Details

Time bar (total: 1.8s)

analyze78.0ms (4.4%)

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)

sample766.0ms (42.7%)

Results
753.0ms8256×body256valid

preprocess19.0ms (1.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11014
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 x (/.f64 y 500))
(+.f64 y (/.f64 x 500))
Outputs
(+.f64 x (/.f64 y 500))
(+.f64 y (/.f64 x 500))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 x (/.f64 y 500))
Outputs
(+.f64 x (/.f64 y 500))

eval0.0ms (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 x (/.f64 y 500))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize28.0ms (1.5%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite79.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
743×pow1_binary64
701×add-log-exp_binary64
701×log1p-expm1-u_binary64
701×expm1-log1p-u_binary64
688×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11385
218895
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(+.f64 x (/.f64 y 500))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y 1/500 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 1/500))) (/.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 x (*.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 1/500 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 1/500 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y 1/500)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) (+.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y 1/500)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (-.f64 x (*.f64 y 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))) (neg.f64 (-.f64 x (*.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 1/500 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1/500 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 1/500) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 1/500)) 2) (cbrt.f64 (*.f64 y 1/500)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 1/500)) (sqrt.f64 (*.f64 y 1/500)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 1/500))))))

simplify42.0ms (2.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06105
19105
210105
Stop Event
saturated
Counts
58 → 38
Calls
Call 1
Inputs
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
Outputs
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)

eval19.0ms (1%)

Compiler

Compiled 415 to 265 computations (36.1% saved)

prune13.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New35338
Fresh000
Picked011
Done000
Total35439
Error
0b
Counts
39 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
31.8b
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
0.0b
(+.f64 x (/.f64 y 500))
33.5b
x
30.3b
(*.f64 1/500 y)
Compiler

Compiled 32 to 22 computations (31.3% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/500 y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

series2.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

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

rewrite55.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
345×pow1_binary64
338×add-sqr-sqrt_binary64
329×*-un-lft-identity_binary64
321×add-log-exp_binary64
321×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1804
28734
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 1/500 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 1/500 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/500 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 y) 1/1000)) (log.f64 (pow.f64 (exp.f64 y) 1/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/250))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 1/500 y)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 1/500 y)) (+.f64 1 (*.f64 1/500 y))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 1/500 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 1/500 y)) (+.f64 1 (*.f64 1/500 y))) 1) (+.f64 (+.f64 1 (*.f64 1/500 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/500 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/500 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 1/125000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/500 y)))) (sqrt.f64 (log.f64 (*.f64 1/500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/500 y))) 2)) (cbrt.f64 (log.f64 (*.f64 1/500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/500 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/500 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 1/125000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/500 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/500 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/500 y))) 2))))))

simplify11.0ms (0.6%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
25 → 25
Calls
Call 1
Inputs
Outputs

localize41.0ms (2.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 y 1/500)
0.4b
(*.f64 (*.f64 y y) 1/250000)
3.4b
(-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x))
29.7b
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
Compiler

Compiled 49 to 23 computations (53.1% saved)

series9.0ms (0.5%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
1.0ms
y
@0
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
1.0ms
y
@inf
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
1.0ms
y
@-inf
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))

rewrite148.0ms (8.2%)

Algorithm
batch-egg-rewrite
Rules
716×fma-def_binary64
678×log-prod_binary64
374×fma-neg_binary64
230×expm1-udef_binary64
230×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01246
127829
2411829
Stop Event
node limit
Counts
4 → 323
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
(-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x))
(*.f64 (*.f64 y y) 1/250000)
(*.f64 y 1/500)
Outputs
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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (*.f64 y 1/500)) 3) (sqrt.f64 (*.f64 y 1/500)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (*.f64 y 1/500)) 3) (sqrt.f64 (*.f64 y 1/500)) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (*.f64 y 1/500)) 3) (sqrt.f64 (*.f64 y 1/500)) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (*.f64 y 1/500)) 3) (sqrt.f64 (*.f64 y 1/500)) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (*.f64 x (neg.f64 x))) (*.f64 y (*.f64 y 1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) (*.f64 x x))) (cbrt.f64 (fma.f64 x (neg.f64 x) (*.f64 x x)))) (cbrt.f64 (fma.f64 x (neg.f64 x) (*.f64 x x))) (fma.f64 y (*.f64 y 1/250000) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) (*.f64 y (*.f64 y 1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x) (hypot.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x) (fma.f64 y (*.f64 y 1/250000) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x x) (*.f64 y (*.f64 y 1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (*.f64 y 1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) x (*.f64 y (*.f64 y 1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/250000 (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/250000 (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/250000 (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/250000 (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 1/500) y) 1/500 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 1/500) y) 1/500 (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 1/500) y) 1/500 (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 1/500) y) 1/500 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 1/500) 1/500) y (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 1/500) 1/500) y (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 1/500) 1/500) y (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 1/500) 1/500) y (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 1/500) (pow.f64 (cbrt.f64 (*.f64 y 1/500)) 2)) (cbrt.f64 (*.f64 y 1/500)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 1/500) (pow.f64 (cbrt.f64 (*.f64 y 1/500)) 2)) (cbrt.f64 (*.f64 y 1/500)) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 1/500) (pow.f64 (cbrt.f64 (*.f64 y 1/500)) 2)) (cbrt.f64 (*.f64 y 1/500)) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 1/500) (pow.f64 (cbrt.f64 (*.f64 y 1/500)) 2)) (cbrt.f64 (*.f64 y 1/500)) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y (*.f64 y 1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (*.f64 y 1/250000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 y 1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/250000))) (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/250000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/250000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/250000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/250000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y 1/250000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y 1/250000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 1/500) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 1/500)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/15625000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) 1/62500000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y 1/250000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/15625000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y 1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y 1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 y 1/500))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 y 1/500))) (cbrt.f64 (exp.f64 (*.f64 y 1/500))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 y 1/500)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 y 1/500)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 y 1/500)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y 1/500))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y 1/250000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 1/500) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 1/500)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 1/500)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 1/125000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (*.f64 y 1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 y 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 1/125000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y 1/500)) 1))))))

simplify122.0ms (6.8%)

Algorithm
egg-herbie
Rules
612×fma-def_binary64
565×fma-neg_binary64
556×unsub-neg_binary64
484×unswap-sqr_binary64
449×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014528
130510
256510
3115510
4301510
51027510
62122510
74216510
85736510
97263510
107973510
Stop Event
node limit
Counts
395 → 332
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(*.f64 1/250000 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(*.f64 1/250000 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(*.f64 1/250000 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
Outputs
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (*.f64 y y))
(*.f64 y (*.f64 y 1/250000))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (*.f64 y y))
(*.f64 y (*.f64 y 1/250000))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (*.f64 y y))
(*.f64 y (*.f64 y 1/250000))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/250000 (pow.f64 y 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
(fma.f64 1/250000 (*.f64 y y) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 y (*.f64 y 1/250000)) (*.f64 x x))
(neg.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)))
(neg.f64 (fma.f64 1/250000 (*.f64 y y) (*.f64 x x)))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (*.f64 y y))
(*.f64 y (*.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (*.f64 y y))
(*.f64 y (*.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (*.f64 y y))
(*.f64 y (*.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (*.f64 y y))
(*.f64 y (*.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (*.f64 y y))
(*.f64 y (*.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (*.f64 y y))
(*.f64 y (*.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (*.f64 y y))
(*.f64 y (*.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (*.f64 y y))
(*.f64 y (*.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (*.f64 y y))
(*.f64 y (*.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (*.f64 y y))
(*.f64 y (*.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (*.f64 y y))
(*.f64 y (*.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (*.f64 y y))
(*.f64 y (*.f64 y 1/250000))
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)

eval144.0ms (8%)

Compiler

Compiled 7708 to 4061 computations (47.3% saved)

prune54.0ms (3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3570357
Fresh011
Picked011
Done022
Total3574361
Error
0b
Counts
361 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
31.8b
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
0.0b
(+.f64 x (/.f64 y 500))
33.5b
x
30.3b
(*.f64 1/500 y)
Compiler

Compiled 32 to 22 computations (31.3% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
31.8b
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
0.0b
(+.f64 x (/.f64 y 500))
33.5b
x
30.3b
(*.f64 1/500 y)
Compiler

Compiled 32 to 22 computations (31.3% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
31.8b
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
0.0b
(+.f64 x (/.f64 y 500))
33.5b
x
30.3b
(*.f64 1/500 y)
Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes21.0ms (1.2%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f64 1/500 y)
(+.f64 x (/.f64 y 500))
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
Outputs
(+.f64 x (/.f64 y 500))
Calls

4 calls:

7.0ms
y
4.0ms
(+.f64 x (/.f64 y 500))
4.0ms
(/.f64 y 500)
4.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(+.f64 x (/.f64 y 500))
0.0b1(/.f64 y 500)
Compiler

Compiled 44 to 29 computations (34.1% saved)

regimes26.0ms (1.5%)

Accuracy

Total -48.8b remaining (-374.4%)

Threshold costs -48.8b (-374.4%)

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

2 calls:

15.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
14.0b3x
13.0b5y
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch63.0ms (3.5%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
2.865447946667378e+83
4.2300991469034604e+101
17.0ms
14421863947182.963
232629729520948350.0
16.0ms
1.7210588908825013e-19
1.310103937282823e-14
15.0ms
-4.554913430096951e-13
-3.70897855649031e-15
Compiler

Compiled 12 to 9 computations (25% saved)

simplify5.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02146
12346
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y 500))
(if (<=.f64 y -36087742147812648/79228162514264337593543950336) (*.f64 1/500 y) (if (<=.f64 y 7148998937986117/41538374868278621028243970633760768) x (if (<=.f64 y 7383994340957677/512) (*.f64 1/500 y) (if (<=.f64 y 286544794666737781661441376189857858801232985824632299091937325768719716279889428480) x (*.f64 1/500 y)))))
x
Outputs
(+.f64 x (/.f64 y 500))
(if (<=.f64 y -36087742147812648/79228162514264337593543950336) (*.f64 1/500 y) (if (<=.f64 y 7148998937986117/41538374868278621028243970633760768) x (if (<=.f64 y 7383994340957677/512) (*.f64 1/500 y) (if (<=.f64 y 286544794666737781661441376189857858801232985824632299091937325768719716279889428480) x (*.f64 1/500 y)))))
(if (<=.f64 y -4510967768476581/9903520314283042199192993792) (*.f64 y 1/500) (if (<=.f64 y 7148998937986117/41538374868278621028243970633760768) x (if (<=.f64 y 7383994340957677/512) (*.f64 y 1/500) (if (<=.f64 y 286544794666737781661441376189857858801232985824632299091937325768719716279889428480) x (*.f64 y 1/500)))))
x
Compiler

Compiled 39 to 27 computations (30.8% saved)

soundness0.0ms (0%)

end28.0ms (1.5%)

Compiler

Compiled 35 to 23 computations (34.3% saved)

Profiling

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