Details

Time bar (total: 3.8s)

analyze6.0ms (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
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.4s (36.9%)

Results
1.4s8256×body256valid

preprocess22.0ms (0.6%)

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 9 to 6 computations (33.3% saved)

simplify8.0ms (0.2%)

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%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
13.3b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶13.3b
(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓13.3b
(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 18 to 8 computations (55.6% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite51.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
668×pow1_binary64
626×add-log-exp_binary64
626×log1p-expm1-u_binary64
626×expm1-log1p-u_binary64
612×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11308
217498
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.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 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))))) (#(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 (pow.f64 (cbrt.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) (pow.f64 (cbrt.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) (pow.f64 (cbrt.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 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (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 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 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))))))))

simplify56.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
475×fma-def_binary64
420×times-frac_binary64
302×associate-/l/_binary64
289×distribute-rgt-neg-in_binary64
267×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027184
175180
2197180
3547180
41462180
54021180
Stop Event
1×node limit
Counts
45 → 47
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 3)) (pow.f64 x 5))
(+.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 (-.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 (/.f64 1 x) (/.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 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 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 (/.f64 1 x) (+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.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 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 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 (/.f64 1 x) (+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.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)))))

eval13.0ms (0.3%)

Compiler

Compiled 531 to 358 computations (32.6% saved)

prune57.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New42547
Fresh000
Picked011
Done000
Total42648
Error
0b
Counts
48 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.8b
(-.f64 x (pow.f64 x 3))
✓13.3b
(/.f64 x (+.f64 (*.f64 x x) 1))
▶13.3b
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
▶31.4b
(/.f64 1 x)
31.0b
x
▶0.0b
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
Compiler

Compiled 41 to 28 computations (31.7% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
✓0.0b
(/.f64 x (hypot.f64 1 x))
✓0.0b
(/.f64 1 (hypot.f64 1 x))
Compiler

Compiled 27 to 19 computations (29.6% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite71.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
731×pow1_binary64
678×add-log-exp_binary64
678×log1p-expm1-u_binary64
678×expm1-log1p-u_binary64
663×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0727
114724
2194124
Stop Event
1×node limit
Counts
3 → 104
Calls
Call 1
Inputs
(/.f64 1 (hypot.f64 1 x))
(/.f64 x (hypot.f64 1 x))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 x) -1/2) (pow.f64 (hypot.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 x)) -1) (pow.f64 (sqrt.f64 (hypot.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (*.f64 x x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (hypot.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (/.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (hypot.f64 1 x))) (sqrt.f64 (/.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 x) -1/2) (/.f64 x (sqrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 x) -1/2) (*.f64 (pow.f64 (hypot.f64 1 x) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (hypot.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 1 x) -1/2) (sqrt.f64 x)) (*.f64 (pow.f64 (hypot.f64 1 x) -1/2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2))) (/.f64 1 (cbrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -1/2)) (pow.f64 (hypot.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (hypot.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (hypot.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (hypot.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (hypot.f64 1 x) (/.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (hypot.f64 1 x) x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 1 x) (/.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (hypot.f64 1 x) (/.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (hypot.f64 1 x)) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 1 x))) 2) (/.f64 (hypot.f64 1 x) (cbrt.f64 (/.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (*.f64 x x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x (hypot.f64 1 x))) (/.f64 (hypot.f64 1 x) (sqrt.f64 (/.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (*.f64 x x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (hypot.f64 1 x)) (/.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (hypot.f64 1 x) x) (neg.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (hypot.f64 1 x) (neg.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (hypot.f64 1 x))) (neg.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (neg.f64 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (*.f64 (hypot.f64 1 x) (neg.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) -1) (*.f64 (neg.f64 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (hypot.f64 1 x)) 1) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (hypot.f64 1 x)) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (cbrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 x (hypot.f64 1 x))) (neg.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 1 (hypot.f64 1 x))) (neg.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (hypot.f64 1 x)) (neg.f64 x)) (neg.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (hypot.f64 1 x)) -1) (neg.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (hypot.f64 1 x)) 3) (pow.f64 (hypot.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3) (pow.f64 (/.f64 x (hypot.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x (hypot.f64 1 x)) 3) (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))))))))

simplify65.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
976×fma-def_binary64
508×unswap-sqr_binary64
486×sub-neg_binary64
460×associate-*l*_binary64
414×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080538
1239532
2671528
31964528
47095528
Stop Event
1×node limit
Counts
140 → 157
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 -1/2 (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)))))
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
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)))))
(fma.f64 -5/16 (pow.f64 x 6) (fma.f64 -1/2 (*.f64 x x) (fma.f64 3/8 (pow.f64 x 4) 1)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/16 (pow.f64 x 6) (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 -1/2 (pow.f64 x 3))) (/.f64 3/8 (pow.f64 x 5)))
(-.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 -1/2 (pow.f64 x 3))) (+.f64 (/.f64 5/16 (pow.f64 x 7)) (/.f64 -3/8 (pow.f64 x 5))))
(/.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 1/2 (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 (/.f64 1/2 (pow.f64 x 3)) (/.f64 5/16 (pow.f64 x 7))) (/.f64 1 x)) (/.f64 3/8 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 1/2 (pow.f64 x 3)) (-.f64 (/.f64 5/16 (pow.f64 x 7)) (/.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 1/2 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) (+.f64 (/.f64 5/16 (pow.f64 x 7)) (/.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)
(+.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)))
(fma.f64 3/8 (pow.f64 x 5) (fma.f64 -1/2 (pow.f64 x 3) (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 1 (/.f64 (/.f64 1/2 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 3/8 (pow.f64 x 4)) (-.f64 1 (/.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 (/.f64 1/2 x) x)) (/.f64 3/8 (pow.f64 x 4)))
(-.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 (-.f64 1 (/.f64 (/.f64 1/2 x) x)) (+.f64 (/.f64 3/8 (pow.f64 x 4)) (/.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 -1 (/.f64 (/.f64 1/2 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 -1 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -3/8 (pow.f64 x 4))))
(-.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 1 (/.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 -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 1/2 x) x) (+.f64 (/.f64 3/8 (pow.f64 x 4)) (/.f64 -5/16 (pow.f64 x 6)))))
(+.f64 (/.f64 5/16 (pow.f64 x 6)) (-.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 1 (/.f64 3/8 (pow.f64 x 4)))))
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 (pow.f64 x 5) (-.f64 x (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) (-.f64 x (pow.f64 x 7))) (pow.f64 x 3))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3)) (pow.f64 x 7)))
(+.f64 (pow.f64 x 5) (-.f64 (-.f64 x (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 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 (pow.f64 x 5)) (+.f64 (/.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 (/.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 x) (-.f64 (/.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 1 (pow.f64 x 5)) (+.f64 (/.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 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 (pow.f64 x 5)) (+.f64 (/.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 (/.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 x) (-.f64 (/.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 1 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (fma.f64 x x 1))
✓13.3b
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
Compiler

Compiled 21 to 13 computations (38.1% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite47.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
545×pow1_binary64
522×add-sqr-sqrt_binary64
503×add-log-exp_binary64
503×log1p-expm1-u_binary64
503×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
111916
2140916
Stop Event
1×node limit
Counts
2 → 41
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(/.f64 1 (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 1 (/.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (fma.f64 x x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 x) (neg.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (neg.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 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 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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 (fma.f64 x x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.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) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x x 1))))))))

simplify50.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
641×fma-def_binary64
436×associate-*l*_binary64
381×sub-neg_binary64
377×distribute-rgt-neg-in_binary64
341×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050393
1132384
2347382
31144380
45227380
Stop Event
1×node limit
Counts
65 → 70
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))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
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 3)) (pow.f64 x 5))
(+.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 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 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 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 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.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 (/.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 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 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (pow.f64 x 4)))
(+.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x 4))
(fma.f64 (*.f64 x x) (fma.f64 x x -1) 1)
(-.f64 (pow.f64 x 4) (fma.f64 x x -1))
(+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
(fma.f64 -1 (pow.f64 x 6) (+.f64 1 (fma.f64 -1 (*.f64 x x) (pow.f64 x 4))))
(-.f64 (+.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x 4)) (pow.f64 x 6))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x x -1) 1) (pow.f64 x 6))
(-.f64 (pow.f64 x 4) (+.f64 (fma.f64 x x -1) (pow.f64 x 6)))
(-.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 6) (pow.f64 x 4))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 8))) (/.f64 -1 (pow.f64 x 4))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 8))) (/.f64 -1 (pow.f64 x 4))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (pow.f64 x 3))
Compiler

Compiled 11 to 7 computations (36.4% saved)

series5.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(-.f64 x (pow.f64 x 3))
1.0ms
x
@-inf
(-.f64 x (pow.f64 x 3))
0.0ms
x
@0
(-.f64 x (pow.f64 x 3))

rewrite74.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
582×pow1_binary64
549×add-log-exp_binary64
549×log1p-expm1-u_binary64
549×expm1-log1p-u_binary64
537×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11187
214977
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 x (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (*.f64 x x)) x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 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 x (pow.f64 x 3)) (fma.f64 (neg.f64 x) (*.f64 x x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 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)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2) (cbrt.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) (sqrt.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (-.f64 (sqrt.f64 x) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.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 x (pow.f64 x 3)) (-.f64 (*.f64 x x) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 6))) (neg.f64 (+.f64 x (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 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))) (*.f64 x (neg.f64 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3)))) (-.f64 x (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (pow.f64 x 3)))))))

simplify87.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
912×fma-neg_binary64
469×distribute-rgt-neg-in_binary64
457×associate-*l*_binary64
383×fma-def_binary64
362×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0785
11976
24976
39776
419176
553676
6186976
7343076
8545576
9727576
Stop Event
1×node limit
Counts
49 → 42
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
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)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(pow.f64 (neg.f64 x) 3)
(+.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)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(pow.f64 (neg.f64 x) 3)
(+.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)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))

localize7.0ms (0.2%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval333.0ms (8.8%)

Compiler

Compiled 3684 to 2704 computations (26.6% saved)

prune98.0ms (2.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2672269
Fresh011
Picked011
Done224
Total2696275
Error
0b
Counts
275 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.5b
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 1) x)
✓13.3b
(/.f64 x (+.f64 (*.f64 x x) 1))
▶31.8b
(*.f64 (-.f64 1 (*.f64 x x)) x)
31.0b
x
✓13.3b
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
✓31.4b
(/.f64 1 x)
Compiler

Compiled 44 to 30 computations (31.8% saved)

localize133.0ms (3.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1 (*.f64 x x))
✓0.0b
(*.f64 (-.f64 1 (*.f64 x x)) x)
Compiler

Compiled 18 to 8 computations (55.6% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
614×pow1_binary64
574×add-log-exp_binary64
573×log1p-expm1-u_binary64
573×expm1-log1p-u_binary64
562×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
112617
2159917
Stop Event
1×node limit
Counts
2 → 45
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (*.f64 x x)) x)
(-.f64 1 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) x) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) x) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))))))

simplify123.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
648×difference-of-squares_binary64
540×distribute-rgt-neg-in_binary64
536×unswap-sqr_binary64
404×associate-*l*_binary64
312×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012179
132152
270152
3162152
4462152
51899152
65238152
Stop Event
1×node limit
Counts
69 → 55
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
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)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.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)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.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)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)

localize41.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 1 (fma.f64 x x 1)))
✓0.0b
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 1) x)
0.1b
(/.f64 1 (fma.f64 x x 1))
✓3.1b
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 1)
Compiler

Compiled 43 to 31 computations (27.9% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite108.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
876×pow1_binary64
819×add-log-exp_binary64
819×log1p-expm1-u_binary64
819×expm1-log1p-u_binary64
804×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0842
117930
2255330
Stop Event
1×node limit
Counts
3 → 101
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 1) x)
(+.f64 1 (/.f64 1 (fma.f64 x x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (fma.f64 x x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 1 (fma.f64 x x 1)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 x x 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (fma.f64 x x 1)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 (fma.f64 x x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 2) (+.f64 (/.f64 1 (fma.f64 x x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (fma.f64 x x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (fma.f64 x x 1) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (fma.f64 x x 1) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 2) (+.f64 (/.f64 1 (fma.f64 x x 1)) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (fma.f64 x x 1)) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x x 1) -1/2) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 2) (+.f64 (/.f64 1 (fma.f64 x x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 2) -1) (+.f64 (/.f64 1 (fma.f64 x x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 2) -1) (-.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 2) (+.f64 (/.f64 1 (fma.f64 x x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 2) -1)) (neg.f64 (+.f64 (/.f64 1 (fma.f64 x x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (fma.f64 x x 1)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 (fma.f64 x x 1)) -1) (+.f64 (/.f64 1 (fma.f64 x x 1)) -1)) (+.f64 (/.f64 1 (fma.f64 x x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 (fma.f64 x x 1)) -1) (+.f64 (/.f64 1 (fma.f64 x x 1)) -1))) (-.f64 1 (+.f64 (/.f64 1 (fma.f64 x x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (fma.f64 x x 1) -1/2)) (hypot.f64 1 (pow.f64 (fma.f64 x x 1) -1/2)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (+.f64 (/.f64 1 (fma.f64 x x 1)) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (+.f64 (/.f64 1 (fma.f64 x x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 1 (/.f64 1 (fma.f64 x x 1)))) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1 (fma.f64 x x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 3) -1) x) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 2) (+.f64 (/.f64 1 (fma.f64 x x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 2) -1) x) (+.f64 (/.f64 1 (fma.f64 x x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 2) (+.f64 (/.f64 1 (fma.f64 x x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 2) -1)) (+.f64 (/.f64 1 (fma.f64 x x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1 (fma.f64 x x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1 (fma.f64 x x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1 (fma.f64 x x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x x 1) -1/2) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x 1) -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1 (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 cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x 1) -3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1 (fma.f64 x x 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (fma.f64 x x 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 1 (fma.f64 x x 1)))) (/.f64 (pow.f64 (fma.f64 x x 1) -2) (-.f64 1 (/.f64 1 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (fma.f64 x x 1) -1/2)) (hypot.f64 1 (pow.f64 (fma.f64 x x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (fma.f64 x x 1) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (fma.f64 x x 1) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (fma.f64 x x 1) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x x 1) -2) (/.f64 1 (fma.f64 x x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 x x 1) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x x 1) -2) (/.f64 1 (fma.f64 x x 1)))) (+.f64 1 (pow.f64 (fma.f64 x x 1) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 1 (fma.f64 x x 1))) (-.f64 1 (pow.f64 (fma.f64 x x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 x x 1) -3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 x x 1) -2) (/.f64 1 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 x x 1) -3)) (+.f64 (pow.f64 (fma.f64 x x 1) -2) (-.f64 1 (/.f64 1 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 x x 1) -2)) (-.f64 1 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x x 1) -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x x 1) -2) (/.f64 1 (fma.f64 x x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x x 1) -2))) (neg.f64 (-.f64 1 (/.f64 1 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x x 1) -2) 1) (+.f64 (/.f64 1 (fma.f64 x x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 x x 1) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (fma.f64 x x 1) -2) (/.f64 1 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 x x 1) -2)) 1) (-.f64 1 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (fma.f64 x x 1) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 1 (fma.f64 x x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 (fma.f64 x x 1) -1/2) 1)))))

simplify201.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
891×fma-def_binary64
463×sub-neg_binary64
432×associate-*l*_binary64
375×distribute-rgt-neg-in_binary64
341×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057554
1153540
2412536
31361532
46047532
Stop Event
1×node limit
Counts
137 → 143
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
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))))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) (/.f64 1 (pow.f64 x 4)))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) (/.f64 1 (pow.f64 x 4)))
Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (pow.f64 x 4)))
(+.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x 4))
(fma.f64 (*.f64 x x) (fma.f64 x x -1) 1)
(fma.f64 x (-.f64 (pow.f64 x 3) x) 1)
(+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
(fma.f64 -1 (pow.f64 x 6) (+.f64 1 (fma.f64 -1 (*.f64 x x) (pow.f64 x 4))))
(-.f64 (+.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x 4)) (pow.f64 x 6))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x x -1) 1) (pow.f64 x 6))
(-.f64 (pow.f64 x 4) (+.f64 (fma.f64 x x -1) (pow.f64 x 6)))
(+.f64 (pow.f64 x 4) (-.f64 1 (fma.f64 x x (pow.f64 x 6))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 8)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 8))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 8)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 8))))
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 3)) (pow.f64 x 5))
(+.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) (-.f64 x (pow.f64 x 7))) (pow.f64 x 3))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (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 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
(+.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 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 x) (-.f64 (/.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 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
(+.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 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 x) (-.f64 (/.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)))))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 2 (fma.f64 -1 (*.f64 x x) (pow.f64 x 4)))
(+.f64 (pow.f64 x 4) (-.f64 2 (*.f64 x x)))
(fma.f64 (*.f64 x x) (fma.f64 x x -1) 2)
(fma.f64 x (-.f64 (pow.f64 x 3) x) 2)
(+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
(fma.f64 -1 (pow.f64 x 6) (+.f64 2 (fma.f64 -1 (*.f64 x x) (pow.f64 x 4))))
(-.f64 (+.f64 (pow.f64 x 4) (-.f64 2 (*.f64 x x))) (pow.f64 x 6))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x x -1) 2) (pow.f64 x 6))
(-.f64 (fma.f64 x (-.f64 (pow.f64 x 3) x) 2) (pow.f64 x 6))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 (pow.f64 x 4))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 6))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 -1 (pow.f64 x 4))))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 (pow.f64 x 4))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 6))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 -1 (pow.f64 x 4))))

eval132.0ms (3.5%)

Compiler

Compiled 3549 to 2583 computations (27.2% saved)

prune34.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2321233
Fresh101
Picked011
Done044
Total2336239
Error
0b
Counts
239 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓29.5b
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 1) x)
✓13.3b
(/.f64 x (+.f64 (*.f64 x x) 1))
31.0b
x
✓31.8b
(*.f64 (-.f64 1 (*.f64 x x)) x)
✓13.3b
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
✓31.4b
(/.f64 1 x)
Compiler

Compiled 44 to 30 computations (31.8% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓29.5b
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 1) x)
✓13.3b
(/.f64 x (+.f64 (*.f64 x x) 1))
31.0b
x
✓31.8b
(*.f64 (-.f64 1 (*.f64 x x)) x)
✓13.3b
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
✓31.4b
(/.f64 1 x)
Compiler

Compiled 44 to 30 computations (31.8% saved)

regimes22.0ms (0.6%)

Counts
9 → 1
Calls
Call 1
Inputs
x
x
(/.f64 1 x)
(*.f64 (-.f64 1 (*.f64 x x)) x)
(/.f64 x (+.f64 (*.f64 x x) 1))
(-.f64 x (pow.f64 x 3))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 1) x)
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
Outputs
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
Calls

2 calls:

13.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))
6.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 66 to 41 computations (37.9% saved)

regimes31.0ms (0.8%)

Counts
8 → 3
Calls
Call 1
Inputs
x
x
(/.f64 1 x)
(*.f64 (-.f64 1 (*.f64 x x)) x)
(/.f64 x (+.f64 (*.f64 x x) 1))
(-.f64 x (pow.f64 x 3))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 1) x)
Outputs
(/.f64 1 x)
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(/.f64 1 x)
Calls

2 calls:

15.0ms
x
14.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))
Results
ErrorSegmentsBranch
0.0b3x
0.1b3(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 55 to 33 computations (40% saved)

bsearch163.0ms (4.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
147.0ms
9.346374982514411e-7
17085766139.892492
16.0ms
-352929180640312.3
-3957232401.0070257
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes30.0ms (0.8%)

Counts
6 → 3
Calls
Call 1
Inputs
x
x
(/.f64 1 x)
(*.f64 (-.f64 1 (*.f64 x x)) x)
(/.f64 x (+.f64 (*.f64 x x) 1))
(-.f64 x (pow.f64 x 3))
Outputs
(/.f64 1 x)
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 1 x)
Calls

2 calls:

14.0ms
x
14.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))
Results
ErrorSegmentsBranch
0.0b3x
0.1b3(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 19 computations (45.7% saved)

bsearch32.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
9.346374982514411e-7
17085766139.892492
16.0ms
-3957232401.0070257
-3764496675.277617
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes14.0ms (0.4%)

Counts
4 → 3
Calls
Call 1
Inputs
x
x
(/.f64 1 x)
(*.f64 (-.f64 1 (*.f64 x x)) x)
Outputs
(/.f64 1 x)
(*.f64 (-.f64 1 (*.f64 x x)) x)
(/.f64 1 x)
Calls

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 15 to 8 computations (46.7% saved)

bsearch33.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
9.346374982514411e-7
17085766139.892492
17.0ms
-1.1429382063088882
-0.050911373029014544
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes12.0ms (0.3%)

Counts
3 → 3
Calls
Call 1
Inputs
x
x
(/.f64 1 x)
Outputs
(/.f64 1 x)
x
(/.f64 1 x)
Calls

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 8 to 4 computations (50% saved)

bsearch33.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
9.346374982514411e-7
17085766139.892492
18.0ms
-1.1429382063088882
-0.050911373029014544
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
31.0b1x
Compiler

Compiled 5 to 2 computations (60% saved)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
033129
144129
251129
355129
457129
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(if (<=.f64 x -5646866890244997/16) (/.f64 1 x) (if (<=.f64 x 2206850397687871/2361183241434822606848) (*.f64 (/.f64 1 (fma.f64 x x 1)) x) (/.f64 1 x)))
(if (<=.f64 x -16996183744996732928/4294967296) (/.f64 1 x) (if (<=.f64 x 2206850397687871/2361183241434822606848) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -1286834020010053/1125899906842624) (/.f64 1 x) (if (<=.f64 x 2206850397687871/2361183241434822606848) (*.f64 (-.f64 1 (*.f64 x x)) x) (/.f64 1 x)))
(if (<=.f64 x -1286834020010053/1125899906842624) (/.f64 1 x) (if (<=.f64 x 2206850397687871/2361183241434822606848) x (/.f64 1 x)))
x
Outputs
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(if (<=.f64 x -5646866890244997/16) (/.f64 1 x) (if (<=.f64 x 2206850397687871/2361183241434822606848) (*.f64 (/.f64 1 (fma.f64 x x 1)) x) (/.f64 1 x)))
(if (<=.f64 x -5646866890244997/16) (/.f64 1 x) (if (<=.f64 x 2206850397687871/2361183241434822606848) (*.f64 x (/.f64 1 (fma.f64 x x 1))) (/.f64 1 x)))
(if (<=.f64 x -16996183744996732928/4294967296) (/.f64 1 x) (if (<=.f64 x 2206850397687871/2361183241434822606848) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -4149458922118343/1048576) (/.f64 1 x) (if (<=.f64 x 2206850397687871/2361183241434822606848) (/.f64 x (+.f64 1 (*.f64 x x))) (/.f64 1 x)))
(if (<=.f64 x -1286834020010053/1125899906842624) (/.f64 1 x) (if (<=.f64 x 2206850397687871/2361183241434822606848) (*.f64 (-.f64 1 (*.f64 x x)) x) (/.f64 1 x)))
(if (<=.f64 x -1286834020010053/1125899906842624) (/.f64 1 x) (if (<=.f64 x 2206850397687871/2361183241434822606848) (*.f64 x (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(if (<=.f64 x -1286834020010053/1125899906842624) (/.f64 1 x) (if (<=.f64 x 2206850397687871/2361183241434822606848) x (/.f64 1 x)))
x
Compiler

Compiled 97 to 67 computations (30.9% saved)

soundness0.0ms (0%)

end58.0ms (1.5%)

Compiler

Compiled 92 to 61 computations (33.7% saved)

Profiling

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