Details

Time bar (total: 1.3s)

analyze4.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
62.5%37.5%0%4
81.2%18.7%0%5
90.6%9.4%0%6
95.3%4.7%0%7
97.6%2.3%0%8
98.8%1.2%0%9
99.4%0.6%0%10
99.7%0.3%0%11
99.8%0.1%0%12
99.9%0.1%0%13
99.9%0%0%14
Compiler

Compiled 7 to 5 computations (28.6% saved)

sample642.0ms (51.1%)

Results
630.0ms8256×body128valid
Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess17.0ms (1.4%)

Algorithm
2×egg-herbie
Rules
11×sub-neg_binary64
7×+-commutative_binary64
6×fma-def_binary64
4×div-sub_binary64
3×associate-+l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
197
2137
3197
4277
5377
6507
7687
8807
9837
10847
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 x (-.f64 1 x))
Outputs
(/.f64 x (-.f64 1 x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
11×sub-neg_binary64
7×+-commutative_binary64
6×fma-def_binary64
4×div-sub_binary64
3×associate-+l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
197
2137
3197
4277
5377
6507
7687
8807
9837
10847
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
Outputs
(/.f64 x (-.f64 1 x))

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 x (-.f64 1 x))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite37.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
607×pow1_binary64
568×add-log-exp_binary64
568×log1p-expm1-u_binary64
568×expm1-log1p-u_binary64
55×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11087
214707
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2) (cbrt.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 x (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))))))

simplify24.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
535×associate-*l*_binary64
399×associate-*r*_binary64
348×fma-def_binary64
229×associate-/r*_binary64
192×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027150
176132
2220125
3596125
41773125
Stop Event
1×node limit
Counts
46 → 48
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) x)
(+.f64 x (*.f64 x (fma.f64 x x x)))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 1 (*.f64 x x)))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(-.f64 (-.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 1 (*.f64 x x)))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(-.f64 (-.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))))

prune34.0ms (2.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New44448
Fresh000
Picked011
Done000
Total44549
Error
0b
Counts
49 → 5
Alt Table
StatusErrorProgram
27.1b
-1
✓0.0b
(/.f64 x (-.f64 1 x))
▶0.1b
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
16.3b
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
16.2b
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
Compiler

Compiled 548 to 384 computations (29.9% saved)

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

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

rewrite42.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
785×pow1_binary64
738×log1p-expm1-u_binary64
738×expm1-log1p-u_binary64
75×add-sqr-sqrt_binary64
70×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
115214
2199714
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(/.f64 (-.f64 1 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2) (cbrt.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) -1) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) -1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (-.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) -1)))))))

simplify26.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
547×associate-*l*_binary64
417×associate-*r*_binary64
350×fma-def_binary64
229×associate-/r*_binary64
192×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028219
178201
2223194
3599194
41789194
Stop Event
1×node limit
Counts
104 → 96
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
-1
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
-1
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (*.f64 x (fma.f64 x x x)))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 x) (+.f64 -1 (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 -1 (+.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (*.f64 x x))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 x) (+.f64 -1 (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 -1 (+.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (*.f64 x x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))

prune56.0ms (4.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New95196
Fresh123
Picked101
Done011
Total974101
Error
0b
Counts
101 → 4
Alt Table
StatusErrorProgram
27.1b
-1
✓0.0b
(/.f64 x (-.f64 1 x))
16.3b
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
▶0.1b
(pow.f64 (-.f64 (/.f64 1 x) 1) -1)
Compiler

Compiled 1086 to 825 computations (24% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite35.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
668×pow1_binary64
628×add-log-exp_binary64
625×log1p-expm1-u_binary64
625×expm1-log1p-u_binary64
73×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115010
2181110
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(pow.f64 (-.f64 (/.f64 1 x) 1) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -2)) (cbrt.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -1/2) (pow.f64 (+.f64 (/.f64 1 x) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) -1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x -3) -1)) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x -2) -1)) (+.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -1/2) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1))))))))

simplify20.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
535×associate-*l*_binary64
399×associate-*r*_binary64
348×fma-def_binary64
229×associate-/r*_binary64
192×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027150
176132
2220125
3596125
41773125
Stop Event
1×node limit
Counts
34 → 36
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) x)
(+.f64 x (*.f64 x (fma.f64 x x x)))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 1 (*.f64 x x)))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(-.f64 (-.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 1 (*.f64 x x)))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(-.f64 (-.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))))

prune23.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New36036
Fresh022
Picked011
Done011
Total36440
Error
0b
Counts
40 → 4
Alt Table
StatusErrorProgram
27.1b
-1
✓0.0b
(/.f64 x (-.f64 1 x))
▶16.3b
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
✓0.1b
(pow.f64 (-.f64 (/.f64 1 x) 1) -1)
Compiler

Compiled 424 to 341 computations (19.6% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
✓15.7b
(/.f64 x (-.f64 1 (*.f64 x x)))

series3.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

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

rewrite56.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
677×prod-diff_binary64
298×fma-def_binary64
166×fma-neg_binary64
156×log1p-udef_binary64
155×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0826
118717
2280117
Stop Event
1×node limit
Counts
2 → 123
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) 2) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))))) (#(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 pow.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(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 (exp.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.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 cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))))) (#(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 exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) 1))))) (#(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 expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))) 1) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (/.f64 (-.f64 1 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x x)) (neg.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (+.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x x -1)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (fma.f64 x x -1)) (*.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (*.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) x) (*.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 (-.f64 1 (*.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (/.f64 (-.f64 1 (*.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (-.f64 (fma.f64 x x 1) x) (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (neg.f64 x)) (*.f64 (+.f64 x -1) (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))) 3) (pow.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 3)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))) (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))) (-.f64 (pow.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 2) (*.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 1 (*.f64 x x)))))))))) (#(struct:change 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (-.f64 1 (*.f64 x x))) (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) 2)) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) (sqrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (/.f64 x (-.f64 1 (*.f64 x x))))))))

simplify35.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
623×fma-neg_binary64
570×fma-def_binary64
395×sub-neg_binary64
279×cancel-sign-sub-inv_binary64
217×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045342
1132312
2399303
31151303
43233303
Stop Event
1×node limit
Counts
147 → 150
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 3) x)
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
Outputs
x
(+.f64 (pow.f64 x 3) x)
(+.f64 x (pow.f64 x 3))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5)))
(fma.f64 (fma.f64 x x 1) x (pow.f64 x 5))
(fma.f64 x (fma.f64 x x 1) (pow.f64 x 5))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 3) x)))
(+.f64 (pow.f64 x 5) (+.f64 (+.f64 (pow.f64 x 7) (pow.f64 x 3)) x))
(+.f64 (+.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (pow.f64 x 7)))
(+.f64 (pow.f64 x 5) (fma.f64 (fma.f64 x x 1) x (pow.f64 x 7)))
(fma.f64 x (fma.f64 x x 1) (+.f64 (pow.f64 x 5) (pow.f64 x 7)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 -1 (pow.f64 x 5)))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 5)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
(-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 -1 (pow.f64 x 7)) (/.f64 -1 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 -1 (pow.f64 x 5)))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 5)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
(-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 -1 (pow.f64 x 7)) (/.f64 -1 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x))
(+.f64 x (*.f64 x (fma.f64 x x x)))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (+.f64 (*.f64 x x) (pow.f64 x 4)) (+.f64 x (pow.f64 x 3)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 -1 x) (+.f64 -1 (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 -1 (*.f64 x x))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 -1 x) (+.f64 -1 (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 -1 (*.f64 x x))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))))

prune89.0ms (7.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1500150
Fresh011
Picked011
Done022
Total1504154
Error
0b
Counts
154 → 4
Alt Table
StatusErrorProgram
27.1b
-1
✓0.0b
(/.f64 x (-.f64 1 x))
✓16.3b
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
✓0.1b
(pow.f64 (-.f64 (/.f64 1 x) 1) -1)
Compiler

Compiled 2670 to 1512 computations (43.4% saved)

regimes25.0ms (2%)

Accuracy

Total 0.0b remaining (87.3%)

Threshold costs 0.0b (87.3%)

Counts
19 → 1
Compiler

Compiled 150 to 102 computations (32% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
057
197
2137
3157
4167
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
Outputs
(/.f64 x (-.f64 1 x))

end54.0ms (4.3%)

Stop Event
1×fuel
Compiler

Compiled 40 to 29 computations (27.5% saved)

Profiling

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