Details

Time bar (total: 1.4s)

analyze101.0ms (7.1%)

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
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample697.0ms (49.2%)

Results
663.0ms8224×body128valid
5.0ms69×body128invalid
3.0ms11×body2048valid
3.0ms13×body1024valid
1.0msbody512valid
0.0msbody256valid
Compiler

Compiled 16 to 12 computations (25% saved)

preprocess21.0ms (1.5%)

Algorithm
egg-herbie
Rules
86×fma-neg_binary64
48×fma-def_binary64
26×cancel-sign-sub-inv_binary64
24×distribute-rgt-in_binary64
22×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11414
23414
36614
411014
517914
626714
736814
841614
941814
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 500 (-.f64 x y))
(*.f64 500 (-.f64 y x))
Outputs
(*.f64 500 (-.f64 x y))
(*.f64 500 (-.f64 y x))
(*.f64 (-.f64 x y) -500)
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify13.0ms (0.9%)

Algorithm
egg-herbie
Rules
113×fma-def_binary64
83×fma-neg_binary64
32×distribute-rgt-in_binary64
27×cancel-sign-sub-inv_binary64
19×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2207
3407
4677
5967
61677
72707
83827
94557
105397
115557
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 500 (-.f64 x y))
Outputs
(*.f64 500 (-.f64 x y))

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(*.f64 500 (-.f64 x y))
Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 500 (-.f64 x y))

series5.0ms (0.4%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(*.f64 500 (-.f64 x y))
1.0ms
x
@inf
(*.f64 500 (-.f64 x y))
0.0ms
x
@0
(*.f64 500 (-.f64 x y))
0.0ms
x
@-inf
(*.f64 500 (-.f64 x y))
0.0ms
y
@-inf
(*.f64 500 (-.f64 x y))

rewrite33.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
703×pow1_binary64
657×add-log-exp_binary64
657×log1p-expm1-u_binary64
657×expm1-log1p-u_binary64
69×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11317
217317
Stop Event
node limit
Counts
1 → 18
Calls
Call 1
Inputs
(*.f64 500 (-.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 500) (*.f64 (neg.f64 y) 500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 x) (*.f64 500 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 500 (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 500) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 500) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 500 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 500 (-.f64 x y))))))))

simplify22.0ms (1.5%)

Algorithm
egg-herbie
Rules
141×fma-def_binary64
102×fma-neg_binary64
46×cancel-sign-sub-inv_binary64
24×sub-neg_binary64
21×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09150
119150
233150
349150
477150
5123150
6213150
7311150
8391150
9503150
10557150
11563150
Stop Event
saturated
Counts
42 → 22
Calls
Call 1
Inputs
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
Outputs
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))

prune12.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New19322
Fresh000
Picked011
Done000
Total19423
Error
0.0b
Counts
23 → 4
Alt Table
StatusErrorProgram
49.9b
(sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000))
0.0b
(*.f64 500 (-.f64 x y))
33.2b
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
0.0b
(-.f64 (*.f64 500 x) (*.f64 500 y))
Compiler

Compiled 267 to 165 computations (38.2% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 500 x) (*.f64 500 y))

series8.0ms (0.6%)

Counts
1 → 6
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(-.f64 (*.f64 500 x) (*.f64 500 y))
1.0ms
x
@0
(-.f64 (*.f64 500 x) (*.f64 500 y))
0.0ms
y
@0
(-.f64 (*.f64 500 x) (*.f64 500 y))
0.0ms
x
@inf
(-.f64 (*.f64 500 x) (*.f64 500 y))
0.0ms
y
@inf
(-.f64 (*.f64 500 x) (*.f64 500 y))

rewrite43.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
811×log1p-expm1-u_binary64
811×expm1-log1p-u_binary64
84×add-sqr-sqrt_binary64
80×*-un-lft-identity_binary64
80×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11657
222317
Stop Event
node limit
Counts
1 → 53
Calls
Call 1
Inputs
(-.f64 (*.f64 500 x) (*.f64 500 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 x) (*.f64 y -500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 x) (*.f64 (*.f64 y -500) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 x) (+.f64 (*.f64 y -500) (+.f64 (*.f64 y -500) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 (-.f64 x y)) (+.f64 (*.f64 y -500) (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 (-.f64 x y)) (fma.f64 -500 y (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 (-.f64 x y)) (fma.f64 (*.f64 y -500) 1 (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 500 y))) (cbrt.f64 (*.f64 (*.f64 y y) 250000)) (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 500 y))) (sqrt.f64 (*.f64 500 y)) (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 (-.f64 x y)) (*.f64 (+.f64 (*.f64 y -500) (*.f64 500 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 (-.f64 x y)) (+.f64 (+.f64 (*.f64 y -500) (*.f64 500 y)) (+.f64 (*.f64 y -500) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y -500) (*.f64 500 y)) (*.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -500) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 500 (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 2) (cbrt.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 3) 125000000) (pow.f64 (*.f64 500 y) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 250000) (*.f64 (*.f64 500 y) (*.f64 500 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 250000) (*.f64 (*.f64 y y) 250000)) (/.f64 1 (*.f64 500 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) 500)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 500 x)) (sqrt.f64 (*.f64 500 y))) (-.f64 (sqrt.f64 (*.f64 500 x)) (sqrt.f64 (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 250000) (*.f64 (*.f64 500 y) (*.f64 500 (+.f64 x y)))) (-.f64 (*.f64 (pow.f64 x 3) 125000000) (pow.f64 (*.f64 500 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 500 (+.f64 x y)) (-.f64 (*.f64 (*.f64 x x) 250000) (*.f64 (*.f64 y y) 250000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 3) 125000000) (pow.f64 (*.f64 500 y) 3)) (+.f64 (*.f64 (*.f64 x x) 250000) (*.f64 (*.f64 500 y) (*.f64 500 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 250000) (*.f64 (*.f64 y y) 250000)) (*.f64 500 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 125000000) (pow.f64 (*.f64 500 y) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 250000) (*.f64 (*.f64 500 y) (*.f64 500 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 250000) (*.f64 (*.f64 y y) 250000))) (neg.f64 (*.f64 500 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 125000000) (pow.f64 (*.f64 y -500) 3)) (+.f64 (*.f64 (*.f64 x x) 250000) (-.f64 (*.f64 (*.f64 y -500) (*.f64 y -500)) (*.f64 (*.f64 500 x) (*.f64 y -500)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) (pow.f64 (+.f64 (*.f64 y -500) (*.f64 500 y)) 3)) (+.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 2) (-.f64 (*.f64 (+.f64 (*.f64 y -500) (*.f64 500 y)) (+.f64 (*.f64 y -500) (*.f64 500 y))) (*.f64 (*.f64 500 (-.f64 x y)) (+.f64 (*.f64 y -500) (*.f64 500 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 250000) (*.f64 (*.f64 y -500) (*.f64 y -500))) (-.f64 (*.f64 500 x) (*.f64 y -500)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 2) (*.f64 (+.f64 (*.f64 y -500) (*.f64 500 y)) (+.f64 (*.f64 y -500) (*.f64 500 y)))) (-.f64 (*.f64 500 (-.f64 x y)) (+.f64 (*.f64 y -500) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 500) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 500 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 500 (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500 x (*.f64 y -500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500 (-.f64 x y) (+.f64 (*.f64 y -500) (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 500 (*.f64 y -500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 500 x) (*.f64 y -500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 500 (-.f64 x y)) (+.f64 (*.f64 y -500) (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 2) (cbrt.f64 (*.f64 500 (-.f64 x y))) (+.f64 (*.f64 y -500) (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 500 x)) 2) (cbrt.f64 (*.f64 500 x)) (*.f64 y -500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))) (+.f64 (*.f64 y -500) (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 500 x)) (sqrt.f64 (*.f64 500 x)) (*.f64 y -500))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 500 (-.f64 x y))))))))

simplify7.0ms (0.5%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
1924
Stop Event
saturated
Counts
59 → 55
Calls
Call 1
Inputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 -500 y)
Outputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 -500 y)

prune30.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New54155
Fresh022
Picked101
Done011
Total55459
Error
0b
Counts
59 → 4
Alt Table
StatusErrorProgram
0.0b
(fma.f64 500 x (*.f64 y -500))
49.9b
(sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000))
0.0b
(*.f64 500 (-.f64 x y))
33.2b
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
Compiler

Compiled 875 to 574 computations (34.4% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 500 x (*.f64 y -500))

series3.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 500 x (*.f64 y -500))
0.0ms
x
@0
(fma.f64 500 x (*.f64 y -500))
0.0ms
y
@-inf
(fma.f64 500 x (*.f64 y -500))
0.0ms
y
@inf
(fma.f64 500 x (*.f64 y -500))
0.0ms
y
@0
(fma.f64 500 x (*.f64 y -500))

rewrite32.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
606×pow1_binary64
560×add-log-exp_binary64
560×log1p-expm1-u_binary64
560×expm1-log1p-u_binary64
69×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11408
215138
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 500 x (*.f64 y -500))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -500) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 x) (*.f64 y -500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 500 x) 1) (*.f64 y -500))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 500 x (*.f64 y -500)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 500 x (*.f64 y -500)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 500 x (*.f64 y -500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 500 x (*.f64 y -500))) (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 y -500))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 y -500))) 2) (cbrt.f64 (fma.f64 500 x (*.f64 y -500))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 500 x (*.f64 y -500))) (sqrt.f64 (fma.f64 500 x (*.f64 y -500))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 500 x) 3) (pow.f64 (*.f64 y -500) 3)) (+.f64 (*.f64 (*.f64 500 x) (*.f64 500 x)) (-.f64 (*.f64 250000 (*.f64 y y)) (*.f64 (*.f64 500 x) (*.f64 y -500)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 500 x) (*.f64 500 x)) (*.f64 250000 (*.f64 y y))) (-.f64 (*.f64 500 x) (*.f64 y -500)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 500 x (*.f64 y -500)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 500 x (*.f64 y -500)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 y -500))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 500 x (*.f64 y -500))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 500 x (*.f64 y -500)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 500 x (*.f64 y -500))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 500 x (*.f64 y -500)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 500 x (*.f64 y -500)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 500 x (*.f64 y -500))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 500 x (*.f64 y -500))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 500 x (*.f64 y -500))))))))

simplify20.0ms (1.4%)

Algorithm
egg-herbie
Rules
141×fma-def_binary64
102×fma-neg_binary64
46×cancel-sign-sub-inv_binary64
24×sub-neg_binary64
21×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09150
119150
233150
349150
477150
5123150
6213150
7311150
8391150
9503150
10557150
11563150
Stop Event
saturated
Counts
46 → 26
Calls
Call 1
Inputs
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
Outputs
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))

prune14.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh022
Picked011
Done011
Total26430
Error
0b
Counts
30 → 4
Alt Table
StatusErrorProgram
0.0b
(fma.f64 500 x (*.f64 y -500))
49.9b
(sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000))
0.0b
(*.f64 500 (-.f64 x y))
33.2b
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
Compiler

Compiled 333 to 246 computations (26.1% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)
4.7b
(-.f64 (*.f64 x x) (*.f64 y y))
30.9b
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))

series9.0ms (0.6%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
1.0ms
y
@0
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
1.0ms
y
@inf
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
1.0ms
x
@inf
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
1.0ms
x
@-inf
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))

rewrite75.0ms (5.3%)

Algorithm
batch-egg-rewrite
Rules
527×fma-def_binary64
244×fma-neg_binary64
206×expm1-udef_binary64
206×log1p-udef_binary64
150×egg-rr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01042
123530
2350730
Stop Event
node limit
Counts
3 → 245
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 500 (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) 1/500)) (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (*.f64 (+.f64 x y) 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 500 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 500 (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 500 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (*.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 2)) (cbrt.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -500) (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) 500)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (/.f64 500 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 500 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 500 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (+.f64 x y))) (/.f64 500 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 500 (sqrt.f64 (+.f64 x y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 500 (-.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 500 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 500 (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 500 (-.f64 x y))))))))
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(hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) 500) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (+.f64 x y)) (-.f64 x y) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (+.f64 x y)) (-.f64 x y) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y))))) (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y))))) (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)))))))

simplify42.0ms (3%)

Algorithm
egg-herbie
Rules
637×distribute-rgt-in_binary64
526×associate-*l*_binary64
355×associate-*r*_binary64
320×fma-def_binary64
258×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019636
148636
298636
3221636
4719636
52867636
Stop Event
node limit
Counts
317 → 261
Calls
Call 1
Inputs
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 -1 (pow.f64 y 2))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(*.f64 -1 (pow.f64 y 2))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(*.f64 -1 (pow.f64 y 2))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(*.f64 -500 (pow.f64 y 2))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (pow.f64 x 2))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (pow.f64 x 2))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (pow.f64 x 2))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 -500 (pow.f64 y 2))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 -500 (pow.f64 y 2))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
Outputs
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 500 x)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 -500 y)
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (*.f64 500 x) (*.f64 500 y))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 -500 (pow.f64 y 2))
(*.f64 -500 (*.f64 y y))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (*.f64 x x))
(*.f64 x (*.f64 500 x))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (*.f64 x x))
(*.f64 x (*.f64 500 x))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (*.f64 x x))
(*.f64 x (*.f64 500 x))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(*.f64 -500 (pow.f64 y 2))
(*.f64 -500 (*.f64 y y))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(*.f64 -500 (pow.f64 y 2))
(*.f64 -500 (*.f64 y y))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))
(-.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (pow.f64 y 2)))
(*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 -500 (*.f64 (+.f64 y x) (-.f64 y x)))

prune120.0ms (8.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2610261
Fresh011
Picked011
Done022
Total2614265
Error
0b
Counts
265 → 4
Alt Table
StatusErrorProgram
0.0b
(fma.f64 500 x (*.f64 y -500))
49.9b
(sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000))
0.0b
(*.f64 500 (-.f64 x y))
33.2b
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
Compiler

Compiled 5760 to 1831 computations (68.2% saved)

regimes43.0ms (3%)

Accuracy

Total 0.0b remaining (81.3%)

Threshold costs 0.0b (81.3%)

Counts
14 → 1
Compiler

Compiled 129 to 79 computations (38.8% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2147
3167
4177
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 500 (-.f64 x y))
Outputs
(*.f64 500 (-.f64 x y))

end49.0ms (3.4%)

Stop Event
fuel
Compiler

Compiled 54 to 38 computations (29.6% saved)

Profiling

Loading profile data...