Details

Time bar (total: 6.6s)

analyze176.0ms (2.7%)

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
25%74.9%0.1%5
37.5%62.4%0.1%6
50%46.8%3.2%7
56.2%39%4.8%8
62.4%27.3%10.2%9
65.6%22.2%12.2%10
68.7%14.6%16.7%11
70.2%11.8%18%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample1.3s (19.3%)

Results
1.2s8256×body256valid
70.0ms788×body256invalid

preprocess15.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
2×+-commutative_binary64
2×associate-/r*_binary64
2×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11820
22020
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (/.f64 x (*.f64 y y)) 3)
(-.f64 (/.f64 y (*.f64 x x)) 3)
Outputs
(-.f64 (/.f64 x (*.f64 y y)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 y (*.f64 x x)) 3)
(+.f64 (/.f64 y (*.f64 x x)) -3)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×associate-/r*_binary64
1×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
21310
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 x (*.f64 y y)) 3)
Outputs
(-.f64 (/.f64 x (*.f64 y y)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)

eval1.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
5.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶5.0b
(-.f64 (/.f64 x (*.f64 y y)) 3)
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 x (*.f64 y y)) 3)
✓8.2b
(/.f64 x (*.f64 y y))
Compiler

Compiled 20 to 7 computations (65% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite65.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
871×pow1_binary64
816×add-log-exp_binary64
816×log1p-expm1-u_binary64
816×expm1-log1p-u_binary64
799×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
115915
2216415
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (*.f64 y y)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4))) (cbrt.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y 4))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 y y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 y y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (pow.f64 y -2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (pow.f64 y -2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2) (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)) (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (/.f64 1 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 9 (*.f64 (/.f64 x (*.f64 y y)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) -9) (/.f64 1 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 9 (*.f64 (/.f64 x (*.f64 y y)) 3))) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (pow.f64 y -2) 3) (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 9 (*.f64 (/.f64 x (*.f64 y y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) (-.f64 9 (*.f64 (/.f64 x (*.f64 y y)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) -9) (fma.f64 x (pow.f64 y -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) -9) (-.f64 (/.f64 x (*.f64 y y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)) (neg.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 9 (*.f64 (/.f64 x (*.f64 y y)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) -9)) (neg.f64 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (pow.f64 y -2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 y -2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (*.f64 y y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4))) (cbrt.f64 (/.f64 x (*.f64 y y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y) -3)))))

simplify186.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1137×associate-/r*_binary64
1082×sqr-pow_binary64
560×fabs-mul_binary64
560×cube-prod_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09372
116372
226372
341372
480372
5230372
6829372
72036372
82202372
92386372
102594372
112893372
123288372
133771372
144339372
155029372
165866372
176260372
186548372
196824372
206898372
216934372
Stop Event
1×node limit
Counts
110 → 66
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)

eval17.0ms (0.3%)

Compiler

Compiled 801 to 464 computations (42.1% saved)

prune16.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New58866
Fresh000
Picked011
Done000
Total58967
Error
0.0b
Counts
67 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y)) 3)
20.6b
-3
▶5.1b
(fma.f64 x (pow.f64 y -2) -3)
▶5.1b
(-.f64 (*.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y)))) 3)
✓5.0b
(-.f64 (/.f64 x (*.f64 y y)) 3)
▶0.1b
(-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3)
▶5.1b
(-.f64 (*.f64 (pow.f64 y -2) x) 3)
▶0.1b
(-.f64 (pow.f64 (/.f64 y (/.f64 x y)) -1) 3)
34.6b
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 2) 3)
Compiler

Compiled 166 to 123 computations (25.9% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3)
✓0.2b
(*.f64 (/.f64 x y) (/.f64 1 y))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (/.f64 x y) (/.f64 1 y))
0.0ms
x
@-inf
(-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3)
0.0ms
x
@inf
(*.f64 (/.f64 x y) (/.f64 1 y))
0.0ms
x
@-inf
(*.f64 (/.f64 x y) (/.f64 1 y))
0.0ms
y
@inf
(*.f64 (/.f64 x y) (/.f64 1 y))

rewrite76.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
456×log-prod_binary64
351×exp-prod_binary64
340×prod-exp_binary64
271×pow-prod-down_binary64
241×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0917
120017
2263415
Stop Event
1×node limit
Counts
2 → 144
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) -1) (pow.f64 (neg.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 x)) (pow.f64 (neg.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 1 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (/.f64 1 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (pow.f64 y -2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (pow.f64 y -2))))) (sqrt.f64 (log.f64 (*.f64 x (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y -2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 2 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x y)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x y)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) -1) (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 y)) 1) (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 x y)) 1) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 x y)) 1) (*.f64 (log.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (neg.f64 (log.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 x y)) 1) (*.f64 (neg.f64 (log.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) -1) (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 y)) 1) (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (/.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) -1) (*.f64 (log.f64 (/.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 y)) 1) (*.f64 (log.f64 (/.f64 x y)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (pow.f64 y -2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (pow.f64 y -2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (pow.f64 y -2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (pow.f64 y -2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2) (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)) (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 6) -27) (/.f64 1 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 4) (fma.f64 (*.f64 x (pow.f64 y -2)) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 4) -9) (/.f64 1 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 4) (fma.f64 (*.f64 x (pow.f64 y -2)) 3 9)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 6) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (pow.f64 y -2) 3) (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 4) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 6) -27) (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 4) (fma.f64 (*.f64 x (pow.f64 y -2)) 3 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 6) -27) (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 4) (-.f64 9 (*.f64 (*.f64 x (pow.f64 y -2)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 4) -9) (fma.f64 x (pow.f64 y -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 6) -27)) (neg.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 4) (fma.f64 (*.f64 x (pow.f64 y -2)) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 4) -9)) (neg.f64 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (pow.f64 y -2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 4) (fma.f64 (*.f64 x (pow.f64 y -2)) 3 9)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 6) -27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (pow.f64 y -2) 3) (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 4) -9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3)))) (sqrt.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (pow.f64 y -2) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (pow.f64 y -2) -3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 y -2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) (/.f64 1 y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (pow.f64 y -2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (/.f64 x y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 y -2)) 1 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 x y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 4)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 4)) (cbrt.f64 (*.f64 x (pow.f64 y -2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 1 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (/.f64 x y) (sqrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (/.f64 x y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 1 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (pow.f64 y -2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 x y)) y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 x y)) 1) (/.f64 (sqrt.f64 (/.f64 x y)) y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (/.f64 x y) (cbrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 x (pow.f64 y -2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y -3/2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (pow.f64 y -1/2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 x y) 1) (/.f64 1 y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (pow.f64 y -1/2)) (pow.f64 y -1/2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) -3)))))

simplify187.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1137×associate-/r*_binary64
1082×sqr-pow_binary64
560×fabs-mul_binary64
560×cube-prod_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09372
116372
226372
341372
480372
5230372
6829372
72036372
82202372
92386372
102594372
112893372
123288372
133771372
144339372
155029372
165866372
176260372
186548372
196824372
206898372
216934372
Stop Event
1×node limit
Counts
192 → 148
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)

localize31.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y)))) 3)
✓0.6b
(/.f64 1 (*.f64 y (neg.f64 y)))
✓8.2b
(*.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y))))
Compiler

Compiled 40 to 17 computations (57.5% saved)

series4.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

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

rewrite65.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
929×pow1_binary64
865×add-log-exp_binary64
865×log1p-expm1-u_binary64
865×expm1-log1p-u_binary64
117×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01134
124124
2330624
Stop Event
1×node limit
Counts
3 → 78
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y))))
(/.f64 1 (*.f64 y (neg.f64 y)))
(-.f64 (*.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y)))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (*.f64 y y)) (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (*.f64 y y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (cbrt.f64 (*.f64 y (pow.f64 y 3)))) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 1 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 y y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (*.f64 y y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y y) -2)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 y 3))) -1) (pow.f64 (pow.f64 (cbrt.f64 y) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 y y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 y y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (*.f64 y y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) 2) (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) (sqrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (/.f64 1 (+.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) 9) (*.f64 (/.f64 x (*.f64 y y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) -9) (/.f64 1 (+.f64 (/.f64 x (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) 9) (*.f64 (/.f64 x (*.f64 y y)) 3)) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x (*.f64 y y)) 3) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) 9) (*.f64 (/.f64 x (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (-.f64 9 (*.f64 (/.f64 x (*.f64 y y)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) -9) (+.f64 (/.f64 x (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) -9) (-.f64 (/.f64 x (*.f64 y y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) 9) (*.f64 (/.f64 x (*.f64 y y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) -9)) (neg.f64 (+.f64 (/.f64 x (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (*.f64 y y)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (*.f64 y y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (*.f64 y y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (*.f64 y y)) x -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2)) (cbrt.f64 (/.f64 x (*.f64 y y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y) -3)))))

simplify224.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
647×associate-/l/_binary64
560×cube-prod_binary64
557×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011456
118456
230456
349456
4102456
5302456
61107456
71955456
82119456
92303456
102511456
112808456
123688456
134173456
144739456
155431456
166266456
176658456
186948456
197222456
207296456
217332456
Stop Event
1×node limit
Counts
138 → 83
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 (pow.f64 y -2) x) 3)
✓8.2b
(*.f64 (pow.f64 y -2) x)
Compiler

Compiled 21 to 14 computations (33.3% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 (pow.f64 y -2) x)
0.0ms
y
@inf
(*.f64 (pow.f64 y -2) x)
0.0ms
y
@-inf
(*.f64 (pow.f64 y -2) x)
0.0ms
x
@-inf
(*.f64 (pow.f64 y -2) x)
0.0ms
x
@inf
(-.f64 (*.f64 (pow.f64 y -2) x) 3)

rewrite59.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
838×pow1_binary64
783×add-log-exp_binary64
781×log1p-expm1-u_binary64
781×expm1-log1p-u_binary64
768×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
117915
2210515
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 (pow.f64 y -2) x)
(-.f64 (*.f64 (pow.f64 y -2) x) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 y -2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y -2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 y -2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (/.f64 1 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 y -2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (pow.f64 y -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 y -2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 y -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 y -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 y -2) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y -2) x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 (pow.f64 y -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 y -2) x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 y -2) x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 y -2) x -3)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 y -2) x -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 y -2) x -3)) 2) (cbrt.f64 (fma.f64 (pow.f64 y -2) x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 y -2) x -3)) (sqrt.f64 (fma.f64 (pow.f64 y -2) x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 y -2) x) 3) -27) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) (pow.f64 y -4)) (+.f64 9 (*.f64 (pow.f64 y -2) (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) (pow.f64 y -4)) -9) (/.f64 1 (fma.f64 (pow.f64 y -2) x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) (pow.f64 y -4)) (+.f64 9 (*.f64 (pow.f64 y -2) (*.f64 x 3)))) (+.f64 (pow.f64 (*.f64 (pow.f64 y -2) x) 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 y -2) x 3) (+.f64 (*.f64 (*.f64 x x) (pow.f64 y -4)) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 y -2) x) 3) -27) (+.f64 (*.f64 (*.f64 x x) (pow.f64 y -4)) (+.f64 9 (*.f64 (pow.f64 y -2) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 y -2) x) 3) -27) (+.f64 (*.f64 (*.f64 x x) (pow.f64 y -4)) (-.f64 9 (*.f64 (*.f64 (pow.f64 y -2) x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) (pow.f64 y -4)) -9) (fma.f64 (pow.f64 y -2) x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) (pow.f64 y -4)) -9) (-.f64 (*.f64 (pow.f64 y -2) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 y -2) x) 3) -27)) (neg.f64 (+.f64 (*.f64 (*.f64 x x) (pow.f64 y -4)) (+.f64 9 (*.f64 (pow.f64 y -2) (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) (pow.f64 y -4)) -9)) (neg.f64 (fma.f64 (pow.f64 y -2) x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 y -2) x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 y -2) x -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 y -2) x -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 y -2) x -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 y -2) x -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 y -2) x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 y -2) x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 y -2) x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 y -2) x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 y -2) x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -2) x -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 y -2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 y -2) x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y -2) x)) 2) (cbrt.f64 (*.f64 (pow.f64 y -2) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (/.f64 1 y)) (*.f64 (sqrt.f64 x) (/.f64 1 y)) -3)))))

simplify187.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1137×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
556×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09372
116372
226372
341372
480372
5230372
6829372
72036372
82202372
92386372
102594372
112893372
123288372
133773372
144339372
155025372
165860372
176254372
186542372
196818372
206894372
216928372
Stop Event
1×node limit
Counts
91 → 48
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (pow.f64 (/.f64 y (/.f64 x y)) -1) 3)
✓0.2b
(/.f64 y (/.f64 x y))
✓0.5b
(pow.f64 (/.f64 y (/.f64 x y)) -1)
Compiler

Compiled 30 to 12 computations (60% saved)

series8.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite211.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
484×log-prod_binary64
382×exp-prod_binary64
266×pow-prod-down_binary64
258×pow2_binary64
179×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
120524
2276824
Stop Event
1×node limit
Counts
3 → 185
Calls
Call 1
Inputs
(pow.f64 (/.f64 y (/.f64 x y)) -1)
(/.f64 y (/.f64 x y))
(-.f64 (pow.f64 (/.f64 y (/.f64 x y)) -1) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 y y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 y y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) (cbrt.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2)) (cbrt.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (sqrt.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) -2) (cbrt.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x y)) 1) (/.f64 (sqrt.f64 (/.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 (/.f64 1 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (/.f64 x y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (/.f64 x y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 y)) (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (sqrt.f64 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) -2) (cbrt.f64 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 y x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 y (/.f64 y x)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (*.f64 y y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 (*.f64 y (/.f64 y x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (*.f64 y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (/.f64 y x))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (/.f64 y x))) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 2 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x y)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x y)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 y (/.f64 y x))) -1/2) (log.f64 (sqrt.f64 (*.f64 y (/.f64 y x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 y x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 2) (cbrt.f64 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 y x))) (sqrt.f64 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (pow.f64 y 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) x) (*.f64 (cbrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) -2) (/.f64 y (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) -1/2) (/.f64 y (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 y x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 y x)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (*.f64 y y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (/.f64 y x)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (/.f64 y x))))) (sqrt.f64 (log.f64 (*.f64 y (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (/.f64 y x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (/.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (/.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (/.f64 y x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (/.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (/.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 2 (log.f64 y)) (*.f64 (log.f64 x) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 y y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 x (*.f64 y y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x (*.f64 y y)) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (*.f64 y y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) 2) (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) (sqrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -3) -27) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2) -9) (/.f64 1 (+.f64 (/.f64 x (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)) (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x (*.f64 y y)) 3) (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -3) -27) (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -3) -27) (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2) (-.f64 9 (*.f64 (/.f64 x (*.f64 y y)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2) -9) (+.f64 (/.f64 x (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -3) -27)) (neg.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2) -9)) (neg.f64 (+.f64 (/.f64 x (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)) (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -3) -27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y y)) 3) (+.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2) -9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 x (*.f64 y y)) -3))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 x (*.f64 y y)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 x (*.f64 y y)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (*.f64 y y)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 x (*.f64 y y)) -3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 x (*.f64 y y)) -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (*.f64 y y)) -3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) (/.f64 1 y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (*.f64 y y)) 1 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (*.f64 y y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) (cbrt.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2)) (cbrt.f64 (/.f64 x (*.f64 y y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (/.f64 x y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (sqrt.f64 (/.f64 x (*.f64 y y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) -2) (cbrt.f64 (/.f64 x (*.f64 y y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (pow.f64 y -2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 x y)) y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 x y)) 1) (/.f64 (sqrt.f64 (/.f64 x y)) y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 (/.f64 1 y) (cbrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (/.f64 x y) (cbrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y -3/2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (/.f64 x y) (sqrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 y)) (/.f64 (neg.f64 x) y) -3)))))

simplify169.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
759×sqr-pow_binary64
436×cube-prod_binary64
434×unswap-sqr_binary64
423×associate-*r/_binary64
416×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010540
117540
228540
346540
495540
5285540
61148540
73131540
83933540
94118540
104334540
114674540
125101540
135584540
146235540
156928540
167763540
Stop Event
1×node limit
Counts
257 → 190
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.8b
(fma.f64 x (pow.f64 y -2) -3)
Compiler

Compiled 15 to 10 computations (33.3% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 x (pow.f64 y -2) -3)
1.0ms
y
@-inf
(fma.f64 x (pow.f64 y -2) -3)
1.0ms
y
@0
(fma.f64 x (pow.f64 y -2) -3)
1.0ms
y
@inf
(fma.f64 x (pow.f64 y -2) -3)
0.0ms
x
@inf
(fma.f64 x (pow.f64 y -2) -3)

rewrite234.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
624×pow1_binary64
581×add-log-exp_binary64
580×log1p-expm1-u_binary64
580×expm1-log1p-u_binary64
568×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11478
216038
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 x (pow.f64 y -2) -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (pow.f64 y -2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (pow.f64 y -2)) 1) -3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (pow.f64 y -2) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (pow.f64 y -2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (pow.f64 y -2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2) (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)) (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) -27) (+.f64 (*.f64 (*.f64 x (pow.f64 y -2)) (*.f64 x (pow.f64 y -2))) (-.f64 9 (*.f64 (*.f64 x (pow.f64 y -2)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (pow.f64 y -2)) (*.f64 x (pow.f64 y -2))) 9) (-.f64 (*.f64 x (pow.f64 y -2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (pow.f64 y -2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (pow.f64 y -2) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (pow.f64 y -2) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (pow.f64 y -2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (pow.f64 y -2) -3)))))))

simplify170.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1132×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
557×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09204
116204
226204
341204
480204
5228204
6833204
72044204
82210204
92394204
102602204
112901204
123294204
133775204
144343204
155029204
165864204
176256204
186544204
196824204
206898204
216934204
Stop Event
1×node limit
Counts
45 → 26
Calls
Call 1
Inputs
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
Outputs
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)

eval183.0ms (2.8%)

Compiler

Compiled 6220 to 3393 computations (45.5% saved)

prune130.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4896495
Fresh303
Picked101
Done415
Total4977504
Error
0b
Counts
504 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
▶33.3b
(-.f64 (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) 3)
20.6b
-3
✓0.1b
(-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3)
▶0.5b
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y)))) 3)
▶47.3b
(/.f64 x (*.f64 y y))
▶0.1b
(-.f64 (/.f64 1 (*.f64 (/.f64 y x) y)) 3)
Compiler

Compiled 128 to 83 computations (35.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (/.f64 x y) y) 3)
✓0.2b
(/.f64 (/.f64 x y) y)
Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (/.f64 x y) y)
0.0ms
y
@inf
(/.f64 (/.f64 x y) y)
0.0ms
x
@inf
(/.f64 (/.f64 x y) y)
0.0ms
x
@inf
(-.f64 (/.f64 (/.f64 x y) y) 3)
0.0ms
x
@-inf
(-.f64 (/.f64 (/.f64 x y) y) 3)

rewrite79.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
943×pow1_binary64
883×add-log-exp_binary64
883×log1p-expm1-u_binary64
883×expm1-log1p-u_binary64
867×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116217
2230117
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(-.f64 (/.f64 (/.f64 x y) y) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (/.f64 x y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 2) (cbrt.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) 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)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x y)) 1) (/.f64 (sqrt.f64 (/.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 1 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 x y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 x y) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 x y) y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (/.f64 (/.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 x y) y) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (/.f64 x y) y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 x y) y) -3)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 x y) y) -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 x y) y) -3)) 2) (cbrt.f64 (+.f64 (/.f64 (/.f64 x y) y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 x y) y) -3)) (sqrt.f64 (+.f64 (/.f64 (/.f64 x y) y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) -27) (/.f64 1 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) -9) (/.f64 1 (+.f64 (/.f64 (/.f64 x y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3))) (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (/.f64 x y) y) 3) (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) -27) (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) -27) (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (-.f64 9 (*.f64 (/.f64 (/.f64 x y) y) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) -9) (+.f64 (/.f64 (/.f64 x y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) -9) (-.f64 (/.f64 (/.f64 x y) y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) -27)) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) -9)) (neg.f64 (+.f64 (/.f64 (/.f64 x y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (/.f64 x y) y) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (/.f64 x y) y) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 x y) y) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 x y) y) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 x y) y) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (/.f64 x y) y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 x y) y) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (/.f64 x y) y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (/.f64 x y) y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 (/.f64 x y) y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) (/.f64 1 y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (/.f64 x y) y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 2) (cbrt.f64 (/.f64 (/.f64 x y) y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y) -3)))))

simplify231.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1137×associate-/r*_binary64
1082×sqr-pow_binary64
560×fabs-mul_binary64
560×cube-prod_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09372
116372
226372
341372
480372
5230372
6829372
72036372
82202372
92386372
102594372
112893372
123288372
133771372
144339372
155029372
165866372
176260372
186548372
196824372
206898372
216934372
Stop Event
1×node limit
Counts
115 → 72
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
8.2b
(/.f64 x (*.f64 y y))
Compiler

Compiled 12 to 4 computations (66.7% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 1 (*.f64 (/.f64 y x) y)) 3)
✓0.2b
(*.f64 (/.f64 y x) y)
✓0.5b
(/.f64 1 (*.f64 (/.f64 y x) y))
Compiler

Compiled 30 to 12 computations (60% saved)

series5.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/.f64 1 (*.f64 (/.f64 y x) y))
0.0ms
x
@-inf
(-.f64 (/.f64 1 (*.f64 (/.f64 y x) y)) 3)
0.0ms
y
@inf
(/.f64 1 (*.f64 (/.f64 y x) y))
0.0ms
x
@-inf
(/.f64 1 (*.f64 (/.f64 y x) y))
0.0ms
y
@-inf
(/.f64 1 (*.f64 (/.f64 y x) y))

rewrite83.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
456×log-prod_binary64
352×exp-prod_binary64
317×prod-exp_binary64
264×pow-prod-down_binary64
247×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0930
119924
2263222
Stop Event
1×node limit
Counts
3 → 152
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (/.f64 y x) y))
(*.f64 (/.f64 y x) y)
(-.f64 (/.f64 1 (*.f64 (/.f64 y x) y)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 y -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y -2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y -2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y -2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y -2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y -2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 y -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 y -2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 y -2) x)) (cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4)) (cbrt.f64 (*.f64 (pow.f64 y -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (sqrt.f64 x))) (/.f64 1 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 y (neg.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y y) x)) -2) (cbrt.f64 (*.f64 (pow.f64 y -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y -2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 y -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 6) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 y y) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 y -2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 y (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (/.f64 (*.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 y (neg.f64 (/.f64 y x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 y -2) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (pow.f64 y -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 y -2) x)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 y -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 y -2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 y -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 y -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 y -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y -2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 y -2) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 y (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y -2) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y -2) x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 y y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 y y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 y y) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 y y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (pow.f64 y -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 4)) (cbrt.f64 (*.f64 (pow.f64 y -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 x)) (/.f64 1 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 (/.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y -2) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (*.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 y y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 y -2) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 y (sqrt.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -6) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 y y) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 y y) x)))) (sqrt.f64 (log.f64 (/.f64 (*.f64 y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 y y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y y)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y -2) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (/.f64 y x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (/.f64 y x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y x)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 y x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y x)) 1) (*.f64 (log.f64 y) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y -2) x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (pow.f64 y -2) x -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 (pow.f64 y -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 y -2) x -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 y -2) x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 y -2) x -3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 y -2) x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 y -2) x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 y -2) x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 y -2) x -3)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 y -2) x -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 y -2) x -3)) 2) (cbrt.f64 (fma.f64 (pow.f64 y -2) x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 y -2) x -3)) (sqrt.f64 (fma.f64 (pow.f64 y -2) x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -6) -27) (/.f64 1 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4) (fma.f64 (*.f64 (pow.f64 y -2) x) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4) -9) (/.f64 1 (fma.f64 (pow.f64 y -2) x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4) (fma.f64 (*.f64 (pow.f64 y -2) x) 3 9)) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -6) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 y -2) x 3) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -6) -27) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4) (fma.f64 (*.f64 (pow.f64 y -2) x) 3 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -6) -27) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4) (-.f64 9 (*.f64 (*.f64 (pow.f64 y -2) x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4) -9) (fma.f64 (pow.f64 y -2) x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -6) -27)) (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4) (fma.f64 (*.f64 (pow.f64 y -2) x) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4) -9)) (neg.f64 (fma.f64 (pow.f64 y -2) x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 y -2) x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 (pow.f64 y -2) x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 y -2) x -3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 y -2) x -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 y -2) x -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 y -2) x -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4) (fma.f64 (*.f64 (pow.f64 y -2) x) 3 9)) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -6) -27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 y -2) x 3) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4) -9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 y -2) x -3))) 2)) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 y -2) x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 y -2) x -3)))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 y -2) x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 y -2) x -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 y -2) x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 y -2) x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 y -2) x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 y -2) x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 y -2) x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 y -2) x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 y -2) x -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (pow.f64 y -2) x -3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 y -2) x -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 y -2) x -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 y -2) x -3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 y -2) x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 y -2) x) 1 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 y -2) x)) (cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4)) (cbrt.f64 (*.f64 (pow.f64 y -2) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (/.f64 y (sqrt.f64 x))) (/.f64 1 (/.f64 y (sqrt.f64 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (*.f64 y (neg.f64 (/.f64 y x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) (/.f64 1 y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y y) x)) -2) (cbrt.f64 (*.f64 (pow.f64 y -2) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (/.f64 x y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -2) x -3)))))

simplify211.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
759×sqr-pow_binary64
436×cube-prod_binary64
434×unswap-sqr_binary64
423×associate-*r/_binary64
416×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010540
117540
228540
346540
495540
5285540
61148540
73131540
83933540
94118540
104334540
114674540
125101540
135584540
146235540
156928540
167763540
Stop Event
1×node limit
Counts
224 → 158
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 (pow.f64 y 2) x)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
(/.f64 y (/.f64 x y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)

localize22.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓0.1b
(/.f64 (/.f64 x y) (sqrt.f64 y))
Compiler

Compiled 36 to 9 computations (75% saved)

series55.0ms (0.8%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
43.0ms
x
@0
(/.f64 (/.f64 x y) (sqrt.f64 y))
2.0ms
y
@-inf
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
2.0ms
y
@-inf
(/.f64 (/.f64 x y) (sqrt.f64 y))
2.0ms
y
@0
(/.f64 (/.f64 x y) (sqrt.f64 y))
1.0ms
y
@inf
(/.f64 (/.f64 x y) (sqrt.f64 y))

rewrite108.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
943×pow1_binary64
882×add-log-exp_binary64
882×log1p-expm1-u_binary64
882×expm1-log1p-u_binary64
80×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0716
115714
2241814
Stop Event
1×node limit
Counts
2 → 86
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (pow.f64 y 3/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 y) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 y 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (pow.f64 y 3/2))) (sqrt.f64 (/.f64 x (pow.f64 y 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) (sqrt.f64 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)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x y)) 1) (sqrt.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 y)) (/.f64 (/.f64 1 y) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (/.f64 x y) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 y 1/4)) (/.f64 (/.f64 1 y) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 (/.f64 x y) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (pow.f64 y 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (pow.f64 y 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (pow.f64 y 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 y) (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 x y) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (pow.f64 y 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (pow.f64 y 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (pow.f64 y 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (pow.f64 y 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (pow.f64 y 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (pow.f64 y 3/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 (pow.f64 y -1/2) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 y 3/2)) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) 2) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 2) (cbrt.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (pow.f64 y 3/2))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y 3/2))) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (sqrt.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (pow.f64 y 3/2)) (/.f64 1 (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 x (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) 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)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x y)) 1) (/.f64 (sqrt.f64 (/.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (/.f64 x (pow.f64 y 3/2)) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 (/.f64 x (pow.f64 y 3/2)) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (pow.f64 y 1/4)) (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 1 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (cbrt.f64 y)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 1) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) 2) 1) (/.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x (pow.f64 y 3/2))) 1) (/.f64 (sqrt.f64 (/.f64 x (pow.f64 y 3/2))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) 2) (cbrt.f64 y)) (cbrt.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x (pow.f64 y 3/2))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 x (pow.f64 y 3/2))) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) 2) (pow.f64 y 1/4)) (/.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 x (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 x (pow.f64 y 3/2)) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (pow.f64 y 3/2)) 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 y y))))))))

simplify83.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
781×fma-def_binary64
685×associate-/r/_binary64
591×distribute-rgt-neg-in_binary64
521×distribute-lft-neg-in_binary64
443×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018312
142312
2110312
3332312
41660312
54333312
67225312
Stop Event
1×node limit
Counts
122 → 90
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 y 2))))
(*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 y 2))))
(*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 y 2))))
(*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 y 2))))
Outputs
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) x)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 y 2))))
(/.f64 x (*.f64 y y))
(*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 y 2))))
(/.f64 x (*.f64 y y))
(*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 y 2))))
(/.f64 x (*.f64 y y))
(*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 y 2))))
(/.f64 x (*.f64 y y))

localize104.0ms (1.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y))))
✓0.2b
(/.f64 y (cbrt.f64 (/.f64 x y)))
✓0.5b
(pow.f64 (cbrt.f64 (/.f64 x y)) 2)
✓10.6b
(cbrt.f64 (/.f64 x y))
Compiler

Compiled 53 to 17 computations (67.9% saved)

series85.0ms (1.3%)

Counts
4 → 24
Calls

24 calls:

TimeVariablePointExpression
41.0ms
y
@0
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y))))
9.0ms
x
@-inf
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y))))
6.0ms
y
@-inf
(cbrt.f64 (/.f64 x y))
4.0ms
y
@-inf
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y))))
3.0ms
x
@0
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y))))

rewrite130.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
522×log-prod_binary64
395×exp-prod_binary64
282×pow-prod-down_binary64
246×pow2_binary64
210×div-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0944
120031
2271931
Stop Event
1×node limit
Counts
4 → 198
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 x y)) 2)
(/.f64 y (cbrt.f64 (/.f64 x y)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) 1/6) (pow.f64 (/.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x y)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 x y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 x y))) 1) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) 1/6) (sqrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (/.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 5) (cbrt.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 x y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 x)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x y)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 x y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 x y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (log.f64 (cbrt.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x y)) 1/3) (log.f64 (cbrt.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 1) (log.f64 (cbrt.f64 (/.f64 y x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (cbrt.f64 (/.f64 y x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (cbrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (cbrt.f64 (/.f64 y x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (cbrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (cbrt.f64 (/.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (cbrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (cbrt.f64 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))) 2) (cbrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) -2) (/.f64 y (cbrt.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)) (cbrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) -1/6) (/.f64 y (pow.f64 (/.f64 x y) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (/.f64 x y) 1/6)) (/.f64 (cbrt.f64 y) (pow.f64 (/.f64 x y) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 x)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (cbrt.f64 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (cbrt.f64 (/.f64 y x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (cbrt.f64 (/.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (/.f64 x y)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (/.f64 x y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 x y)) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (cbrt.f64 (/.f64 y x))))) 2)) (cbrt.f64 (log.f64 (*.f64 y (cbrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))))) (sqrt.f64 (log.f64 (*.f64 y (cbrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (cbrt.f64 (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (cbrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (cbrt.f64 (/.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (cbrt.f64 (/.f64 y x))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (/.f64 x y)) y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (/.f64 x y)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (/.f64 x y)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 x y) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 x y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 x y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 x y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x y)) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (cbrt.f64 (/.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 (cbrt.f64 (/.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 2) (cbrt.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 4) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2) (/.f64 (cbrt.f64 (/.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 1 (*.f64 y (neg.f64 (cbrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 x y)) y) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) y) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 4) y) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 x y)) 1) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2) (*.f64 y (cbrt.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))) 2)) (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))) -2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 4) (pow.f64 (cbrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))) 2)) (cbrt.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (cbrt.f64 (/.f64 y x))) -1/2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 4) (sqrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x))))) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2) (sqrt.f64 (*.f64 y (cbrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (neg.f64 y)) (neg.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) y) 1) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) y) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) y) (pow.f64 (/.f64 x y) 1/6)) (pow.f64 (/.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (*.f64 y (cbrt.f64 (/.f64 y x))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (/.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x y) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 x y) y)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 y (neg.f64 (cbrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (*.f64 y (cbrt.f64 (/.f64 y x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 x y) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 x y) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 x y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x y)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x y)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 x y))) 1) (log.f64 (*.f64 y (cbrt.f64 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 2/3 (log.f64 (/.f64 x y))) (*.f64 (log.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 x y))) 1) (*.f64 (log.f64 (*.f64 y (cbrt.f64 (/.f64 y x)))) 1)))))))

simplify204.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1140×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
111168
220168
335168
475168
5224168
6834168
72043168
82209168
92393168
102601168
112898168
123291168
133772168
144340168
155028168
165863168
176255168
186543168
196819168
206891168
216927168
Stop Event
1×node limit
Counts
222 → 200
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))

eval319.0ms (4.8%)

Compiler

Compiled 9067 to 4394 computations (51.5% saved)

prune128.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New5983601
Fresh011
Picked101
Done235
Total6017608
Error
0b
Counts
608 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
20.6b
-3
▶42.4b
(*.f64 (/.f64 x y) (/.f64 1 y))
▶13.6b
(*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) -27) (/.f64 1 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3)))))
▶34.6b
(-.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -2) 3)
✓0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
✓47.3b
(/.f64 x (*.f64 y y))
✓0.1b
(-.f64 (/.f64 1 (*.f64 (/.f64 y x) y)) 3)
Compiler

Compiled 80 to 53 computations (33.8% saved)

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 (/.f64 x y) y) 3)
✓0.2b
(pow.f64 (/.f64 (/.f64 x y) y) 3)
✓0.6b
(/.f64 1 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3))))
✓13.0b
(*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) -27) (/.f64 1 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3)))))
Compiler

Compiled 121 to 53 computations (56.2% saved)

series33.0ms (0.5%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
17.0ms
x
@-inf
(/.f64 1 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3))))
2.0ms
y
@0
(/.f64 1 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3))))
1.0ms
x
@0
(*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) -27) (/.f64 1 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3)))))
1.0ms
y
@0
(*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) -27) (/.f64 1 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3)))))
1.0ms
y
@inf
(*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) -27) (/.f64 1 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3)))))

rewrite147.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
542×fma-def_binary64
340×fma-neg_binary64
330×expm1-udef_binary64
330×log1p-udef_binary64
267×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01888
141984
2567684
Stop Event
1×node limit
Counts
4 → 134
Calls
Call 1
Inputs
(*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) -27) (/.f64 1 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3)))))
(/.f64 1 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3))))
(pow.f64 (/.f64 (/.f64 x y) y) 3)
(*.f64 (/.f64 (/.f64 x y) y) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))) (*.f64 -27 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -27 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))) (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) (pow.f64 (/.f64 x (*.f64 y y)) 3)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) -27))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) -27) (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) (pow.f64 (/.f64 x (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)) 2) (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)) (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -19683 (pow.f64 (/.f64 x (*.f64 y y)) 9)) (*.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)) (+.f64 (-.f64 729 (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)) (pow.f64 (/.f64 x (*.f64 y y)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 6) -729) (*.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) 27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)) (neg.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -19683 (pow.f64 (/.f64 x (*.f64 y y)) 9)) 1) (*.f64 (+.f64 (-.f64 729 (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)) (pow.f64 (/.f64 x (*.f64 y y)) 6)) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 6) -729) 1) (*.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) 27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -19683 (pow.f64 (/.f64 x (*.f64 y y)) 9)) -1) (*.f64 (+.f64 (-.f64 729 (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)) (pow.f64 (/.f64 x (*.f64 y y)) 6)) (neg.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 6) -729) -1) (*.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) 27) (neg.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 -19683 (pow.f64 (/.f64 x (*.f64 y y)) 9))) (*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) (+.f64 (-.f64 729 (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)) (pow.f64 (/.f64 x (*.f64 y y)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 6) -729)) (*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) 27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (hypot.f64 (/.f64 x (*.f64 y y)) (sqrt.f64 (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))) (hypot.f64 (/.f64 x (*.f64 y y)) (sqrt.f64 (fma.f64 (/.f64 x (*.f64 y y)) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) 1) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -19683 (pow.f64 (/.f64 x (*.f64 y y)) 9)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))) (+.f64 (-.f64 729 (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)) (pow.f64 (/.f64 x (*.f64 y y)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 6) -729) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) 27))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)) (neg.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) -1) (neg.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) (+.f64 -19683 (pow.f64 (/.f64 x (*.f64 y y)) 9))) (+.f64 (-.f64 729 (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)) (pow.f64 (/.f64 x (*.f64 y y)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 6) -729)) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) 27))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27)) (hypot.f64 (/.f64 x (*.f64 y y)) (sqrt.f64 (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) 3) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) -27) (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) (*.f64 -27 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -27 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) (pow.f64 (/.f64 x (*.f64 y y)) 3) (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) -27))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) -27 (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) (pow.f64 (/.f64 x (*.f64 y y)) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (/.f64 x (*.f64 y y)) (sqrt.f64 (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))) (/.f64 1 (hypot.f64 (/.f64 x (*.f64 y y)) (sqrt.f64 (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 (/.f64 x (*.f64 y y)) (sqrt.f64 (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) -1) (pow.f64 (hypot.f64 (/.f64 x (*.f64 y y)) (sqrt.f64 (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 6) (pow.f64 (fma.f64 (/.f64 x (*.f64 y y)) 3 9) 3))) (fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) 3 9) (-.f64 (fma.f64 (/.f64 x (*.f64 y y)) 3 9) (pow.f64 (/.f64 x (*.f64 y y)) 2)) (pow.f64 (/.f64 x (*.f64 y y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) 4) (pow.f64 (fma.f64 (/.f64 x (*.f64 y y)) 3 9) 2))) (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (hypot.f64 (/.f64 x (*.f64 y y)) (sqrt.f64 (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (fma.f64 (/.f64 x (*.f64 y y)) 3 9)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 (pow.f64 y -1) (pow.f64 (/.f64 x (*.f64 y y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y y)) (pow.f64 (/.f64 x (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 x (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 2) (*.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) (pow.f64 (/.f64 x (*.f64 y y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 4)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 2) (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (*.f64 (/.f64 (sqrt.f64 x) y) (pow.f64 (/.f64 x (*.f64 y y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (pow.f64 y -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) 3) (/.f64 1 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3/2) (pow.f64 (/.f64 x (*.f64 y y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 3) (pow.f64 (/.f64 (sqrt.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (/.f64 x y)) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (*.f64 y y)) (cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 4))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 2)) (cbrt.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (/.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 y (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) (pow.f64 (*.f64 y y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (neg.f64 x) y) 3) (pow.f64 (neg.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (/.f64 x y) 3)) (neg.f64 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (pow.f64 (/.f64 x (*.f64 y y)) 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (pow.f64 (/.f64 x (*.f64 y y)) 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (neg.f64 x) y) (pow.f64 (/.f64 x (*.f64 y y)) 2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (/.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (/.f64 (neg.f64 x) y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (*.f64 y y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x y) (/.f64 y 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 x y) 3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x y) 3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x y) 3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x y) 3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 3) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (neg.f64 x) y) 3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (/.f64 (neg.f64 x) y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x y) (/.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (/.f64 y 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3) (/.f64 (sqrt.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 x y) (/.f64 y 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) (/.f64 y 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 x y) (/.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) (/.f64 y 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) (/.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) (/.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 x y) (/.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) (/.f64 y 3))) 1))))))

simplify90.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
463×associate-/r/_binary64
438×associate-/l/_binary64
392×fma-def_binary64
335×times-frac_binary64
315×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01371291
13931175
214581155
350021155
Stop Event
1×node limit
Counts
230 → 168
Calls
Call 1
Inputs
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 9 (pow.f64 y 2)) (*.f64 -9 (pow.f64 y 2))) x))) 3)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 3 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 9 (pow.f64 y 2)) (*.f64 -9 (pow.f64 y 2)))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 9 (pow.f64 y 2)) (*.f64 -9 (pow.f64 y 2))) x)))) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 9 (/.f64 (pow.f64 y 2) x)) (*.f64 -9 (/.f64 (pow.f64 y 2) x)))) 3)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -3 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 9 (pow.f64 y 2)) (*.f64 -9 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 (pow.f64 y 2) x)) (*.f64 9 (/.f64 (pow.f64 y 2) x))))) 3)
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) (pow.f64 y 4)))) 3)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) x) (pow.f64 y 6))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) (pow.f64 y 4))))) 3)
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) (pow.f64 y 4)))) 3)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) x) (pow.f64 y 6))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) (pow.f64 y 4))))) 3)
1/9
(+.f64 1/9 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6))) (+.f64 1/9 (*.f64 -1/27 (/.f64 x (pow.f64 y 2)))))
(+.f64 (*.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6))) (+.f64 1/9 (+.f64 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))) (*.f64 -1/729 (/.f64 (pow.f64 x 4) (pow.f64 y 8))))))
(/.f64 (pow.f64 y 4) (pow.f64 x 2))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (pow.f64 y 8)) (*.f64 9 (pow.f64 y 8))) (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -27 (pow.f64 y 10)) (*.f64 -3 (*.f64 (+.f64 (*.f64 -9 (pow.f64 y 8)) (*.f64 9 (pow.f64 y 8))) (pow.f64 y 2)))) (pow.f64 x 5))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (pow.f64 y 8)) (*.f64 9 (pow.f64 y 8))) (pow.f64 x 4))))))
(/.f64 (pow.f64 y 4) (pow.f64 x 2))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (pow.f64 y 8)) (*.f64 9 (pow.f64 y 8))) (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))) (+.f64 (*.f64 27 (/.f64 (pow.f64 y 10) (pow.f64 x 5))) (+.f64 (*.f64 3 (/.f64 (*.f64 (+.f64 (*.f64 -9 (pow.f64 y 8)) (*.f64 9 (pow.f64 y 8))) (pow.f64 y 2)) (pow.f64 x 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (pow.f64 y 8)) (*.f64 9 (pow.f64 y 8))) (pow.f64 x 4)))))))
(/.f64 (pow.f64 y 4) (pow.f64 x 2))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))) (*.f64 27 (/.f64 (pow.f64 y 10) (pow.f64 x 5)))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))) (+.f64 (*.f64 -81 (/.f64 (pow.f64 y 12) (pow.f64 x 6))) (*.f64 27 (/.f64 (pow.f64 y 10) (pow.f64 x 5))))))
1/9
(+.f64 1/9 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))))
(+.f64 1/9 (+.f64 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/81 (pow.f64 x 2)) (*.f64 -1/81 (pow.f64 x 2))) (pow.f64 y 4)))))
(+.f64 1/9 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 x 2)) (*.f64 -1/81 (pow.f64 x 2))) x)) (*.f64 -1/243 (pow.f64 x 3))) (pow.f64 y 6))) (+.f64 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/81 (pow.f64 x 2)) (*.f64 -1/81 (pow.f64 x 2))) (pow.f64 y 4))))))
1/9
(+.f64 1/9 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))))
(+.f64 1/9 (+.f64 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/81 (pow.f64 x 2)) (*.f64 -1/81 (pow.f64 x 2))) (pow.f64 y 4)))))
(+.f64 1/9 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 x 2)) (*.f64 -1/81 (pow.f64 x 2))) x)) (*.f64 -1/243 (pow.f64 x 3))) (pow.f64 y 6))) (+.f64 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/81 (pow.f64 x 2)) (*.f64 -1/81 (pow.f64 x 2))) (pow.f64 y 4))))))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
Outputs
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 9 (pow.f64 y 2)) (*.f64 -9 (pow.f64 y 2))) x))) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 3 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 9 (pow.f64 y 2)) (*.f64 -9 (pow.f64 y 2)))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 9 (pow.f64 y 2)) (*.f64 -9 (pow.f64 y 2))) x)))) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 9 (/.f64 (pow.f64 y 2) x)) (*.f64 -9 (/.f64 (pow.f64 y 2) x)))) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -3 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 9 (pow.f64 y 2)) (*.f64 -9 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 (pow.f64 y 2) x)) (*.f64 9 (/.f64 (pow.f64 y 2) x))))) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) (pow.f64 y 4)))) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) x) (pow.f64 y 6))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) (pow.f64 y 4))))) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
-3
(-.f64 (/.f64 x (pow.f64 y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) (pow.f64 y 4)))) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) x) (pow.f64 y 6))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) (pow.f64 y 4))))) 3)
(+.f64 (/.f64 x (*.f64 y y)) -3)
(+.f64 -3 (/.f64 x (*.f64 y y)))
1/9
(+.f64 1/9 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))))
(+.f64 1/9 (*.f64 (/.f64 x (*.f64 y y)) -1/27))
(fma.f64 (/.f64 x (*.f64 y y)) -1/27 1/9)
(+.f64 (*.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6))) (+.f64 1/9 (*.f64 -1/27 (/.f64 x (pow.f64 y 2)))))
(fma.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 1/9 (*.f64 (/.f64 x (*.f64 y y)) -1/27)))
(fma.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 (/.f64 x (*.f64 y y)) -1/27 1/9))
(fma.f64 (/.f64 x (*.f64 y y)) -1/27 (fma.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6)) 1/9))
(+.f64 (*.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6))) (+.f64 1/9 (+.f64 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))) (*.f64 -1/729 (/.f64 (pow.f64 x 4) (pow.f64 y 8))))))
(fma.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 1/9 (fma.f64 -1/27 (/.f64 x (*.f64 y y)) (*.f64 -1/729 (/.f64 (pow.f64 x 4) (pow.f64 y 8))))))
(+.f64 (fma.f64 -1/729 (/.f64 (pow.f64 x 4) (pow.f64 y 8)) (*.f64 (/.f64 x (*.f64 y y)) -1/27)) (fma.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6)) 1/9))
(fma.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 (/.f64 x (*.f64 y y)) -1/27 (fma.f64 -1/729 (/.f64 (pow.f64 x 4) (pow.f64 y 8)) 1/9)))
(/.f64 (pow.f64 y 4) (pow.f64 x 2))
(/.f64 (pow.f64 y 4) (*.f64 x x))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 y 4) (*.f64 x x)) (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))))
(fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) (/.f64 (pow.f64 y 4) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (pow.f64 y 8)) (*.f64 9 (pow.f64 y 8))) (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 y 4) (*.f64 x x)) (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))))
(fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) (/.f64 (pow.f64 y 4) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -27 (pow.f64 y 10)) (*.f64 -3 (*.f64 (+.f64 (*.f64 -9 (pow.f64 y 8)) (*.f64 9 (pow.f64 y 8))) (pow.f64 y 2)))) (pow.f64 x 5))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (pow.f64 y 8)) (*.f64 9 (pow.f64 y 8))) (pow.f64 x 4))))))
(+.f64 (/.f64 (pow.f64 y 4) (*.f64 x x)) (fma.f64 -1 (/.f64 (fma.f64 -27 (pow.f64 y 10) (*.f64 -3 (*.f64 (*.f64 y y) (*.f64 (pow.f64 y 8) 0)))) (pow.f64 x 5)) (fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) (neg.f64 (/.f64 (*.f64 (pow.f64 y 8) 0) (pow.f64 x 4))))))
(+.f64 (/.f64 (pow.f64 y 4) (*.f64 x x)) (-.f64 (fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) 0) (/.f64 (fma.f64 -27 (pow.f64 y 10) 0) (pow.f64 x 5))))
(fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) (fma.f64 27 (/.f64 (pow.f64 y 10) (pow.f64 x 5)) (/.f64 (pow.f64 y 4) (*.f64 x x))))
(/.f64 (pow.f64 y 4) (pow.f64 x 2))
(/.f64 (pow.f64 y 4) (*.f64 x x))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 y 4) (*.f64 x x)) (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))))
(fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) (/.f64 (pow.f64 y 4) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (pow.f64 y 8)) (*.f64 9 (pow.f64 y 8))) (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 y 4) (*.f64 x x)) (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))))
(fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) (/.f64 (pow.f64 y 4) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))) (+.f64 (*.f64 27 (/.f64 (pow.f64 y 10) (pow.f64 x 5))) (+.f64 (*.f64 3 (/.f64 (*.f64 (+.f64 (*.f64 -9 (pow.f64 y 8)) (*.f64 9 (pow.f64 y 8))) (pow.f64 y 2)) (pow.f64 x 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (pow.f64 y 8)) (*.f64 9 (pow.f64 y 8))) (pow.f64 x 4)))))))
(+.f64 (/.f64 (pow.f64 y 4) (*.f64 x x)) (fma.f64 -1 (/.f64 (fma.f64 -27 (pow.f64 y 10) (*.f64 -3 (*.f64 (*.f64 y y) (*.f64 (pow.f64 y 8) 0)))) (pow.f64 x 5)) (fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) (neg.f64 (/.f64 (*.f64 (pow.f64 y 8) 0) (pow.f64 x 4))))))
(+.f64 (/.f64 (pow.f64 y 4) (*.f64 x x)) (-.f64 (fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) 0) (/.f64 (fma.f64 -27 (pow.f64 y 10) 0) (pow.f64 x 5))))
(fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) (fma.f64 27 (/.f64 (pow.f64 y 10) (pow.f64 x 5)) (/.f64 (pow.f64 y 4) (*.f64 x x))))
(/.f64 (pow.f64 y 4) (pow.f64 x 2))
(/.f64 (pow.f64 y 4) (*.f64 x x))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 y 4) (*.f64 x x)) (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))))
(fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) (/.f64 (pow.f64 y 4) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))) (*.f64 27 (/.f64 (pow.f64 y 10) (pow.f64 x 5)))))
(+.f64 (/.f64 (pow.f64 y 4) (*.f64 x x)) (fma.f64 -1 (/.f64 (fma.f64 -27 (pow.f64 y 10) (*.f64 -3 (*.f64 (*.f64 y y) (*.f64 (pow.f64 y 8) 0)))) (pow.f64 x 5)) (fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) (neg.f64 (/.f64 (*.f64 (pow.f64 y 8) 0) (pow.f64 x 4))))))
(+.f64 (/.f64 (pow.f64 y 4) (*.f64 x x)) (-.f64 (fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) 0) (/.f64 (fma.f64 -27 (pow.f64 y 10) 0) (pow.f64 x 5))))
(fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) (fma.f64 27 (/.f64 (pow.f64 y 10) (pow.f64 x 5)) (/.f64 (pow.f64 y 4) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 2)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3))) (+.f64 (*.f64 -81 (/.f64 (pow.f64 y 12) (pow.f64 x 6))) (*.f64 27 (/.f64 (pow.f64 y 10) (pow.f64 x 5))))))
(+.f64 (/.f64 (pow.f64 y 4) (*.f64 x x)) (fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) (fma.f64 -81 (/.f64 (pow.f64 y 12) (pow.f64 x 6)) (*.f64 27 (/.f64 (pow.f64 y 10) (pow.f64 x 5))))))
(+.f64 (/.f64 (pow.f64 y 4) (*.f64 x x)) (fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) (fma.f64 -81 (/.f64 (pow.f64 y 12) (pow.f64 x 6)) (/.f64 27 (/.f64 (pow.f64 x 5) (pow.f64 y 10))))))
(+.f64 (fma.f64 -81 (/.f64 (pow.f64 y 12) (pow.f64 x 6)) (*.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)))) (fma.f64 27 (/.f64 (pow.f64 y 10) (pow.f64 x 5)) (/.f64 (pow.f64 y 4) (*.f64 x x))))
(+.f64 (fma.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 3)) (/.f64 (pow.f64 y 4) (*.f64 x x))) (fma.f64 27 (/.f64 (pow.f64 y 10) (pow.f64 x 5)) (*.f64 -81 (/.f64 (pow.f64 y 12) (pow.f64 x 6)))))
1/9
(+.f64 1/9 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))))
(+.f64 1/9 (*.f64 (/.f64 x (*.f64 y y)) -1/27))
(fma.f64 (/.f64 x (*.f64 y y)) -1/27 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/81 (pow.f64 x 2)) (*.f64 -1/81 (pow.f64 x 2))) (pow.f64 y 4)))))
(+.f64 1/9 (*.f64 (/.f64 x (*.f64 y y)) -1/27))
(fma.f64 (/.f64 x (*.f64 y y)) -1/27 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 x 2)) (*.f64 -1/81 (pow.f64 x 2))) x)) (*.f64 -1/243 (pow.f64 x 3))) (pow.f64 y 6))) (+.f64 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/81 (pow.f64 x 2)) (*.f64 -1/81 (pow.f64 x 2))) (pow.f64 y 4))))))
(fma.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 1/9 (*.f64 (/.f64 x (*.f64 y y)) -1/27)))
(fma.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 (/.f64 x (*.f64 y y)) -1/27 1/9))
(fma.f64 (/.f64 x (*.f64 y y)) -1/27 (fma.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6)) 1/9))
1/9
(+.f64 1/9 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))))
(+.f64 1/9 (*.f64 (/.f64 x (*.f64 y y)) -1/27))
(fma.f64 (/.f64 x (*.f64 y y)) -1/27 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/81 (pow.f64 x 2)) (*.f64 -1/81 (pow.f64 x 2))) (pow.f64 y 4)))))
(+.f64 1/9 (*.f64 (/.f64 x (*.f64 y y)) -1/27))
(fma.f64 (/.f64 x (*.f64 y y)) -1/27 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 x 2)) (*.f64 -1/81 (pow.f64 x 2))) x)) (*.f64 -1/243 (pow.f64 x 3))) (pow.f64 y 6))) (+.f64 (*.f64 -1/27 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/81 (pow.f64 x 2)) (*.f64 -1/81 (pow.f64 x 2))) (pow.f64 y 4))))))
(fma.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 1/9 (*.f64 (/.f64 x (*.f64 y y)) -1/27)))
(fma.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 (/.f64 x (*.f64 y y)) -1/27 1/9))
(fma.f64 (/.f64 x (*.f64 y y)) -1/27 (fma.f64 1/243 (/.f64 (pow.f64 x 3) (pow.f64 y 6)) 1/9))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(/.f64 (pow.f64 x 3) (pow.f64 y 6))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))
(*.f64 3 (/.f64 x (pow.f64 y 2)))
(/.f64 (*.f64 3 x) (*.f64 y y))
(*.f64 (/.f64 3 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 3 y))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 x y) (/.f64 1 y))
Compiler

Compiled 18 to 9 computations (50% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 y (sqrt.f64 x))
✓0.1b
(pow.f64 (/.f64 y (sqrt.f64 x)) -2)
Compiler

Compiled 26 to 12 computations (53.8% saved)

series12.0ms (0.2%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow.f64 (/.f64 y (sqrt.f64 x)) -2)
2.0ms
x
@-inf
(pow.f64 (/.f64 y (sqrt.f64 x)) -2)
2.0ms
y
@0
(pow.f64 (/.f64 y (sqrt.f64 x)) -2)
1.0ms
y
@-inf
(pow.f64 (/.f64 y (sqrt.f64 x)) -2)
1.0ms
x
@inf
(pow.f64 (/.f64 y (sqrt.f64 x)) -2)

rewrite65.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
706×pow1_binary64
659×add-log-exp_binary64
658×log1p-expm1-u_binary64
658×expm1-log1p-u_binary64
642×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
115115
2185115
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(pow.f64 (/.f64 y (sqrt.f64 x)) -2)
(/.f64 y (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 y (sqrt.f64 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 y (sqrt.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -2)) (cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4)) (cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) (pow.f64 (pow.f64 x -1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y y) x)) -2) (pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 x))) -2) (pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 (/.f64 y (sqrt.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sqrt.f64 x))) (cbrt.f64 (/.f64 (*.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 y y) x)) (cbrt.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (sqrt.f64 x))) (sqrt.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 y (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 x)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 y (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 y) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sqrt.f64 x))))))))

simplify216.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010192
117192
224192
343192
493192
5281192
61011192
72226192
82392192
92576192
102784192
113081192
123474192
133953192
144521192
155213192
166048192
176440192
186728192
197004192
207074192
217108192
Stop Event
1×node limit
Counts
70 → 49
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))

eval153.0ms (2.3%)

Compiler

Compiled 7022 to 3733 computations (46.8% saved)

prune46.0ms (0.7%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New2902292
Fresh011
Picked011
Done055
Total2909299
Error
0b
Counts
299 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
20.6b
-3
✓42.4b
(*.f64 (/.f64 x y) (/.f64 1 y))
✓13.6b
(*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) -27) (/.f64 1 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3)))))
✓0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
42.4b
(/.f64 (/.f64 x y) y)
✓34.6b
(-.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -2) 3)
42.4b
(/.f64 1 (*.f64 (/.f64 y x) y))
✓47.3b
(/.f64 x (*.f64 y y))
✓0.1b
(-.f64 (/.f64 1 (*.f64 (/.f64 y x) y)) 3)
Compiler

Compiled 96 to 63 computations (34.4% saved)

regimes93.0ms (1.4%)

Counts
20 → 1
Calls
Call 1
Inputs
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y)))) 3)
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y)) 3)
(*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) -27) (/.f64 1 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2) (+.f64 9 (*.f64 (/.f64 (/.f64 x y) y) 3)))))
(-.f64 (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) 3)
(-.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -2) 3)
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) 2) 3)
(fma.f64 x (pow.f64 y -2) -3)
(-.f64 (pow.f64 (/.f64 y (/.f64 x y)) -1) 3)
(-.f64 (*.f64 (pow.f64 y -2) x) 3)
(-.f64 (*.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y)))) 3)
(-.f64 (/.f64 1 (*.f64 (/.f64 y x) y)) 3)
(-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3)
(/.f64 1 (*.f64 (/.f64 y x) y))
(*.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 (/.f64 x y) y) 3)
(-.f64 (/.f64 x (*.f64 y y)) 3)
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
-3
-3
Outputs
(-.f64 (/.f64 (/.f64 x y) y) 3)
Calls

8 calls:

28.0ms
(/.f64 x (*.f64 y y))
11.0ms
x
11.0ms
y
10.0ms
(*.f64 y y)
8.0ms
(*.f64 y y)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1(-.f64 (/.f64 x (*.f64 y y)) 3)
0.1b1(-.f64 (/.f64 x (*.f64 y y)) 3)
0.1b1(/.f64 x (*.f64 y y))
0.1b1(/.f64 x (*.f64 y y))
0.1b1(*.f64 y y)
0.1b1(*.f64 y y)
Compiler

Compiled 225 to 125 computations (44.4% saved)

regimes48.0ms (0.7%)

Accuracy

Total -60.3b remaining (-4237.4%)

Threshold costs -60.3b (-4237.4%)

Counts
4 → 3
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
-3
-3
Outputs
(/.f64 (/.f64 x y) y)
-3
(/.f64 (/.f64 x y) y)
Calls

6 calls:

11.0ms
y
9.0ms
(/.f64 x (*.f64 y y))
9.0ms
(/.f64 x (*.f64 y y))
7.0ms
(*.f64 y y)
6.0ms
(*.f64 y y)
Results
ErrorSegmentsBranch
20.6b1x
8.7b3y
1.4b3(/.f64 x (*.f64 y y))
1.4b3(/.f64 x (*.f64 y y))
8.7b2(*.f64 y y)
8.7b2(*.f64 y y)
Compiler

Compiled 44 to 26 computations (40.9% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.5970677579026715
77355453583.26752
0.0ms
-13.529091399884145
-0.3141565529284598
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01750
11950
22050
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 x y) y) 3)
(if (<=.f64 (/.f64 x (*.f64 y y)) -10) (/.f64 (/.f64 x y) y) (if (<=.f64 (/.f64 x (*.f64 y y)) 2) -3 (/.f64 (/.f64 x y) y)))
-3
Outputs
(-.f64 (/.f64 (/.f64 x y) y) 3)
(+.f64 (/.f64 (/.f64 x y) y) -3)
(if (<=.f64 (/.f64 x (*.f64 y y)) -10) (/.f64 (/.f64 x y) y) (if (<=.f64 (/.f64 x (*.f64 y y)) 2) -3 (/.f64 (/.f64 x y) y)))
-3
Compiler

Compiled 41 to 22 computations (46.3% saved)

soundness0.0ms (0%)

end26.0ms (0.4%)

Compiler

Compiled 37 to 16 computations (56.8% saved)

Profiling

Loading profile data...