Details

Time bar (total: 3.9s)

analyze92.0ms (2.4%)

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
Compiler

Compiled 8 to 6 computations (25% saved)

sample1.6s (40.1%)

Results
1.5s8234×body256valid
10.0ms79×body256invalid
3.0ms11×body1024valid
2.0msbody2048valid
1.0msbody512valid

preprocess36.0ms (0.9%)

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
37014
411414
518514
627314
737414
842214
942414
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))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify23.0ms (0.6%)

Algorithm
egg-herbie
Rules
113×fma-def_binary64
83×fma-neg_binary64
31×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
83837
94567
105407
115567
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 500 (-.f64 x y))
Outputs
(*.f64 500 (-.f64 x y))

eval1.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 7 to 5 computations (28.6% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 6 computations (53.8% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite85.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
703×pow1_binary64
657×add-log-exp_binary64
657×log1p-expm1-u_binary64
657×expm1-log1p-u_binary64
644×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11317
217357
Stop Event
node limit
Counts
1 → 17
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 (+.f64 1 (*.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 cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (log.f64 (*.f64 500 (-.f64 x y))))))))

simplify31.0ms (0.8%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08168
112168
215168
Stop Event
saturated
Counts
41 → 21
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))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))

eval8.0ms (0.2%)

Compiler

Compiled 184 to 107 computations (41.8% saved)

prune18.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New15621
Fresh000
Picked011
Done000
Total15722
Error
0.0b
Counts
22 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
31.7b
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
0.0b
(*.f64 500 (-.f64 x y))
29.6b
(*.f64 500 x)
0.0b
(fma.f64 -500 y (*.f64 500 x))
0.0b
(+.f64 (*.f64 500 x) (*.f64 -500 y))
33.9b
(*.f64 -500 y)
46.6b
(sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000))
Compiler

Compiled 111 to 81 computations (27% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 15 to 10 computations (33.3% saved)

series8.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@0
(fma.f64 -500 y (*.f64 500 x))
1.0ms
y
@0
(fma.f64 -500 y (*.f64 500 x))
1.0ms
y
@-inf
(fma.f64 -500 y (*.f64 500 x))
1.0ms
x
@inf
(fma.f64 -500 y (*.f64 500 x))
1.0ms
x
@-inf
(fma.f64 -500 y (*.f64 500 x))

rewrite64.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
606×pow1_binary64
560×add-log-exp_binary64
560×log1p-expm1-u_binary64
560×expm1-log1p-u_binary64
550×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11408
215138
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 -500 y (*.f64 500 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 x) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -500 y) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -500 y) 1) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -500 y (*.f64 500 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -500 y (*.f64 500 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -500 y (*.f64 500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -500 y (*.f64 500 x))) (pow.f64 (cbrt.f64 (fma.f64 -500 y (*.f64 500 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -500 y (*.f64 500 x))) 2) (cbrt.f64 (fma.f64 -500 y (*.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -500 y (*.f64 500 x))) (sqrt.f64 (fma.f64 -500 y (*.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -500 y) 3) (pow.f64 (*.f64 500 x) 3)) (+.f64 (*.f64 (*.f64 -500 y) (*.f64 -500 y)) (-.f64 (*.f64 (*.f64 x x) 250000) (*.f64 (*.f64 -500 y) (*.f64 500 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -500 y) (*.f64 -500 y)) (*.f64 (*.f64 x x) 250000)) (-.f64 (*.f64 -500 y) (*.f64 500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -500 y (*.f64 500 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -500 y (*.f64 500 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -500 y (*.f64 500 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -500 y (*.f64 500 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -500 y (*.f64 500 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -500 y (*.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -500 y (*.f64 500 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -500 y (*.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -500 y (*.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -500 y (*.f64 500 x))))))))

simplify20.0ms (0.5%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08168
112168
215168
Stop Event
saturated
Counts
45 → 24
Calls
Call 1
Inputs
(*.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 -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))
Outputs
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))

localize6.0ms (0.2%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize14.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 13 computations (31.6% saved)

series12.0ms (0.3%)

Counts
1 → 6
Calls

6 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(+.f64 (*.f64 500 x) (*.f64 -500 y))
1.0ms
y
@inf
(+.f64 (*.f64 500 x) (*.f64 -500 y))
1.0ms
x
@inf
(+.f64 (*.f64 500 x) (*.f64 -500 y))
1.0ms
x
@0
(+.f64 (*.f64 500 x) (*.f64 -500 y))
0.0ms
y
@-inf
(+.f64 (*.f64 500 x) (*.f64 -500 y))

rewrite73.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
850×pow1_binary64
793×add-log-exp_binary64
793×log1p-expm1-u_binary64
793×expm1-log1p-u_binary64
778×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
11718
221678
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 500 x) (*.f64 -500 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 500 x (*.f64 -500 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 500 x) 2) (+.f64 (*.f64 500 x) (*.f64 500 y))) (/.f64 (pow.f64 (*.f64 -500 y) 2) (+.f64 (*.f64 500 x) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 500 x (*.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 500 x (*.f64 -500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2) (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))) (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2)) (/.f64 1 (+.f64 (*.f64 500 x) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x)))) (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 500 x) (*.f64 500 y)) (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 -500 y) 2) (-.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 500 (*.f64 x (*.f64 -500 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2)) (+.f64 (*.f64 500 x) (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2))) (neg.f64 (+.f64 (*.f64 500 x) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -500 y) 2) (pow.f64 (*.f64 500 x) 2)) (-.f64 (*.f64 -500 y) (*.f64 500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 500 x (*.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500 x (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 500 (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -500 y (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -500 (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 500 x) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -500 y) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -500 y)) 2) (cbrt.f64 (*.f64 -500 y)) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 500 x)) 2) (cbrt.f64 (*.f64 500 x)) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -500 y)) (sqrt.f64 (*.f64 -500 y)) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 500 x)) (sqrt.f64 (*.f64 500 x)) (*.f64 -500 y))))))

simplify13.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
1924
Stop Event
saturated
Counts
43 → 39
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)

localize48.0ms (1.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)
2.5b
(-.f64 (*.f64 x x) (*.f64 y y))
29.9b
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
Compiler

Compiled 43 to 12 computations (72.1% saved)

series18.0ms (0.5%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
y
@0
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
2.0ms
x
@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
y
@-inf
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))

rewrite151.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
591×log-prod_binary64
527×fma-def_binary64
304×pow2_binary64
244×fma-neg_binary64
208×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01042
123530
2352030
Stop Event
node limit
Counts
3 → 272
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 0 (*.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 500 (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 500 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 500 (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 500 (-.f64 x 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 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))) (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 (-.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 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(#(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 (pow.f64 (+.f64 x y) -1/2) (/.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 y (-.f64 y x) (*.f64 x 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 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(*.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 expm1.f64 (log1p.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 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 +.f64 (*.f64 x x) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (fma.f64 y (neg.f64 y) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 y (neg.f64 y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (*.f64 y (neg.f64 y)) 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 y) 4) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) 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egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 500) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 500) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) 500) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (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))))))))

simplify192.0ms (4.9%)

Algorithm
egg-herbie
Rules
897×fma-neg_binary64
784×fma-def_binary64
693×distribute-rgt-neg-in_binary64
486×unswap-sqr_binary64
264×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017690
137672
268672
3132672
4353672
51140672
62250672
75703672
Stop Event
node limit
Counts
344 → 288
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 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (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 (*.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))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x x (neg.f64 (*.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)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (*.f64 x x))
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (*.f64 x x))
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))
(*.f64 500 (pow.f64 x 2))
(*.f64 500 (*.f64 x x))
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x 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)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x 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)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y)))
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x)))

eval121.0ms (3.1%)

Compiler

Compiled 6992 to 2712 computations (61.2% saved)

prune56.0ms (1.4%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New3492351
Fresh101
Picked011
Done055
Total3508358
Error
0b
Counts
358 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
31.7b
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
0.0b
(*.f64 500 (-.f64 x y))
0.0b
(fma.f64 x 500 (*.f64 -500 y))
29.6b
(*.f64 500 x)
0.0b
(fma.f64 -500 y (*.f64 500 x))
0.0b
(+.f64 (*.f64 500 x) (*.f64 -500 y))
33.9b
(*.f64 -500 y)
31.8b
(*.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500))
Compiler

Compiled 74 to 52 computations (29.7% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x y))
0.2b
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)
2.5b
(-.f64 (*.f64 x x) (*.f64 y y))
29.9b
(*.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500))
Compiler

Compiled 51 to 17 computations (66.7% saved)

series6.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500))
1.0ms
x
@0
(/.f64 1 (+.f64 x y))
1.0ms
x
@inf
(/.f64 1 (+.f64 x y))
1.0ms
y
@inf
(/.f64 1 (+.f64 x y))
0.0ms
y
@-inf
(/.f64 1 (+.f64 x y))

rewrite66.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
631×log-prod_binary64
586×fma-def_binary64
327×pow2_binary64
244×fma-neg_binary64
226×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01226
126914
2377314
Stop Event
node limit
Counts
2 → 65
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500))
(/.f64 1 (+.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) 500)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) 500))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) 500))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) 500))))))) (#(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 1 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (+.f64 x y) 500))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 500 (/.f64 (+.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))) 2) (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))) (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) -1) (neg.f64 (+.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 (*.f64 (pow.f64 (-.f64 x y) 2) 250000) 1/2)))) (#(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 (pow.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) 3) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) (pow.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) 3) (pow.f64 (/.f64 1 (+.f64 x y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))) -1)))) (#(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 (-.f64 x y)) 500))))) (#(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 x y) (*.f64 500 (-.f64 x y))) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) (pow.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) 3) (pow.f64 (/.f64 1 (+.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 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 +.f64 0 (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -2)) (/.f64 1 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) -1/2) (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x y) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x y))) 1))))))

simplify61.0ms (1.6%)

Algorithm
egg-herbie
Rules
745×associate-/l*_binary64
608×associate-/r*_binary64
587×fma-def_binary64
447×associate-*l/_binary64
322×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039684
1103642
2296606
31225582
47857582
Stop Event
node limit
Counts
113 → 83
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 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
Outputs
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 x x) (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) -1)))
(fma.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) -1)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x))))
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))))
(fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3))))
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))
(-.f64 (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x))))
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))))
(fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3))))
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))
(-.f64 (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x))))
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))))
(fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3))))
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))
(-.f64 (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 x x) (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) -1)))
(fma.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) -1)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 x x) (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) -1)))
(fma.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) -1)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1))))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 15 to 10 computations (33.3% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite46.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
606×pow1_binary64
560×add-log-exp_binary64
560×log1p-expm1-u_binary64
560×expm1-log1p-u_binary64
550×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11408
215128
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 x 500 (*.f64 -500 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -500 y) (*.f64 x 500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 500) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 500) 1) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 500 (*.f64 -500 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 500 (*.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 500 (*.f64 -500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 500 (*.f64 -500 y))) (pow.f64 (cbrt.f64 (fma.f64 x 500 (*.f64 -500 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 500 (*.f64 -500 y))) 2) (cbrt.f64 (fma.f64 x 500 (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 500 (*.f64 -500 y))) (sqrt.f64 (fma.f64 x 500 (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 500) 3) (pow.f64 (*.f64 -500 y) 3)) (+.f64 (*.f64 (*.f64 x 500) (*.f64 x 500)) (-.f64 (*.f64 250000 (*.f64 y y)) (*.f64 (*.f64 x 500) (*.f64 -500 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 500) (*.f64 x 500)) (*.f64 250000 (*.f64 y y))) (-.f64 (*.f64 x 500) (*.f64 -500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 500 (*.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 500 (*.f64 -500 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 500 (*.f64 -500 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 500 (*.f64 -500 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 500 (*.f64 -500 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 500 (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 500 (*.f64 -500 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 500 (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 500 (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 500 (*.f64 -500 y))))))))

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08168
112168
215168
Stop Event
saturated
Counts
45 → 25
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))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 500 x)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(*.f64 -500 y)
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(fma.f64 500 x (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))

eval101.0ms (2.6%)

Compiler

Compiled 7545 to 3067 computations (59.4% saved)

prune53.0ms (1.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3391340
Fresh000
Picked011
Done257
Total3417348
Error
0b
Counts
348 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
31.7b
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
0.0b
(*.f64 500 (-.f64 x y))
0.0b
(fma.f64 x 500 (*.f64 -500 y))
29.6b
(*.f64 500 x)
0.0b
(+.f64 (*.f64 500 x) (*.f64 -500 y))
33.9b
(*.f64 -500 y)
31.6b
(/.f64 1 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))))
Compiler

Compiled 66 to 45 computations (31.8% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 500 (-.f64 x y))
0.1b
(*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))
0.3b
(/.f64 1 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))))
29.9b
(/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))
Compiler

Compiled 54 to 21 computations (61.1% saved)

series42.0ms (1.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
34.0ms
x
@-inf
(*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))
1.0ms
x
@0
(/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))
1.0ms
x
@inf
(/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))
1.0ms
y
@0
(*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))
1.0ms
y
@0
(/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))

rewrite209.0ms (5.4%)

Algorithm
batch-egg-rewrite
Rules
600×log-prod_binary64
561×prod-diff_binary64
290×pow2_binary64
254×fma-def_binary64
202×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01154
124627
2361727
Stop Event
node limit
Counts
3 → 150
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))
(/.f64 1 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))))
(*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 500 (-.f64 x y)))))) (#(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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 500) (-.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 500) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 500) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 500) (-.f64 x 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 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 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) (/.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) 3) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (/.f64 1/500 (-.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))) (sqrt.f64 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 250000 (pow.f64 (-.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 cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (log.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/500 (-.f64 x y))) -1))))) (#(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 fma.f64 x 500 (*.f64 (neg.f64 y) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500 x (*.f64 500 (neg.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 500 (-.f64 x y))) (*.f64 y (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 500 (-.f64 x y))) (*.f64 x (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (+.f64 x y) 500)) (*.f64 (neg.f64 y) (*.f64 (+.f64 x y) 500)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 500 (-.f64 x y)) x) (*.f64 (*.f64 500 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 500 (-.f64 x y)) y) (*.f64 (*.f64 500 (-.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 x y) 500) x) (*.f64 (*.f64 (+.f64 x y) 500) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 500 (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 500 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 500 (-.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 500 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 500 (-.f64 x y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 500 (-.f64 x y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 500 (-.f64 x y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 500 (-.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) 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 (*.f64 (+.f64 x y) 500) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 500 (-.f64 x y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 500 (-.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 500 (-.f64 x y)) (*.f64 y (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (+.f64 x y) 500) (*.f64 (neg.f64 y) (*.f64 (+.f64 x y) 500)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 500 (-.f64 x y)) (*.f64 x (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (-.f64 x y)) x (*.f64 (*.f64 500 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (-.f64 x y)) y (*.f64 (*.f64 500 (-.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x y) 500) x (*.f64 (*.f64 (+.f64 x y) 500) (neg.f64 y)))))))

simplify89.0ms (2.3%)

Algorithm
egg-herbie
Rules
705×associate-*l*_binary64
703×associate-/r*_binary64
611×associate-*l/_binary64
601×associate-*r*_binary64
411×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0701077
1219933
2699900
31976852
Stop Event
node limit
Counts
222 → 182
Calls
Call 1
Inputs
(/.f64 -1/500 y)
(-.f64 (*.f64 -1/500 (/.f64 x (pow.f64 y 2))) (*.f64 1/500 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2)))) (*.f64 1/500 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2))))) (*.f64 1/500 (/.f64 1 y)))
(/.f64 1/500 x)
(+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 1/500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 1/500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/500 (/.f64 1 x)) (+.f64 (*.f64 1/500 (/.f64 y (pow.f64 x 2))) (*.f64 1/500 (/.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(/.f64 1/500 x)
(+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 1/500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 1/500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/500 (/.f64 1 x)) (+.f64 (*.f64 1/500 (/.f64 y (pow.f64 x 2))) (*.f64 1/500 (/.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(/.f64 1/500 x)
(+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 1/500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2)))))
(+.f64 (*.f64 1/500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/500 (/.f64 1 x)) (+.f64 (*.f64 1/500 (/.f64 y (pow.f64 x 2))) (*.f64 1/500 (/.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(/.f64 -1/500 y)
(-.f64 (*.f64 -1/500 (/.f64 x (pow.f64 y 2))) (*.f64 1/500 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2)))) (*.f64 1/500 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2))))) (*.f64 1/500 (/.f64 1 y)))
(/.f64 -1/500 y)
(-.f64 (*.f64 -1/500 (/.f64 x (pow.f64 y 2))) (*.f64 1/500 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2)))) (*.f64 1/500 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2))))) (*.f64 1/500 (/.f64 1 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 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 -500 (pow.f64 y 2))
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (*.f64 -500 (pow.f64 y 2)))
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))))
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))))
(*.f64 500 (pow.f64 x 2))
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (*.f64 500 (pow.f64 x 2)))
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))))
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))))
(*.f64 500 (pow.f64 x 2))
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (*.f64 500 (pow.f64 x 2)))
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))))
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (+.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 (*.f64 y (+.f64 (*.f64 -1 x) x))))
(+.f64 (*.f64 500 (pow.f64 x 2)) (+.f64 (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2))))
(+.f64 (*.f64 500 (pow.f64 x 2)) (+.f64 (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2))))
(*.f64 -500 (pow.f64 y 2))
(+.f64 (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2)))
(+.f64 (*.f64 500 (pow.f64 x 2)) (+.f64 (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2))))
(+.f64 (*.f64 500 (pow.f64 x 2)) (+.f64 (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2))))
(*.f64 -500 (pow.f64 y 2))
(+.f64 (*.f64 -500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2)))
(+.f64 (*.f64 -500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))))
(+.f64 (*.f64 -500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))))
Outputs
(/.f64 -1/500 y)
(-.f64 (*.f64 -1/500 (/.f64 x (pow.f64 y 2))) (*.f64 1/500 (/.f64 1 y)))
(-.f64 (*.f64 -1/500 (/.f64 x (*.f64 y y))) (/.f64 1/500 y))
(fma.f64 -1/500 (/.f64 x (*.f64 y y)) (/.f64 -1/500 y))
(*.f64 (+.f64 (/.f64 x y) 1) (/.f64 -1/500 y))
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2)))) (*.f64 1/500 (/.f64 1 y)))
(-.f64 (*.f64 -1/500 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) (/.f64 1/500 y))
(fma.f64 -1/500 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 -1/500 y))
(fma.f64 -1/500 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (*.f64 y y))) (/.f64 -1/500 y))
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2))))) (*.f64 1/500 (/.f64 1 y)))
(-.f64 (fma.f64 -1/500 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 -1/500 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 x (*.f64 y y))))) (/.f64 1/500 y))
(fma.f64 -1/500 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 -1/500 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 -1/500 y)))
(fma.f64 -1/500 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (*.f64 y y)))) (/.f64 -1/500 y))
(+.f64 (*.f64 (/.f64 -1/500 y) (+.f64 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) (pow.f64 (/.f64 x y) 3))) (/.f64 -1/500 y))
(/.f64 1/500 x)
(+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1/500 x) (/.f64 (*.f64 1/500 y) (*.f64 x x)))
(fma.f64 1/500 (/.f64 y (*.f64 x x)) (/.f64 1/500 x))
(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 1/500 x))
(+.f64 (*.f64 1/500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2)))))
(fma.f64 1/500 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1/500 x) (/.f64 (*.f64 1/500 y) (*.f64 x x))))
(fma.f64 1/500 (/.f64 (*.f64 y y) (pow.f64 x 3)) (fma.f64 1/500 (/.f64 y (*.f64 x x)) (/.f64 1/500 x)))
(fma.f64 1/500 (/.f64 y (*.f64 x x)) (fma.f64 1/500 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 1/500 x)))
(+.f64 (/.f64 1/500 x) (*.f64 (/.f64 1/500 x) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(+.f64 (*.f64 1/500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/500 (/.f64 1 x)) (+.f64 (*.f64 1/500 (/.f64 y (pow.f64 x 2))) (*.f64 1/500 (/.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(fma.f64 1/500 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1/500 x) (*.f64 1/500 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))))
(fma.f64 1/500 (/.f64 (*.f64 y y) (pow.f64 x 3)) (fma.f64 1/500 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (/.f64 1/500 x)))
(fma.f64 1/500 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 1/500 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 1/500 x)))
(+.f64 (/.f64 1/500 x) (*.f64 (/.f64 1/500 x) (+.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))))
(/.f64 1/500 x)
(+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1/500 x) (/.f64 (*.f64 1/500 y) (*.f64 x x)))
(fma.f64 1/500 (/.f64 y (*.f64 x x)) (/.f64 1/500 x))
(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 1/500 x))
(+.f64 (*.f64 1/500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2)))))
(fma.f64 1/500 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1/500 x) (/.f64 (*.f64 1/500 y) (*.f64 x x))))
(fma.f64 1/500 (/.f64 (*.f64 y y) (pow.f64 x 3)) (fma.f64 1/500 (/.f64 y (*.f64 x x)) (/.f64 1/500 x)))
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(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))))
(fma.f64 500 (*.f64 x (*.f64 0 y)) (fma.f64 500 (*.f64 x x) (*.f64 (*.f64 y y) -500)))
(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0))
(fma.f64 y (*.f64 y -500) (*.f64 (*.f64 x x) 500))
(fma.f64 x (*.f64 x 500) (*.f64 y (*.f64 y -500)))
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))))
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(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0))
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(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0))
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(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0))
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(fma.f64 x (*.f64 x 500) (*.f64 y (*.f64 y -500)))
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(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))))
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(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0))
(fma.f64 y (*.f64 y -500) (*.f64 (*.f64 x x) 500))
(fma.f64 x (*.f64 x 500) (*.f64 y (*.f64 y -500)))
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(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0))
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(+.f64 (*.f64 500 (pow.f64 x 2)) (+.f64 (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2))))
(fma.f64 500 (*.f64 x (*.f64 0 y)) (fma.f64 500 (*.f64 x x) (*.f64 (*.f64 y y) -500)))
(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0))
(fma.f64 y (*.f64 y -500) (*.f64 (*.f64 x x) 500))
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(+.f64 (*.f64 500 (pow.f64 x 2)) (+.f64 (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2))))
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(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0))
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(+.f64 (*.f64 500 (pow.f64 x 2)) (+.f64 (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2))))
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(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0))
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(+.f64 (*.f64 500 (pow.f64 x 2)) (+.f64 (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2))))
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(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0))
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(fma.f64 x (*.f64 x 500) (*.f64 y (*.f64 y -500)))
(*.f64 -500 (pow.f64 y 2))
(*.f64 (*.f64 y y) -500)
(*.f64 y (*.f64 y -500))
(+.f64 (*.f64 -500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2)))
(*.f64 (*.f64 y y) -500)
(*.f64 y (*.f64 y -500))
(+.f64 (*.f64 -500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))))
(fma.f64 500 (*.f64 x (*.f64 0 y)) (fma.f64 500 (*.f64 x x) (*.f64 (*.f64 y y) -500)))
(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0))
(fma.f64 y (*.f64 y -500) (*.f64 (*.f64 x x) 500))
(fma.f64 x (*.f64 x 500) (*.f64 y (*.f64 y -500)))
(+.f64 (*.f64 -500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))))
(fma.f64 500 (*.f64 x (*.f64 0 y)) (fma.f64 500 (*.f64 x x) (*.f64 (*.f64 y y) -500)))
(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0))
(fma.f64 y (*.f64 y -500) (*.f64 (*.f64 x x) 500))
(fma.f64 x (*.f64 x 500) (*.f64 y (*.f64 y -500)))

eval130.0ms (3.4%)

Compiler

Compiled 3512 to 1794 computations (48.9% saved)

prune31.0ms (0.8%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New2003203
Fresh000
Picked011
Done156
Total2019210
Error
0b
Counts
210 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(/.f64 1 (+.f64 0 (/.f64 1/500 (-.f64 x y))))
31.6b
(/.f64 1 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))))
0.0b
(*.f64 (/.f64 (*.f64 (+.f64 x y) 500) 1) (/.f64 (-.f64 x y) (+.f64 x y)))
0.4b
(/.f64 1 (*.f64 (/.f64 1 (+.f64 x y)) (/.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))))
31.7b
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
0.0b
(*.f64 500 (-.f64 x y))
29.6b
(*.f64 500 x)
0.0b
(+.f64 (*.f64 500 x) (*.f64 -500 y))
33.9b
(*.f64 -500 y)
Compiler

Compiled 105 to 70 computations (33.3% saved)

regimes76.0ms (2%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(/.f64 1 (+.f64 0 (/.f64 1/500 (-.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
(*.f64 (/.f64 (*.f64 (+.f64 x y) 500) 1) (/.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 1 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))))
(*.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500))
(/.f64 1 (*.f64 (/.f64 1 (+.f64 x y)) (/.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))))
(fma.f64 x 500 (*.f64 -500 y))
(fma.f64 -500 y (*.f64 500 x))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000))
Outputs
(fma.f64 x 500 (*.f64 -500 y))
Calls

5 calls:

37.0ms
(-.f64 x y)
9.0ms
y
8.0ms
(-.f64 x y)
8.0ms
(*.f64 500 (-.f64 x y))
8.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(*.f64 500 (-.f64 x y))
0.0b1(-.f64 x y)
0.0b1(-.f64 x y)
Compiler

Compiled 147 to 80 computations (45.6% saved)

regimes92.0ms (2.4%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 500 (-.f64 x y))
(+.f64 (*.f64 500 x) (*.f64 -500 y))
(/.f64 1 (+.f64 0 (/.f64 1/500 (-.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))
(*.f64 (/.f64 (*.f64 (+.f64 x y) 500) 1) (/.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 1 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))))
(*.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500))
(/.f64 1 (*.f64 (/.f64 1 (+.f64 x y)) (/.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))))
Outputs
(*.f64 500 (-.f64 x y))
Calls

4 calls:

48.0ms
(-.f64 x y)
28.0ms
x
7.0ms
y
7.0ms
(*.f64 500 (-.f64 x y))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(*.f64 500 (-.f64 x y))
0.0b1(-.f64 x y)
Compiler

Compiled 122 to 64 computations (47.5% saved)

regimes39.0ms (1%)

Accuracy

Total -47.3b remaining (-333.9%)

Threshold costs -47.3b (-333.9%)

Counts
2 → 5
Calls
Call 1
Inputs
(*.f64 500 x)
(*.f64 -500 y)
Outputs
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 500 x)
Calls

2 calls:

22.0ms
x
16.0ms
y
Results
ErrorSegmentsBranch
14.2b5x
16.0b3y
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch48.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
0.0ms
1.4966129188799872e-58
1.5412477311307687e-58
18.0ms
-2.5637148537663068e-148
-1.2807666987448919e-148
14.0ms
-2.6679706475365947e-95
-2.680009127068945e-99
16.0ms
-9.964282885721964e+31
-2.9074856682696395e+26
Compiler

Compiled 12 to 9 computations (25% saved)

simplify6.0ms (0.2%)

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
02363
12863
23363
33563
43663
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 x 500 (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(if (<=.f64 x -99642828857219640793178648346624) (*.f64 500 x) (if (<=.f64 x -4010139312211437/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (*.f64 -500 y) (if (<=.f64 x -14763433114732200/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (*.f64 500 x) (if (<=.f64 x 17368813385597429760/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 -500 y) (*.f64 500 x)))))
(*.f64 500 x)
Outputs
(fma.f64 x 500 (*.f64 -500 y))
(*.f64 500 (-.f64 x y))
(if (<=.f64 x -99642828857219640793178648346624) (*.f64 500 x) (if (<=.f64 x -4010139312211437/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (*.f64 -500 y) (if (<=.f64 x -14763433114732200/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (*.f64 500 x) (if (<=.f64 x 17368813385597429760/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 -500 y) (*.f64 500 x)))))
(if (<=.f64 x -99642828857219640793178648346624) (*.f64 x 500) (if (<=.f64 x -4010139312211437/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (*.f64 -500 y) (if (<=.f64 x -1845429139341525/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) (*.f64 x 500) (if (<=.f64 x 8480865910936245/56539106072908298546665520023773392506479484700019806659891398441363832832) (*.f64 -500 y) (*.f64 x 500)))))
(*.f64 500 x)
(*.f64 x 500)
Compiler

Compiled 53 to 39 computations (26.4% saved)

soundness0.0ms (0%)

end61.0ms (1.6%)

Compiler

Compiled 47 to 33 computations (29.8% saved)

Profiling

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