Details

Time bar (total: 2.5s)

analyze3.0ms (0.1%)

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)

sample1.1s (46.1%)

Results
1.1s8256×body128valid
Compiler

Compiled 18 to 12 computations (33.3% saved)

preprocess28.0ms (1.1%)

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)

simplify12.0ms (0.5%)

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))

prune5.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
14.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶14.3b
(/.f64 x (fma.f64 x x 1))
Compiler

Compiled 28 to 16 computations (42.9% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓14.3b
(/.f64 x (fma.f64 x x 1))

series6.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 x (fma.f64 x x 1))
2.0ms
x
@inf
(/.f64 x (fma.f64 x x 1))
1.0ms
x
@0
(/.f64 x (fma.f64 x x 1))

rewrite48.0ms (2%)

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 expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))))) (#(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 exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))))))

simplify43.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
485×times-frac_binary64
468×fma-def_binary64
270×sub-neg_binary64
263×fma-neg_binary64
230×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023180
165180
2180180
3453180
41323180
53836180
Stop Event
1×node limit
Counts
43 → 44
Calls
Call 1
Inputs
x
(-.f64 x (pow.f64 x 3))
(-.f64 (+.f64 (pow.f64 x 5) x) (pow.f64 x 3))
(-.f64 (+.f64 (pow.f64 x 5) x) (+.f64 (pow.f64 x 7) (pow.f64 x 3)))
(/.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 7)) (/.f64 1 (pow.f64 x 3))))
(/.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 7)) (/.f64 1 (pow.f64 x 3))))
Outputs
x
(-.f64 x (pow.f64 x 3))
(-.f64 (+.f64 (pow.f64 x 5) x) (pow.f64 x 3))
(+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3)))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(-.f64 (+.f64 x (pow.f64 x 5)) (pow.f64 x 3))
(-.f64 (+.f64 (pow.f64 x 5) x) (+.f64 (pow.f64 x 7) (pow.f64 x 3)))
(-.f64 (+.f64 x (pow.f64 x 5)) (+.f64 (pow.f64 x 3) (pow.f64 x 7)))
(-.f64 (-.f64 x (pow.f64 x 7)) (-.f64 (pow.f64 x 3) (pow.f64 x 5)))
(+.f64 x (-.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) (pow.f64 x 7))))
(+.f64 (-.f64 x (pow.f64 x 3)) (-.f64 (pow.f64 x 5) (pow.f64 x 7)))
(+.f64 (pow.f64 x 5) (-.f64 x (+.f64 (pow.f64 x 3) (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 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 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.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 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.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 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 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 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 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.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 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.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 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))))

prune55.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New42244
Fresh000
Picked011
Done000
Total42345
Error
0b
Counts
45 → 3
Alt Table
StatusErrorProgram
▶14.2b
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1))))
31.6b
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
✓14.3b
(/.f64 x (fma.f64 x x 1))
Compiler

Compiled 559 to 376 computations (32.7% saved)

localize12.0ms (0.5%)

Local error

Found 4 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)))
✓0.0b
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1))))
✓14.2b
(sqrt.f64 (fma.f64 x x 1))

series40.0ms (1.6%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
24.0ms
x
@inf
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1))))
2.0ms
x
@-inf
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1))))
2.0ms
x
@inf
(/.f64 x (sqrt.f64 (fma.f64 x x 1)))
2.0ms
x
@-inf
(/.f64 x (sqrt.f64 (fma.f64 x x 1)))
1.0ms
x
@-inf
(/.f64 1 (sqrt.f64 (fma.f64 x x 1)))

rewrite105.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
814×pow1_binary64
757×log1p-expm1-u_binary64
757×expm1-log1p-u_binary64
79×add-sqr-sqrt_binary64
76×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0835
116633
2216833
Stop Event
1×node limit
Counts
4 → 143
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 x x 1))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (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) (pow.f64 (sqrt.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 expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x 1))))))) (#(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 exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x 1))) 1))))))
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simplify73.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
604×fma-neg_binary64
367×sub-neg_binary64
341×fma-def_binary64
201×cancel-sign-sub-inv_binary64
157×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
095698
1317692
2934678
32943678
Stop Event
1×node limit
Counts
191 → 215
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/8 (pow.f64 x 4)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))) (*.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 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x)))
x
(-.f64 x (pow.f64 x 3))
(-.f64 (+.f64 (pow.f64 x 5) x) (pow.f64 x 3))
(-.f64 (+.f64 (pow.f64 x 5) x) (+.f64 (pow.f64 x 7) (pow.f64 x 3)))
(/.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 7)) (/.f64 1 (pow.f64 x 3))))
(/.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 7)) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 3/8 (pow.f64 x 4)) 1) (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 3/8 (pow.f64 x 4)) 1) (+.f64 (*.f64 5/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/8 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/8 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)) (+.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 3/8 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/8 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)))
x
(-.f64 x (*.f64 1/2 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 3/8 (pow.f64 x 5)) x) (*.f64 1/2 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 3/8 (pow.f64 x 5)) x) (+.f64 (*.f64 5/16 (pow.f64 x 7)) (*.f64 1/2 (pow.f64 x 3))))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/8 (/.f64 1 (pow.f64 x 4))) 1) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/8 (/.f64 1 (pow.f64 x 4))) 1) (+.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 (*.f64 3/8 (/.f64 1 (pow.f64 x 4))) 1))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3/8 (/.f64 1 (pow.f64 x 4))) 1))
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 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/8 (pow.f64 x 4)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8)))
(fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (*.f64 x x) 1))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 1/8 (pow.f64 x 4)))
(+.f64 1 (-.f64 (fma.f64 1/16 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))) (*.f64 1/8 (pow.f64 x 4))))
(+.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 1/16 (pow.f64 x 6))) (-.f64 1 (*.f64 1/8 (pow.f64 x 4))))
(fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) 1)))
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 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (-.f64 x (/.f64 1/8 (pow.f64 x 3)))))
(+.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.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 -1 x)
(neg.f64 x)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(neg.f64 (+.f64 x (/.f64 1/2 x)))
(-.f64 (/.f64 -1/2 x) x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 x (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)) x))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (-.f64 (/.f64 -1/2 x) x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/2 x) x) (/.f64 -1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 1/16 (pow.f64 x 5)))))
x
(-.f64 x (pow.f64 x 3))
(-.f64 (+.f64 (pow.f64 x 5) x) (pow.f64 x 3))
(+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3)))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(-.f64 (+.f64 (pow.f64 x 5) x) (+.f64 (pow.f64 x 7) (pow.f64 x 3)))
(-.f64 (+.f64 x (pow.f64 x 5)) (+.f64 (pow.f64 x 3) (pow.f64 x 7)))
(+.f64 (pow.f64 x 5) (-.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 7)))
(+.f64 (pow.f64 x 5) (-.f64 x (+.f64 (pow.f64 x 3) (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 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 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 7)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1 x) (-.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 x) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 7))) (/.f64 1 (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 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 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 7)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1 x) (-.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 x) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(-.f64 (+.f64 (*.f64 3/8 (pow.f64 x 4)) 1) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (fma.f64 3/8 (pow.f64 x 4) 1) (*.f64 -1/2 (*.f64 x x)))
(+.f64 (fma.f64 (pow.f64 x 4) 3/8 1) (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 4) 3/8 1))
(fma.f64 (pow.f64 x 4) 3/8 (fma.f64 (*.f64 x x) -1/2 1))
(-.f64 (+.f64 (*.f64 3/8 (pow.f64 x 4)) 1) (+.f64 (*.f64 5/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (fma.f64 3/8 (pow.f64 x 4) 1) (fma.f64 5/16 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))))
(-.f64 (fma.f64 (pow.f64 x 4) 3/8 1) (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 6) 5/16)))
(+.f64 (fma.f64 (pow.f64 x 4) 3/8 1) (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 6) -5/16)))
(+.f64 (fma.f64 (pow.f64 x 4) 3/8 1) (fma.f64 x (*.f64 x -1/2) (*.f64 (pow.f64 x 6) -5/16)))
(/.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 3/8 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (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 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 1 x) (+.f64 (/.f64 3/8 (pow.f64 x 5)) (/.f64 -1/2 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/8 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)) (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 3/8 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 5/16 (pow.f64 x 7)))))
(+.f64 (/.f64 3/8 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 x) (/.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 3/8 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1 x) (/.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 3/8 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)))
(-.f64 (-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/8 (pow.f64 x 5))) (/.f64 1 x))
(+.f64 (-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/8 (pow.f64 x 5))) (/.f64 -1 x))
(-.f64 (/.f64 1/2 (pow.f64 x 3)) (-.f64 (/.f64 3/8 (pow.f64 x 5)) (/.f64 -1 x)))
(+.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 3/8 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)))
(+.f64 (/.f64 5/16 (pow.f64 x 7)) (-.f64 (-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/8 (pow.f64 x 5))) (/.f64 1 x)))
(+.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 5/16 (pow.f64 x 7)) (-.f64 (/.f64 1/2 (pow.f64 x 3)) (-.f64 (/.f64 3/8 (pow.f64 x 5)) (/.f64 -1 x))))
(+.f64 (-.f64 (/.f64 5/16 (pow.f64 x 7)) (/.f64 -1/2 (pow.f64 x 3))) (+.f64 (/.f64 -1 x) (/.f64 -3/8 (pow.f64 x 5))))
x
(-.f64 x (*.f64 1/2 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/2))
(fma.f64 (pow.f64 x 3) -1/2 x)
(-.f64 (+.f64 (*.f64 3/8 (pow.f64 x 5)) x) (*.f64 1/2 (pow.f64 x 3)))
(+.f64 (fma.f64 3/8 (pow.f64 x 5) x) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (fma.f64 (pow.f64 x 5) 3/8 x) (*.f64 (pow.f64 x 3) -1/2))
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (pow.f64 x 5) 3/8 x))
(-.f64 (+.f64 (*.f64 3/8 (pow.f64 x 5)) x) (+.f64 (*.f64 5/16 (pow.f64 x 7)) (*.f64 1/2 (pow.f64 x 3))))
(-.f64 (fma.f64 3/8 (pow.f64 x 5) x) (fma.f64 5/16 (pow.f64 x 7) (*.f64 1/2 (pow.f64 x 3))))
(-.f64 (fma.f64 (pow.f64 x 5) 3/8 x) (fma.f64 1/2 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 5/16)))
(-.f64 (fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (pow.f64 x 5) 3/8 x)) (*.f64 (pow.f64 x 7) 5/16))
(+.f64 x (fma.f64 (pow.f64 x 5) 3/8 (fma.f64 (pow.f64 x 7) -5/16 (*.f64 (pow.f64 x 3) -1/2))))
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 (*.f64 3/8 (/.f64 1 (pow.f64 x 4))) 1) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (/.f64 3/8 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x)))
(+.f64 1 (-.f64 (/.f64 3/8 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
(+.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 (*.f64 3/8 (/.f64 1 (pow.f64 x 4))) 1) (+.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 (-.f64 (+.f64 1 (/.f64 3/8 (pow.f64 x 4))) (/.f64 5/16 (pow.f64 x 6))) (/.f64 -1/2 (*.f64 x x)))
(+.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 -5/16 (pow.f64 x 6))) (/.f64 -1/2 (*.f64 x x))))
-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 (*.f64 3/8 (/.f64 1 (pow.f64 x 4))) 1))
(-.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 (*.f64 3/8 (/.f64 1 (pow.f64 x 4))) 1))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 5/16 (pow.f64 x 6))) (+.f64 1 (/.f64 3/8 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -3/8 (pow.f64 x 4))) (+.f64 -1 (/.f64 5/16 (pow.f64 x 6))))
(+.f64 -1 (+.f64 (/.f64 5/16 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -3/8 (pow.f64 x 4)))))

prune328.0ms (13.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2650265
Fresh011
Picked011
Done011
Total2653268
Error
0b
Counts
268 → 3
Alt Table
StatusErrorProgram
✓14.2b
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1))))
▶31.6b
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
✓14.3b
(/.f64 x (fma.f64 x x 1))
Compiler

Compiled 4980 to 3547 computations (28.8% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
✓0.1b
(/.f64 1 (pow.f64 x 3))

series9.0ms (0.3%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 1 (pow.f64 x 3))
2.0ms
x
@0
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
1.0ms
x
@-inf
(/.f64 1 (pow.f64 x 3))
1.0ms
x
@inf
(/.f64 1 (pow.f64 x 3))
1.0ms
x
@-inf
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))

rewrite72.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
841×log1p-expm1-u_binary64
841×expm1-log1p-u_binary64
91×add-sqr-sqrt_binary64
86×add-cbrt-cube_binary64
86×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
118914
2253914
Stop Event
1×node limit
Counts
2 → 78
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -1/2) 3) (pow.f64 (pow.f64 x -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -3) (pow.f64 (cbrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 3/2) -1) (pow.f64 (pow.f64 x 3/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 x) 3/2) (pow.f64 (/.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 (pow.f64 x -3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (neg.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (neg.f64 (pow.f64 x -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) (fma.f64 (neg.f64 (pow.f64 x -3)) 1 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) (fma.f64 (neg.f64 (/.f64 1 x)) (pow.f64 x -2) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) (fma.f64 (neg.f64 (pow.f64 x -3/2)) (pow.f64 x -3/2) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x -3)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 1 x) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) (sqrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) x) (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (/.f64 1 (+.f64 (pow.f64 x -3) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4))) (-.f64 (pow.f64 x -3) (pow.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -3) (/.f64 1 x)) (-.f64 (pow.f64 x -2) (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) x) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (+.f64 (pow.f64 x -3) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (neg.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9))) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6))) (neg.f64 (+.f64 (pow.f64 x -3) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (*.f64 x -1)) (*.f64 x (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (neg.f64 (pow.f64 x 3))) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 (neg.f64 (pow.f64 x -3)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (neg.f64 (pow.f64 x -3)) (neg.f64 (pow.f64 x -3))) (*.f64 (/.f64 1 x) (neg.f64 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 x -3)) (neg.f64 (pow.f64 x -3)))) (-.f64 (/.f64 1 x) (neg.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x 3) x) x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (neg.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 1))))))

simplify63.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
571×sqr-pow_binary64
456×associate-/r*_binary64
362×unswap-sqr_binary64
322×associate-/l/_binary64
313×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
11815
22915
34415
47915
520515
669915
7217315
8226115
9239415
10255215
11280015
12312815
13354915
14404915
15464415
Stop Event
1×node limit
Counts
81 → 80
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 3))
(/.f64 1 x)
(/.f64 1 x)
Outputs
(/.f64 -1 (pow.f64 x 3))
(/.f64 1 x)
(/.f64 1 x)

prune75.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh000
Picked011
Done022
Total80383
Error
0b
Counts
83 → 3
Alt Table
StatusErrorProgram
✓14.2b
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1))))
✓31.6b
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
✓14.3b
(/.f64 x (fma.f64 x x 1))
Compiler

Compiled 1026 to 777 computations (24.3% saved)

regimes179.0ms (7.2%)

Accuracy

Total 0.0b remaining (50.1%)

Threshold costs 0.0b (50.1%)

Counts
25 → 3
Compiler

Compiled 530 to 370 computations (30.2% saved)

bsearch6.0ms (0.2%)

Algorithm
2×binary-search
Calls

2 calls:

3.0ms
x
3.0ms
x
Steps
ItersPointRange
10000000000.0
∈ [
111941.11574025694
, 
808357550466.226
]
-500000.0
∈ [
-653515.7819204527
, 
-375137.35079469264
]
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×*-commutative_binary64
1×sub-neg_binary64
1×unsub-neg_binary64
1×neg-sub0_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02156
12752
23052
33152
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -500000) (+.f64 (neg.f64 (pow.f64 x -3)) (/.f64 1 x)) (if (<=.f64 x 10000000000) (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x x 1)) (pow.f64 (fma.f64 x x 1) -1/2))) (+.f64 (neg.f64 (pow.f64 x -3)) (/.f64 1 x))))
Outputs
(if (<=.f64 x -500000) (+.f64 (neg.f64 (pow.f64 x -3)) (/.f64 1 x)) (if (<=.f64 x 10000000000) (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x x 1)) (pow.f64 (fma.f64 x x 1) -1/2))) (+.f64 (neg.f64 (pow.f64 x -3)) (/.f64 1 x))))
(if (<=.f64 x -500000) (-.f64 (/.f64 1 x) (pow.f64 x -3)) (if (<=.f64 x 10000000000) (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x x 1)) (pow.f64 (fma.f64 x x 1) -1/2))) (-.f64 (/.f64 1 x) (pow.f64 x -3))))

end156.0ms (6.3%)

Stop Event
1×done
Compiler

Compiled 107 to 75 computations (29.9% saved)

Profiling

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