Details

Time bar (total: 1.7s)

analyze3.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample691.0ms (41.6%)

Results
679.0ms8256×body128valid

preprocess13.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
1×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1108
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))
Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
1×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1108
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))
Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))

eval1.0ms (0%)

Compiler

Compiled 14 to 8 computations (42.9% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
14.7b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶14.7b
(/.f64 x (fma.f64 x x 1))
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓14.7b
(/.f64 x (fma.f64 x x 1))

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite32.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
499×pow1_binary64
462×add-log-exp_binary64
462×log1p-expm1-u_binary64
462×expm1-log1p-u_binary64
452×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1988
212148
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2))) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2))) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))))))

simplify30.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
475×fma-def_binary64
420×times-frac_binary64
268×sub-neg_binary64
259×associate-*l*_binary64
219×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027184
175180
2197180
3552180
41468180
53917180
Stop Event
1×node limit
Counts
43 → 45
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(-.f64 (+.f64 x (pow.f64 x 5)) (pow.f64 x 3))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x)))
(+.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (pow.f64 x 3)))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))

eval12.0ms (0.7%)

Compiler

Compiled 513 to 345 computations (32.7% saved)

prune11.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New42345
Fresh000
Picked011
Done000
Total42446
Error
0b
Counts
46 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓14.7b
(/.f64 x (fma.f64 x x 1))
30.3b
(-.f64 x (pow.f64 x 3))
▶14.7b
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1))))
33.9b
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
Compiler

Compiled 95 to 70 computations (26.3% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (sqrt.f64 (fma.f64 x x 1)))
✓0.0b
(/.f64 1 (sqrt.f64 (fma.f64 x x 1)))
✓14.7b
(sqrt.f64 (fma.f64 x x 1))

series4.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

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

rewrite43.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
662×pow1_binary64
614×add-log-exp_binary64
614×log1p-expm1-u_binary64
614×expm1-log1p-u_binary64
68×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0727
114225
2173125
Stop Event
1×node limit
Counts
3 → 83
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 x x 1))
(/.f64 1 (sqrt.f64 (fma.f64 x x 1)))
(/.f64 x (sqrt.f64 (fma.f64 x x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x 1))) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) 1/4) (pow.f64 (fma.f64 x x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (fma.f64 x x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x x 1) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (fma.f64 x x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x 1) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 x x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)) (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x x 1) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 x x 1) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (fma.f64 x x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1)))) (cbrt.f64 (/.f64 (*.f64 x x) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (fma.f64 x x 1))) (cbrt.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)) (/.f64 x (pow.f64 (fma.f64 x x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1)))) (sqrt.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 1))) (/.f64 x (cbrt.f64 (sqrt.f64 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (fma.f64 x x 1) 1/4)) (/.f64 (cbrt.f64 x) (pow.f64 (fma.f64 x x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x x 1)))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x 1)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1)))))))))

simplify31.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
587×associate-*l*_binary64
470×associate-/r*_binary64
354×fma-def_binary64
194×sub-neg_binary64
191×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093512
1283503
2774496
32200496
Stop Event
1×node limit
Counts
119 → 144
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4))))
(+.f64 (*.f64 -5/16 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) (+.f64 (*.f64 -5/16 (pow.f64 x 7)) x)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) 1)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))))
Outputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) 1))
(fma.f64 x (*.f64 1/2 x) (fma.f64 -1/8 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 6))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 1/16 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 6)))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 x (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1/2 x)))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(fma.f64 x -1 (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (/.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) x))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/2 x) x) (/.f64 -1/16 (pow.f64 x 5))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 3/8)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 3/8 (*.f64 (*.f64 -1/2 x) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 3/8 1))
(+.f64 (*.f64 -5/16 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4)))))
(fma.f64 -5/16 (pow.f64 x 6) (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 3/8))))
(+.f64 (fma.f64 (pow.f64 x 4) 3/8 (*.f64 (*.f64 -1/2 x) x)) (fma.f64 (pow.f64 x 6) -5/16 1))
(fma.f64 (pow.f64 x 6) -5/16 (fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 3/8 1)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 3/8 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))
(+.f64 (/.f64 3/8 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 3/8 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 5/16 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 3/8 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3)))) (/.f64 5/16 (pow.f64 x 7)))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 3/8 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))) (/.f64 -5/16 (pow.f64 x 7))))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 -1 x))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5))))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) (/.f64 -3/8 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 5/16 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5))))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (-.f64 (/.f64 5/16 (pow.f64 x 7)) (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 -3/8 (pow.f64 x 5))) (-.f64 (/.f64 1 x) (/.f64 5/16 (pow.f64 x 7))))
(+.f64 (/.f64 5/16 (pow.f64 x 7)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) (/.f64 -3/8 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) x)
(fma.f64 -1/2 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/2 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) x))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 3/8 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (pow.f64 x 5) 3/8 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) (+.f64 (*.f64 -5/16 (pow.f64 x 7)) x)))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 3/8 (pow.f64 x 5) (fma.f64 -5/16 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (pow.f64 x 5) 3/8 (fma.f64 -5/16 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 -5/16 (pow.f64 x 7) (fma.f64 (pow.f64 x 5) 3/8 x)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 1 (/.f64 1/2 (*.f64 x x)))
(+.f64 1 (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (-.f64 (/.f64 3/8 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
(-.f64 (+.f64 1 (/.f64 3/8 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 3/8 (pow.f64 x 4)) (-.f64 1 (/.f64 1/2 (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (-.f64 (/.f64 3/8 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 5/16 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 3/8 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) (/.f64 -5/16 (pow.f64 x 6))))
-1
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) 1)
(+.f64 (/.f64 1/2 (*.f64 x x)) -1)
(+.f64 -1 (/.f64 1/2 (*.f64 x x)))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/8 (pow.f64 x 4))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 -1 (/.f64 3/8 (pow.f64 x 4))))
(+.f64 -1 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -3/8 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 5/16 (pow.f64 x 6)) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/8 (pow.f64 x 4)))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (/.f64 5/16 (pow.f64 x 6)) (+.f64 1 (/.f64 3/8 (pow.f64 x 4)))))
(+.f64 (/.f64 5/16 (pow.f64 x 6)) (+.f64 -1 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -3/8 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 5/16 (pow.f64 x 6))) (+.f64 -1 (/.f64 -3/8 (pow.f64 x 4))))

eval80.0ms (4.8%)

Compiler

Compiled 3880 to 2800 computations (27.8% saved)

prune69.0ms (4.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1911192
Fresh112
Picked101
Done011
Total1933196
Error
0b
Counts
196 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓14.7b
(/.f64 x (fma.f64 x x 1))
▶14.8b
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (*.f64 (*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))))
33.9b
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
Compiler

Compiled 103 to 78 computations (24.3% saved)

localize12.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))
✓0.2b
(*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))
14.7b
(sqrt.f64 (fma.f64 x x 1))
✓14.7b
(pow.f64 (fma.f64 x x 1) -1/2)

series6.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (fma.f64 x x 1) -1/2)
1.0ms
x
@inf
(*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))
1.0ms
x
@-inf
(*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))
1.0ms
x
@0
(*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))
1.0ms
x
@inf
(pow.f64 (fma.f64 x x 1) -1/2)

rewrite44.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
762×pow1_binary64
706×log1p-expm1-u_binary64
706×expm1-log1p-u_binary64
84×add-sqr-sqrt_binary64
78×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
117930
2197230
Stop Event
1×node limit
Counts
3 → 52
Calls
Call 1
Inputs
(pow.f64 (fma.f64 x x 1) -1/2)
(*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))
(*.f64 (*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x 1) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 x x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) -1/4) (pow.f64 (fma.f64 x x 1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1/4)) (pow.f64 (fma.f64 x x 1) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1)) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) -1/8) (*.f64 (pow.f64 (fma.f64 x x 1) -1/8) (pow.f64 (fma.f64 x x 1) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 x x 1) -1/4) (pow.f64 (fma.f64 x x 1) -1/8)) (pow.f64 (fma.f64 x x 1) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 x x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 x x 1) -1/4) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 x x 1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x 1) -1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x 1) -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 (fma.f64 x x 1) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x 1) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x 1) -3/4) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/4))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x 1) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (pow.f64 (fma.f64 x x 1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x 1) -3/4) (pow.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/4)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/4)) 3) (pow.f64 (fma.f64 x x 1) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (fma.f64 x x 1) -1/2))) 1))))))

simplify32.0ms (2%)

Algorithm
1×egg-herbie
Rules
471×associate-*l*_binary64
456×fma-def_binary64
417×associate-/r*_binary64
345×associate-*r*_binary64
134×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0106622
1304616
2800594
32137582
Stop Event
1×node limit
Counts
88 → 114
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4))))
(+.f64 (*.f64 -5/16 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) (+.f64 (*.f64 5/32 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) (+.f64 (*.f64 -15/128 (pow.f64 x 7)) (+.f64 (*.f64 5/32 (pow.f64 x 5)) x)))
(sqrt.f64 x)
(+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (sqrt.f64 x))
(+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (sqrt.f64 x) (*.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -15/128 (sqrt.f64 (/.f64 1 (pow.f64 x 11)))) (+.f64 (sqrt.f64 x) (*.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 x))
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 x)))
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 5/32 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 x))))
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 -15/128 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 11))))) (+.f64 (*.f64 5/32 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 x)))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) (+.f64 (*.f64 -5/16 (pow.f64 x 7)) x)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) 1)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 3/8 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 3/8 (pow.f64 x 4) 1))
(+.f64 (*.f64 -5/16 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4)))))
(fma.f64 -5/16 (pow.f64 x 6) (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 3/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 3/8 (pow.f64 x 4))) (fma.f64 -5/16 (pow.f64 x 6) 1))
(fma.f64 -5/16 (pow.f64 x 6) (fma.f64 -1/2 (*.f64 x x) (fma.f64 3/8 (pow.f64 x 4) 1)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 3/8 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 3/8 (pow.f64 x 5)) (/.f64 -1/2 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5))) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 5/16 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 3/8 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 5/16 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 3/8 (pow.f64 x 5)) (-.f64 (/.f64 -5/16 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3)))))
(+.f64 (/.f64 3/8 (pow.f64 x 5)) (-.f64 (/.f64 -1/2 (pow.f64 x 3)) (+.f64 (/.f64 5/16 (pow.f64 x 7)) (/.f64 -1 x))))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 -1 x))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 3/8 (pow.f64 x 5)))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) (/.f64 3/8 (pow.f64 x 5))))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 -3/8 (pow.f64 x 5))))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) (/.f64 -3/8 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 5/16 (pow.f64 x 7)) (-.f64 (-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 3/8 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 5/16 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5))))
(+.f64 (+.f64 (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 5/16 (pow.f64 x 7))) (/.f64 -1 x)) (/.f64 -3/8 (pow.f64 x 5)))
x
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/4 x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) (+.f64 (*.f64 5/32 (pow.f64 x 5)) x))
(fma.f64 -1/4 (pow.f64 x 3) (fma.f64 5/32 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/4 (fma.f64 (pow.f64 x 5) 5/32 x))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) (+.f64 (*.f64 -15/128 (pow.f64 x 7)) (+.f64 (*.f64 5/32 (pow.f64 x 5)) x)))
(fma.f64 -1/4 (pow.f64 x 3) (fma.f64 -15/128 (pow.f64 x 7) (fma.f64 5/32 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) -1/4 (fma.f64 (pow.f64 x 7) -15/128 (fma.f64 (pow.f64 x 5) 5/32 x)))
(fma.f64 (pow.f64 x 7) -15/128 (fma.f64 (pow.f64 x 3) -1/4 (fma.f64 (pow.f64 x 5) 5/32 x)))
(fma.f64 (pow.f64 x 3) -1/4 (fma.f64 (pow.f64 x 5) 5/32 (fma.f64 (pow.f64 x 7) -15/128 x)))
(sqrt.f64 x)
(+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (sqrt.f64 x))
(fma.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 x))
(+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (sqrt.f64 x) (*.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (fma.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 x)) (*.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))
(fma.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 x)))
(+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -15/128 (sqrt.f64 (/.f64 1 (pow.f64 x 11)))) (+.f64 (sqrt.f64 x) (*.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))
(fma.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -15/128 (sqrt.f64 (/.f64 1 (pow.f64 x 11))) (+.f64 (sqrt.f64 x) (*.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))
(fma.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -15/128 (sqrt.f64 (/.f64 1 (pow.f64 x 11))) (fma.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 x))))
(fma.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 -15/128 (sqrt.f64 (/.f64 1 (pow.f64 x 11))) (sqrt.f64 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 -1))
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 x)))
(fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(fma.f64 (*.f64 -1/4 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 -1) (fma.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 x)))
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 5/32 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 x))))
(fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1)) (fma.f64 5/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 x) (sqrt.f64 -1))))
(fma.f64 (*.f64 -1/4 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 (*.f64 5/32 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1))))
(fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) (fma.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 x))))
(*.f64 (sqrt.f64 -1) (fma.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 x))))
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 -15/128 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 11))))) (+.f64 (*.f64 5/32 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 x)))))
(fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1)) (fma.f64 -15/128 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 11))) (sqrt.f64 -1)) (fma.f64 5/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))))
(fma.f64 (*.f64 -1/4 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 (*.f64 -15/128 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 11))) (fma.f64 (*.f64 5/32 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))))
(+.f64 (*.f64 (sqrt.f64 -1) (fma.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 x))) (*.f64 (sqrt.f64 -1) (fma.f64 -15/128 (sqrt.f64 (/.f64 1 (pow.f64 x 11))) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 (sqrt.f64 -1) (fma.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 -15/128 (sqrt.f64 (/.f64 1 (pow.f64 x 11))) (sqrt.f64 x)))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) x)
(fma.f64 -1/2 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) x))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 3/8 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) (+.f64 (*.f64 -5/16 (pow.f64 x 7)) x)))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 3/8 (pow.f64 x 5) (fma.f64 -5/16 (pow.f64 x 7) x)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 1 (/.f64 1/2 (*.f64 x x)))
(+.f64 1 (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (-.f64 (/.f64 3/8 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (+.f64 1 (/.f64 3/8 (pow.f64 x 4))) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (/.f64 3/8 (pow.f64 x 4)) (+.f64 1 (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 1 (/.f64 3/8 (pow.f64 x 4))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 5/16 (pow.f64 x 6))))
(+.f64 1 (-.f64 (+.f64 (/.f64 3/8 (pow.f64 x 4)) (/.f64 -1/2 (*.f64 x x))) (/.f64 5/16 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 3/8 (pow.f64 x 4)) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 5/16 (pow.f64 x 6)))))
(+.f64 (/.f64 3/8 (pow.f64 x 4)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (+.f64 1 (/.f64 -5/16 (pow.f64 x 6)))))
-1
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) 1)
(+.f64 (/.f64 1/2 (*.f64 x x)) -1)
(+.f64 -1 (/.f64 1/2 (*.f64 x x)))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/8 (pow.f64 x 4))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 -1 (/.f64 3/8 (pow.f64 x 4))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 -1 (/.f64 -3/8 (pow.f64 x 4))))
(+.f64 -1 (+.f64 (/.f64 -3/8 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 5/16 (pow.f64 x 6)) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/8 (pow.f64 x 4)))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (/.f64 5/16 (pow.f64 x 6)) (+.f64 1 (/.f64 3/8 (pow.f64 x 4)))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (-.f64 (/.f64 5/16 (pow.f64 x 6)) (/.f64 3/8 (pow.f64 x 4))) 1))
(+.f64 -1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 5/16 (pow.f64 x 6)) (/.f64 -3/8 (pow.f64 x 4)))))

eval122.0ms (7.3%)

Compiler

Compiled 5958 to 4481 computations (24.8% saved)

prune71.0ms (4.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2040204
Fresh011
Picked011
Done011
Total2043207
Error
0b
Counts
207 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓14.7b
(/.f64 x (fma.f64 x x 1))
✓14.8b
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (*.f64 (*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))))
▶33.9b
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
Compiler

Compiled 77 to 59 computations (23.4% saved)

localize12.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 -1 (pow.f64 x 7))
✓0.1b
(/.f64 1 (pow.f64 x 5))
✓0.3b
(/.f64 -1 (pow.f64 x 3))
✓24.9b
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))

series6.0ms (0.3%)

Counts
4 → 12
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))
1.0ms
x
@0
(/.f64 -1 (pow.f64 x 7))
1.0ms
x
@0
(/.f64 -1 (pow.f64 x 3))
1.0ms
x
@0
(/.f64 1 (pow.f64 x 5))
0.0ms
x
@inf
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))

rewrite66.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
275×log1p-udef_binary64
171×add-sqr-sqrt_binary64
163×add-log-exp_binary64
163×log1p-expm1-u_binary64
163×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01540
135435
2490735
Stop Event
1×node limit
Counts
4 → 120
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))
(/.f64 -1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 5))
(/.f64 -1 (pow.f64 x 7))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -10) (-.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))) (/.f64 (pow.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) 2) (-.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))) 2) (cbrt.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 x -5/2) (sqrt.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))) (hypot.f64 (pow.f64 x -5/2) (sqrt.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -15) (pow.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) 3)) (/.f64 1 (+.f64 (pow.f64 x -10) (*.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) (-.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) (pow.f64 x -5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -10) (pow.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) 2)) (/.f64 1 (-.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -10) (*.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) (-.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) (pow.f64 x -5)))) (+.f64 (pow.f64 x -15) (pow.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))) (-.f64 (pow.f64 x -10) (pow.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -15) (pow.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) 3)) (+.f64 (pow.f64 x -10) (*.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) (-.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -15) (pow.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) 3)) (+.f64 (pow.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) 2) (-.f64 (pow.f64 x -10) (*.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -10) (pow.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) 2)) (-.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -15) (pow.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) 3))) (neg.f64 (+.f64 (pow.f64 x -10) (*.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) (-.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) (pow.f64 x -5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -10) (pow.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) 2))) (neg.f64 (-.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 10) (*.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) (neg.f64 (pow.f64 x 3))))) (pow.f64 (pow.f64 x 5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (pow.f64 x 10)) (*.f64 (neg.f64 (pow.f64 x 5)) (fma.f64 -1 (pow.f64 x 7) (neg.f64 (pow.f64 x 3))))) (*.f64 (neg.f64 (pow.f64 x 5)) (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 6)) (-.f64 (/.f64 1 (pow.f64 x 14)) (pow.f64 x -10))) (*.f64 (pow.f64 x 5) (+.f64 (pow.f64 (neg.f64 (pow.f64 x -3)) 3) (pow.f64 (neg.f64 (pow.f64 x -7)) 3)))) (*.f64 (pow.f64 x 5) (+.f64 (/.f64 1 (pow.f64 x 6)) (-.f64 (/.f64 1 (pow.f64 x 14)) (pow.f64 x -10)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 x 6)) (-.f64 (/.f64 1 (pow.f64 x 14)) (pow.f64 x -10)))) (*.f64 (neg.f64 (pow.f64 x 5)) (+.f64 (pow.f64 (neg.f64 (pow.f64 x -3)) 3) (pow.f64 (neg.f64 (pow.f64 x -7)) 3)))) (*.f64 (neg.f64 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 6)) (-.f64 (/.f64 1 (pow.f64 x 14)) (pow.f64 x -10)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 x -3)) (pow.f64 x -7)) (*.f64 (pow.f64 x 5) (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 14))))) (*.f64 (pow.f64 x 5) (+.f64 (neg.f64 (pow.f64 x -3)) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (+.f64 (neg.f64 (pow.f64 x -3)) (pow.f64 x -7))) (*.f64 (neg.f64 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 14))))) (*.f64 (neg.f64 (pow.f64 x 5)) (+.f64 (neg.f64 (pow.f64 x -3)) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (fma.f64 -1 (pow.f64 x 7) (neg.f64 (pow.f64 x 3))) (pow.f64 x 5)) (*.f64 (pow.f64 x 10) 1)) (pow.f64 (pow.f64 x 5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 x -3)) 3) (pow.f64 (neg.f64 (pow.f64 x -7)) 3)) (pow.f64 x 5)) (*.f64 (+.f64 (/.f64 1 (pow.f64 x 6)) (-.f64 (/.f64 1 (pow.f64 x 14)) (pow.f64 x -10))) 1)) (*.f64 (+.f64 (/.f64 1 (pow.f64 x 6)) (-.f64 (/.f64 1 (pow.f64 x 14)) (pow.f64 x -10))) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 14))) (pow.f64 x 5)) (*.f64 (+.f64 (neg.f64 (pow.f64 x -3)) (pow.f64 x -7)) 1)) (*.f64 (+.f64 (neg.f64 (pow.f64 x -3)) (pow.f64 x -7)) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (fma.f64 -1 (pow.f64 x 7) (neg.f64 (pow.f64 x 3))) (neg.f64 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) -1)) (*.f64 (pow.f64 x 10) (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 x -3)) 3) (pow.f64 (neg.f64 (pow.f64 x -7)) 3)) (neg.f64 (pow.f64 x 5))) (*.f64 (+.f64 (/.f64 1 (pow.f64 x 6)) (-.f64 (/.f64 1 (pow.f64 x 14)) (pow.f64 x -10))) -1)) (*.f64 (+.f64 (/.f64 1 (pow.f64 x 6)) (-.f64 (/.f64 1 (pow.f64 x 14)) (pow.f64 x -10))) (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 14))) (neg.f64 (pow.f64 x 5))) (*.f64 (+.f64 (neg.f64 (pow.f64 x -3)) (pow.f64 x -7)) -1)) (*.f64 (+.f64 (neg.f64 (pow.f64 x -3)) (pow.f64 x -7)) (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 x -5) (neg.f64 (pow.f64 x -3))) 3) (pow.f64 (neg.f64 (pow.f64 x -7)) 3)) (+.f64 (*.f64 (+.f64 (pow.f64 x -5) (neg.f64 (pow.f64 x -3))) (+.f64 (pow.f64 x -5) (neg.f64 (pow.f64 x -3)))) (-.f64 (/.f64 1 (pow.f64 x 14)) (*.f64 (+.f64 (pow.f64 x -5) (neg.f64 (pow.f64 x -3))) (neg.f64 (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) 2) (pow.f64 x -10)) (-.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x -5) (neg.f64 (pow.f64 x -3))) (+.f64 (pow.f64 x -5) (neg.f64 (pow.f64 x -3)))) (/.f64 1 (pow.f64 x 14))) (-.f64 (+.f64 (pow.f64 x -5) (neg.f64 (pow.f64 x -3))) (neg.f64 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 x -5/2) (sqrt.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -10)) (cbrt.f64 (pow.f64 x -5)) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))) 2) (cbrt.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))) (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -5/2) (pow.f64 x -5/2) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))) (sqrt.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))) (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -5) (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (pow.f64 (/.f64 -1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 x) 2) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (pow.f64 x -3))) (sqrt.f64 (neg.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (pow.f64 x -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 x -3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -5)) (cbrt.f64 (pow.f64 x -10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -10)) (cbrt.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5/2) (pow.f64 x -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -5) (pow.f64 (cbrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -5) (pow.f64 (sqrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 10)) -1) (pow.f64 (cbrt.f64 (pow.f64 x 5)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/2) -1) (pow.f64 (pow.f64 x 5/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -5)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 5) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -5)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -5/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -15) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -15))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -5 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 5 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -5 (log.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 x -7))) (cbrt.f64 (/.f64 1 (pow.f64 x 14))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 14))) (cbrt.f64 (neg.f64 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (pow.f64 x -7))) (sqrt.f64 (neg.f64 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -7) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x -7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (pow.f64 x -7))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x 7)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 x -7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -7))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 x -7))) 1))))))

simplify23.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
494×associate-/l/_binary64
478×associate-*l*_binary64
354×times-frac_binary64
254×associate-*r*_binary64
198×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019219
145219
294219
3200219
4464219
51359219
Stop Event
1×node limit
Counts
132 → 128
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 7))
(-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 -1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 -1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
Outputs
(/.f64 -1 (pow.f64 x 7))
(-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 7)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 7)))
(/.f64 -1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 7)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 7)))
(/.f64 -1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 7)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 7)))

eval71.0ms (4.3%)

Compiler

Compiled 3369 to 2710 computations (19.6% saved)

prune42.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh000
Picked011
Done022
Total1283131
Error
0b
Counts
131 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓14.7b
(/.f64 x (fma.f64 x x 1))
✓14.8b
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (*.f64 (*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))))
✓33.9b
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
Compiler

Compiled 55 to 41 computations (25.5% saved)

regimes27.0ms (1.6%)

Accuracy

Total -63.8b remaining (-1634146%)

Threshold costs -63.8b (-1634146%)

Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (*.f64 (*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))))
(-.f64 x (pow.f64 x 3))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
(/.f64 x (fma.f64 x x 1))
(/.f64 x (+.f64 (*.f64 x x) 1))
Outputs
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (*.f64 (*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
Results
TimeErrorSegmentsBranch
13.0ms0.0b3x
11.0ms0.0b3(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 90 to 62 computations (31.1% saved)

bsearch31.0ms (1.8%)

Algorithm
2×binary-search
Steps
TimePointRange
15.0ms
0.03147942073716495
∈ [
0.03147942073716495
, 
31600789800.500782
]
15.0ms
-220.46626152611887
∈ [
-220.46626152611887
, 
-1.4638476353826964
]
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×+-commutative_binary64
3×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033111
141111
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -7756966978568713/35184372088832) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))) (if (<=.f64 x 580692817927107072/18446744073709551616) (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (*.f64 (*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))))
Outputs
(if (<=.f64 x -7756966978568713/35184372088832) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))) (if (<=.f64 x 580692817927107072/18446744073709551616) (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (*.f64 (*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))))
(if (<=.f64 x -7756966978568713/35184372088832) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))) (if (<=.f64 x 1134165660013881/36028797018963968) (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2)) (*.f64 x (sqrt.f64 (pow.f64 (fma.f64 x x 1) -1/2))))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))))

end50.0ms (3%)

Stop Event
1×done
Compiler

Compiled 152 to 118 computations (22.4% saved)

Profiling

Loading profile data...