Details

Time bar (total: 2.5s)

analyze49.0ms (2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.6%34.3%0.1%0%0%0%8
76.6%76.5%23.4%0.1%0%0%0%9
82%82%18%0.1%0%0%0%10
87.9%87.8%12.1%0.1%0%0%0%11
90.8%90.7%9.2%0.1%0%0%0%12
Compiler

Compiled 8 to 6 computations (25% saved)

sample974.0ms (39.2%)

Results
962.0ms8256×body256valid
Bogosity

preprocess32.0ms (1.3%)

Algorithm
2×egg-herbie
Rules
112×fma-neg_binary64
52×fma-def_binary64
40×cancel-sign-sub-inv_binary64
24×sub-neg_binary64
14×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11214
22414
34214
46814
511410
618610
732410
845710
950310
1050510
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 x (/.f64 y 200))
(-.f64 y (/.f64 x 200))
Outputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 -1/200 y))
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)
(-.f64 y (/.f64 x 200))
(+.f64 y (*.f64 -1/200 x))
(fma.f64 -1/200 x y)
(fma.f64 x -1/200 y)
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify16.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
57×fma-neg_binary64
53×fma-def_binary64
23×cancel-sign-sub-inv_binary64
15×sub-neg_binary64
11×neg-mul-1_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
067
187
2157
3247
4397
5635
61095
71565
82125
92725
103365
113645
123675
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 x (/.f64 y 200))
Outputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 -1/200 y))
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)

eval1.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(-.f64 x (/.f64 y 200))
▶0.1b
(fma.f64 y -1/200 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

localize27.0ms (1.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 y 200))
Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 x (/.f64 y 200))
0.0ms
y
@inf
(-.f64 x (/.f64 y 200))
0.0ms
x
@inf
(-.f64 x (/.f64 y 200))
0.0ms
y
@0
(-.f64 x (/.f64 y 200))
0.0ms
y
@-inf
(-.f64 x (/.f64 y 200))

rewrite64.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
752×pow1_binary64
709×add-log-exp_binary64
709×log1p-expm1-u_binary64
709×expm1-log1p-u_binary64
696×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11397
219027
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 x (/.f64 y 200))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y -1/200) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 -1/200 y (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (*.f64 y -1/200) 1 (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/200))) (pow.f64 (cbrt.f64 (*.f64 y 1/200)) 2) (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200)) (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) (sqrt.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y 1/200)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))) (neg.f64 (+.f64 x (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y -1/200) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (*.f64 x (*.f64 y -1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y -1/200) (*.f64 y -1/200))) (-.f64 x (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))))))

simplify12.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06105
19105
210105
Stop Event
1×saturated
Counts
60 → 40
Calls
Call 1
Inputs
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
Outputs
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 y -1/200 x)
Compiler

Compiled 9 to 5 computations (44.4% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 y -1/200 x)
0.0ms
y
@0
(fma.f64 y -1/200 x)
0.0ms
y
@-inf
(fma.f64 y -1/200 x)
0.0ms
x
@-inf
(fma.f64 y -1/200 x)
0.0ms
y
@inf
(fma.f64 y -1/200 x)

rewrite87.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
450×pow1_binary64
439×add-sqr-sqrt_binary64
429×*-un-lft-identity_binary64
417×add-log-exp_binary64
417×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
11005
211085
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 y -1/200 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y -1/200) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -1/200 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -1/200 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -1/200 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2) (cbrt.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -1/200 x)) (sqrt.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y -1/200) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y -1/200) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (*.f64 x x)) (-.f64 (*.f64 y -1/200) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -1/200 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -1/200 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -1/200 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -1/200 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -1/200 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -1/200 x)))))))

simplify49.0ms (2%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06105
19105
210105
Stop Event
1×saturated
Counts
45 → 25
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
Outputs
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)

eval18.0ms (0.7%)

Compiler

Compiled 671 to 449 computations (33.1% saved)

prune10.0ms (0.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New61465
Fresh000
Picked011
Done011
Total61667
Error
0b
Counts
67 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.7b
(*.f64 -1/200 y)
32.4b
x
✓0.0b
(-.f64 x (/.f64 y 200))
▶34.3b
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))
✓0.1b
(fma.f64 y -1/200 x)
▶0.1b
(+.f64 (*.f64 y -1/200) x)
Compiler

Compiled 45 to 31 computations (31.1% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 -1/200 y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 -1/200 y)
0.0ms
y
@inf
(*.f64 -1/200 y)
0.0ms
y
@-inf
(*.f64 -1/200 y)

rewrite58.0ms (2.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1804
28754
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 -1/200 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 -1/200 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/200 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 y) -1/400)) (log.f64 (pow.f64 (exp.f64 y) -1/400)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) -1/100))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/200 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -1/200 y)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/200 y)) (+.f64 1 (*.f64 -1/200 y))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1/200 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -1/200 y)) (+.f64 1 (*.f64 -1/200 y))) 1) (+.f64 (+.f64 1 (*.f64 -1/200 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/200 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/200 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) -1/8000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/200 y)))) (sqrt.f64 (log.f64 (*.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/200 y))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/200 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 -1/200 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) -1/8000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/200 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/200 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/200 y))) 2))))))

simplify8.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 y -1/200) x)
✓0.2b
(*.f64 y -1/200)
Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (*.f64 y -1/200) x)
0.0ms
y
@0
(*.f64 y -1/200)
0.0ms
y
@inf
(*.f64 y -1/200)
0.0ms
x
@-inf
(+.f64 (*.f64 y -1/200) x)
0.0ms
y
@0
(+.f64 (*.f64 y -1/200) x)

rewrite75.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
687×pow1_binary64
643×add-log-exp_binary64
643×log1p-expm1-u_binary64
643×expm1-log1p-u_binary64
630×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11319
217349
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 y -1/200)
(+.f64 (*.f64 y -1/200) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -1/200) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -1/200)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -1/200)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/8000000 (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y -1/200) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/8000000 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -1/200)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -1/200 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y -1/200) 2) (-.f64 (*.f64 y -1/200) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y -1/200) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -1/200 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -1/200 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2) (cbrt.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -1/200 x)) (sqrt.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/8000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y -1/200) 2) (*.f64 x (-.f64 x (*.f64 y -1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y -1/200) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y -1/200) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y -1/200) 2) (*.f64 x (-.f64 x (*.f64 y -1/200)))) (+.f64 (*.f64 -1/8000000 (pow.f64 y 3)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y -1/200) x) (-.f64 (pow.f64 (*.f64 y -1/200) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/8000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y -1/200) 2) (*.f64 x (-.f64 x (*.f64 y -1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/8000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y -1/200) 2) (*.f64 y (*.f64 -1/200 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y -1/200) 2) (*.f64 x x)) (-.f64 (*.f64 y -1/200) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 -1/8000000 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y -1/200) 2) (*.f64 x (-.f64 x (*.f64 y -1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y -1/200) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y -1/200) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y -1/200) 2)) (-.f64 x (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -1/200 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -1/200 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -1/200 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -1/200 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -1/200 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1/200 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/200 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/200)) 2) (cbrt.f64 (*.f64 y -1/200)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -1/200)) (sqrt.f64 (*.f64 y -1/200)) x)))))

simplify12.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06153
19153
210153
Stop Event
1×saturated
Counts
82 → 49
Calls
Call 1
Inputs
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
Outputs
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)

localize18.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 y 1/200)
✓0.6b
(*.f64 (*.f64 y y) 1/40000)
✓4.2b
(-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))
✓31.7b
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))
Compiler

Compiled 49 to 23 computations (53.1% saved)

series9.0ms (0.4%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))
1.0ms
y
@0
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))
1.0ms
y
@inf
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))
0.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))

rewrite147.0ms (5.9%)

Algorithm
1×batch-egg-rewrite
Rules
713×fma-def_binary64
681×log-prod_binary64
331×fma-neg_binary64
231×expm1-udef_binary64
231×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01246
128229
2417029
Stop Event
1×node limit
Counts
4 → 402
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))
(*.f64 (*.f64 y y) 1/40000)
(*.f64 y 1/200)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 y) 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -1/200 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -1 (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 y 1/40000)))) (cbrt.f64 (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 (fma.f64 y 1/200 x) x)) (neg.f64 (*.f64 1/40000 (/.f64 (*.f64 y y) (fma.f64 y 1/200 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 -1/200 y)) (fma.f64 -1/200 y (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 -1/200 y)) (fma.f64 (neg.f64 y) 1/200 (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 y 1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/40000)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/40000)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/40000))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y 1/40000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y 1/40000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 1/200) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y 1/40000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/64000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) 1/1600000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/40000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y 1/40000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/64000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 y 1/200))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/200) y)) (cbrt.f64 (pow.f64 (exp.f64 1/200) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/200) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/200) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/200) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y 1/200))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y 1/40000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 1/200) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 1/200)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 1/200)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8000000 (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (*.f64 y 1/40000)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 y 1/200))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/200) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8000000 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y 1/200)) 1))))))

simplify186.0ms (7.5%)

Algorithm
1×egg-herbie
Rules
1040×sqr-pow_binary64
742×fabs-mul_binary64
698×cube-prod_binary64
484×unswap-sqr_binary64
360×pow-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016504
131468
253468
3104468
4257468
5804468
61185468
72001468
82204468
92444468
102751468
113201468
123794468
134507468
145394468
156088468
166546468
176978468
187138468
197208468
Stop Event
1×node limit
Counts
474 → 416
Calls
Call 1
Inputs
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/40000 (pow.f64 y 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(*.f64 -1/40000 (pow.f64 y 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(*.f64 -1/40000 (pow.f64 y 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
(*.f64 1/200 y)
Outputs
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/40000 (pow.f64 y 2))
(*.f64 -1/40000 (*.f64 y y))
(*.f64 y (*.f64 y -1/40000))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(*.f64 -1/40000 (pow.f64 y 2))
(*.f64 -1/40000 (*.f64 y y))
(*.f64 y (*.f64 y -1/40000))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(*.f64 -1/40000 (pow.f64 y 2))
(*.f64 -1/40000 (*.f64 y y))
(*.f64 y (*.f64 y -1/40000))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 -1/40000 (pow.f64 y 2)))
(+.f64 (*.f64 -1/40000 (*.f64 y y)) (*.f64 x x))
(fma.f64 x x (*.f64 y (*.f64 y -1/40000)))
(fma.f64 y (*.f64 y -1/40000) (*.f64 x x))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/40000)
(*.f64 y (*.f64 y 1/40000))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/40000)
(*.f64 y (*.f64 y 1/40000))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/40000)
(*.f64 y (*.f64 y 1/40000))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/40000)
(*.f64 y (*.f64 y 1/40000))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/40000)
(*.f64 y (*.f64 y 1/40000))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/40000)
(*.f64 y (*.f64 y 1/40000))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/40000)
(*.f64 y (*.f64 y 1/40000))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/40000)
(*.f64 y (*.f64 y 1/40000))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/40000)
(*.f64 y (*.f64 y 1/40000))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/40000)
(*.f64 y (*.f64 y 1/40000))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/40000)
(*.f64 y (*.f64 y 1/40000))
(*.f64 1/40000 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/40000)
(*.f64 y (*.f64 y 1/40000))
(*.f64 1/200 y)
(*.f64 y 1/200)
(*.f64 1/200 y)
(*.f64 y 1/200)
(*.f64 1/200 y)
(*.f64 y 1/200)
(*.f64 1/200 y)
(*.f64 y 1/200)
(*.f64 1/200 y)
(*.f64 y 1/200)
(*.f64 1/200 y)
(*.f64 y 1/200)
(*.f64 1/200 y)
(*.f64 y 1/200)
(*.f64 1/200 y)
(*.f64 y 1/200)
(*.f64 1/200 y)
(*.f64 y 1/200)
(*.f64 1/200 y)
(*.f64 y 1/200)
(*.f64 1/200 y)
(*.f64 y 1/200)
(*.f64 1/200 y)
(*.f64 y 1/200)

eval223.0ms (9%)

Compiler

Compiled 10786 to 6607 computations (38.7% saved)

prune77.0ms (3.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4891490
Fresh101
Picked011
Done044
Total4906496
Error
0b
Counts
496 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.7b
(*.f64 -1/200 y)
✓0.0b
(-.f64 x (/.f64 y 200))
✓34.3b
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))
✓0.1b
(fma.f64 y -1/200 x)
32.4b
x
✓0.1b
(+.f64 (*.f64 y -1/200) x)
Compiler

Compiled 45 to 31 computations (31.1% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.7b
(*.f64 -1/200 y)
✓0.0b
(-.f64 x (/.f64 y 200))
✓34.3b
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))
✓0.1b
(fma.f64 y -1/200 x)
32.4b
x
✓0.1b
(+.f64 (*.f64 y -1/200) x)
Compiler

Compiled 45 to 31 computations (31.1% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune24.0ms (1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.7b
(*.f64 -1/200 y)
✓0.0b
(-.f64 x (/.f64 y 200))
✓34.3b
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))
✓0.1b
(fma.f64 y -1/200 x)
32.4b
x
✓0.1b
(+.f64 (*.f64 y -1/200) x)
Compiler

Compiled 45 to 31 computations (31.1% saved)

regimes24.0ms (1%)

Counts
7 → 1
Calls
Call 1
Inputs
x
x
(*.f64 -1/200 y)
(+.f64 (*.f64 y -1/200) x)
(-.f64 x (/.f64 y 200))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))
(fma.f64 y -1/200 x)
Outputs
(-.f64 x (/.f64 y 200))
Calls

4 calls:

6.0ms
x
5.0ms
(-.f64 x (/.f64 y 200))
5.0ms
(/.f64 y 200)
5.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(-.f64 x (/.f64 y 200))
0.0b1(/.f64 y 200)
Compiler

Compiled 54 to 34 computations (37% saved)

regimes10.0ms (0.4%)

Counts
4 → 1
Calls
Call 1
Inputs
x
x
(*.f64 -1/200 y)
(+.f64 (*.f64 y -1/200) x)
Outputs
(+.f64 (*.f64 y -1/200) x)
Calls

2 calls:

4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes71.0ms (2.8%)

Counts
3 → 3
Calls
Call 1
Inputs
x
x
(*.f64 -1/200 y)
Outputs
x
(*.f64 -1/200 y)
x
Calls

2 calls:

59.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
13.9b3x
14.3b3y
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch68.0ms (2.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
52.0ms
128903.20277625337
5.084411201161055e+21
16.0ms
-1.143189810419369e-11
-1.2866612082958661e-13
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
x
Outputs
x
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
32.4b1x
32.4b1y
Compiler

Compiled 10 to 6 computations (40% saved)

simplify5.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01733
12133
22833
33233
43533
53633
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y 200))
(+.f64 (*.f64 y -1/200) x)
(if (<=.f64 x -442250137131625/38685626227668133590597632) x (if (<=.f64 x 4429080322189317/34359738368) (*.f64 -1/200 y) x))
x
Outputs
(-.f64 x (/.f64 y 200))
(+.f64 (*.f64 y -1/200) x)
(+.f64 x (*.f64 y -1/200))
(if (<=.f64 x -442250137131625/38685626227668133590597632) x (if (<=.f64 x 4429080322189317/34359738368) (*.f64 -1/200 y) x))
(if (<=.f64 x -442250137131625/38685626227668133590597632) x (if (<=.f64 x 4429080322189317/34359738368) (*.f64 y -1/200) x))
x
Compiler

Compiled 32 to 22 computations (31.3% saved)

soundness0.0ms (0%)

end98.0ms (3.9%)

Compiler

Compiled 26 to 16 computations (38.5% saved)

Profiling

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