Details

Time bar (total: 1.6s)

analyze135.0ms (8.6%)

Algorithm
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
71.8%7.6%20.6%13
72.6%6.1%21.3%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample766.0ms (49.2%)

Results
719.0ms8256×body128valid
33.0ms375×body128invalid
Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess16.0ms (1%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11114
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 x (*.f64 y y))
(/.f64 y (*.f64 x x))
Outputs
(/.f64 x (*.f64 y y))
(/.f64 y (*.f64 x x))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify6.0ms (0.4%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
Outputs
(/.f64 x (*.f64 y y))

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
10.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
10.5b
(/.f64 x (*.f64 y y))
Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
10.2b
(/.f64 x (*.f64 y y))

series4.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

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

rewrite37.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
568×pow1_binary64
529×add-log-exp_binary64
529×log1p-expm1-u_binary64
529×expm1-log1p-u_binary64
515×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11067
214467
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
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 *.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 1 (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) (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 (pow.f64 y -2))))))) (#(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 (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 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 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 (pow.f64 y -2))))))) (#(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 (pow.f64 y -2)) 1)))) (#(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 pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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 (pow.f64 y -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y -2))))))))

simplify64.0ms (4.1%)

Algorithm
egg-herbie
Rules
607×sqr-pow_binary64
434×unswap-sqr_binary64
354×cube-prod_binary64
335×associate-/l/_binary64
271×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
111168
220168
335168
475168
5209168
6754168
71962168
82128168
92312168
102520168
112811168
123202168
133680168
144241168
154925168
Stop Event
node limit
Counts
56 → 34
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)

prune25.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New28634
Fresh000
Picked011
Done000
Total28735
Error
0.0b
Counts
35 → 7
Alt Table
StatusErrorProgram
0.3b
(*.f64 (/.f64 x y) (/.f64 1 y))
10.5b
(/.f64 x (*.f64 y y))
10.6b
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 y -2)))
10.0b
(*.f64 x (pow.f64 y -2))
0.2b
(/.f64 (/.f64 x y) y)
0.7b
(pow.f64 (/.f64 y (/.f64 x y)) -1)
30.3b
(pow.f64 (/.f64 (sqrt.f64 x) y) 2)
Compiler

Compiled 417 to 257 computations (38.4% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 x y) y)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite41.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
640×pow1_binary64
595×add-log-exp_binary64
595×log1p-expm1-u_binary64
595×expm1-log1p-u_binary64
56×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11097
215857
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
Outputs
((#(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 x (*.f64 (pow.f64 y -1) (pow.f64 y -1)))))) (#(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) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) (cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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)) (pow.f64 y -1)))))) (#(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)) (pow.f64 y -1)))))) (#(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 (pow.f64 y -1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) y) (/.f64 (cbrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (pow.f64 y -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 x y)) 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 (pow.f64 y -1) (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 (pow.f64 y -1) (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 (pow.f64 (/.f64 x (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) y) 2)))) (#(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 log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 y y))))))))

simplify64.0ms (4.1%)

Algorithm
egg-herbie
Rules
607×sqr-pow_binary64
434×unswap-sqr_binary64
354×cube-prod_binary64
335×associate-/l/_binary64
271×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
111168
220168
335168
475168
5209168
6754168
71962168
82128168
92312168
102520168
112811168
123202168
133680168
144241168
154925168
Stop Event
node limit
Counts
62 → 40
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)

prune27.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New39140
Fresh235
Picked011
Done101
Total42547
Error
0.0b
Counts
47 → 5
Alt Table
StatusErrorProgram
0.7b
(pow.f64 (*.f64 y (/.f64 y x)) -1)
30.3b
(pow.f64 (/.f64 (sqrt.f64 x) y) 2)
10.6b
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 y -2)))
10.0b
(*.f64 x (pow.f64 y -2))
0.2b
(/.f64 (/.f64 x y) y)
Compiler

Compiled 477 to 218 computations (54.3% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 y (/.f64 y x))
0.7b
(pow.f64 (*.f64 y (/.f64 y x)) -1)

series8.0ms (0.5%)

Counts
2 → 48
Calls

12 calls:

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

rewrite39.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
753×pow1_binary64
700×log1p-expm1-u_binary64
700×expm1-log1p-u_binary64
75×add-sqr-sqrt_binary64
72×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
115014
2192614
Stop Event
node limit
Counts
2 → 50
Calls
Call 1
Inputs
(pow.f64 (*.f64 y (/.f64 y x)) -1)
(*.f64 y (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 2) (cbrt.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (sqrt.f64 x))) (/.f64 1 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -1) (pow.f64 (/.f64 y (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 y (sqrt.f64 x))) (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 2)) (cbrt.f64 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 y x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 y x))))))))

simplify58.0ms (3.7%)

Algorithm
egg-herbie
Rules
434×unswap-sqr_binary64
423×associate-*r/_binary64
396×associate-/r/_binary64
341×associate-/l/_binary64
328×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07336
112336
222336
340336
491336
5280336
61113336
73110336
83912336
94097336
104313336
114639336
Stop Event
node limit
Counts
98 → 54
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)
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 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))

prune28.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New54054
Fresh033
Picked011
Done011
Total54559
Error
0.0b
Counts
59 → 5
Alt Table
StatusErrorProgram
0.7b
(pow.f64 (*.f64 y (/.f64 y x)) -1)
30.3b
(pow.f64 (/.f64 (sqrt.f64 x) y) 2)
10.6b
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 y -2)))
10.0b
(*.f64 x (pow.f64 y -2))
0.2b
(/.f64 (/.f64 x y) y)
Compiler

Compiled 577 to 267 computations (53.7% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
9.6b
(*.f64 x (pow.f64 y -2))

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite31.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
545×pow1_binary64
505×add-log-exp_binary64
504×log1p-expm1-u_binary64
504×expm1-log1p-u_binary64
493×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11257
214067
Stop Event
node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 x (pow.f64 y -2))
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 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) 1/3)))) (#(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) (pow.f64 y -1)) 2)))) (#(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 x) (pow.f64 y -2)))))) (#(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 cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 y -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y -2))))))))

simplify63.0ms (4%)

Algorithm
egg-herbie
Rules
607×sqr-pow_binary64
434×unswap-sqr_binary64
354×cube-prod_binary64
335×associate-/l/_binary64
271×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
111168
220168
335168
475168
5209168
6754168
71962168
82128168
92312168
102520168
112811168
123202168
133680168
144241168
154925168
Stop Event
node limit
Counts
37 → 15
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)

prune8.0ms (0.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New15015
Fresh022
Picked011
Done022
Total15520
Error
0.0b
Counts
20 → 5
Alt Table
StatusErrorProgram
0.7b
(pow.f64 (*.f64 y (/.f64 y x)) -1)
30.3b
(pow.f64 (/.f64 (sqrt.f64 x) y) 2)
10.6b
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 y -2)))
10.0b
(*.f64 x (pow.f64 y -2))
0.2b
(/.f64 (/.f64 x y) y)
Compiler

Compiled 161 to 115 computations (28.6% saved)

regimes61.0ms (3.9%)

Accuracy

Total 0.1b remaining (85%)

Threshold costs 0.1b (85%)

Counts
20 → 1
Compiler

Compiled 183 to 97 computations (47% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
Outputs
(/.f64 (/.f64 x y) y)

end56.0ms (3.6%)

Stop Event
fuel
Compiler

Compiled 58 to 38 computations (34.5% saved)

Profiling

Loading profile data...