1) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 y 1) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 (+.f64 y 1) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 y 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (+.f64 y 1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 y 1) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (+.f64 y 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) 2) (cbrt.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y 1))) (sqrt.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 y))) (/.f64 y (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (hypot.f64 1 (sqrt.f64 y))) (/.f64 (cbrt.f64 y) (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 y)) 1))))))

simplify42.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
554×fma-def_binary64
393×sub-neg_binary64
310×fma-neg_binary64
302×cancel-sign-sub-inv_binary64
269×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042414
1120404
2345394
31043394
44287394
Stop Event
1×node limit
Counts
95 → 88
Calls
Call 1
Inputs
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(*.f64 y x)
(-.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (*.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 (pow.f64 y 4) x)))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
y
(-.f64 y (pow.f64 y 2))
(-.f64 (+.f64 (pow.f64 y 3) y) (pow.f64 y 2))
(-.f64 (+.f64 (pow.f64 y 3) y) (+.f64 (pow.f64 y 2) (pow.f64 y 4)))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
Outputs
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y x)
(-.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) x))
(*.f64 x (-.f64 y (*.f64 y y)))
(*.f64 y (-.f64 x (*.f64 y x)))
(*.f64 (-.f64 1 y) (*.f64 y x))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (*.f64 (pow.f64 y 2) x))
(-.f64 (*.f64 x (+.f64 y (pow.f64 y 3))) (*.f64 x (*.f64 y y)))
(*.f64 x (+.f64 y (-.f64 (pow.f64 y 3) (*.f64 y y))))
(*.f64 x (*.f64 y (-.f64 (fma.f64 y y 1) y)))
(*.f64 x (fma.f64 y (-.f64 (*.f64 y y) y) y))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 (pow.f64 y 4) x)))
(-.f64 (*.f64 x (+.f64 y (pow.f64 y 3))) (*.f64 x (+.f64 (*.f64 y y) (pow.f64 y 4))))
(*.f64 x (+.f64 y (-.f64 (pow.f64 y 3) (fma.f64 y y (pow.f64 y 4)))))
(*.f64 x (*.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 y (*.f64 y y)) (fma.f64 y y 1)))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(-.f64 (+.f64 x (/.f64 x (*.f64 y y))) (/.f64 x y))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 x (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(-.f64 (+.f64 x (/.f64 x (*.f64 y y))) (/.f64 x y))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 x (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
y
(-.f64 y (pow.f64 y 2))
(-.f64 y (*.f64 y y))
(-.f64 (+.f64 (pow.f64 y 3) y) (pow.f64 y 2))
(+.f64 (pow.f64 y 3) (-.f64 y (*.f64 y y)))
(+.f64 y (-.f64 (pow.f64 y 3) (*.f64 y y)))
(*.f64 y (-.f64 (fma.f64 y y 1) y))
(fma.f64 y (-.f64 (*.f64 y y) y) y)
(-.f64 (+.f64 (pow.f64 y 3) y) (+.f64 (pow.f64 y 2) (pow.f64 y 4)))
(-.f64 (+.f64 y (pow.f64 y 3)) (+.f64 (*.f64 y y) (pow.f64 y 4)))
(+.f64 y (-.f64 (pow.f64 y 3) (fma.f64 y y (pow.f64 y 4))))
(*.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y y)))
(*.f64 (-.f64 y (*.f64 y y)) (fma.f64 y y 1))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.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))))
(-.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y))) (/.f64 1 (pow.f64 y 3)))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (/.f64 -1 (pow.f64 y 3))))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.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))))
(-.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y))) (/.f64 1 (pow.f64 y 3)))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (/.f64 -1 (pow.f64 y 3))))

prune52.0ms (3.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New86288
Fresh011
Picked101
Done000
Total87390
Error
0b
Counts
90 → 3
Alt Table
StatusErrorProgram
▶0.1b
(/.f64 x (/.f64 (+.f64 y 1) y))
9.5b
(/.f64 (*.f64 x y) (+.f64 y 1))
32.8b
(*.f64 x (fma.f64 y (-.f64 (*.f64 y y) y) y))
Compiler

Compiled 1026 to 616 computations (40% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 y 1) y)
✓0.1b
(/.f64 x (/.f64 (+.f64 y 1) y))

series3.0ms (0.2%)

Counts
2 → 36
Calls

9 calls:

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

rewrite44.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
866×log1p-expm1-u_binary64
866×expm1-log1p-u_binary64
81×add-sqr-sqrt_binary64
79×*-un-lft-identity_binary64
79×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115617
2230517
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(/.f64 x (/.f64 (+.f64 y 1) y))
(/.f64 (+.f64 y 1) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y (+.f64 y 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 y (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))) 2) (cbrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))) (sqrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (+.f64 (neg.f64 y) -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (+.f64 y 1)) (/.f64 (sqrt.f64 x) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1)) (/.f64 x (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 y 1)) (/.f64 (cbrt.f64 x) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) y)) 2)) (/.f64 x (cbrt.f64 (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) y)) 2)) (cbrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 y 1) y))) (/.f64 x (sqrt.f64 (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (+.f64 y 1) y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (neg.f64 y) -1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 y 1)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 y 1)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 y 1)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 y (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 y (+.f64 y 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) (*.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (+.f64 (neg.f64 y) -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 y (+.f64 y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 y (+.f64 y 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 y (+.f64 y 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 y 1) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y (+.f64 y 1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y 1) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 y 1) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) y)) 2) (cbrt.f64 (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2) (*.f64 (cbrt.f64 (+.f64 y 1)) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 y 1) y)) (sqrt.f64 (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 y)) (*.f64 (hypot.f64 1 (sqrt.f64 y)) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 y) -1) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y 1)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 y)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 y 1) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 y 1) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 y 1)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 y 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 y 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 y 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 y 1) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 y) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 y)) 1))))))

simplify35.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
415×fma-def_binary64
287×distribute-rgt-neg-in_binary64
255×distribute-lft-neg-in_binary64
253×fma-neg_binary64
248×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032345
190337
2250332
3786332
43304332
Stop Event
1×node limit
Counts
112 → 94
Calls
Call 1
Inputs
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(*.f64 y x)
(-.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (*.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 (pow.f64 y 4) x)))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(/.f64 1 y)
(+.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 1 y))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
1
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
Outputs
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(*.f64 y x)
(-.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) x))
(*.f64 x (-.f64 y (*.f64 y y)))
(*.f64 y (-.f64 x (*.f64 y x)))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (*.f64 (pow.f64 y 2) x))
(-.f64 (*.f64 x (+.f64 y (pow.f64 y 3))) (*.f64 x (*.f64 y y)))
(*.f64 x (-.f64 (+.f64 y (pow.f64 y 3)) (*.f64 y y)))
(*.f64 x (*.f64 y (-.f64 (fma.f64 y y 1) y)))
(*.f64 y (*.f64 (-.f64 (fma.f64 y y 1) y) x))
(*.f64 (*.f64 y x) (-.f64 (fma.f64 y y 1) y))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 (pow.f64 y 4) x)))
(-.f64 (*.f64 x (+.f64 y (pow.f64 y 3))) (*.f64 x (+.f64 (*.f64 y y) (pow.f64 y 4))))
(*.f64 x (-.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y y (pow.f64 y 4))))
(*.f64 x (*.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 y (*.f64 y y)) (fma.f64 y y 1)))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 x (/.f64 x y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 x (*.f64 y y)) (-.f64 x (/.f64 x y))) (/.f64 x (pow.f64 y 3)))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (-.f64 x (/.f64 x y)) (/.f64 x (pow.f64 y 3))))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (-.f64 x (/.f64 x (pow.f64 y 3))) (/.f64 x y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 x (/.f64 x y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 x (*.f64 y y)) (-.f64 x (/.f64 x y))) (/.f64 x (pow.f64 y 3)))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (-.f64 x (/.f64 x y)) (/.f64 x (pow.f64 y 3))))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (-.f64 x (/.f64 x (pow.f64 y 3))) (/.f64 x y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(/.f64 1 y)
(+.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 1 y))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))

prune43.0ms (2.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New93194
Fresh112
Picked101
Done000
Total95297
Error
0b
Counts
97 → 2
Alt Table
StatusErrorProgram
9.5b
(/.f64 (*.f64 x y) (+.f64 y 1))
▶0.1b
(/.f64 x (+.f64 1 (/.f64 1 y)))
Compiler

Compiled 1122 to 707 computations (37% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 x (+.f64 1 (/.f64 1 y)))

series4.0ms (0.2%)

Counts
1 → 12
Calls

6 calls:

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

rewrite39.0ms (2.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115310
2207710
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (/.f64 1 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (/.f64 1 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (/.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 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 y -1/2))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.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 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (pow.f64 y -1/2))) (/.f64 x (hypot.f64 1 (pow.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 y -1/2))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 y -3))) (-.f64 (+.f64 1 (pow.f64 y -2)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 y -2))) (-.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 y -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 1 y)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (/.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (/.f64 1 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (/.f64 1 y))) 1))))))

simplify27.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
408×fma-def_binary64
287×distribute-rgt-neg-in_binary64
255×distribute-lft-neg-in_binary64
253×fma-neg_binary64
248×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026156
180148
2238143
3752143
43252143
Stop Event
1×node limit
Counts
47 → 48
Calls
Call 1
Inputs
(*.f64 y x)
(-.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (*.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 (pow.f64 y 4) x)))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
Outputs
(*.f64 y x)
(-.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) x))
(*.f64 x (-.f64 y (*.f64 y y)))
(*.f64 y (-.f64 x (*.f64 y x)))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (*.f64 (pow.f64 y 2) x))
(-.f64 (*.f64 x (+.f64 y (pow.f64 y 3))) (*.f64 x (*.f64 y y)))
(*.f64 x (-.f64 (+.f64 y (pow.f64 y 3)) (*.f64 y y)))
(*.f64 x (*.f64 y (-.f64 (fma.f64 y y 1) y)))
(*.f64 (*.f64 y x) (-.f64 (fma.f64 y y 1) y))
(*.f64 x (fma.f64 y (-.f64 (*.f64 y y) y) y))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 (pow.f64 y 4) x)))
(-.f64 (*.f64 x (+.f64 y (pow.f64 y 3))) (*.f64 x (+.f64 (*.f64 y y) (pow.f64 y 4))))
(*.f64 x (-.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y y (pow.f64 y 4))))
(*.f64 x (*.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y y))))
(*.f64 (fma.f64 y y 1) (*.f64 y (-.f64 x (*.f64 y x))))
(*.f64 x (*.f64 (-.f64 y (*.f64 y y)) (fma.f64 y y 1)))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 x (/.f64 x y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(-.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (-.f64 x (/.f64 x y)) (/.f64 x (pow.f64 y 3))))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 x (/.f64 x y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(-.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (-.f64 x (/.f64 x y)) (/.f64 x (pow.f64 y 3))))

prune25.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New48048
Fresh011
Picked011
Done000
Total48250
Error
0b
Counts
50 → 2
Alt Table
StatusErrorProgram
▶9.5b
(/.f64 (*.f64 x y) (+.f64 y 1))
✓0.1b
(/.f64 x (+.f64 1 (/.f64 1 y)))
Compiler

Compiled 609 to 416 computations (31.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓8.9b
(/.f64 (*.f64 x y) (+.f64 y 1))

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite44.0ms (3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115010
2211410
Stop Event
1×node limit
Counts
1 → 45
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 y 1) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (exp.f64 (neg.f64 (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (exp.f64 (neg.f64 (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) (exp.f64 (neg.f64 (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (+.f64 y 1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 y 1) y))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 y 1) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 y 1) y))) 2) (cbrt.f64 (/.f64 x (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (cbrt.f64 (*.f64 x y)) (exp.f64 (neg.f64 (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (/.f64 (+.f64 y 1) y))) (sqrt.f64 (/.f64 x (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (exp.f64 (neg.f64 (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 y)) (/.f64 1 (+.f64 -1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (log1p.f64 y))) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x y)) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x y)) 1) (/.f64 (sqrt.f64 (*.f64 x y)) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (*.f64 x y) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 x (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 y 1))) (/.f64 y (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (+.f64 y 1))) (/.f64 x (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (sqrt.f64 (+.f64 y 1))) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (+.f64 y 1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 y 1) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 y 1) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 (+.f64 y 1) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) (*.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x y) (+.f64 -1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 y 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (+.f64 y 1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 y 1) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (+.f64 y 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y)) 1))))))

simplify36.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
410×fma-def_binary64
287×distribute-rgt-neg-in_binary64
255×distribute-lft-neg-in_binary64
253×fma-neg_binary64
248×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029276
187268
2247263
3780263
43262263
Stop Event
1×node limit
Counts
69 → 60
Calls
Call 1
Inputs
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(*.f64 y x)
(-.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (*.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 (pow.f64 y 4) x)))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
Outputs
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y (/.f64 x (+.f64 y 1)))
(*.f64 y x)
(-.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) x))
(*.f64 x (-.f64 y (*.f64 y y)))
(*.f64 y (-.f64 x (*.f64 y x)))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (*.f64 (pow.f64 y 2) x))
(-.f64 (*.f64 x (+.f64 y (pow.f64 y 3))) (*.f64 x (*.f64 y y)))
(*.f64 x (-.f64 (+.f64 y (pow.f64 y 3)) (*.f64 y y)))
(*.f64 x (*.f64 y (-.f64 (fma.f64 y y 1) y)))
(*.f64 y (*.f64 (-.f64 (fma.f64 y y 1) y) x))
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 (pow.f64 y 4) x)))
(-.f64 (*.f64 x (+.f64 y (pow.f64 y 3))) (*.f64 x (+.f64 (*.f64 y y) (pow.f64 y 4))))
(*.f64 x (-.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y y (pow.f64 y 4))))
(*.f64 x (*.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y y))))
(*.f64 x (*.f64 (-.f64 y (*.f64 y y)) (fma.f64 y y 1)))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 x (/.f64 x y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 x (*.f64 y y)) (-.f64 x (/.f64 x y))) (/.f64 x (pow.f64 y 3)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(-.f64 (-.f64 x (/.f64 x (pow.f64 y 3))) (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))
x
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (/.f64 x y))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 x (/.f64 x y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) x) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 x (*.f64 y y)) (-.f64 x (/.f64 x y))) (/.f64 x (pow.f64 y 3)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(-.f64 (-.f64 x (/.f64 x (pow.f64 y 3))) (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))

prune26.0ms (1.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh000
Picked011
Done011
Total60262
Error
0b
Counts
62 → 2
Alt Table
StatusErrorProgram
✓9.5b
(/.f64 (*.f64 x y) (+.f64 y 1))
✓0.1b
(/.f64 x (+.f64 1 (/.f64 1 y)))
Compiler

Compiled 722 to 407 computations (43.6% saved)

regimes49.0ms (3.3%)

Accuracy

Total 0.0b remaining (72.8%)

Threshold costs 0.0b (72.8%)

Counts
29 → 1
Compiler

Compiled 221 to 127 computations (42.5% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11314
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (expm1.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))))
Outputs
(*.f64 x (expm1.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))))

end40.0ms (2.7%)

Stop Event
1×done
Compiler

Compiled 40 to 29 computations (27.5% saved)

Profiling

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