Details

Time bar (total: 3.6s)

analyze58.0ms (1.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
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)

sample976.0ms (26.8%)

Results
897.0ms8256×body256valid
67.0ms788×body256invalid

preprocess18.0ms (0.5%)

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 (0.2%)

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)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
5.8b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶5.8b
(+.f64 (/.f64 x (*.f64 y y)) -3)
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
11.4b
(/.f64 x (*.f64 y y))
0.0b
(+.f64 (/.f64 x (*.f64 y y)) -3)
✓0.0b
(+.f64 (/.f64 x (*.f64 y y)) -3)
✓11.4b
(/.f64 x (*.f64 y y))
Compiler

Compiled 20 to 7 computations (65% saved)

series8.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(+.f64 (/.f64 x (*.f64 y y)) -3)
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))

rewrite52.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
872×pow1_binary64
817×add-log-exp_binary64
817×log1p-expm1-u_binary64
817×expm1-log1p-u_binary64
800×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
115815
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 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 expm1.f64 (log1p.f64 (/.f64 x (*.f64 y y))))))))
((#(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 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) (fma.f64 x (pow.f64 y -2) 3)) (/.f64 9 (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 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 -27 (pow.f64 (/.f64 x (*.f64 y y)) 3)) (/.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 -27 (pow.f64 (/.f64 x (*.f64 y y)) 3))))))) (#(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 -27 (pow.f64 (/.f64 x (*.f64 y y)) 3)) (+.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 -27 (pow.f64 (/.f64 x (*.f64 y y)) 3)) (+.f64 9 (-.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)) (*.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 (neg.f64 (+.f64 -27 (pow.f64 (/.f64 x (*.f64 y y)) 3))) (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 /.f64 (-.f64 9 (/.f64 (*.f64 x x) (pow.f64 y 4))) (-.f64 -3 (/.f64 x (*.f64 y y))))))) (#(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 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 expm1.f64 (log1p.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)))))

simplify131.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
1126×associate-/r*_binary64
1106×sqr-pow_binary64
561×cube-prod_binary64
556×fabs-mul_binary64
536×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09372
116372
226372
341372
480372
5228372
6809372
72020372
82186372
92370372
102578372
112869372
123262372
133742372
144305372
154989372
165824372
176218372
186506372
196782372
206858372
216894372
Stop Event
1×node limit
Counts
110 → 67
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)

eval16.0ms (0.4%)

Compiler

Compiled 827 to 485 computations (41.4% saved)

prune10.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New62567
Fresh000
Picked011
Done000
Total62668
Error
0.0b
Counts
68 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(+.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) -3)
✓5.8b
(+.f64 (/.f64 x (*.f64 y y)) -3)
▶55.1b
(expm1.f64 (log1p.f64 (fma.f64 x (pow.f64 y -2) -3)))
▶0.2b
(+.f64 (pow.f64 (/.f64 y (/.f64 x y)) -1) -3)
▶6.6b
(+.f64 (*.f64 x (pow.f64 y -2)) -3)
23.0b
-3
Compiler

Compiled 53 to 40 computations (24.5% saved)

localize27.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
11.8b
(*.f64 x (pow.f64 y -2))
0.0b
(+.f64 (*.f64 x (pow.f64 y -2)) -3)
✓0.0b
(+.f64 (*.f64 x (pow.f64 y -2)) -3)
✓11.8b
(*.f64 x (pow.f64 y -2))
Compiler

Compiled 21 to 14 computations (33.3% saved)

series3.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite61.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
832×pow1_binary64
777×add-log-exp_binary64
776×log1p-expm1-u_binary64
776×expm1-log1p-u_binary64
762×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
117815
2211115
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 x (pow.f64 y -2))
(+.f64 (*.f64 x (pow.f64 y -2)) -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (pow.f64 y -2))) 1)))) (#(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 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 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 x (pow.f64 y -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y -4) (*.f64 x x)))))) (#(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 cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3))))) (#(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 expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y -2))))))))
((#(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 (/.f64 (*.f64 (pow.f64 y -4) (*.f64 x x)) (fma.f64 x (pow.f64 y -2) 3)) (/.f64 9 (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 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 -27 (pow.f64 (*.f64 x (pow.f64 y -2)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 y -4) (*.f64 x x)) (-.f64 9 (*.f64 x (*.f64 (pow.f64 y -2) -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y -4) (*.f64 x x)) -9) (/.f64 1 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 y -4) (*.f64 x x)) (-.f64 9 (*.f64 x (*.f64 (pow.f64 y -2) -3)))) (+.f64 -27 (pow.f64 (*.f64 x (pow.f64 y -2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (pow.f64 y -2) 3) (+.f64 (*.f64 (pow.f64 y -4) (*.f64 x x)) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -27 (pow.f64 (*.f64 x (pow.f64 y -2)) 3)) (+.f64 (*.f64 (pow.f64 y -4) (*.f64 x x)) (-.f64 9 (*.f64 x (*.f64 (pow.f64 y -2) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -27 (pow.f64 (*.f64 x (pow.f64 y -2)) 3)) (+.f64 9 (-.f64 (*.f64 (pow.f64 y -4) (*.f64 x x)) (*.f64 x (*.f64 (pow.f64 y -2) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y -4) (*.f64 x x)) -9) (fma.f64 x (pow.f64 y -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -27 (pow.f64 (*.f64 x (pow.f64 y -2)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 y -4) (*.f64 x x)) (-.f64 9 (*.f64 x (*.f64 (pow.f64 y -2) -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y -4) (*.f64 x x)) -9)) (neg.f64 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 (pow.f64 y -4) (*.f64 x x))) (-.f64 -3 (*.f64 x (pow.f64 y -2))))))) (#(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 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 expm1.f64 (log1p.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 (pow.f64 y -2) x -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 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 2) (cbrt.f64 (*.f64 x (pow.f64 y -2))) -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)))))

simplify128.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1126×associate-/r*_binary64
1106×sqr-pow_binary64
561×cube-prod_binary64
556×fabs-mul_binary64
536×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09372
116372
226372
341372
480372
5228372
6809372
72020372
82186372
92370372
102578372
112869372
123262372
133742372
144305372
154989372
165824372
176218372
186506372
196782372
206858372
216894372
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))
-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)

localize24.0ms (0.7%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.4b
(pow.f64 (/.f64 y (/.f64 x y)) -1)
0.2b
(/.f64 y (/.f64 x y))
0.0b
(+.f64 (pow.f64 (/.f64 y (/.f64 x y)) -1) -3)
✓0.0b
(+.f64 (pow.f64 (/.f64 y (/.f64 x y)) -1) -3)
✓0.2b
(/.f64 y (/.f64 x y))
✓0.4b
(pow.f64 (/.f64 y (/.f64 x y)) -1)
Compiler

Compiled 30 to 12 computations (60% saved)

series7.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

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

rewrite59.0ms (1.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
120424
2275924
Stop Event
1×node limit
Counts
3 → 183
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))) (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 (/.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 (pow.f64 (cbrt.f64 y) 2)) (/.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) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 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(2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x (*.f64 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 (/.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))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.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 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 (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)) (/.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)) (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 (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)))))

simplify206.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
783×sqr-pow_binary64
439×cube-prod_binary64
434×unswap-sqr_binary64
423×associate-*r/_binary64
423×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010540
117540
228540
346540
496540
5268540
61070540
73069540
83871540
94056540
104272540
114597540
125022540
135500540
146144540
156837540
167676540
Stop Event
1×node limit
Counts
255 → 188
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 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.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)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
6.1b
(fma.f64 x (pow.f64 y -2) -3)
1.3b
(expm1.f64 (log1p.f64 (fma.f64 x (pow.f64 y -2) -3)))
✓1.3b
(expm1.f64 (log1p.f64 (fma.f64 x (pow.f64 y -2) -3)))
✓6.1b
(fma.f64 x (pow.f64 y -2) -3)
Compiler

Compiled 30 to 21 computations (30% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 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)
0.0ms
y
@0
(fma.f64 x (pow.f64 y -2) -3)
0.0ms
x
@-inf
(fma.f64 x (pow.f64 y -2) -3)
0.0ms
y
@inf
(fma.f64 x (pow.f64 y -2) -3)

rewrite45.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
706×pow1_binary64
656×add-log-exp_binary64
656×expm1-log1p-u_binary64
655×log1p-expm1-u_binary64
641×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
116816
2181316
Stop Event
1×node limit
Counts
2 → 48
Calls
Call 1
Inputs
(fma.f64 x (pow.f64 y -2) -3)
(expm1.f64 (log1p.f64 (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 (fma.f64 x (pow.f64 y -2) -3) 1) -1)))) (#(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 (fma.f64 x (pow.f64 y -2) -3) 1) 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 (fma.f64 x (pow.f64 y -2) -3) 1) 3) 1) (+.f64 (*.f64 (+.f64 (fma.f64 x (pow.f64 y -2) -3) 1) (+.f64 (fma.f64 x (pow.f64 y -2) -3) 1)) (+.f64 1 (*.f64 (+.f64 (fma.f64 x (pow.f64 y -2) -3) 1) 1))))))) (#(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 (fma.f64 x (pow.f64 y -2) -3) 1) (+.f64 (fma.f64 x (pow.f64 y -2) -3) 1)) 1) (+.f64 (+.f64 (fma.f64 x (pow.f64 y -2) -3) 1) 1))))) (#(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 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 expm1.f64 (log1p.f64 (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 (+.f64 (fma.f64 x (pow.f64 y -2) -3) 1) -1)))) (#(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 (fma.f64 x (pow.f64 y -2) -3) 1) 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 (fma.f64 x (pow.f64 y -2) -3) 1) 3) 1) (+.f64 (*.f64 (+.f64 (fma.f64 x (pow.f64 y -2) -3) 1) (+.f64 (fma.f64 x (pow.f64 y -2) -3) 1)) (+.f64 1 (*.f64 (+.f64 (fma.f64 x (pow.f64 y -2) -3) 1) 1))))))) (#(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 (fma.f64 x (pow.f64 y -2) -3) 1) (+.f64 (fma.f64 x (pow.f64 y -2) -3) 1)) 1) (+.f64 (+.f64 (fma.f64 x (pow.f64 y -2) -3) 1) 1))))) (#(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 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)))))

simplify154.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
1127×associate-/r*_binary64
1106×sqr-pow_binary64
561×cube-prod_binary64
556×fabs-mul_binary64
536×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09408
116408
226408
341408
480408
5223408
6817408
72026408
82192408
92376408
102584408
112877408
123268408
133748408
144309408
154993408
165830408
176222408
186510408
196788408
206866408
216900408
Stop Event
1×node limit
Counts
96 → 30
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)
-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)
-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)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (/.f64 x y) (/.f64 1 y))
0.0b
(+.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) -3)
✓0.0b
(+.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) -3)
✓0.3b
(*.f64 (/.f64 x y) (/.f64 1 y))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite59.0ms (1.6%)

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
119917
2263715
Stop Event
1×node limit
Counts
2 → 142
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 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(pow.f64 y -1/2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (pow.f64 y -1/2) (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)))))

simplify129.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1126×associate-/r*_binary64
1106×sqr-pow_binary64
561×cube-prod_binary64
556×fabs-mul_binary64
536×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09372
116372
226372
341372
480372
5228372
6809372
72020372
82186372
92370372
102578372
112869372
123262372
133742372
144305372
154989372
165824372
176218372
186506372
196782372
206858372
216894372
Stop Event
1×node limit
Counts
190 → 146
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)

eval151.0ms (4.1%)

Compiler

Compiled 5349 to 3034 computations (43.3% saved)

prune55.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4075412
Fresh101
Picked101
Done314
Total4126418
Error
0b
Counts
418 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(+.f64 (/.f64 (/.f64 x y) y) -3)
▶0.1b
(fma.f64 (/.f64 x y) (/.f64 1 y) -3)
▶0.2b
(+.f64 (/.f64 1 (*.f64 y (/.f64 y x))) -3)
23.0b
-3
▶0.1b
(+.f64 (/.f64 (/.f64 1 y) (/.f64 y x)) -3)
✓5.8b
(+.f64 (/.f64 x (*.f64 y y)) -3)
Compiler

Compiled 53 to 38 computations (28.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (/.f64 1 y) (/.f64 y x))
0.0b
(+.f64 (/.f64 (/.f64 1 y) (/.f64 y x)) -3)
✓0.0b
(+.f64 (/.f64 (/.f64 1 y) (/.f64 y x)) -3)
✓0.3b
(/.f64 (/.f64 1 y) (/.f64 y x))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series3.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite54.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
500×log-prod_binary64
385×exp-prod_binary64
280×pow-prod-down_binary64
255×pow2_binary64
212×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120415
2287415
Stop Event
1×node limit
Counts
2 → 121
Calls
Call 1
Inputs
(/.f64 (/.f64 1 y) (/.f64 y x))
(+.f64 (/.f64 (/.f64 1 y) (/.f64 y x)) -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 (exp.f64 (*.f64 x (pow.f64 y -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (pow.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (pow.f64 y -2))))) (log.f64 (sqrt.f64 (exp.f64 (*.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 1 (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 2) (cbrt.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (pow.f64 y -2))) (sqrt.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (/.f64 1 (/.f64 (neg.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 y -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (pow.f64 y -1/2) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -3/2) (/.f64 (pow.f64 y -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) y) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) -2) (/.f64 (/.f64 1 y) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y -1/2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y x) -1/2) (/.f64 (/.f64 1 y) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 (/.f64 y x))) (/.f64 (/.f64 1 (cbrt.f64 y)) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 y -2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 y -2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 y -2) (sqrt.f64 x)) (sqrt.f64 x))))) (#(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 (*.f64 (pow.f64 y -4) (*.f64 x x)) 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 (sqrt.f64 (*.f64 x (pow.f64 y -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y -6) (pow.f64 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 y x)) 1) -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 neg.f64 (/.f64 (/.f64 1 y) (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y -4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.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 (*.f64 (pow.f64 y -6) (pow.f64 x 3)))))) (#(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 (sqrt.f64 (*.f64 x (pow.f64 y -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (pow.f64 y -2)))) 1/3))))) (#(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 (*.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 expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (pow.f64 y -2) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 y -4) (*.f64 x x)) (fma.f64 x (pow.f64 y -2) 3)) (/.f64 9 (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 (fma.f64 (pow.f64 y -6) (pow.f64 x 3) -27) (/.f64 1 (-.f64 (fma.f64 (pow.f64 y -4) (*.f64 x x) 9) (*.f64 (*.f64 x (pow.f64 y -2)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 y -4) (*.f64 x x) -9) (/.f64 1 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 y -4) (*.f64 x x) 9) (*.f64 (*.f64 x (pow.f64 y -2)) -3)) (fma.f64 (pow.f64 y -6) (pow.f64 x 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (pow.f64 y -2) 3) (fma.f64 (pow.f64 y -4) (*.f64 x x) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 y -6) (pow.f64 x 3) -27) (-.f64 (fma.f64 (pow.f64 y -4) (*.f64 x x) 9) (*.f64 (*.f64 x (pow.f64 y -2)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 y -6) (pow.f64 x 3) -27) (+.f64 9 (-.f64 (*.f64 (pow.f64 y -4) (*.f64 x x)) (*.f64 (*.f64 x (pow.f64 y -2)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 y -4) (*.f64 x x) -9) (fma.f64 x (pow.f64 y -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 y -6) (pow.f64 x 3) -27)) (neg.f64 (-.f64 (fma.f64 (pow.f64 y -4) (*.f64 x x) 9) (*.f64 (*.f64 x (pow.f64 y -2)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 y -4) (*.f64 x x) -9)) (neg.f64 (fma.f64 x (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 (pow.f64 y -4) (*.f64 x x))) (-.f64 -3 (*.f64 x (pow.f64 y -2))))))) (#(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 (fma.f64 (pow.f64 y -4) (*.f64 x x) 9) (*.f64 (*.f64 x (pow.f64 y -2)) -3)) (fma.f64 (pow.f64 y -6) (pow.f64 x 3) -27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (pow.f64 y -2) 3) (fma.f64 (pow.f64 y -4) (*.f64 x x) -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 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 expm1.f64 (log1p.f64 (fma.f64 x (pow.f64 y -2) -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 x (pow.f64 y -2) -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 (*.f64 x (pow.f64 y -2))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 2) (cbrt.f64 (*.f64 x (pow.f64 y -2))) -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 (sqrt.f64 (*.f64 x (pow.f64 y -2))) (sqrt.f64 (*.f64 x (pow.f64 y -2))) -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 -1 y) (/.f64 1 (/.f64 (neg.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 y -2) x -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 y x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (pow.f64 y -1/2) (/.f64 y x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -3/2) (/.f64 (pow.f64 y -1/2) (/.f64 1 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) y) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) -2) (/.f64 (/.f64 1 y) (cbrt.f64 (/.f64 y x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 x (pow.f64 y -2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 y -1/2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (/.f64 y x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 y x) -1/2) (/.f64 (/.f64 1 y) (sqrt.f64 (/.f64 y x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 (/.f64 y x))) (/.f64 (/.f64 1 (cbrt.f64 y)) (sqrt.f64 (/.f64 y x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 1 y) 1) (/.f64 x y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 1 y) (neg.f64 y)) (neg.f64 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 y -2) 1) x -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 y -2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 y -2) (sqrt.f64 x)) (sqrt.f64 x) -3)))))

simplify131.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
1126×associate-/r*_binary64
1106×sqr-pow_binary64
561×cube-prod_binary64
556×fabs-mul_binary64
536×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09372
116372
226372
341372
480372
5228372
6809372
72020372
82186372
92370372
102578372
112869372
123262372
133742372
144305372
154989372
165824372
176218372
186506372
196782372
206858372
216894372
Stop Event
1×node limit
Counts
169 → 126
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)

localize9.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (*.f64 y (/.f64 y x)))
0.2b
(*.f64 y (/.f64 y x))
0.0b
(+.f64 (/.f64 1 (*.f64 y (/.f64 y x))) -3)
✓0.0b
(+.f64 (/.f64 1 (*.f64 y (/.f64 y x))) -3)
✓0.2b
(*.f64 y (/.f64 y x))
✓0.4b
(/.f64 1 (*.f64 y (/.f64 y x)))
Compiler

Compiled 30 to 12 computations (60% saved)

series4.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite64.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
460×log-prod_binary64
355×exp-prod_binary64
319×prod-exp_binary64
265×pow-prod-down_binary64
250×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0930
119824
2261322
Stop Event
1×node limit
Counts
3 → 156
Calls
Call 1
Inputs
(/.f64 1 (*.f64 y (/.f64 y x)))
(*.f64 y (/.f64 y x))
(+.f64 (/.f64 1 (*.f64 y (/.f64 y x))) -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 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((x fma.f64 (/.f64 (pow.f64 y -1) 1) (/.f64 x y) -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 (/.f64 (pow.f64 y -1) (neg.f64 y)) (neg.f64 x) -3)))))

simplify110.0ms (3%)

Algorithm
1×egg-herbie
Rules
783×sqr-pow_binary64
439×cube-prod_binary64
434×unswap-sqr_binary64
423×associate-*r/_binary64
423×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010540
117540
228540
346540
496540
5268540
61070540
73069540
83871540
94056540
104272540
114597540
125022540
135500540
146144540
156837540
167676540
Stop Event
1×node limit
Counts
228 → 163
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 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 y (/.f64 y x))
(/.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)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (/.f64 x y) (/.f64 1 y) -3)
✓0.1b
(fma.f64 (/.f64 x y) (/.f64 1 y) -3)
Compiler

Compiled 20 to 11 computations (45% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(fma.f64 (/.f64 x y) (/.f64 1 y) -3)
0.0ms
x
@0
(fma.f64 (/.f64 x y) (/.f64 1 y) -3)
0.0ms
x
@inf
(fma.f64 (/.f64 x y) (/.f64 1 y) -3)
0.0ms
x
@-inf
(fma.f64 (/.f64 x y) (/.f64 1 y) -3)
0.0ms
y
@inf
(fma.f64 (/.f64 x y) (/.f64 1 y) -3)

rewrite57.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
772×pow1_binary64
715×add-log-exp_binary64
715×log1p-expm1-u_binary64
715×expm1-log1p-u_binary64
700×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
116310
2196510
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 (/.f64 x y) (/.f64 1 y) -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (/.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 (*.f64 (/.f64 (/.f64 x y) y) 1) -3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 -3 (/.f64 (/.f64 x y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -3 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -3 (/.f64 (/.f64 x y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -3 (/.f64 (/.f64 x y) y))) (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 (/.f64 x y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 (/.f64 x y) y))) 2) (cbrt.f64 (+.f64 -3 (/.f64 (/.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -3 (/.f64 (/.f64 x y) y))) (sqrt.f64 (+.f64 -3 (/.f64 (/.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) -27) (+.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 x y) y)) (-.f64 9 (*.f64 (/.f64 (/.f64 x y) y) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 x y) y)) 9) (-.f64 (/.f64 (/.f64 x y) y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -3 (/.f64 (/.f64 x y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -3 (/.f64 (/.f64 x y) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 (/.f64 x y) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -3 (/.f64 (/.f64 x y) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -3 (/.f64 (/.f64 x y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -3 (/.f64 (/.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -3 (/.f64 (/.f64 x y) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -3 (/.f64 (/.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -3 (/.f64 (/.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -3 (/.f64 (/.f64 x y) y))))))))

simplify116.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1127×associate-/r*_binary64
1106×sqr-pow_binary64
561×cube-prod_binary64
556×fabs-mul_binary64
536×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09204
116204
226204
341204
480204
5223204
6817204
72026204
82192204
92376204
102584204
112877204
123268204
133748204
144309204
154993204
165830204
176222204
186510204
196788204
206866204
216900204
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)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 x y) y)
0.0b
(+.f64 (/.f64 (/.f64 x y) y) -3)
✓0.0b
(+.f64 (/.f64 (/.f64 x y) y) -3)
✓0.1b
(/.f64 (/.f64 x y) y)
Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite56.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
944×pow1_binary64
884×add-log-exp_binary64
884×log1p-expm1-u_binary64
884×expm1-log1p-u_binary64
868×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116117
2230417
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 x (*.f64 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 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))) (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 (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 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 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 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 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 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 cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))))) (#(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 expm1.f64 (log1p.f64 (/.f64 x (*.f64 y y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 x (*.f64 y y)) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (+.f64 (/.f64 x (*.f64 y y)) 3)) (/.f64 9 (+.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 -27 (pow.f64 (/.f64 x (*.f64 y y)) 3)) (/.f64 1 (+.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 1 (+.f64 (/.f64 x (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (-.f64 9 (*.f64 (/.f64 x (*.f64 y y)) -3))) (+.f64 -27 (pow.f64 (/.f64 x (*.f64 y y)) 3))))))) (#(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 -27 (pow.f64 (/.f64 x (*.f64 y y)) 3)) (+.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 -27 (pow.f64 (/.f64 x (*.f64 y y)) 3)) (+.f64 9 (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2) (*.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 -27 (pow.f64 (/.f64 x (*.f64 y y)) 3))) (neg.f64 (+.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 (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 /.f64 (-.f64 9 (pow.f64 (/.f64 x (*.f64 y y)) 2)) (-.f64 -3 (/.f64 x (*.f64 y y))))))) (#(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 cbrt.f64 (pow.f64 (+.f64 (/.f64 x (*.f64 y y)) -3) 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 expm1.f64 (log1p.f64 (+.f64 (/.f64 x (*.f64 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 x (*.f64 y y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.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)))))

simplify134.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
1126×associate-/r*_binary64
1106×sqr-pow_binary64
561×cube-prod_binary64
556×fabs-mul_binary64
536×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09372
116372
226372
341372
480372
5228372
6809372
72020372
82186372
92370372
102578372
112869372
123262372
133742372
144305372
154989372
165824372
176218372
186506372
196782372
206858372
216894372
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)

eval128.0ms (3.5%)

Compiler

Compiled 4889 to 2977 computations (39.1% saved)

prune50.0ms (1.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3852387
Fresh101
Picked011
Done134
Total3876393
Error
0b
Counts
393 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(+.f64 (/.f64 (/.f64 x y) y) -3)
✓0.1b
(fma.f64 (/.f64 x y) (/.f64 1 y) -3)
✓0.2b
(+.f64 (/.f64 1 (*.f64 y (/.f64 y x))) -3)
▶45.6b
(/.f64 x (*.f64 y y))
✓0.1b
(+.f64 (/.f64 (/.f64 1 y) (/.f64 y x)) -3)
23.0b
-3
Compiler

Compiled 51 to 36 computations (29.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
11.4b
(/.f64 x (*.f64 y y))
11.4b
(/.f64 x (*.f64 y y))
Compiler

Compiled 12 to 4 computations (66.7% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

eval8.0ms (0.2%)

Compiler

Compiled 294 to 133 computations (54.8% saved)

prune7.0ms (0.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New32133
Fresh011
Picked011
Done044
Total32739
Error
0b
Counts
39 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓45.6b
(/.f64 x (*.f64 y y))
39.9b
(*.f64 (/.f64 1 y) (/.f64 x y))
✓0.1b
(+.f64 (/.f64 (/.f64 x y) y) -3)
✓0.1b
(fma.f64 (/.f64 x y) (/.f64 1 y) -3)
✓0.2b
(+.f64 (/.f64 1 (*.f64 y (/.f64 y x))) -3)
✓0.1b
(+.f64 (/.f64 (/.f64 1 y) (/.f64 y x)) -3)
23.0b
-3
Compiler

Compiled 60 to 42 computations (30% saved)

regimes147.0ms (4%)

Counts
7 → 1
Calls
Call 1
Inputs
-3
(/.f64 x (*.f64 y y))
(+.f64 (/.f64 (/.f64 x y) y) -3)
(*.f64 (/.f64 1 y) (/.f64 x y))
(+.f64 (/.f64 (/.f64 1 y) (/.f64 y x)) -3)
(+.f64 (/.f64 1 (*.f64 y (/.f64 y x))) -3)
(fma.f64 (/.f64 x y) (/.f64 1 y) -3)
Outputs
(+.f64 (/.f64 (/.f64 x y) y) -3)
Calls

6 calls:

78.0ms
x
50.0ms
(/.f64 x (*.f64 y y))
5.0ms
y
5.0ms
(*.f64 y y)
4.0ms
(*.f64 y y)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
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 78 to 45 computations (42.3% saved)

regimes45.0ms (1.2%)

Accuracy

Total -55.5b remaining (-841.4%)

Threshold costs -55.5b (-841.4%)

Counts
2 → 3
Calls
Call 1
Inputs
-3
(/.f64 x (*.f64 y y))
Outputs
(/.f64 x (*.f64 y y))
-3
(/.f64 x (*.f64 y y))
Calls

4 calls:

22.0ms
x
10.0ms
y
7.0ms
(/.f64 x (*.f64 y y))
5.0ms
(*.f64 y y)
Results
ErrorSegmentsBranch
17.7b6x
14.1b3y
6.6b3(/.f64 x (*.f64 y y))
14.4b2(*.f64 y y)
Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch24.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
13.0ms
1.8434315384772266
6.284103509203916
11.0ms
-1777.9954560540855
-1.6576077500844611e-15
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01650
11750
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (/.f64 x y) y) -3)
(if (<=.f64 (/.f64 x (*.f64 y y)) -1954926678064359/1099511627776) (/.f64 x (*.f64 y y)) (if (<=.f64 (/.f64 x (*.f64 y y)) 4151038794884529/2251799813685248) -3 (/.f64 x (*.f64 y y))))
-3
Outputs
(+.f64 (/.f64 (/.f64 x y) y) -3)
(if (<=.f64 (/.f64 x (*.f64 y y)) -1954926678064359/1099511627776) (/.f64 x (*.f64 y y)) (if (<=.f64 (/.f64 x (*.f64 y y)) 4151038794884529/2251799813685248) -3 (/.f64 x (*.f64 y y))))
-3

end26.0ms (0.7%)

Stop Event
1×fuel
Compiler

Compiled 78 to 36 computations (53.8% saved)

Profiling

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