Details

Time bar (total: 7.1s)

analyze0.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%0%50%2
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.7s (23.4%)

Results
748.0ms2352×body1024valid
657.0ms4904×body256valid
248.0ms1000×body512valid

preprocess19.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11417
22017
32817
43817
55617
69317
712717
817417
921017
1023617
1123817
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Outputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify11.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11417
22017
32817
43817
55617
69317
712717
817417
921017
1023617
1123817
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Outputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))

eval1.0ms (0%)

Compiler

Compiled 23 to 18 computations (21.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
20.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶20.0b
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize7.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.2b
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
0.2b
(/.f64 1 (sqrt.f64 x))
0.1b
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.0b
(sqrt.f64 (+.f64 x 1))
✓0.1b
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓0.2b
(/.f64 1 (sqrt.f64 x))
✓3.2b
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

series16.0ms (0.2%)

Counts
4 → 8
Calls

12 calls:

TimeVariablePointExpression
7.0ms
x
@0
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
2.0ms
x
@inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
2.0ms
x
@-inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms
x
@inf
(sqrt.f64 (+.f64 x 1))
1.0ms
x
@-inf
(/.f64 1 (sqrt.f64 x))

rewrite115.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
776×prod-diff_binary64
445×log-prod_binary64
351×fma-def_binary64
252×pow2_binary64
205×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0938
120730
2296530
Stop Event
1×node limit
Counts
4 → 229
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/6) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/4) (pow.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/6) (cbrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/4) (pow.f64 (+.f64 1 x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 x)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))))))

simplify129.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1216×fma-def_binary64
775×sqr-pow_binary64
606×cube-prod_binary64
478×fabs-mul_binary64
391×pow-sqr_binary64
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
03080
17576
218074
354362
4135458
5238658
6290858
7304158
8319558
9338758
10364056
11429156
12469856
13522556
14588756
15671156
16711256
17747456
18781456
Stop Event
1×node limit
Counts
237 → 242
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 3/8 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 x) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
Outputs
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 3/8 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/2 x 1) (*.f64 3/8 (*.f64 x x)))
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) 1))
(fma.f64 -1/2 x (fma.f64 x (*.f64 x 3/8) 1))
(fma.f64 x (fma.f64 x 3/8 -1/2) 1)
(+.f64 (*.f64 -1/2 x) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/2 x 1) (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(+.f64 (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))) (fma.f64 -1/2 x 1))
(fma.f64 -1/2 x (fma.f64 x (*.f64 x 3/8) (fma.f64 -5/16 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x 3/8 -1/2) (fma.f64 -5/16 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 x 1/2 1))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x -1/8) 1))
(fma.f64 x (fma.f64 x -1/8 1/2) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 (pow.f64 x 3) 1/16)))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/16 1)))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x -1/8) (fma.f64 (pow.f64 x 3) 1/16 1)))
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8) 1))
(fma.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1)

eval125.0ms (1.8%)

Compiler

Compiled 4484 to 3575 computations (20.3% saved)

prune80.0ms (1.1%)

Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New21329242
Fresh000
Picked101
Done000
Total21429243
Error
19.4b
Counts
243 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
28.2b
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (*.f64 x (+.f64 1 x)) -1/2))) (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2))))
▶32.1b
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
22.9b
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
30.0b
(fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/4)) (pow.f64 (+.f64 1 x) -1/4) (pow.f64 x -1/2))
24.8b
(/.f64 (-.f64 (/.f64 1 x) (pow.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 2)) (-.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))))
▶19.9b
(+.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
30.4b
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
20.0b
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
26.7b
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -3/2))
24.8b
(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
28.3b
(/.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)) (+.f64 (/.f64 1 x) (-.f64 (pow.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 2) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))))))
26.5b
(-.f64 (pow.f64 (pow.f64 x -1/4) 2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
20.0b
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (*.f64 (sqrt.f64 x) -1)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
27.1b
(-.f64 (pow.f64 (cbrt.f64 x) -3/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
▶20.4b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
22.7b
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
28.2b
(/.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (*.f64 x (+.f64 1 x)) -1/2))))
38.7b
(-.f64 (cbrt.f64 (pow.f64 x -3/2)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
20.0b
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
22.7b
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
22.6b
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
20.4b
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
31.6b
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
▶31.7b
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/6) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
▶24.7b
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
20.2b
(*.f64 (+.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4)) (-.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4)))
30.1b
(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (*.f64 -1/2 (log1p.f64 x))))
30.9b
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
30.0b
(-.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) -3/2)))
Compiler

Compiled 926 to 750 computations (19% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.2b
(+.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
✓3.2b
(+.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))

series21.0ms (0.3%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
19.0ms
x
@-inf
(+.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
1.0ms
x
@0
(+.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
1.0ms
x
@inf
(+.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))

rewrite53.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
926×pow1_binary64
868×add-log-exp_binary64
867×log1p-expm1-u_binary64
867×expm1-log1p-u_binary64
103×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
120513
2284513
Stop Event
1×node limit
Counts
1 → 40
Calls
Call 1
Inputs
(+.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -1) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (/.f64 (pow.f64 (+.f64 x 1) -1) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x -1/2) 0) (pow.f64 (+.f64 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (cbrt.f64 (+.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1))) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (pow.f64 (+.f64 x 1) -1/2) 3)) (/.f64 1 (+.f64 (pow.f64 x -1) (*.f64 (pow.f64 (+.f64 x 1) -1/2) (-.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)) (-.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -1) (*.f64 (pow.f64 (+.f64 x 1) -1/2) (-.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2)))) (+.f64 (pow.f64 x -3/2) (pow.f64 (pow.f64 (+.f64 x 1) -1/2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (+.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (pow.f64 (+.f64 x 1) -1/2) 3)) (+.f64 (pow.f64 x -1) (*.f64 (pow.f64 (+.f64 x 1) -1/2) (-.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (pow.f64 (+.f64 x 1) -1/2) 3)) (+.f64 (pow.f64 (+.f64 x 1) -1) (-.f64 (pow.f64 x -1) (*.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (pow.f64 (+.f64 x 1) -1/2) 3))) (neg.f64 (+.f64 (pow.f64 x -1) (*.f64 (pow.f64 (+.f64 x 1) -1/2) (-.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1))) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (pow.f64 (+.f64 x 1) -1/2) 3)) (+.f64 (pow.f64 x -1) (*.f64 (pow.f64 (+.f64 x 1) -1/2) (-.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)) (-.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1)) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (+.f64 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/2))))))

simplify46.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
722×fma-def_binary64
583×times-frac_binary64
550×distribute-rgt-out_binary64
374×unswap-sqr_binary64
341×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
070433
1184421
2462333
31330281
45884260
Stop Event
1×node limit
Counts
52 → 63
Calls
Call 1
Inputs
(-.f64 (pow.f64 x -1/2) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (*.f64 -3/8 (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2))))) 1)
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))
(+.f64 (*.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (*.f64 -35/128 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (*.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))))
Outputs
(-.f64 (pow.f64 x -1/2) 1)
(+.f64 (pow.f64 x -1/2) -1)
(+.f64 -1 (pow.f64 x -1/2))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) -1)
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) -1)
(+.f64 (pow.f64 x -1/2) (fma.f64 x 1/2 -1))
(fma.f64 x 1/2 (+.f64 (pow.f64 x -1/2) -1))
(fma.f64 x 1/2 (+.f64 -1 (pow.f64 x -1/2)))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (*.f64 -3/8 (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) (*.f64 -3/8 (*.f64 x x))) -1)
(+.f64 (fma.f64 x 1/2 (fma.f64 -3/8 (*.f64 x x) (pow.f64 x -1/2))) -1)
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) (fma.f64 x (*.f64 x -3/8) -1))
(fma.f64 x (fma.f64 x -3/8 1/2) (+.f64 (pow.f64 x -1/2) -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (fma.f64 x -3/8 1/2) -1))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) (fma.f64 5/16 (pow.f64 x 3) (*.f64 -3/8 (*.f64 x x)))) -1)
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) (+.f64 (fma.f64 -3/8 (*.f64 x x) (*.f64 5/16 (pow.f64 x 3))) -1))
(+.f64 (fma.f64 x (*.f64 x -3/8) (fma.f64 5/16 (pow.f64 x 3) (pow.f64 x -1/2))) (fma.f64 x 1/2 -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 (*.f64 x x) (fma.f64 x 5/16 -3/8) (fma.f64 x 1/2 -1)))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 5/16 -3/8))) -1))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))))))
(*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))
(*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) x))
(/.f64 1/2 (/.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) (/.f64 x (pow.f64 -1 -1/2))))
(*.f64 1/2 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) -1/2) x))
(/.f64 1/2 (/.f64 x (pow.f64 x -1/2)))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))
(fma.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) x) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 x x))))
(fma.f64 -3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (/.f64 1/2 (/.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) (/.f64 x (pow.f64 -1 -1/2))) (+.f64 1/2 (/.f64 -3/8 x)))
(*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
(+.f64 (*.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(fma.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) x) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 x x)))))
(fma.f64 5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 -3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (/.f64 1/2 (/.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) (/.f64 x (pow.f64 -1 -1/2))) (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) x) (/.f64 (pow.f64 -1 -1/2) x)) (+.f64 -3/8 (/.f64 5/16 x))))
(*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x)))))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x)))))
(+.f64 (*.f64 -35/128 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (*.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))))
(fma.f64 -35/128 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (pow.f64 x 4)) (fma.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) x) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 x x))))))
(fma.f64 -35/128 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (fma.f64 5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 -3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (/.f64 1/2 (/.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))))
(+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) (/.f64 x (pow.f64 -1 -1/2))) (+.f64 1/2 (/.f64 -3/8 x))) (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) x) (/.f64 (pow.f64 -1 -1/2) x)) (+.f64 (/.f64 5/16 x) (/.f64 -35/128 (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)) (*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) -1/2) (pow.f64 x 3)) (+.f64 5/16 (/.f64 -35/128 x))))
(fma.f64 1/2 (/.f64 (pow.f64 x -1/2) x) (*.f64 (/.f64 1 (pow.f64 x 5/2)) (+.f64 (/.f64 5/16 x) (+.f64 -3/8 (/.f64 -35/128 (*.f64 x x))))))

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (sqrt.f64 x))
0.2b
(/.f64 1 (sqrt.f64 x))

rewrite0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize25.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.1b
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
0.5b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
0.0b
(/.f64 1 (+.f64 1 x))
0.0b
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
✓0.0b
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
✓0.0b
(/.f64 1 (+.f64 1 x))
✓0.5b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
✓3.1b
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))

series9.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms
x
@inf
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms
x
@-inf
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms
x
@0
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
1.0ms
x
@-inf
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))

rewrite133.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
679×log-prod_binary64
654×fma-def_binary64
347×fma-neg_binary64
268×log-div_binary64
243×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01261
129646
2461346
Stop Event
1×node limit
Counts
4 → 363
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 1 (+.f64 1 x))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
Outputs
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x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 -1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (/.f64 1 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (/.f64 1 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -1 (+.f64 1 x))) (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 (/.f64 1 (+.f64 1 x)))) (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -1 (+.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 (/.f64 1 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) 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simplify98.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
734×sub-neg_binary64
635×fma-def_binary64
625×fma-neg_binary64
448×associate-+l+_binary64
324×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01891796
15981716
217831560
367741493
Stop Event
1×node limit
Counts
411 → 436
Calls
Call 1
Inputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)) (+.f64 (*.f64 3/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (pow.f64 x -1/2) 1))))) x) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (*.f64 (-.f64 (*.f64 5/16 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1))) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 3/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))))) (+.f64 (pow.f64 x -1/2) 1))) (+.f64 (*.f64 3/8 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (pow.f64 x -1/2) 1))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)) (+.f64 (*.f64 3/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (pow.f64 x -1/2) 1))))) x) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))))))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 x)) (*.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 4))) (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))
(-.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 3/16 (/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 x)) (*.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 5))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/2 (sqrt.f64 x)) (+.f64 (*.f64 3/32 (sqrt.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/2 (sqrt.f64 x)) (*.f64 -1/8 (sqrt.f64 x)))))) (pow.f64 x 5))) (+.f64 (*.f64 -5/64 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 x)) (*.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 4))) (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))))))
(/.f64 1/2 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (*.f64 5/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (*.f64 5/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))))) (+.f64 (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))) (*.f64 35/128 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 5))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (pow.f64 x -1/2))
(+.f64 (*.f64 -1/2 x) (+.f64 (pow.f64 x -1/2) 1))
(+.f64 (*.f64 -1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 3/8 (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))))
(*.f64 2 (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))))
(*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 -5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
Outputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (-.f64 x 1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (/.f64 1 x))) -1)
(+.f64 -1 (-.f64 (+.f64 x (/.f64 1 x)) (*.f64 x x)))
(-.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x 1))
(+.f64 (/.f64 1 x) (fma.f64 (-.f64 1 x) x -1))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)))
(+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (-.f64 (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))
(+.f64 (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))))
(+.f64 (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)) (+.f64 (*.f64 3/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (pow.f64 x -1/2) 1))))) x) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)))
(+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) x (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))
(+.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (-.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))
(+.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1/2 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 -1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 3/8 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))))
(+.f64 (fma.f64 x (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 1/2 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 -1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 -3/8 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (*.f64 (-.f64 (*.f64 5/16 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1))) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 3/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))))) (+.f64 (pow.f64 x -1/2) 1))) (+.f64 (*.f64 3/8 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (pow.f64 x -1/2) 1))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)) (+.f64 (*.f64 3/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (pow.f64 x -1/2) 1))))) x) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))))))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)))
(+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (-.f64 (fma.f64 (-.f64 (/.f64 5/16 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) (+.f64 1 (pow.f64 x -1/2))) (fma.f64 3/8 (/.f64 (-.f64 (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))) (*.f64 x x) (fma.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) x (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))
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(+.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (*.f64 (pow.f64 -1 -1/2) (*.f64 x x)))) (/.f64 5/16 (*.f64 (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 -1 x) 1/2)) (pow.f64 -1 -1/2)))) (-.f64 (/.f64 -3/8 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)))) (/.f64 (/.f64 35/128 (pow.f64 x 5)) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (*.f64 x x)) (fma.f64 5/16 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (pow.f64 x 4)) (fma.f64 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (pow.f64 x 5)) -35/128 (/.f64 -3/8 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 x x) x))
(fma.f64 x x (-.f64 1 x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3))
(-.f64 (fma.f64 x x (-.f64 1 x)) (pow.f64 x 3))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 1 (pow.f64 x -1/2))
(+.f64 (*.f64 -1/2 x) (+.f64 (pow.f64 x -1/2) 1))
(fma.f64 -1/2 x (+.f64 1 (pow.f64 x -1/2)))
(+.f64 1 (fma.f64 x -1/2 (pow.f64 x -1/2)))
(+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 3/8 (pow.f64 x 2)))))
(fma.f64 -1/2 x (+.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 (*.f64 x x) 3/8))))
(+.f64 (fma.f64 (*.f64 x x) 3/8 1) (fma.f64 x -1/2 (pow.f64 x -1/2)))
(+.f64 (fma.f64 x (*.f64 x 3/8) 1) (fma.f64 x -1/2 (pow.f64 x -1/2)))
(+.f64 (*.f64 -1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))))
(fma.f64 -1/2 x (+.f64 (pow.f64 x -1/2) (+.f64 1 (fma.f64 3/8 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/16)))))
(+.f64 (+.f64 1 (fma.f64 x -1/2 (pow.f64 x -1/2))) (fma.f64 (*.f64 x x) 3/8 (*.f64 (pow.f64 x 3) -5/16)))
(+.f64 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 3/8) 1)) (fma.f64 (pow.f64 x 3) -5/16 (pow.f64 x -1/2)))
(*.f64 2 (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(fma.f64 2 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 2 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(fma.f64 2 (sqrt.f64 (/.f64 1 x)) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -5/16 (fma.f64 2 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 2 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -5/16))))
(*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(*.f64 2 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)))
(*.f64 2 (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2))
(+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(fma.f64 2 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))
(fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))
(fma.f64 2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) (*.f64 (/.f64 -1/2 x) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2))))
(fma.f64 2 (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2) (*.f64 (/.f64 -1/2 x) (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2)))
(+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (fma.f64 2 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))))
(fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x))))
(fma.f64 2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) x) (+.f64 -1/2 (/.f64 3/8 x))))
(fma.f64 2 (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2) (*.f64 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2) x) (+.f64 -1/2 (/.f64 3/8 x))))
(+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 -5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
(fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (fma.f64 -5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (fma.f64 2 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))))
(fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 -5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))))
(fma.f64 -5/16 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) (pow.f64 x 3)) (fma.f64 2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) x) (+.f64 -1/2 (/.f64 3/8 x)))))
(fma.f64 -5/16 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2) (pow.f64 x 3)) (fma.f64 2 (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2) (*.f64 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2) x) (+.f64 -1/2 (/.f64 3/8 x)))))

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
15.3b
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
0.3b
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)
0.2b
(/.f64 1 (sqrt.f64 x))
0.0b
(pow.f64 (+.f64 1 x) 1/4)
✓0.0b
(pow.f64 (+.f64 1 x) 1/4)
0.2b
(/.f64 1 (sqrt.f64 x))
✓0.3b
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)
✓15.3b
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))

series10.0ms (0.1%)

Counts
3 → 26
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
2.0ms
x
@inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
1.0ms
x
@0
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
1.0ms
x
@inf
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)
1.0ms
x
@-inf
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)

rewrite129.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
605×prod-diff_binary64
478×log-prod_binary64
309×fma-def_binary64
296×pow2_binary64
208×pow-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01129
125427
2317527
Stop Event
1×node limit
Counts
3 → 157
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)
(pow.f64 (+.f64 1 x) 1/4)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/12) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/8) (pow.f64 (+.f64 1 x) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (+.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 1))))))

simplify52.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
622×times-frac_binary64
601×fma-def_binary64
430×unswap-sqr_binary64
421×associate-*l*_binary64
385×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0132908
1380872
21213738
35094557
Stop Event
1×node limit
Counts
183 → 204
Calls
Call 1
Inputs
(*.f64 -1 (sqrt.f64 (/.f64 1 x)))
(/.f64 -1 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 3/8 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 x) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(sqrt.f64 (/.f64 1 x))
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (+.f64 (*.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (*.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4))))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (*.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4)))) (+.f64 (*.f64 3/128 (pow.f64 (/.f64 1 x) 1/4)) (*.f64 7/128 (pow.f64 (/.f64 1 x) 1/4)))))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (+.f64 (*.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (*.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4))))) (+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (+.f64 (*.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (*.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4))))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))))
(/.f64 1 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
(-.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 3/8 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 3/8 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))))) (+.f64 (*.f64 5/16 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)))))
1
(+.f64 1 (*.f64 1/4 x))
(+.f64 1 (+.f64 (*.f64 -3/32 (pow.f64 x 2)) (*.f64 1/4 x)))
(+.f64 1 (+.f64 (*.f64 7/128 (pow.f64 x 3)) (+.f64 (*.f64 -3/32 (pow.f64 x 2)) (*.f64 1/4 x))))
(pow.f64 x 1/4)
(+.f64 (pow.f64 x 1/4) (*.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)))
(+.f64 (pow.f64 x 1/4) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)) (*.f64 -3/32 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4))))
(+.f64 (*.f64 7/128 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/4)) (+.f64 (pow.f64 x 1/4) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)) (*.f64 -3/32 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/4 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/4 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/32 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 7/128 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 1/4 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/32 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))))
Outputs
(*.f64 -1 (sqrt.f64 (/.f64 1 x)))
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(/.f64 -1 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
(/.f64 -1 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))
(/.f64 -1 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))
(/.f64 -1 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)) 2))
(/.f64 -1 (sqrt.f64 (exp.f64 (log.f64 x))))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 3/8 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/2 x 1) (*.f64 3/8 (*.f64 x x)))
(fma.f64 x -1/2 (fma.f64 3/8 (*.f64 x x) 1))
(fma.f64 x -1/2 (fma.f64 x (*.f64 x 3/8) 1))
(+.f64 (*.f64 -1/2 x) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/2 x 1) (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(+.f64 (fma.f64 x -1/2 (fma.f64 3/8 (*.f64 x x) 1)) (*.f64 -5/16 (pow.f64 x 3)))
(fma.f64 x -1/2 (fma.f64 x (*.f64 x 3/8) (fma.f64 -5/16 (pow.f64 x 3) 1)))
(sqrt.f64 (/.f64 1 x))
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (+.f64 (*.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (*.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4))))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (*.f64 (pow.f64 (/.f64 1 x) 1/4) -5/32)) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (*.f64 (pow.f64 (/.f64 1 x) 1/4) -5/32)) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))))
(fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (*.f64 (pow.f64 (/.f64 1 x) 1/4) 5/16) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (*.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4)))) (+.f64 (*.f64 3/128 (pow.f64 (/.f64 1 x) 1/4)) (*.f64 7/128 (pow.f64 (/.f64 1 x) 1/4)))))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (+.f64 (*.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (*.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4))))) (+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (+.f64 (*.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (*.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4))))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))))
(fma.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 x) 1/4) -5/32) (*.f64 (pow.f64 (/.f64 1 x) 1/4) 5/64))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (*.f64 (pow.f64 (/.f64 1 x) 1/4) -5/32)) (+.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/4) -5/32) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))))
(fma.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (fma.f64 (pow.f64 (/.f64 1 x) 1/4) 5/64 (*.f64 (pow.f64 (/.f64 1 x) 1/4) 5/128))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (fma.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (*.f64 (pow.f64 (/.f64 1 x) 1/4) -5/32)) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/4) -5/32) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) 1/2)))))
(fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (*.f64 (pow.f64 (/.f64 1 x) 1/4) 15/128)) (fma.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (*.f64 (pow.f64 (/.f64 1 x) 1/4) 5/16) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (*.f64 (pow.f64 (/.f64 1 x) 1/4) -5/64) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (*.f64 (pow.f64 (/.f64 1 x) 1/4) 5/16) (sqrt.f64 (/.f64 1 x)))) (*.f64 (*.f64 -2 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4)) (+.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/4) 5/128) (*.f64 (pow.f64 (/.f64 1 x) 1/4) 15/128)))))
(/.f64 1 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))
(exp.f64 (neg.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/2)))
(exp.f64 (*.f64 (log.f64 x) -1/2))
(-.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x))))
(-.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)) (/.f64 1/2 (*.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))))
(-.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)) (/.f64 (/.f64 1/2 x) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)))
(+.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/2))) (/.f64 (/.f64 -1/2 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)) 2)) x))
(fma.f64 -1/2 (/.f64 (exp.f64 (*.f64 (log.f64 x) -1/2)) x) (exp.f64 (*.f64 (log.f64 x) -1/2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 3/8 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x))))
(+.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)) (-.f64 (/.f64 3/8 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x))) (/.f64 1/2 (*.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)))))
(+.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)) (-.f64 (/.f64 3/8 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 x x))) (/.f64 (/.f64 1/2 x) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))))
(+.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/2))) (+.f64 (/.f64 3/8 (*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)) 2) (*.f64 x x))) (/.f64 (/.f64 -1/2 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)) 2)) x)))
(+.f64 (exp.f64 (*.f64 (log.f64 x) -1/2)) (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 x) -1/2)) x) (-.f64 (/.f64 3/8 x) 1/2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 3/8 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))))) (+.f64 (*.f64 5/16 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)))))
(+.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)) (-.f64 (/.f64 3/8 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x))) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))) (/.f64 5/16 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (pow.f64 x 3))))))
(+.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)) (-.f64 (-.f64 (/.f64 3/8 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 x x))) (/.f64 (/.f64 1/2 x) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))) (/.f64 5/16 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (pow.f64 x 3)))))
(+.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/2))) (+.f64 (/.f64 3/8 (*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)) 2) (*.f64 x x))) (+.f64 (/.f64 (/.f64 -1/2 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)) 2)) x) (/.f64 -5/16 (*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)) 2) (pow.f64 x 3))))))
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 x) -1/2)) (*.f64 x x)) (-.f64 3/8 (/.f64 5/16 x))) (fma.f64 -1/2 (/.f64 (exp.f64 (*.f64 (log.f64 x) -1/2)) x) (exp.f64 (*.f64 (log.f64 x) -1/2))))
1
(+.f64 1 (*.f64 1/4 x))
(+.f64 1 (*.f64 x 1/4))
(fma.f64 x 1/4 1)
(+.f64 1 (+.f64 (*.f64 -3/32 (pow.f64 x 2)) (*.f64 1/4 x)))
(+.f64 1 (fma.f64 -3/32 (*.f64 x x) (*.f64 x 1/4)))
(+.f64 (*.f64 (*.f64 x x) -3/32) (fma.f64 x 1/4 1))
(fma.f64 x 1/4 (fma.f64 x (*.f64 x -3/32) 1))
(+.f64 1 (+.f64 (*.f64 7/128 (pow.f64 x 3)) (+.f64 (*.f64 -3/32 (pow.f64 x 2)) (*.f64 1/4 x))))
(+.f64 1 (fma.f64 7/128 (pow.f64 x 3) (fma.f64 -3/32 (*.f64 x x) (*.f64 x 1/4))))
(+.f64 (fma.f64 (pow.f64 x 3) 7/128 (*.f64 (*.f64 x x) -3/32)) (fma.f64 x 1/4 1))
(fma.f64 (pow.f64 x 3) 7/128 (fma.f64 x 1/4 (fma.f64 x (*.f64 x -3/32) 1)))
(pow.f64 x 1/4)
(+.f64 (pow.f64 x 1/4) (*.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)))
(fma.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4) (pow.f64 x 1/4))
(+.f64 (pow.f64 x 1/4) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)) (*.f64 -3/32 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4))))
(+.f64 (pow.f64 x 1/4) (fma.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4) (*.f64 -3/32 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4))))
(+.f64 (pow.f64 x 1/4) (fma.f64 -3/32 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4) (*.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4))))
(fma.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4) (fma.f64 -3/32 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4) (pow.f64 x 1/4)))
(+.f64 (*.f64 7/128 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/4)) (+.f64 (pow.f64 x 1/4) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)) (*.f64 -3/32 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4)))))
(fma.f64 7/128 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/4) (+.f64 (pow.f64 x 1/4) (fma.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4) (*.f64 -3/32 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4)))))
(+.f64 (fma.f64 -3/32 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4) (*.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4))) (fma.f64 7/128 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/4) (pow.f64 x 1/4)))
(fma.f64 7/128 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/4) (fma.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4) (fma.f64 -3/32 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4) (pow.f64 x 1/4))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4))
(pow.f64 (exp.f64 (log.f64 x)) 1/4)
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/4 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))
(fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(fma.f64 1/4 (/.f64 (pow.f64 (/.f64 -1 x) -1/4) (/.f64 x (pow.f64 -1 1/4))) (*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4)))
(*.f64 (+.f64 (/.f64 1/4 x) 1) (pow.f64 (exp.f64 (log.f64 x)) 1/4))
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/4 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/32 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (*.f64 -3/32 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)))))
(+.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (*.f64 -3/32 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)))))
(fma.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4) (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) -1/4) (/.f64 x (pow.f64 -1 1/4))) (+.f64 1/4 (/.f64 -3/32 x))))
(+.f64 (pow.f64 (exp.f64 (log.f64 x)) 1/4) (*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) 1/4) x) (+.f64 1/4 (/.f64 -3/32 x))))
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 7/128 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 1/4 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/32 (/.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))))
(+.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 7/128 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (*.f64 -3/32 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x))))))
(+.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 7/128 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (*.f64 -3/32 (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x))))))
(fma.f64 7/128 (/.f64 (pow.f64 (/.f64 -1 x) -1/4) (/.f64 (pow.f64 x 3) (pow.f64 -1 1/4))) (fma.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4) (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) -1/4) (/.f64 x (pow.f64 -1 1/4))) (+.f64 1/4 (/.f64 -3/32 x)))))
(+.f64 (*.f64 (+.f64 (/.f64 1/4 x) 1) (pow.f64 (exp.f64 (log.f64 x)) 1/4)) (*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) 1/4) (*.f64 x x)) (+.f64 -3/32 (/.f64 7/128 x))))

localize21.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
29.8b
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/6) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
4.0b
(pow.f64 x -1/6)
0.6b
(cbrt.f64 x)
0.2b
(/.f64 1 (cbrt.f64 x))
✓0.2b
(/.f64 1 (cbrt.f64 x))
✓0.6b
(cbrt.f64 x)
✓4.0b
(pow.f64 x -1/6)
✓29.8b
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/6) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))

series82.0ms (1.1%)

Counts
4 → 17
Calls

12 calls:

TimeVariablePointExpression
38.0ms
x
@-inf
(pow.f64 x -1/6)
29.0ms
x
@0
(pow.f64 x -1/6)
7.0ms
x
@inf
(pow.f64 x -1/6)
1.0ms
x
@-inf
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/6) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
1.0ms
x
@0
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/6) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))

rewrite89.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
440×log-prod_binary64
303×prod-diff_binary64
272×pow2_binary64
259×pow-prod-down_binary64
200×pow-to-exp_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01234
126129
2311526
Stop Event
1×node limit
Counts
4 → 208
Calls
Call 1
Inputs
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/6) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 x -1/6)
(cbrt.f64 x)
(/.f64 1 (cbrt.f64 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/6) (pow.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -1/18) 2) (pow.f64 (pow.f64 x -1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -1/18) 4) (pow.f64 (pow.f64 x -1/18) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/12) (pow.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/4) (pow.f64 x -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) -2) (pow.f64 (pow.f64 x -1/18) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -1/18) 5) (pow.f64 x -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -1/18) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/18) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 4) -1/12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/6 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 x -1/18) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/3 (log.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/6 (log.f64 x)) 1) 2))))))

simplify45.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
662×fma-def_binary64
584×unswap-sqr_binary64
363×associate-/l/_binary64
350×fma-neg_binary64
327×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031129
181129
2169129
3370129
4986129
53295129
Stop Event
1×node limit
Counts
225 → 216
Calls
Call 1
Inputs
-1
(*.f64 -1 (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -1 (sqrt.f64 (/.f64 1 x))))
(*.f64 -1 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -1 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(pow.f64 (/.f64 1 x) 1/6)
(pow.f64 (/.f64 1 x) 1/6)
(pow.f64 (/.f64 1 x) 1/6)
(pow.f64 (/.f64 1 x) 1/6)
(pow.f64 (/.f64 1 x) 1/6)
(pow.f64 (/.f64 1 x) 1/6)
(pow.f64 (/.f64 1 x) 1/6)
(pow.f64 (/.f64 1 x) 1/6)
(exp.f64 (*.f64 -1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (*.f64 -1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (*.f64 -1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (*.f64 -1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
Outputs
-1
(*.f64 -1 (sqrt.f64 (/.f64 1 x)))
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -1 (sqrt.f64 (/.f64 1 x))))
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(*.f64 -1 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -1 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(pow.f64 (/.f64 1 x) 1/6)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(pow.f64 (/.f64 1 x) 1/6)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(pow.f64 (/.f64 1 x) 1/6)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(pow.f64 (/.f64 1 x) 1/6)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(pow.f64 (/.f64 1 x) 1/6)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(pow.f64 (/.f64 1 x) 1/6)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(pow.f64 (/.f64 1 x) 1/6)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(pow.f64 (/.f64 1 x) 1/6)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(exp.f64 (*.f64 -1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(exp.f64 (*.f64 -1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(exp.f64 (*.f64 -1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(exp.f64 (*.f64 -1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(neg.f64 (sqrt.f64 (/.f64 1 x)))

eval713.0ms (10%)

Compiler

Compiled 24931 to 20123 computations (19.3% saved)

prune203.0ms (2.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New97314987
Fresh23124
Picked101
Done314
Total1000161016
Error
0.0b
Counts
1016 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
✓20.4b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
62.8b
-1
31.7b
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
31.5b
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
37.3b
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
▶31.3b
(/.f64 1/2 (/.f64 x (pow.f64 x -1/2)))
32.0b
(-.f64 (pow.f64 x -1/2) 1)
6.6b
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (fma.f64 x x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
37.3b
(/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3)))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
▶62.6b
(neg.f64 (sqrt.f64 (/.f64 1 x)))
▶6.1b
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
37.1b
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
▶19.9b
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
▶30.9b
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
31.2b
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x)))))
30.6b
(/.f64 1 (+.f64 x (sqrt.f64 x)))
Compiler

Compiled 404 to 308 computations (23.8% saved)

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
6.0b
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
0.1b
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x))
0.0b
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
0.0b
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
✓0.1b
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x))
✓6.0b
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))

series9.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
2.0ms
x
@0
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
2.0ms
x
@inf
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
0.0ms
x
@inf
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x))
0.0ms
x
@-inf
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x))

rewrite79.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
934×prod-diff_binary64
458×fma-def_binary64
246×log-div_binary64
225×expm1-udef_binary64
225×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
133035
2421835
Stop Event
1×node limit
Counts
2 → 77
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 1 x)))) 2) 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(pow.f64 (*.f64 x (+.f64 1 x)) -1/2) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) (+.f64 1 x)) (/.f64 1 (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (/.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (pow.f64 x -1/2) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 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(*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 1 x)) -1/2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2)) (/.f64 (pow.f64 (*.f64 x (+.f64 1 x)) -1/2) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4))) (/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4))) (/.f64 (/.f64 1 (+.f64 1 x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 1 x)))) 2) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4))) (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 1 x)))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2))) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (*.f64 x (+.f64 1 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 1 x)) -1/2) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 x (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) 3) (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (/.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 (/.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (log1p.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 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 1 (cbrt.f64 (*.f64 x (+.f64 1 x)))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 1 x)))) 2) (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (+.f64 1 x)) -1/2) (pow.f64 (*.f64 x (+.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 (/.f64 1 x) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 1 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 x) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 x)) 1))))))

simplify49.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
902×times-frac_binary64
741×fma-def_binary64
482×distribute-rgt-in_binary64
471×distribute-lft-in_binary64
468×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691811
15601650
220791241
Stop Event
1×node limit
Counts
101 → 115
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) x) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) x) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))))) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (pow.f64 x 2))) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 x 4))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2) (sqrt.f64 (pow.f64 x 3))))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))) (sqrt.f64 x))) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))))) (sqrt.f64 (pow.f64 x 3)))) (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -5/16 (sqrt.f64 (/.f64 1 x)))) x)))) (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 x 4))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 1/2 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))))
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -5/16 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))))) (pow.f64 x 5)))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
Outputs
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (neg.f64 (fma.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))))
(-.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))) (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(-.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (/.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) (+.f64 1 (pow.f64 x -1/2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) x) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 (-.f64 (/.f64 1/8 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (neg.f64 (/.f64 (fma.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1/2))))) x (+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (neg.f64 (fma.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))))))
(-.f64 (fma.f64 x (+.f64 (/.f64 (/.f64 1/8 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (*.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (+.f64 1 (pow.f64 x -1/2))) (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
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(fma.f64 1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (/.f64 1/8 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))) (fma.f64 1/8 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) 9/4) (*.f64 (pow.f64 x 4) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3))) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (/.f64 3/2 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))) (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x)))))
(+.f64 (/.f64 (/.f64 1/32 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 -3/8 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (*.f64 x x)) (/.f64 (/.f64 9/32 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (pow.f64 x 4)))))
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -5/16 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))))) (pow.f64 x 5)))))))
(fma.f64 1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 1/8) (*.f64 (pow.f64 x 4) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))) (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3/2) 2) (*.f64 (pow.f64 x 4) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3))) (+.f64 (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3/2) (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))) (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 x x))) (neg.f64 (/.f64 (fma.f64 1/2 (/.f64 (fma.f64 1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 1/8) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)) (*.f64 1/8 (/.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3/2) 2) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3)))) (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3/2))) (fma.f64 1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 1/8) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3) (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3/2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 1/16) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))))) (pow.f64 x 5))))))
(fma.f64 1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (/.f64 1/8 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))) (fma.f64 1/8 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) 9/4) (*.f64 (pow.f64 x 4) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3))) (-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (/.f64 3/2 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))) (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x))) (/.f64 (fma.f64 1/2 (/.f64 (fma.f64 1/8 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) 9/4) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3)) (/.f64 (*.f64 1/4 (*.f64 1/8 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3/2))) (fma.f64 1/8 (*.f64 (/.f64 (*.f64 1/8 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3)) (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3/2)) (/.f64 1/4 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 1/16 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))) (pow.f64 x 5)))))
(+.f64 (/.f64 (/.f64 1/32 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 -3/8 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 (/.f64 1/2 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 1/32 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (/.f64 9/32 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2)))) 4/3) (+.f64 (/.f64 3/128 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (/.f64 1/64 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))))) (pow.f64 x 5))) (/.f64 (/.f64 9/32 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (-.f64 x 1))
(+.f64 x (+.f64 -1 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 x -1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (/.f64 1 x))) -1)
(+.f64 -1 (-.f64 (+.f64 x (/.f64 1 x)) (*.f64 x x)))
(+.f64 -1 (+.f64 x (-.f64 (/.f64 1 x) (*.f64 x x))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5)))))

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(sqrt.f64 (/.f64 1 x))
✓0.4b
(sqrt.f64 (/.f64 1 x))

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite66.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
399×pow1_binary64
386×add-sqr-sqrt_binary64
376×*-un-lft-identity_binary64
371×add-log-exp_binary64
371×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056
1994
211004
Stop Event
1×node limit
Counts
1 → 46
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 1 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (pow.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (pow.f64 (/.f64 1 (neg.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (sqrt.f64 (cbrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 3) 1/2) (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1 (cbrt.f64 x))) 1/2) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 x))) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (pow.f64 x -1/2))) 1/3) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))) 2) 3) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 x)))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
46 → 46
Calls
Call 1
Inputs
Outputs

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(/.f64 1/2 (/.f64 x (pow.f64 x -1/2)))
0.2b
(/.f64 x (pow.f64 x -1/2))
✓0.2b
(/.f64 x (pow.f64 x -1/2))
✓0.7b
(/.f64 1/2 (/.f64 x (pow.f64 x -1/2)))

series3.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 1/2 (/.f64 x (pow.f64 x -1/2)))
1.0ms
x
@0
(/.f64 1/2 (/.f64 x (pow.f64 x -1/2)))
1.0ms
x
@inf
(/.f64 1/2 (/.f64 x (pow.f64 x -1/2)))
0.0ms
x
@-inf
(/.f64 x (pow.f64 x -1/2))
0.0ms
x
@0
(/.f64 x (pow.f64 x -1/2))

rewrite48.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
723×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
0717
116011
2202911
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(/.f64 1/2 (/.f64 x (pow.f64 x -1/2)))
(/.f64 x (pow.f64 x -1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x -3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 x -3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 x)) (cbrt.f64 (/.f64 1/4 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 x 3))) (/.f64 (cbrt.f64 1/2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 x -3/2))) (sqrt.f64 (*.f64 1/2 (pow.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 x)) (neg.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) 1) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (cbrt.f64 (pow.f64 x -1))) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (pow.f64 x -1/4)) (pow.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 x -3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (pow.f64 x -3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 x -3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 x -3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x -3/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x 3/2)) (sqrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -1))) (/.f64 x (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x -1))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x -1))) (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x -1/4)) (/.f64 x (pow.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x -1/4)) (/.f64 (cbrt.f64 x) (pow.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 3/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (pow.f64 x -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x 3/2)))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
55 → 55
Calls
Call 1
Inputs
Outputs

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (sqrt.f64 x))
0.0b
(/.f64 1 (+.f64 (*.f64 1/2 x) 1))
0.0b
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓0.0b
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓0.0b
(/.f64 1 (+.f64 (*.f64 1/2 x) 1))
0.2b
(/.f64 1 (sqrt.f64 x))

series3.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
1.0ms
x
@inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
0.0ms
x
@inf
(/.f64 1 (+.f64 (*.f64 1/2 x) 1))
0.0ms
x
@0
(/.f64 1 (+.f64 (*.f64 1/2 x) 1))
0.0ms
x
@0
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))

rewrite78.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
982×prod-diff_binary64
496×log-prod_binary64
404×fma-def_binary64
235×fma-neg_binary64
191×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01024
122922
2323222
Stop Event
1×node limit
Counts
2 → 165
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (*.f64 1/2 x) 1))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 1)))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/2 x 1) -1/2) (pow.f64 (fma.f64 1/2 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2)) (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 1)) (-.f64 (fma.f64 1/4 (*.f64 x x) 1) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) -1)) (fma.f64 1/2 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 1/2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x 1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 1/2 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 1/2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 1/2 x))) 1))))))
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fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (*.f64 (/.f64 -1 (fma.f64 1/2 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (fma.f64 1/2 x 1) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (fma.f64 1/2 x 1) -1/2)) (fma.f64 (/.f64 -1 (fma.f64 1/2 x 1)) 1 (/.f64 1 (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (fma.f64 1/2 x 1) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (fma.f64 1/2 x 1) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 1)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x 1) -2)) (/.f64 1 (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (fma.f64 1/2 x 1) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (fma.f64 1/2 x 1) -1/2)) (+.f64 (/.f64 -1 (fma.f64 1/2 x 1)) (/.f64 1 (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x 1) -2))) (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 1))) (pow.f64 x -1/2))))))

simplify47.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
774×distribute-neg-frac_binary64
731×fma-def_binary64
725×associate-*l*_binary64
461×associate-*r*_binary64
417×times-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035181
193177
2231177
3626171
41851170
57130170
Stop Event
1×node limit
Counts
177 → 179
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 16 (/.f64 1 (pow.f64 x 4)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 16 (/.f64 1 (pow.f64 x 4)))))
Outputs
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/2 x 1) (*.f64 1/4 (*.f64 x x)))
(fma.f64 -1/2 x (fma.f64 1/4 (*.f64 x x) 1))
(fma.f64 x (*.f64 x 1/4) (fma.f64 -1/2 x 1))
(fma.f64 x (fma.f64 x 1/4 -1/2) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x 1) (*.f64 1/4 (*.f64 x x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 1/4 (*.f64 x x) 1)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/4) (fma.f64 -1/2 x 1)))
(fma.f64 x (fma.f64 x 1/4 -1/2) (fma.f64 -1/8 (pow.f64 x 3) 1))
(fma.f64 x (+.f64 -1/2 (*.f64 x (fma.f64 x -1/8 1/4))) 1)
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -4 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -4 x) x))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 -4 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 (/.f64 -4 x) x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 16 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 8 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -4 x) x) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -4 (*.f64 x x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 8 (/.f64 16 x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (/.f64 -16 (pow.f64 x 4)) (/.f64 -8 (pow.f64 x 3)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -4 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -4 x) x))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 -4 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 (/.f64 -4 x) x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 16 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 8 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -4 x) x) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -4 (*.f64 x x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 8 (/.f64 16 x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (/.f64 -16 (pow.f64 x 4)) (/.f64 -8 (pow.f64 x 3)))))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.2b
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
✓3.2b
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
0.0ms
x
@0
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
0.0ms
x
@inf
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))

rewrite71.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
943×pow1_binary64
884×add-log-exp_binary64
883×log1p-expm1-u_binary64
883×expm1-log1p-u_binary64
93×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
118313
2240713
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 1 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1)) (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/4)) (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)) (pow.f64 (*.f64 x (+.f64 x 1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)) (-.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)) (pow.f64 (*.f64 x (+.f64 x 1)) -1/2)) (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (+.f64 (+.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)) (pow.f64 (*.f64 x (+.f64 x 1)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (neg.f64 (+.f64 (+.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)) (pow.f64 (*.f64 x (+.f64 x 1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1))) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 3)) (+.f64 (pow.f64 x -1) (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (neg.f64 (pow.f64 (+.f64 x 1) -1/2))) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -1) (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))) (-.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))))))

simplify46.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
722×fma-def_binary64
583×times-frac_binary64
550×distribute-rgt-out_binary64
374×unswap-sqr_binary64
341×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
070433
1184421
2462333
31330281
45884260
Stop Event
1×node limit
Counts
48 → 59
Calls
Call 1
Inputs
(-.f64 (pow.f64 x -1/2) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (*.f64 -3/8 (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2))))) 1)
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))
(+.f64 (*.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (*.f64 -35/128 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (*.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))))
Outputs
(-.f64 (pow.f64 x -1/2) 1)
(+.f64 (pow.f64 x -1/2) -1)
(+.f64 -1 (pow.f64 x -1/2))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) -1)
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) -1)
(+.f64 (pow.f64 x -1/2) (fma.f64 x 1/2 -1))
(fma.f64 x 1/2 (+.f64 (pow.f64 x -1/2) -1))
(fma.f64 x 1/2 (+.f64 -1 (pow.f64 x -1/2)))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (*.f64 -3/8 (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) (*.f64 -3/8 (*.f64 x x))) -1)
(+.f64 (fma.f64 x 1/2 (fma.f64 -3/8 (*.f64 x x) (pow.f64 x -1/2))) -1)
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) (fma.f64 x (*.f64 x -3/8) -1))
(fma.f64 x (fma.f64 x -3/8 1/2) (+.f64 (pow.f64 x -1/2) -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (fma.f64 x -3/8 1/2) -1))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) (fma.f64 5/16 (pow.f64 x 3) (*.f64 -3/8 (*.f64 x x)))) -1)
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) (+.f64 (fma.f64 -3/8 (*.f64 x x) (*.f64 5/16 (pow.f64 x 3))) -1))
(+.f64 (fma.f64 x (*.f64 x -3/8) (fma.f64 5/16 (pow.f64 x 3) (pow.f64 x -1/2))) (fma.f64 x 1/2 -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 (*.f64 x x) (fma.f64 x 5/16 -3/8) (fma.f64 x 1/2 -1)))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 5/16 -3/8))) -1))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))))))
(*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))
(*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) x))
(/.f64 1/2 (/.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) (/.f64 x (pow.f64 -1 -1/2))))
(*.f64 1/2 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) -1/2) x))
(/.f64 1/2 (/.f64 x (pow.f64 x -1/2)))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))
(fma.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) x) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 x x))))
(fma.f64 -3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (/.f64 1/2 (/.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) (/.f64 x (pow.f64 -1 -1/2))) (+.f64 1/2 (/.f64 -3/8 x)))
(*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
(+.f64 (*.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(fma.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) x) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 x x)))))
(fma.f64 5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 -3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (/.f64 1/2 (/.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) (/.f64 x (pow.f64 -1 -1/2))) (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) x) (/.f64 (pow.f64 -1 -1/2) x)) (+.f64 -3/8 (/.f64 5/16 x))))
(*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x)))))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x)))))
(+.f64 (*.f64 -35/128 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (*.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))))
(fma.f64 -35/128 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (pow.f64 x 4)) (fma.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) x) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 x x))))))
(fma.f64 -35/128 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (fma.f64 5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 -3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (/.f64 1/2 (/.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))))
(+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) (/.f64 x (pow.f64 -1 -1/2))) (+.f64 1/2 (/.f64 -3/8 x))) (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) x) (/.f64 (pow.f64 -1 -1/2) x)) (+.f64 (/.f64 5/16 x) (/.f64 -35/128 (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)) (*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) -1/2) (pow.f64 x 3)) (+.f64 5/16 (/.f64 -35/128 x))))
(fma.f64 1/2 (/.f64 (pow.f64 x -1/2) x) (*.f64 (/.f64 1 (pow.f64 x 5/2)) (+.f64 (/.f64 5/16 x) (+.f64 -3/8 (/.f64 -35/128 (*.f64 x x))))))

eval540.0ms (7.6%)

Compiler

Compiled 13760 to 10945 computations (20.5% saved)

prune130.0ms (1.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New55211563
Fresh6410
Picked011
Done505
Total56316579
Error
0b
Counts
579 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
6.4b
(*.f64 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) 1)
▶31.3b
(/.f64 1/2 (pow.f64 x 3/2))
30.7b
(*.f64 (pow.f64 x -3/2) 1/2)
▶62.6b
(neg.f64 (pow.f64 x -1/2))
31.2b
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x)))))
▶30.8b
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
50.6b
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x -3/2))) 1)
24.1b
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2))) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (*.f64 x (+.f64 1 x)) -1/2)))
31.3b
(/.f64 1/2 (*.f64 (sqrt.f64 x) x))
31.7b
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
▶31.5b
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
32.0b
(-.f64 (pow.f64 x -1/2) 1)
▶6.1b
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
✓19.9b
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
30.8b
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
62.8b
-1
Compiler

Compiled 364 to 288 computations (20.9% saved)

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
5.9b
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
0.3b
(/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
0.1b
(/.f64 (/.f64 1 x) (+.f64 1 x))
0.0b
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
0.0b
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
✓0.1b
(/.f64 (/.f64 1 x) (+.f64 1 x))
✓0.3b
(/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
✓5.9b
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))

series8.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (/.f64 1 x) (+.f64 1 x))
1.0ms
x
@0
(/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms
x
@-inf
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
1.0ms
x
@-inf
(/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms
x
@0
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))

rewrite78.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
993×prod-diff_binary64
411×fma-def_binary64
231×expm1-udef_binary64
231×log1p-udef_binary64
213×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
128851
2430951
Stop Event
1×node limit
Counts
3 → 114
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 1 x) (+.f64 1 x))
Outputs
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simplify80.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
689×associate-/r*_binary64
546×distribute-rgt-in_binary64
528×distribute-lft-in_binary64
490×associate-/l*_binary64
301×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02382323
17942138
227891691
Stop Event
1×node limit
Counts
150 → 175
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) x) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) x) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))))) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (pow.f64 x 2))) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 x 4))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2) (sqrt.f64 (pow.f64 x 3))))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))) (sqrt.f64 x))) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))))) (sqrt.f64 (pow.f64 x 3)))) (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -5/16 (sqrt.f64 (/.f64 1 x)))) x)))) (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 x 4))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 1/2 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))))
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -5/16 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))))) (pow.f64 x 5)))))))
(/.f64 1 (+.f64 (pow.f64 x -1/2) 1))
(+.f64 (*.f64 1/2 (/.f64 x (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)))
(+.f64 (*.f64 1/2 (/.f64 x (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (+.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2)))) (*.f64 3/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))))) (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (/.f64 x (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (+.f64 (*.f64 (-.f64 (*.f64 5/16 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (+.f64 (*.f64 3/16 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 3/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))))) (+.f64 (pow.f64 x -1/2) 1))))) (pow.f64 x 3)) (+.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2)))) (*.f64 3/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))))) (pow.f64 x 2)))))
(*.f64 1/2 (sqrt.f64 x))
(+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 x)))
(+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 3/32 (sqrt.f64 x)) (*.f64 -1/32 (sqrt.f64 x))) (pow.f64 x 2)))))
(+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (sqrt.f64 x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -5/64 (sqrt.f64 x)) (+.f64 (*.f64 1/4 (+.f64 (*.f64 3/32 (sqrt.f64 x)) (*.f64 -1/32 (sqrt.f64 x)))) (*.f64 3/128 (sqrt.f64 x)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 3/32 (sqrt.f64 x)) (*.f64 -1/32 (sqrt.f64 x))) (pow.f64 x 2))))))
(/.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 1/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 1/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))) (*.f64 1/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))) (*.f64 5/128 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))))) (*.f64 1/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
Outputs
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (neg.f64 (fma.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))))
(-.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(-.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) x) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 (-.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1/2))))) x (+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (neg.f64 (fma.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))))
(fma.f64 x (+.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (*.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (+.f64 1 (pow.f64 x -1/2))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (-.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(fma.f64 x (+.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (/.f64 (/.f64 1 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (-.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) x) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))))) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (pow.f64 x 2))) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))))
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(fma.f64 (sqrt.f64 (/.f64 1 x)) 1/8 (-.f64 (-.f64 (*.f64 1/2 (sqrt.f64 x)) (/.f64 (fma.f64 (sqrt.f64 x) -5/64 (fma.f64 (sqrt.f64 x) 3/128 (*.f64 (sqrt.f64 x) 1/64))) (pow.f64 x 3))) (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 1/16 x))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) 1/8 (fma.f64 1/2 (sqrt.f64 x) (/.f64 (*.f64 (sqrt.f64 x) -1/16) (*.f64 x x)))) (/.f64 (fma.f64 (sqrt.f64 x) -5/64 (*.f64 (sqrt.f64 x) 5/128)) (pow.f64 x 3)))
(/.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(/.f64 1/2 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 1/2 (exp.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(/.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)))
(+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 1/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(+.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 1/8 (*.f64 x (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(fma.f64 1/2 (exp.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (/.f64 1/8 x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2))) (/.f64 (/.f64 1/8 x) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 1/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))) (*.f64 1/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (-.f64 (/.f64 1/8 (*.f64 x (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 1/16 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))))
(fma.f64 1/2 (exp.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (fma.f64 1/8 (/.f64 (exp.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (*.f64 (/.f64 (exp.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x)) -1/16)))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2))) (+.f64 (/.f64 (/.f64 1/8 x) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2))) (/.f64 (/.f64 -1/16 (*.f64 x x)) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))) (*.f64 5/128 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))))) (*.f64 1/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (-.f64 (+.f64 (/.f64 1/8 (*.f64 x (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 5/128 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) (/.f64 1/16 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))))
(+.f64 (fma.f64 1/2 (exp.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (fma.f64 5/128 (/.f64 (exp.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)) (/.f64 (/.f64 1/8 x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (*.f64 (/.f64 (exp.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x)) -1/16))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2))) (+.f64 (/.f64 (/.f64 1/8 x) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2))) (+.f64 (/.f64 5/128 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)))) (/.f64 (/.f64 -1/16 (*.f64 x x)) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (-.f64 x 1))
(+.f64 x (+.f64 -1 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (/.f64 1 x))) -1)
(+.f64 -1 (-.f64 (+.f64 x (/.f64 1 x)) (*.f64 x x)))
(+.f64 x (-.f64 (-.f64 (/.f64 1 x) (*.f64 x x)) 1))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))

localize4.0ms (0.1%)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.7b
(/.f64 1/2 (pow.f64 x 3/2))
✓0.7b
(/.f64 1/2 (pow.f64 x 3/2))

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 1/2 (pow.f64 x 3/2))
1.0ms
x
@0
(/.f64 1/2 (pow.f64 x 3/2))
0.0ms
x
@inf
(/.f64 1/2 (pow.f64 x 3/2))

rewrite71.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
560×pow1_binary64
531×add-log-exp_binary64
531×log1p-expm1-u_binary64
531×expm1-log1p-u_binary64
520×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11347
215257
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(/.f64 1/2 (pow.f64 x 3/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x -3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 x -3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -3/2))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 x 3))) (cbrt.f64 (*.f64 1/2 (pow.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3/4)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 x -3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (pow.f64 x -3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 x -3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x -3/2))))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/2 x) (pow.f64 x -1/2))
✓0.0b
(+.f64 (*.f64 1/2 x) (pow.f64 x -1/2))

series6.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@0
(+.f64 (*.f64 1/2 x) (pow.f64 x -1/2))
0.0ms
x
@inf
(+.f64 (*.f64 1/2 x) (pow.f64 x -1/2))
0.0ms
x
@-inf
(+.f64 (*.f64 1/2 x) (pow.f64 x -1/2))

rewrite50.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
763×pow1_binary64
716×add-log-exp_binary64
716×log1p-expm1-u_binary64
716×expm1-log1p-u_binary64
701×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11588
220018
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 x) (pow.f64 x -1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/2 x (pow.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 (*.f64 1/2 x) (pow.f64 x -1/2))) (/.f64 (pow.f64 x -1) (-.f64 (*.f64 1/2 x) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (pow.f64 x -1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (pow.f64 x -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (pow.f64 x -1/2))) 2) (cbrt.f64 (fma.f64 1/2 x (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (pow.f64 x -1/2))) (sqrt.f64 (fma.f64 1/2 x (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x -3/2)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 (pow.f64 x -1) (*.f64 1/2 (*.f64 x (pow.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (pow.f64 x -1)) (/.f64 1 (-.f64 (*.f64 1/2 x) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 (pow.f64 x -1) (*.f64 1/2 (*.f64 x (pow.f64 x -1/2))))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) (-.f64 (pow.f64 (*.f64 1/2 x) 2) (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x -3/2)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 (pow.f64 x -1) (*.f64 1/2 (*.f64 x (pow.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x -3/2)) (+.f64 (pow.f64 x -1) (-.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 1/2 (*.f64 x (pow.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (pow.f64 x -1)) (-.f64 (*.f64 1/2 x) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x -3/2))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 (pow.f64 x -1) (*.f64 1/2 (*.f64 x (pow.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (pow.f64 x -1))) (neg.f64 (-.f64 (*.f64 1/2 x) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -1) (pow.f64 (*.f64 1/2 x) 2)) (-.f64 (pow.f64 x -1/2) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (pow.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (pow.f64 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 x (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -1/2) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (*.f64 1/2 x))))))

simplify37.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
633×associate-/l/_binary64
513×div-sub_binary64
504×fma-neg_binary64
331×associate-*r*_binary64
291×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
018104
139104
275104
3159104
4423104
5118284
6499384
Stop Event
1×node limit
Counts
47 → 41
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 x))
(+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/2 x)
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/2 x))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/2 x))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/2 x))
Outputs
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x)))
(fma.f64 1/2 x (sqrt.f64 (/.f64 1 x)))
(fma.f64 x 1/2 (sqrt.f64 (/.f64 1 x)))
(fma.f64 1/2 x (pow.f64 x -1/2))
(+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x)))
(fma.f64 1/2 x (sqrt.f64 (/.f64 1 x)))
(fma.f64 x 1/2 (sqrt.f64 (/.f64 1 x)))
(fma.f64 1/2 x (pow.f64 x -1/2))
(+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x)))
(fma.f64 1/2 x (sqrt.f64 (/.f64 1 x)))
(fma.f64 x 1/2 (sqrt.f64 (/.f64 1 x)))
(fma.f64 1/2 x (pow.f64 x -1/2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x)))
(fma.f64 1/2 x (sqrt.f64 (/.f64 1 x)))
(fma.f64 x 1/2 (sqrt.f64 (/.f64 1 x)))
(fma.f64 1/2 x (pow.f64 x -1/2))
(+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x)))
(fma.f64 1/2 x (sqrt.f64 (/.f64 1 x)))
(fma.f64 x 1/2 (sqrt.f64 (/.f64 1 x)))
(fma.f64 1/2 x (pow.f64 x -1/2))
(+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x)))
(fma.f64 1/2 x (sqrt.f64 (/.f64 1 x)))
(fma.f64 x 1/2 (sqrt.f64 (/.f64 1 x)))
(fma.f64 1/2 x (pow.f64 x -1/2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/2 x))
(fma.f64 1/2 x (sqrt.f64 (/.f64 1 x)))
(fma.f64 x 1/2 (sqrt.f64 (/.f64 1 x)))
(fma.f64 1/2 x (pow.f64 x -1/2))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/2 x))
(fma.f64 1/2 x (sqrt.f64 (/.f64 1 x)))
(fma.f64 x 1/2 (sqrt.f64 (/.f64 1 x)))
(fma.f64 1/2 x (pow.f64 x -1/2))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/2 x))
(fma.f64 1/2 x (sqrt.f64 (/.f64 1 x)))
(fma.f64 x 1/2 (sqrt.f64 (/.f64 1 x)))
(fma.f64 1/2 x (pow.f64 x -1/2))

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 (*.f64 1/2 x) 1))
0.0b
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓0.0b
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
0.0b
(/.f64 1 (+.f64 (*.f64 1/2 x) 1))

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
0.0ms
x
@0
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
0.0ms
x
@-inf
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))

rewrite81.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
665×prod-diff_binary64
455×log-prod_binary64
312×fma-def_binary64
272×pow2_binary64
271×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
122814
2292214
Stop Event
1×node limit
Counts
1 → 124
Calls
Call 1
Inputs
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) (/.f64 -1 (fma.f64 x 1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) (*.f64 (/.f64 -1 (fma.f64 x 1/2 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (fma.f64 x 1/2 1))) (fma.f64 (/.f64 -1 (fma.f64 x 1/2 1)) 1 (/.f64 1 (fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (fma.f64 x 1/2 1))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 1)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 1) -2)) (/.f64 1 (fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (fma.f64 x 1/2 1))) (+.f64 (/.f64 -1 (fma.f64 x 1/2 1)) (/.f64 1 (fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (fma.f64 x 1/2 1))) (fma.f64 -1 (/.f64 1 (fma.f64 x 1/2 1)) (/.f64 1 (fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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(fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (fma.f64 x 1/2 1)))) (sqrt.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (fma.f64 x 1/2 1)))) (+.f64 (/.f64 -1 (fma.f64 x 1/2 1)) (/.f64 1 (fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 x 1/2 1)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (fma.f64 x 1/2 1) -3)) (/.f64 1 (+.f64 (pow.f64 x -1) (+.f64 (pow.f64 (fma.f64 x 1/2 1) -2) (/.f64 (pow.f64 x -1/2) (fma.f64 x 1/2 1))))) (fma.f64 (/.f64 -1 (fma.f64 x 1/2 1)) 1 (/.f64 1 (fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (fma.f64 x 1/2 1) -3)) (/.f64 1 (+.f64 (pow.f64 x -1) (+.f64 (pow.f64 (fma.f64 x 1/2 1) -2) (/.f64 (pow.f64 x -1/2) (fma.f64 x 1/2 1))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 1)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 1) -2)) (/.f64 1 (fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (fma.f64 x 1/2 1) -3)) (/.f64 1 (+.f64 (pow.f64 x -1) (+.f64 (pow.f64 (fma.f64 x 1/2 1) -2) (/.f64 (pow.f64 x -1/2) (fma.f64 x 1/2 1))))) (+.f64 (/.f64 -1 (fma.f64 x 1/2 1)) (/.f64 1 (fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -1) (pow.f64 (fma.f64 x 1/2 1) -2)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (/.f64 1 (fma.f64 x 1/2 1)))) (fma.f64 (/.f64 -1 (fma.f64 x 1/2 1)) 1 (/.f64 1 (fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -1) (pow.f64 (fma.f64 x 1/2 1) -2)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (/.f64 1 (fma.f64 x 1/2 1)))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 1)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 1) -2)) (/.f64 1 (fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -1) (pow.f64 (fma.f64 x 1/2 1) -2)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (/.f64 1 (fma.f64 x 1/2 1)))) (+.f64 (/.f64 -1 (fma.f64 x 1/2 1)) (/.f64 1 (fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (/.f64 -1 (fma.f64 x 1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (*.f64 (/.f64 -1 (fma.f64 x 1/2 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x 1/2 1))) 2) (cbrt.f64 (/.f64 -1 (fma.f64 x 1/2 1))) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x 1/2 1))) (sqrt.f64 (/.f64 -1 (fma.f64 x 1/2 1))) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (fma.f64 x 1/2 1) -1/2)) (pow.f64 (fma.f64 x 1/2 1) -1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2) (/.f64 -1 (fma.f64 x 1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2) (*.f64 (/.f64 -1 (fma.f64 x 1/2 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 x -1/6) (/.f64 -1 (fma.f64 x 1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 x -1/6) (*.f64 (/.f64 -1 (fma.f64 x 1/2 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/4) (pow.f64 (fma.f64 x 1/2 1) -1/2)) (-.f64 (pow.f64 x -1/4) (pow.f64 (fma.f64 x 1/2 1) -1/2)) (fma.f64 (/.f64 -1 (fma.f64 x 1/2 1)) 1 (/.f64 1 (fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/4) (pow.f64 (fma.f64 x 1/2 1) -1/2)) (-.f64 (pow.f64 x -1/4) (pow.f64 (fma.f64 x 1/2 1) -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 1)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 1) -2)) (/.f64 1 (fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/4) (pow.f64 (fma.f64 x 1/2 1) -1/2)) (-.f64 (pow.f64 x -1/4) (pow.f64 (fma.f64 x 1/2 1) -1/2)) (+.f64 (/.f64 -1 (fma.f64 x 1/2 1)) (/.f64 1 (fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 1) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 1))) (pow.f64 x -1/2))))))

simplify35.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
602×associate-*l*_binary64
589×fma-def_binary64
528×fma-neg_binary64
451×associate-/r*_binary64
346×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
051247
1148241
2384221
31079201
43072184
Stop Event
1×node limit
Counts
136 → 147
Calls
Call 1
Inputs
(-.f64 (pow.f64 x -1/2) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (*.f64 -1/4 (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))) 1)
(sqrt.f64 (/.f64 1 x))
(-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
Outputs
(-.f64 (pow.f64 x -1/2) 1)
(+.f64 (pow.f64 x -1/2) -1)
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) -1)
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) -1)
(+.f64 (pow.f64 x -1/2) (fma.f64 x 1/2 -1))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (*.f64 -1/4 (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) (*.f64 -1/4 (*.f64 x x))) -1)
(+.f64 (fma.f64 x 1/2 (fma.f64 -1/4 (*.f64 x x) (pow.f64 x -1/2))) -1)
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) (fma.f64 -1/4 (*.f64 x x) -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (fma.f64 x -1/4 1/2) -1))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))) 1)
(+.f64 (+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) (fma.f64 -1/4 (*.f64 x x) (*.f64 1/8 (pow.f64 x 3)))) -1)
(fma.f64 x 1/2 (+.f64 (+.f64 (fma.f64 -1/4 (*.f64 x x) (pow.f64 x -1/2)) (*.f64 1/8 (pow.f64 x 3))) -1))
(+.f64 (fma.f64 x 1/2 (fma.f64 -1/4 (*.f64 x x) (pow.f64 x -1/2))) (fma.f64 1/8 (pow.f64 x 3) -1))
(+.f64 (fma.f64 x (fma.f64 x -1/4 1/2) (pow.f64 x -1/2)) (fma.f64 1/8 (pow.f64 x 3) -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/8 -1/4))) -1))
(sqrt.f64 (/.f64 1 x))
(-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 2 (/.f64 1 x)))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 2 x))
(+.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 4 (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 2 x)))
(+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -2 x)))
(-.f64 (sqrt.f64 (/.f64 1 x)) (-.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 4 (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (sqrt.f64 (/.f64 1 x)) (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -2 x)) (/.f64 8 (pow.f64 x 3))))
(+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 8 (pow.f64 x 3)))))
(+.f64 (/.f64 -2 x) (+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 3)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2))
(pow.f64 (exp.f64 -1/2) (log.f64 x))
(pow.f64 x -1/2)
(-.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 2 x))
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 -2 x))
(fma.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2) (/.f64 -2 x))
(+.f64 (pow.f64 (exp.f64 -1/2) (log.f64 x)) (/.f64 -2 x))
(-.f64 (pow.f64 x -1/2) (/.f64 2 x))
(-.f64 (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -2 x)))
(fma.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -2 x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (log.f64 x)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -2 x)))
(+.f64 (pow.f64 x -1/2) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -2 x)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 4 (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (/.f64 4 (*.f64 x x)) (-.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3)))))
(+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (fma.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2) (/.f64 -2 x)) (/.f64 -8 (pow.f64 x 3))))
(-.f64 (/.f64 4 (*.f64 x x)) (-.f64 (-.f64 (/.f64 2 x) (/.f64 -8 (pow.f64 x 3))) (pow.f64 (exp.f64 -1/2) (log.f64 x))))
(+.f64 (+.f64 (pow.f64 x -1/2) (/.f64 4 (*.f64 x x))) (-.f64 (/.f64 -2 x) (/.f64 8 (pow.f64 x 3))))

eval355.0ms (5%)

Compiler

Compiled 13437 to 10778 computations (19.8% saved)

prune123.0ms (1.7%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New4955500
Fresh3710
Picked011
Done235
Total50016516
Error
0b
Counts
516 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
30.7b
(*.f64 (pow.f64 x -3/2) 1/2)
6.4b
(/.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (*.f64 x (+.f64 1 x)))
✓31.3b
(/.f64 1/2 (pow.f64 x 3/2))
32.0b
(-.f64 (pow.f64 x -1/2) 1)
31.9b
(pow.f64 x -1/2)
32.3b
(sqrt.f64 (/.f64 1 x))
31.2b
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x)))))
✓30.8b
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
50.6b
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x -3/2))) 1)
31.3b
(/.f64 1/2 (*.f64 (sqrt.f64 x) x))
31.7b
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
✓31.5b
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
✓19.9b
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
30.8b
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
62.8b
-1
62.5b
(-.f64 (*.f64 x 1/2) 1)
Compiler

Compiled 140 to 111 computations (20.7% saved)

regimes199.0ms (2.8%)

Counts
60 → 2
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 x 1/2) 1)
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(neg.f64 (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) 1)
(/.f64 1/2 (pow.f64 x 3/2))
(*.f64 (pow.f64 x -3/2) 1/2)
(-.f64 (pow.f64 x -1/2) 1)
(-.f64 (pow.f64 x -1/2) 1)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(/.f64 1/2 (*.f64 (sqrt.f64 x) x))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(/.f64 1/2 (/.f64 x (pow.f64 x -1/2)))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x -3/2))) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x)))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (*.f64 x (+.f64 1 x)))
(*.f64 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) 1)
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (*.f64 -1/2 (log1p.f64 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -3/2))
(-.f64 (pow.f64 (cbrt.f64 x) -3/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (cbrt.f64 (pow.f64 x -3/2)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) -3/2)))
(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (pow.f64 (pow.f64 x -1/4) 2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (fma.f64 x x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (*.f64 x (+.f64 1 x)) -1/2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (*.f64 x (+.f64 1 x)) -1/2))) (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2))))
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2))) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (*.f64 x (+.f64 1 x)) -1/2)))
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/6) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/4)) (pow.f64 (+.f64 1 x) -1/4) (pow.f64 x -1/2))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (*.f64 (sqrt.f64 x) -1)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4)) (-.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4)))
(/.f64 (-.f64 (/.f64 1 x) (pow.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 2)) (-.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3)))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)) (+.f64 (/.f64 1 x) (-.f64 (pow.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 2) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))))))
Outputs
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x)))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
Calls

3 calls:

106.0ms
x
44.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
24.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
ErrorSegmentsBranch
0.1b2x
0.1b2(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
0.1b2(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 797 to 604 computations (24.2% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.1008610914227963e-7
0.0014508773348931858
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes77.0ms (1.1%)

Counts
24 → 2
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 x 1/2) 1)
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(neg.f64 (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) 1)
(/.f64 1/2 (pow.f64 x 3/2))
(*.f64 (pow.f64 x -3/2) 1/2)
(-.f64 (pow.f64 x -1/2) 1)
(-.f64 (pow.f64 x -1/2) 1)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(/.f64 1/2 (*.f64 (sqrt.f64 x) x))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(/.f64 1/2 (/.f64 x (pow.f64 x -1/2)))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x -3/2))) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x)))))
Outputs
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x)))))
Calls

1 calls:

48.0ms
x
Results
ErrorSegmentsBranch
0.4b2x
Compiler

Compiled 174 to 129 computations (25.9% saved)

bsearch57.0ms (0.8%)

Algorithm
1×binary-search
Steps
TimeLeftRight
57.0ms
0.001605866299076687
48.65619538240844
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes39.0ms (0.5%)

Counts
23 → 2
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 x 1/2) 1)
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(neg.f64 (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) 1)
(/.f64 1/2 (pow.f64 x 3/2))
(*.f64 (pow.f64 x -3/2) 1/2)
(-.f64 (pow.f64 x -1/2) 1)
(-.f64 (pow.f64 x -1/2) 1)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(/.f64 1/2 (*.f64 (sqrt.f64 x) x))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(/.f64 1/2 (/.f64 x (pow.f64 x -1/2)))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x -3/2))) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
Outputs
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
Calls

1 calls:

33.0ms
x
Results
ErrorSegmentsBranch
0.5b2x
Compiler

Compiled 157 to 118 computations (24.8% saved)

bsearch24.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
24.0ms
0.001605866299076687
48.65619538240844
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes77.0ms (1.1%)

Counts
20 → 2
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 x 1/2) 1)
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(neg.f64 (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) 1)
(/.f64 1/2 (pow.f64 x 3/2))
(*.f64 (pow.f64 x -3/2) 1/2)
(-.f64 (pow.f64 x -1/2) 1)
(-.f64 (pow.f64 x -1/2) 1)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(/.f64 1/2 (*.f64 (sqrt.f64 x) x))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(/.f64 1/2 (/.f64 x (pow.f64 x -1/2)))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x -3/2))) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
Outputs
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(*.f64 (pow.f64 x -3/2) 1/2)
Calls

1 calls:

33.0ms
x
Results
ErrorSegmentsBranch
0.8b2x
Compiler

Compiled 121 to 91 computations (24.8% saved)

bsearch22.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
22.0ms
0.001605866299076687
48.65619538240844
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes61.0ms (0.8%)

Counts
19 → 2
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 x 1/2) 1)
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(neg.f64 (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) 1)
(/.f64 1/2 (pow.f64 x 3/2))
(*.f64 (pow.f64 x -3/2) 1/2)
(-.f64 (pow.f64 x -1/2) 1)
(-.f64 (pow.f64 x -1/2) 1)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(/.f64 1/2 (*.f64 (sqrt.f64 x) x))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(/.f64 1/2 (/.f64 x (pow.f64 x -1/2)))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x -3/2))) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
Outputs
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(*.f64 (pow.f64 x -3/2) 1/2)
Calls

1 calls:

32.0ms
x
Results
ErrorSegmentsBranch
0.8b2x
Compiler

Compiled 110 to 82 computations (25.5% saved)

bsearch24.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
24.0ms
0.001605866299076687
48.65619538240844
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes48.0ms (0.7%)

Counts
17 → 2
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 x 1/2) 1)
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(neg.f64 (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) 1)
(/.f64 1/2 (pow.f64 x 3/2))
(*.f64 (pow.f64 x -3/2) 1/2)
(-.f64 (pow.f64 x -1/2) 1)
(-.f64 (pow.f64 x -1/2) 1)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(/.f64 1/2 (*.f64 (sqrt.f64 x) x))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(/.f64 1/2 (/.f64 x (pow.f64 x -1/2)))
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x -3/2))) 1)
Outputs
(-.f64 (pow.f64 x -1/2) 1)
(*.f64 (pow.f64 x -3/2) 1/2)
Calls

1 calls:

43.0ms
x
Results
ErrorSegmentsBranch
1.0b2x
Compiler

Compiled 91 to 68 computations (25.3% saved)

bsearch51.0ms (0.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
50.0ms
0.001605866299076687
48.65619538240844
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes138.0ms (1.9%)

Counts
7 → 2
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 x 1/2) 1)
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(neg.f64 (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) 1)
(/.f64 1/2 (pow.f64 x 3/2))
Outputs
(-.f64 (pow.f64 x -1/2) 1)
(/.f64 1/2 (pow.f64 x 3/2))
Calls

1 calls:

136.0ms
x
Results
ErrorSegmentsBranch
1.5b2x
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch24.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
24.0ms
0.001605866299076687
48.65619538240844
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes12.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 x 1/2) 1)
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(neg.f64 (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) 1)
Outputs
(pow.f64 x -1/2)
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
31.9b1x
Compiler

Compiled 25 to 19 computations (24% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.5b remaining (-0.7%)

Threshold costs -0.5b (-0.7%)

Counts
2 → 1
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 x 1/2) 1)
Outputs
(-.f64 (*.f64 x 1/2) 1)
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
62.5b1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
15×+-commutative_binary64
9×sub-neg_binary64
7×*-commutative_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054252
177252
291252
397252
4100252
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 4722366482869645/9444732965739290427392) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x))))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(if (<=.f64 x 29623004635662768/18446744073709551616) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1))) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x))))))
(if (<=.f64 x 29623004635662768/18446744073709551616) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1))) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(if (<=.f64 x 29623004635662768/18446744073709551616) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1))) (*.f64 (pow.f64 x -3/2) 1/2))
(if (<=.f64 x 29623004635662768/18446744073709551616) (-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1) (*.f64 (pow.f64 x -3/2) 1/2))
(if (<=.f64 x 29623004635662768/18446744073709551616) (-.f64 (pow.f64 x -1/2) 1) (*.f64 (pow.f64 x -3/2) 1/2))
(if (<=.f64 x 29623004635662768/18446744073709551616) (-.f64 (pow.f64 x -1/2) 1) (/.f64 1/2 (pow.f64 x 3/2)))
(pow.f64 x -1/2)
(-.f64 (*.f64 x 1/2) 1)
-1
Outputs
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 4722366482869645/9444732965739290427392) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x))))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4722366482869645/9444732965739290427392) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x))))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(if (<=.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) 4722366482869645/9444732965739290427392) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x))))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(if (<=.f64 x 29623004635662768/18446744073709551616) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1))) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x))))))
(if (<=.f64 x 1851437789728923/1152921504606846976) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 1 (*.f64 x 1/2)))) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) (+.f64 1/2 (/.f64 5/16 (*.f64 x x))))))
(if (<=.f64 x 29623004635662768/18446744073709551616) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1))) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(if (<=.f64 x 1851437789728923/1152921504606846976) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 1 (*.f64 x 1/2)))) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 (/.f64 -3/8 x) 1/2)))
(if (<=.f64 x 29623004635662768/18446744073709551616) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1))) (*.f64 (pow.f64 x -3/2) 1/2))
(if (<=.f64 x 1851437789728923/1152921504606846976) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 1 (*.f64 x 1/2)))) (*.f64 1/2 (pow.f64 x -3/2)))
(if (<=.f64 x 29623004635662768/18446744073709551616) (-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1) (*.f64 (pow.f64 x -3/2) 1/2))
(if (<=.f64 x 1851437789728923/1152921504606846976) (+.f64 (+.f64 (pow.f64 x -1/2) (*.f64 x 1/2)) -1) (*.f64 1/2 (pow.f64 x -3/2)))
(if (<=.f64 x 29623004635662768/18446744073709551616) (-.f64 (pow.f64 x -1/2) 1) (*.f64 (pow.f64 x -3/2) 1/2))
(if (<=.f64 x 1851437789728923/1152921504606846976) (+.f64 (pow.f64 x -1/2) -1) (*.f64 1/2 (pow.f64 x -3/2)))
(if (<=.f64 x 29623004635662768/18446744073709551616) (-.f64 (pow.f64 x -1/2) 1) (/.f64 1/2 (pow.f64 x 3/2)))
(if (<=.f64 x 1851437789728923/1152921504606846976) (+.f64 (pow.f64 x -1/2) -1) (/.f64 1/2 (pow.f64 x 3/2)))
(pow.f64 x -1/2)
(-.f64 (*.f64 x 1/2) 1)
(+.f64 (*.f64 x 1/2) -1)
-1

end153.0ms (2.1%)

Stop Event
1×fuel
Compiler

Compiled 357 to 278 computations (22.1% saved)

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