Details

Time bar (total: 2.9s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
62.5%62.5%37.5%0%0%0%0%4
81.3%81.2%18.7%0%0%0%0%5
90.6%90.6%9.4%0%0%0%0%6
95.3%95.3%4.7%0%0%0%0%7
97.7%97.6%2.3%0%0%0%0%8
98.8%98.8%1.2%0%0%0%0%9
99.4%99.4%0.6%0%0%0%0%10
99.7%99.7%0.3%0%0%0%0%11
99.9%99.8%0.1%0%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.1s (38.5%)

Results
659.0ms5759×body256valid
366.0ms2051×body512valid
91.0ms446×body1024valid
Bogosity

preprocess21.0ms (0.7%)

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
0713
11213
21813
32613
43613
55413
69113
712513
817113
920713
1023313
1123513
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 1 x)))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify11.0ms (0.4%)

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
0713
11213
21813
32613
43613
55413
69113
712513
817113
920713
1023313
1123513
Stop Event
1×saturated
Counts
1 → 4
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 1 x)))

eval1.0ms (0%)

Compiler

Compiled 37 to 29 computations (21.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New314
Fresh011
Picked000
Done000
Total325
Error
15.6b
Counts
5 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶15.6b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 10 to 8 computations (20% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓2.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 23 to 17 computations (26.1% saved)

series18.0ms (0.6%)

Counts
2 → 0
Calls

6 calls:

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

Compiled 1610 to 1345 computations (16.5% saved)

rewrite51.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
957×pow1_binary64
896×log1p-expm1-u_binary64
896×expm1-log1p-u_binary64
895×add-log-exp_binary64
89×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
116820
2260420
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(/.f64 1 (+.f64 x 1))
Outputs
((#(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 (+.f64 1 x)) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.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 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (+.f64 1 x)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (-.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x)) (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x (+.f64 1 x))) (neg.f64 (*.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))) (neg.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 -1 (neg.f64 x)) 1)) (*.f64 (+.f64 -1 (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (+.f64 -1 (neg.f64 x)) -1)) (*.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (/.f64 -1 x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))))

simplify57.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
586×fma-def_binary64
416×associate-/l*_binary64
338×associate-/r*_binary64
270×unswap-sqr_binary64
218×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01731083
14691041
21697859
37645859
Stop Event
1×node limit
Counts
67 → 90
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 -1 x) 1))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (+.f64 1 x)))
(*.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))
(*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(*.f64 (-.f64 x (+.f64 1 x)) (/.f64 (/.f64 1 (+.f64 1 x)) x))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (-.f64 x (+.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x)) (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))))
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))
(/.f64 (neg.f64 (-.f64 x (+.f64 1 x))) (neg.f64 (*.f64 x (+.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))) (neg.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 -1 (neg.f64 x)) 1)) (*.f64 (+.f64 -1 (neg.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (+.f64 -1 (neg.f64 x)) -1)) (*.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))
(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
(pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 x))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (/.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 1 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))
(pow.f64 (/.f64 1 (+.f64 1 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)
(pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)
(pow.f64 (+.f64 1 x) -1)
(sqrt.f64 (pow.f64 (+.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
(exp.f64 (neg.f64 (log1p.f64 x)))
Outputs
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 -1 x) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 x) (/.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 x) (pow.f64 x -1))))
(+.f64 (/.f64 -1 (fma.f64 x x x)) (*.f64 (/.f64 -1 x) 0))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -1 x) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x))))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (pow.f64 x -1))))
(fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (+.f64 (/.f64 -1 (fma.f64 x x x)) (pow.f64 x -1)))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 x) (/.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 x) (pow.f64 x -1))))
(+.f64 (/.f64 -1 (fma.f64 x x x)) (*.f64 (/.f64 -1 x) 0))
(+.f64 (/.f64 -1 x) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(*.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (-.f64 x (+.f64 1 x)) (/.f64 (/.f64 1 (+.f64 1 x)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (+.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (/.f64 1 (fma.f64 x x x)) (pow.f64 x -2))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 x -1)))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2)) (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(/.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (-.f64 x (+.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x)) (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (+.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (/.f64 1 (fma.f64 x x x)) (pow.f64 x -2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 x -1)))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2)) (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 1 x))))
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (+.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (/.f64 1 (fma.f64 x x x)) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 x -1)))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2)) (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 1 x))))
(/.f64 (neg.f64 (-.f64 x (+.f64 1 x))) (neg.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (+.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (/.f64 1 (fma.f64 x x x)) (pow.f64 x -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))) (neg.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 x -1)))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2)) (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 1 x))))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 -1 (neg.f64 x)) 1)) (*.f64 (+.f64 -1 (neg.f64 x)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (neg.f64 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (+.f64 -1 (neg.f64 x)) -1)) (*.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (*.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) (/.f64 1 (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (/.f64 -1 (pow.f64 x 3))) (fma.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (/.f64 -1 (pow.f64 x 3))) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (/.f64 1 (fma.f64 x x x)) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 x -1)))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2)) (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3) 1/3)
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 3)
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2)
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 2))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (cbrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (fma.f64 x x x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 1 x))
(*.f64 1 (/.f64 1 (+.f64 1 x)))
(/.f64 1 (+.f64 1 x))
(*.f64 (/.f64 1 (+.f64 1 x)) 1)
(/.f64 1 (+.f64 1 x))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (cbrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1 (+.f64 1 x))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))
(/.f64 1 (+.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))
(/.f64 1 (+.f64 1 x))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) -2)
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 1 (fma.f64 x x (-.f64 1 x))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3)))
(/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (+.f64 x -1) (fma.f64 x x -1))
(pow.f64 (/.f64 1 (+.f64 1 x)) 1)
(/.f64 1 (+.f64 1 x))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)
(/.f64 1 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)
(/.f64 1 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 x) -3))
(pow.f64 (+.f64 1 x) -1)
(/.f64 1 (+.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 1 x) -2))
(/.f64 1 (+.f64 1 x))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 1 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 1 x))
(exp.f64 (neg.f64 (log1p.f64 x)))

eval31.0ms (1%)

Compiler

Compiled 1461 to 1126 computations (22.9% saved)

prune12.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New88290
Fresh000
Picked011
Done000
Total88391
Error
0.5b
Counts
91 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶14.8b
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
▶0.5b
(/.f64 -1 (fma.f64 x x x))
✓15.6b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 29 to 20 computations (31% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.5b
(/.f64 -1 (fma.f64 x x x))
Compiler

Compiled 13 to 5 computations (61.5% saved)

series8.0ms (0.3%)

Counts
1 → 0
Calls

3 calls:

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

Compiled 880 to 745 computations (15.3% saved)

rewrite35.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
466×pow1_binary64
449×add-sqr-sqrt_binary64
443×*-un-lft-identity_binary64
428×add-log-exp_binary64
428×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
11008
211648
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 -1 (fma.f64 x x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x x x))) (sqrt.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 x x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 x x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (fma.f64 x x x))))))))

simplify42.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
759×log-div_binary64
510×associate-/l/_binary64
361×log-prod_binary64
317×associate-/r*_binary64
270×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045293
1107233
2342172
31882170
47663170
Stop Event
1×node limit
Counts
21 → 26
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 -1 (fma.f64 x x x))) 1)
(*.f64 -1 (/.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 -1 (fma.f64 x x x)) 1)
(*.f64 1 (/.f64 -1 (fma.f64 x x x)))
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 2))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 x x x))))
(*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x x x))) (sqrt.f64 (/.f64 -1 (fma.f64 x x x))))
(*.f64 (/.f64 1 (fma.f64 x x x)) -1)
(pow.f64 (/.f64 -1 (fma.f64 x x x)) 1)
(pow.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3) 1/3)
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 3)
(pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x x x))) 2)
(pow.f64 (neg.f64 (fma.f64 x x x)) -1)
(pow.f64 (*.f64 (fma.f64 x x x) -1) -1)
(neg.f64 (/.f64 1 (fma.f64 x x x)))
(sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 x x x) 2)))
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 x x x))))
(cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 x x x))))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 x x x))))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 x x x))))
Outputs
(-.f64 (+.f64 1 (/.f64 -1 (fma.f64 x x x))) 1)
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(*.f64 -1 (/.f64 1 (fma.f64 x x x)))
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 -1 (fma.f64 x x x)) 1)
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(*.f64 1 (/.f64 -1 (fma.f64 x x x)))
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 2))
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 x x x))))
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x x x))) (sqrt.f64 (/.f64 -1 (fma.f64 x x x))))
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 1 (fma.f64 x x x)) -1)
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (/.f64 -1 (fma.f64 x x x)) 1)
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 3)
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x x x))) 2)
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (neg.f64 (fma.f64 x x x)) -1)
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (*.f64 (fma.f64 x x x) -1) -1)
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(neg.f64 (/.f64 1 (fma.f64 x x x)))
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 x x x) 2)))
(sqrt.f64 (pow.f64 (neg.f64 (fma.f64 x x x)) -2))
(fabs.f64 (/.f64 -1 (fma.f64 x x x)))
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 x x x))))
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3))
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 x x x))))
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 x x x))))
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 x x x))))
(+.f64 1 (-.f64 (/.f64 -1 (fma.f64 x x x)) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
✓1.5b
(-.f64 x (+.f64 1 x))
Compiler

Compiled 27 to 17 computations (37% saved)

series12.0ms (0.4%)

Counts
2 → 0
Calls

6 calls:

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

Compiled 940 to 805 computations (14.4% saved)

rewrite61.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
467×log-prod_binary64
407×fma-def_binary64
364×exp-prod_binary64
294×pow-prod-down_binary64
226×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0723
116723
2274920
Stop Event
1×node limit
Counts
2 → 198
Calls
Call 1
Inputs
(-.f64 x (+.f64 1 x))
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (+.f64 (neg.f64 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (+.f64 (neg.f64 x) -1) 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (+.f64 (+.f64 (neg.f64 x) -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 x) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (cbrt.f64 (-.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (sqrt.f64 (-.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2)) (+.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 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simplify70.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
604×times-frac_binary64
580×distribute-rgt-in_binary64
519×distribute-lft-in_binary64
274×unswap-sqr_binary64
206×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04221386
110191386
234051386
Stop Event
1×node limit
Counts
198 → 199
Calls
Call 1
Inputs
(+.f64 x (+.f64 (neg.f64 x) -1))
(+.f64 x (*.f64 (+.f64 (neg.f64 x) -1) 1))
(+.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (+.f64 (neg.f64 x) -1) 1 (+.f64 x 1)))
(+.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
(+.f64 (-.f64 x (+.f64 x 1)) (+.f64 (+.f64 (neg.f64 x) -1) (+.f64 x 1)))
(+.f64 0 (-.f64 x (+.f64 x 1)))
(+.f64 (+.f64 (neg.f64 x) -1) x)
(+.f64 (+.f64 x -1) (neg.f64 x))
(+.f64 (+.f64 x -1) (*.f64 -1 x))
(+.f64 (+.f64 x -1) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(+.f64 (+.f64 x -1) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (+.f64 x 1))))))
(*.f64 1 (-.f64 x (+.f64 x 1)))
(*.f64 (-.f64 x (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (cbrt.f64 (-.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (sqrt.f64 (-.f64 x (+.f64 x 1))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 x (+.f64 x 1))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))))
(/.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2)) (+.f64 x (+.f64 x 1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2))) (neg.f64 (+.f64 x (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x (*.f64 (+.f64 x -1) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (neg.f64 x) -1) 3)) (fma.f64 x x (-.f64 (pow.f64 (+.f64 (neg.f64 x) -1) 2) (neg.f64 (fma.f64 x x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 x x)) (+.f64 (+.f64 x -1) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (neg.f64 x) -1) 2)) (-.f64 x (+.f64 (neg.f64 x) -1)))
(pow.f64 (-.f64 x (+.f64 x 1)) 1)
(pow.f64 (E.f64) (log.f64 (-.f64 x (+.f64 x 1))))
(pow.f64 (pow.f64 (-.f64 x (+.f64 x 1)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 x (+.f64 x 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) 2)
(pow.f64 (/.f64 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) -1)
(pow.f64 (/.f64 (+.f64 x (+.f64 x 1)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (+.f64 x 1)))) 2)) (cbrt.f64 (log.f64 (-.f64 x (+.f64 x 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 x (+.f64 x 1))))) (sqrt.f64 (log.f64 (-.f64 x (+.f64 x 1)))))
(sqrt.f64 (pow.f64 (-.f64 x (+.f64 x 1)) 2))
(log.f64 (exp.f64 (-.f64 x (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (+.f64 x 1)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x 1))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(log.f64 (/.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 (neg.f64 x) -1))))
(log.f64 (*.f64 (exp.f64 (+.f64 (neg.f64 x) -1)) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 x (+.f64 x 1)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (+.f64 x 1))))
(log1p.f64 (expm1.f64 (-.f64 x (+.f64 x 1))))
(exp.f64 (log.f64 (-.f64 x (+.f64 x 1))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (+.f64 x 1))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (+.f64 x 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x (+.f64 x 1)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (+.f64 x 1)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x (+.f64 x 1))) 1) 1))
(fma.f64 x 1 (+.f64 (neg.f64 x) -1))
(fma.f64 x 1 (*.f64 (+.f64 (neg.f64 x) -1) 1))
(fma.f64 1 x (+.f64 (neg.f64 x) -1))
(fma.f64 1 x (*.f64 (+.f64 (neg.f64 x) -1) 1))
(fma.f64 1 (-.f64 x (+.f64 x 1)) (fma.f64 (+.f64 (neg.f64 x) -1) 1 (+.f64 x 1)))
(fma.f64 1 (-.f64 x (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
(fma.f64 1 (-.f64 x (+.f64 x 1)) (+.f64 (+.f64 (neg.f64 x) -1) (+.f64 x 1)))
(fma.f64 1 (+.f64 (neg.f64 x) -1) x)
(fma.f64 1 (+.f64 x -1) (neg.f64 x))
(fma.f64 1 (+.f64 x -1) (*.f64 -1 x))
(fma.f64 1 (+.f64 x -1) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(fma.f64 1 (+.f64 x -1) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (-.f64 x (+.f64 x 1)) 1 (fma.f64 (+.f64 (neg.f64 x) -1) 1 (+.f64 x 1)))
(fma.f64 (-.f64 x (+.f64 x 1)) 1 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
(fma.f64 (-.f64 x (+.f64 x 1)) 1 (+.f64 (+.f64 (neg.f64 x) -1) (+.f64 x 1)))
(fma.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (fma.f64 (+.f64 (neg.f64 x) -1) 1 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
(fma.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (+.f64 (+.f64 (neg.f64 x) -1) (+.f64 x 1)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (cbrt.f64 (-.f64 x (+.f64 x 1))) (fma.f64 (+.f64 (neg.f64 x) -1) 1 (+.f64 x 1)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (cbrt.f64 (-.f64 x (+.f64 x 1))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (cbrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 (+.f64 (neg.f64 x) -1) (+.f64 x 1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 (neg.f64 x) -1))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (+.f64 (neg.f64 x) -1) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (neg.f64 x) -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (+.f64 (neg.f64 x) -1) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (+.f64 (neg.f64 x) -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 (+.f64 (neg.f64 x) -1) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (neg.f64 (cbrt.f64 (+.f64 x 1))) x)
(fma.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (sqrt.f64 (-.f64 x (+.f64 x 1))) (fma.f64 (+.f64 (neg.f64 x) -1) 1 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (sqrt.f64 (-.f64 x (+.f64 x 1))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
(fma.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (sqrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 (+.f64 (neg.f64 x) -1) (+.f64 x 1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (neg.f64 x) -1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (+.f64 (neg.f64 x) -1) 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (+.f64 (neg.f64 x) -1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (+.f64 (neg.f64 x) -1) 1))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (+.f64 x 1))) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))) (fma.f64 (+.f64 (neg.f64 x) -1) 1 (+.f64 x 1)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))) (+.f64 (+.f64 (neg.f64 x) -1) (+.f64 x 1)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 x (+.f64 x 1))) (fma.f64 (+.f64 (neg.f64 x) -1) 1 (+.f64 x 1)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 x (+.f64 x 1))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 x (+.f64 x 1))) (+.f64 (+.f64 (neg.f64 x) -1) (+.f64 x 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 x) -1)) 2) (cbrt.f64 (+.f64 (neg.f64 x) -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (*.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (neg.f64 x) -1)) (sqrt.f64 (+.f64 (neg.f64 x) -1)) x)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (neg.f64 x))
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (*.f64 -1 x))
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) x)
(fma.f64 -1 (+.f64 x 1) x)
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (neg.f64 x))
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (*.f64 -1 x))
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (fma.f64 (+.f64 (neg.f64 x) -1) 1 (+.f64 x 1)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (+.f64 (+.f64 (neg.f64 x) -1) (+.f64 x 1)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) x)
(+.f64 0 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (neg.f64 (/.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))))
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) 1)
(-.f64 (/.f64 (+.f64 x -1) (fma.f64 x x x)) (/.f64 1 (+.f64 x 1)))
(*.f64 1 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))
(*.f64 (-.f64 x (+.f64 x 1)) (/.f64 1 (fma.f64 x x x)))
(*.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (/.f64 1 (fma.f64 x x x))))
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 2) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (/.f64 1 (fma.f64 x x x))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(*.f64 (neg.f64 (-.f64 x (+.f64 x 1))) (/.f64 1 (neg.f64 (fma.f64 x x x))))
(*.f64 (/.f64 1 (+.f64 x 1)) (-.f64 1 (/.f64 (+.f64 x 1) x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)))
(*.f64 (/.f64 1 (fma.f64 x x x)) (-.f64 x (+.f64 x 1)))
(*.f64 (-.f64 1 (/.f64 (+.f64 x 1) x)) (/.f64 1 (+.f64 x 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (fma.f64 x x x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) 1) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (fma.f64 x x x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) x) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) -2) (/.f64 (-.f64 x (+.f64 x 1)) (cbrt.f64 (fma.f64 x x x))))
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) x) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (+.f64 x 1)) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (cbrt.f64 (fma.f64 x x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (hypot.f64 x (sqrt.f64 x))) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 x 1) x)) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))
(*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 x 1) x)) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 2)
(pow.f64 (/.f64 (fma.f64 x x x) (-.f64 x (+.f64 x 1))) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 x (+.f64 x 1)) 3) (pow.f64 (fma.f64 x x x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 x x x) (-.f64 x (+.f64 x 1))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))) (sqrt.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))))
(neg.f64 (/.f64 (-.f64 x (+.f64 x 1)) (neg.f64 (fma.f64 x x x))))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x (+.f64 x 1)) 3) (pow.f64 (fma.f64 x x x) 3)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x x) (-.f64 x (+.f64 x 1)))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 1) 1))
(fma.f64 x (/.f64 1 (fma.f64 x x x)) (neg.f64 (/.f64 1 x)))
(fma.f64 1 (/.f64 1 (+.f64 x 1)) (neg.f64 (/.f64 1 x)))
(fma.f64 (/.f64 1 (+.f64 x 1)) 1 (neg.f64 (/.f64 1 x)))
(fma.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)) (neg.f64 (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) 2) (cbrt.f64 (/.f64 1 (+.f64 x 1))) (neg.f64 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (sqrt.f64 (/.f64 1 (+.f64 x 1))) (neg.f64 (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) -2) (/.f64 x (cbrt.f64 (fma.f64 x x x))) (neg.f64 (/.f64 1 x)))
(fma.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 x (hypot.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) (neg.f64 (/.f64 1 x)))
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (+.f64 x 1)) (neg.f64 (/.f64 1 x)))
(fma.f64 (/.f64 (sqrt.f64 x) (+.f64 x 1)) (pow.f64 x -1/2) (neg.f64 (/.f64 1 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x x)) (neg.f64 (/.f64 1 x)))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x x)) (neg.f64 (/.f64 1 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)) (/.f64 (cbrt.f64 x) x) (neg.f64 (/.f64 1 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x x))) (neg.f64 (/.f64 1 x)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x x))) (neg.f64 (/.f64 1 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 x (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 1 x)))
(fma.f64 (/.f64 (sqrt.f64 x) (hypot.f64 x (sqrt.f64 x))) (/.f64 (sqrt.f64 x) (hypot.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 1 x)))
Outputs
(+.f64 x (+.f64 (neg.f64 x) -1))
(-.f64 (+.f64 x -1) x)
(+.f64 x (*.f64 (+.f64 (neg.f64 x) -1) 1))
(-.f64 (+.f64 x -1) x)
(+.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (+.f64 (neg.f64 x) -1) 1 (+.f64 x 1)))
(-.f64 (+.f64 x -1) x)
(+.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
(-.f64 (+.f64 x -1) x)
(+.f64 (-.f64 x (+.f64 x 1)) (+.f64 (+.f64 (neg.f64 x) -1) (+.f64 x 1)))
(-.f64 (+.f64 x -1) x)
(+.f64 0 (-.f64 x (+.f64 x 1)))
(-.f64 (+.f64 x -1) x)
(+.f64 (+.f64 (neg.f64 x) -1) x)
(-.f64 (+.f64 x -1) x)
(+.f64 (+.f64 x -1) (neg.f64 x))
(-.f64 (+.f64 x -1) x)
(+.f64 (+.f64 x -1) (*.f64 -1 x))
(-.f64 (+.f64 x -1) x)
(+.f64 (+.f64 x -1) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(-.f64 (+.f64 x -1) x)
(+.f64 (+.f64 x -1) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (+.f64 x -1) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (+.f64 x 1))))))
(-.f64 (+.f64 x -1) x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (+.f64 x 1))))))
(-.f64 (+.f64 x -1) x)
(*.f64 1 (-.f64 x (+.f64 x 1)))
(-.f64 (+.f64 x -1) x)
(*.f64 (-.f64 x (+.f64 x 1)) 1)
(-.f64 (+.f64 x -1) x)
(*.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2))
(-.f64 (+.f64 x -1) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (cbrt.f64 (-.f64 x (+.f64 x 1))))
(-.f64 (+.f64 x -1) x)
(*.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (sqrt.f64 (-.f64 x (+.f64 x 1))))
(-.f64 (+.f64 x -1) x)
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(-.f64 (+.f64 x -1) x)
(*.f64 (/.f64 1 (+.f64 x 1)) (-.f64 1 (/.f64 (+.f64 x 1) x)))
(-.f64 (+.f64 x -1) x)
(*.f64 (/.f64 1 x) (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)))
(-.f64 (+.f64 x -1) x)
(*.f64 (/.f64 1 (fma.f64 x x x)) (-.f64 x (+.f64 x 1)))
(-.f64 (+.f64 x -1) x)
(*.f64 (-.f64 1 (/.f64 (+.f64 x 1) x)) (/.f64 1 (+.f64 x 1)))
(-.f64 (+.f64 x -1) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (fma.f64 x x x)))
(-.f64 (+.f64 x -1) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) 1) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (fma.f64 x x x)))
(-.f64 (+.f64 x -1) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) x) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)))
(-.f64 (+.f64 x -1) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) -2) (/.f64 (-.f64 x (+.f64 x 1)) (cbrt.f64 (fma.f64 x x x))))
(-.f64 (+.f64 x -1) x)
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x -1) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) x) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)))
(-.f64 (+.f64 x -1) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) x))
(-.f64 (+.f64 x -1) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (+.f64 x 1)) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) x))
(-.f64 (+.f64 x -1) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(-.f64 (+.f64 x -1) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (cbrt.f64 (fma.f64 x x x))))
(-.f64 (+.f64 x -1) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (hypot.f64 x (sqrt.f64 x))) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x -1) x)
(*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 x 1) x)) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))
(-.f64 (+.f64 x -1) x)
(*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 x 1) x)) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(-.f64 (+.f64 x -1) x)
(pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 1)
(-.f64 (+.f64 x -1) x)
(pow.f64 (E.f64) (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(-.f64 (+.f64 x -1) x)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 2) 1/2)
(-.f64 (+.f64 x -1) x)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 3) 1/3)
(-.f64 (+.f64 x -1) x)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 3)
(-.f64 (+.f64 x -1) x)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 2)
(-.f64 (+.f64 x -1) x)
(pow.f64 (/.f64 (fma.f64 x x x) (-.f64 x (+.f64 x 1))) -1)
(-.f64 (+.f64 x -1) x)
(pow.f64 (/.f64 (pow.f64 (-.f64 x (+.f64 x 1)) 3) (pow.f64 (fma.f64 x x x) 3)) 1/3)
(-.f64 (+.f64 x -1) x)
(pow.f64 (/.f64 (/.f64 (fma.f64 x x x) (-.f64 x (+.f64 x 1))) 1) -1)
(-.f64 (+.f64 x -1) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))))
(-.f64 (+.f64 x -1) x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))) (sqrt.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))))
(-.f64 (+.f64 x -1) x)
(neg.f64 (/.f64 (-.f64 x (+.f64 x 1)) (neg.f64 (fma.f64 x x x))))
(-.f64 (+.f64 x -1) x)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 2))
(-.f64 (+.f64 x -1) x)
(log.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(-.f64 (+.f64 x -1) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))))
(-.f64 (+.f64 x -1) x)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 3))
(-.f64 (+.f64 x -1) x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x (+.f64 x 1)) 3) (pow.f64 (fma.f64 x x x) 3)))
(-.f64 (+.f64 x -1) x)
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(-.f64 (+.f64 x -1) x)
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(-.f64 (+.f64 x -1) x)
(exp.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(-.f64 (+.f64 x -1) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 1))
(-.f64 (+.f64 x -1) x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) 1/3))
(-.f64 (+.f64 x -1) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) 3))
(-.f64 (+.f64 x -1) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) 2))
(-.f64 (+.f64 x -1) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x x) (-.f64 x (+.f64 x 1)))) -1))
(-.f64 (+.f64 x -1) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 1) 1))
(-.f64 (+.f64 x -1) x)
(fma.f64 x (/.f64 1 (fma.f64 x x x)) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 1 (/.f64 1 (+.f64 x 1)) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (/.f64 1 (+.f64 x 1)) 1 (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) 2) (cbrt.f64 (/.f64 1 (+.f64 x 1))) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (sqrt.f64 (/.f64 1 (+.f64 x 1))) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) -2) (/.f64 x (cbrt.f64 (fma.f64 x x x))) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 x (hypot.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (+.f64 x 1)) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (/.f64 (sqrt.f64 x) (+.f64 x 1)) (pow.f64 x -1/2) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x x)) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x x)) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)) (/.f64 (cbrt.f64 x) x) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x x))) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x x))) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 x (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)
(fma.f64 (/.f64 (sqrt.f64 x) (hypot.f64 x (sqrt.f64 x))) (/.f64 (sqrt.f64 x) (hypot.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 x -1) x)

eval85.0ms (2.9%)

Compiler

Compiled 4026 to 2657 computations (34% saved)

prune33.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2232225
Fresh000
Picked011
Done022
Total2235228
Error
0.5b
Counts
228 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓14.8b
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
✓0.5b
(/.f64 -1 (fma.f64 x x x))
✓15.6b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
▶41.4b
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))
▶14.8b
(*.f64 (/.f64 1 x) (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)))
Compiler

Compiled 61 to 41 computations (32.8% saved)

localize14.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))
✓0.0b
(*.f64 (/.f64 1 x) (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)))
✓1.5b
(-.f64 x (+.f64 x 1))
Compiler

Compiled 36 to 24 computations (33.3% saved)

series17.0ms (0.6%)

Counts
3 → 0
Calls

9 calls:

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

Compiled 1570 to 1305 computations (16.9% saved)

rewrite63.0ms (2.2%)

Algorithm
3×egg-rewrite-iter-limit
3×egg-rewrite
1×batch-egg-rewrite
Rules
100×add-sqr-sqrt_binary64
100×add-sqr-sqrt_binary64
97×*-un-lft-identity_binary64
97×pow1_binary64
97×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
119330
2398230
057
11157
218897
057
0816
119316
2398116
0816
0613
114313
2284613
0613
Stop Event
1×iter limit
1×unsound
1×iter limit
1×unsound
1×iter limit
1×unsound
1×unsound
Counts
3 → 32
Calls
Call 1
Inputs
(-.f64 x (+.f64 x 1))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)))
(/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (cbrt.f64 (-.f64 x (+.f64 x 1)))) (cbrt.f64 (-.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (sqrt.f64 (-.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x x) (+.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 x 1) (+.f64 x 1))) (+.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (-.f64 x (+.f64 x 1)) (-.f64 x (+.f64 x 1))) (-.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (+.f64 x 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) (-.f64 x (+.f64 1 x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x) (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)) (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))) (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)))) (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))) (sqrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)) (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))) (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))))))

simplify39.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
474×times-frac_binary64
461×associate-*l/_binary64
392×distribute-rgt-in_binary64
375×distribute-lft-in_binary64
311×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083374
1218212
21050205
37090205
Stop Event
1×node limit
Counts
32 → 45
Calls
Call 1
Inputs
(+.f64 x (neg.f64 (+.f64 x 1)))
(*.f64 1 (-.f64 x (+.f64 x 1)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (cbrt.f64 (-.f64 x (+.f64 x 1)))) (cbrt.f64 (-.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (sqrt.f64 (-.f64 x (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x x) (+.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 x 1) (+.f64 x 1))) (+.f64 x (+.f64 x 1)))
(pow.f64 (-.f64 x (+.f64 x 1)) 1)
(log.f64 (exp.f64 (-.f64 x (+.f64 x 1))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 x (+.f64 x 1)) (-.f64 x (+.f64 x 1))) (-.f64 x (+.f64 x 1))))
(expm1.f64 (log1p.f64 (-.f64 x (+.f64 x 1))))
(log1p.f64 (expm1.f64 (-.f64 x (+.f64 x 1))))
(exp.f64 (log.f64 (-.f64 x (+.f64 x 1))))
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
(/.f64 (*.f64 (/.f64 1 x) (-.f64 x (+.f64 1 x))) (+.f64 1 x))
(pow.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x) 1)
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x) (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)) (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))
(*.f64 1 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)))
(*.f64 (-.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x 1)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))) (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)))) (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))) (sqrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))
(pow.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)) 1)
(log.f64 (exp.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)) (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))) (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))
(exp.f64 (log.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))
Outputs
(+.f64 x (neg.f64 (+.f64 x 1)))
(-.f64 x (+.f64 x 1))
-1
(*.f64 1 (-.f64 x (+.f64 x 1)))
(-.f64 x (+.f64 x 1))
-1
(*.f64 (*.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (cbrt.f64 (-.f64 x (+.f64 x 1)))) (cbrt.f64 (-.f64 x (+.f64 x 1))))
(-.f64 x (+.f64 x 1))
-1
(*.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (sqrt.f64 (-.f64 x (+.f64 x 1))))
(-.f64 x (+.f64 x 1))
-1
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x x) (+.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 x x (*.f64 (+.f64 x 1) (fma.f64 2 x 1))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 x 1) (+.f64 x 1))) (+.f64 x (+.f64 x 1)))
(/.f64 (*.f64 -1 (+.f64 x (+.f64 x 1))) (+.f64 x (+.f64 x 1)))
(/.f64 (neg.f64 (fma.f64 2 x 1)) (fma.f64 2 x 1))
(pow.f64 (-.f64 x (+.f64 x 1)) 1)
(-.f64 x (+.f64 x 1))
-1
(log.f64 (exp.f64 (-.f64 x (+.f64 x 1))))
(-.f64 x (+.f64 x 1))
-1
(cbrt.f64 (*.f64 (*.f64 (-.f64 x (+.f64 x 1)) (-.f64 x (+.f64 x 1))) (-.f64 x (+.f64 x 1))))
(cbrt.f64 (*.f64 (-.f64 x (+.f64 x 1)) (*.f64 (-.f64 x (+.f64 x 1)) (-.f64 x (+.f64 x 1)))))
(cbrt.f64 -1)
(expm1.f64 (log1p.f64 (-.f64 x (+.f64 x 1))))
(-.f64 x (+.f64 x 1))
-1
(log1p.f64 (expm1.f64 (-.f64 x (+.f64 x 1))))
(-.f64 x (+.f64 x 1))
-1
(exp.f64 (log.f64 (-.f64 x (+.f64 x 1))))
(-.f64 x (+.f64 x 1))
-1
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
(/.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) x)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
(/.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) x)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (*.f64 (/.f64 1 x) (-.f64 x (+.f64 1 x))) (+.f64 1 x))
(/.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) x)
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x) 1)
(/.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) x)
(/.f64 -1 (fma.f64 x x x))
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))
(/.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) x)
(/.f64 -1 (fma.f64 x x x))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x) (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)) (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))
(/.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) x)
(/.f64 -1 (fma.f64 x x x))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))
(/.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) x)
(/.f64 -1 (fma.f64 x x x))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))
(/.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) x)
(/.f64 -1 (fma.f64 x x x))
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))
(/.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) x)
(/.f64 -1 (fma.f64 x x x))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 x 1)) -1)
(/.f64 -1 (+.f64 x 1))
(*.f64 1 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 x 1)) -1)
(/.f64 -1 (+.f64 x 1))
(*.f64 (-.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 x 1)) -1)
(/.f64 -1 (+.f64 x 1))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))) (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)))) (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) -1)
(/.f64 -1 (+.f64 x 1))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))) (sqrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) -1)
(/.f64 -1 (+.f64 x 1))
(pow.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)) 1)
(+.f64 (/.f64 x (+.f64 x 1)) -1)
(/.f64 -1 (+.f64 x 1))
(log.f64 (exp.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) -1)
(/.f64 -1 (+.f64 x 1))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)) (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))) (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) -1)
(/.f64 -1 (+.f64 x 1))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) -1)
(/.f64 -1 (+.f64 x 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) -1)
(/.f64 -1 (+.f64 x 1))
(exp.f64 (log.f64 (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) -1)
(/.f64 -1 (+.f64 x 1))

localize22.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))
✓0.1b
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))
1.5b
(-.f64 x (+.f64 x 1))
✓14.0b
(pow.f64 (fma.f64 x x x) -1/2)
Compiler

Compiled 55 to 24 computations (56.4% saved)

series133.0ms (4.5%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))
2.0ms
x
@0
(/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))
2.0ms
x
@0
(pow.f64 (fma.f64 x x x) -1/2)
1.0ms
x
@inf
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))
1.0ms
x
@-inf
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))
Compiler

Compiled 10135 to 8460 computations (16.5% saved)

rewrite75.0ms (2.6%)

Algorithm
2×egg-rewrite-iter-limit
3×egg-rewrite
1×batch-egg-rewrite
Rules
463×pow1_binary64
452×add-sqr-sqrt_binary64
440×*-un-lft-identity_binary64
432×add-log-exp_binary64
432×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241
127441
2433041
058
11068
211848
01225
127425
2433025
01225
0815
118515
2313915
0815
Stop Event
1×iter limit
1×unsound
1×iter limit
1×unsound
1×node limit
1×unsound
Counts
3 → 33
Calls
Call 1
Inputs
(pow.f64 (fma.f64 x x x) -1/2)
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 x x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)) (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) -1/4) (pow.f64 (fma.f64 x x x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 x x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1/2) (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (-.f64 (-.f64 x x) 1)) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x)))) (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))) (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (hypot.f64 x (sqrt.f64 x))) (/.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (+.f64 x 1)) (/.f64 1 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))) (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))))))

simplify41.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
609×times-frac_binary64
476×fma-def_binary64
371×distribute-rgt-neg-out_binary64
191×log-prod_binary64
189×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088464
1198424
2684391
33660391
Stop Event
1×node limit
Counts
33 → 42
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) -1/2)) 1)
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) 1)
(*.f64 1 (pow.f64 (fma.f64 x x x) -1/2))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)) (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)))
(*.f64 (pow.f64 (fma.f64 x x x) -1/4) (pow.f64 (fma.f64 x x x) -1/4))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 x x x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) -1/2))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1/2) (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1/2))
(sqrt.f64 (pow.f64 (fma.f64 x x x) -1))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x x x) -1/2)))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x x) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x x) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x x x))))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (-.f64 (-.f64 x x) 1)) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x)))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x)))) (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))) (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (/.f64 x (hypot.f64 x (sqrt.f64 x))) (/.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))
(*.f64 1 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (-.f64 x (+.f64 x 1)) (/.f64 1 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))) (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))
(pow.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))) 1)
(log.f64 (exp.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (log.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))
Outputs
(-.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) -1/2)) 1)
(+.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) -1/2)) -1)
(+.f64 (pow.f64 (fma.f64 x x x) -1/2) 0)
(pow.f64 (fma.f64 x x x) -1/2)
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) 1)
(+.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) -1/2)) -1)
(+.f64 (pow.f64 (fma.f64 x x x) -1/2) 0)
(pow.f64 (fma.f64 x x x) -1/2)
(*.f64 1 (pow.f64 (fma.f64 x x x) -1/2))
(+.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) -1/2)) -1)
(+.f64 (pow.f64 (fma.f64 x x x) -1/2) 0)
(pow.f64 (fma.f64 x x x) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 x x x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)) (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 x x x))))
(*.f64 (pow.f64 (fma.f64 x x x) -1/4) (pow.f64 (fma.f64 x x x) -1/4))
(+.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) -1/2)) -1)
(+.f64 (pow.f64 (fma.f64 x x x) -1/2) 0)
(pow.f64 (fma.f64 x x x) -1/2)
(*.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 x x x) -1/2))
(+.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) -1/2)) -1)
(+.f64 (pow.f64 (fma.f64 x x x) -1/2) 0)
(pow.f64 (fma.f64 x x x) -1/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) -1/2))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1/2) (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1/2))
(pow.f64 (hypot.f64 x (sqrt.f64 x)) -1)
(/.f64 1 (hypot.f64 x (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 x x x) -1))
(+.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) -1/2)) -1)
(+.f64 (pow.f64 (fma.f64 x x x) -1/2) 0)
(pow.f64 (fma.f64 x x x) -1/2)
(log.f64 (exp.f64 (pow.f64 (fma.f64 x x x) -1/2)))
(+.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) -1/2)) -1)
(+.f64 (pow.f64 (fma.f64 x x x) -1/2) 0)
(pow.f64 (fma.f64 x x x) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 3))
(+.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) -1/2)) -1)
(+.f64 (pow.f64 (fma.f64 x x x) -1/2) 0)
(pow.f64 (fma.f64 x x x) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x x) -1/2)))
(+.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) -1/2)) -1)
(+.f64 (pow.f64 (fma.f64 x x x) -1/2) 0)
(pow.f64 (fma.f64 x x x) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x x) -1/2)))
(+.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) -1/2)) -1)
(+.f64 (pow.f64 (fma.f64 x x x) -1/2) 0)
(pow.f64 (fma.f64 x x x) -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x x x))))
(+.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) -1/2)) -1)
(+.f64 (pow.f64 (fma.f64 x x x) -1/2) 0)
(pow.f64 (fma.f64 x x x) -1/2)
(/.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (-.f64 (-.f64 x x) 1)) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x)))) 1)
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x)))) (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))) (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 (-.f64 x x) 1) (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 x (hypot.f64 x (sqrt.f64 x))) (/.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(*.f64 1 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(*.f64 (-.f64 x (+.f64 x 1)) (/.f64 1 (hypot.f64 x (sqrt.f64 x))))
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))) (cbrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))) 1)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(log.f64 (exp.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(exp.f64 (log.f64 (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))

eval35.0ms (1.2%)

Compiler

Compiled 2233 to 1248 computations (44.1% saved)

prune13.0ms (0.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1053108
Fresh000
Picked101
Done134
Total1076113
Error
0.0b
Counts
113 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓14.8b
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
▶33.9b
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
✓0.5b
(/.f64 -1 (fma.f64 x x x))
✓15.6b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
▶34.0b
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
▶0.1b
(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))
Compiler

Compiled 66 to 45 computations (31.8% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 18 computations (25% saved)

series13.0ms (0.5%)

Counts
2 → 0
Calls

6 calls:

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

Compiled 1510 to 1245 computations (17.5% saved)

rewrite50.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
890×pow1_binary64
829×add-log-exp_binary64
829×log1p-expm1-u_binary64
829×expm1-log1p-u_binary64
813×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117417
2233317
Stop Event
1×node limit
Counts
2 → 69
Calls
Call 1
Inputs
(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))
(/.f64 -1 (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (*.f64 (+.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (+.f64 -1 (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (+.f64 1 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 -1 (+.f64 1 x))))))) (#(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 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (*.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (+.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) (*.f64 (+.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 (+.f64 1 x) -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) 2) (/.f64 x (cbrt.f64 (/.f64 -1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (/.f64 x (sqrt.f64 (/.f64 -1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -1 (+.f64 1 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -1 x)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (+.f64 1 x)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 -1 (+.f64 1 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1 (+.f64 1 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1 x) 1) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 -1 (+.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) (/.f64 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log1p.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 -1) (log1p.f64 x)))))))

simplify52.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
655×fma-def_binary64
623×fma-neg_binary64
487×associate-*l/_binary64
391×associate-*r/_binary64
347×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01561041
1379753
21424561
37291560
Stop Event
1×node limit
Counts
69 → 85
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x)))) 1)
(/.f64 1 (neg.f64 (+.f64 x (*.f64 x x))))
(/.f64 1 (*.f64 x (+.f64 -1 (neg.f64 x))))
(/.f64 1 (*.f64 x (*.f64 (+.f64 1 x) -1)))
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x)))
(/.f64 1 (*.f64 (+.f64 -1 (neg.f64 x)) x))
(/.f64 1 (*.f64 (*.f64 (+.f64 1 x) -1) x))
(/.f64 1 (*.f64 (+.f64 1 x) (neg.f64 x)))
(/.f64 1 (/.f64 (+.f64 x (*.f64 x x)) -1))
(/.f64 1 (/.f64 x (/.f64 -1 (+.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 1 x) (/.f64 -1 x)))
(/.f64 (/.f64 1 x) (+.f64 -1 (neg.f64 x)))
(/.f64 (/.f64 1 x) (*.f64 (+.f64 1 x) -1))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (*.f64 (neg.f64 x) (+.f64 -1 (neg.f64 x))))
(/.f64 -1 (*.f64 (neg.f64 x) (*.f64 (+.f64 1 x) -1)))
(/.f64 -1 (*.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 x)))
(/.f64 -1 (*.f64 (*.f64 (+.f64 1 x) -1) (neg.f64 x)))
(/.f64 -1 (/.f64 x (/.f64 1 (+.f64 1 x))))
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) 2) (/.f64 x (cbrt.f64 (/.f64 -1 (+.f64 1 x)))))
(/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (/.f64 x (sqrt.f64 (/.f64 -1 (+.f64 1 x)))))
(/.f64 (/.f64 -1 x) (+.f64 1 x))
(/.f64 (neg.f64 (/.f64 -1 (+.f64 1 x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 -1 x)) (+.f64 -1 (neg.f64 x)))
(/.f64 (*.f64 (/.f64 -1 (+.f64 1 x)) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (/.f64 -1 (+.f64 1 x))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 -1 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 -1 (+.f64 1 x)) 1) x)
(/.f64 (/.f64 (/.f64 -1 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 -1 x) 1) (+.f64 1 x))
(/.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (/.f64 -1 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3) 1/3)
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2)
(sqrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 2))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 -1 (+.f64 1 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) (/.f64 (pow.f64 x -2) x)))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
(exp.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log1p.f64 x)))
(-.f64 (+.f64 1 (/.f64 -1 (+.f64 1 x))) 1)
(*.f64 1 (/.f64 -1 (+.f64 1 x)))
(*.f64 -1 (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 -1 (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 -1 (+.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 1 x)) -1)
(*.f64 (/.f64 -1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x -1))
(pow.f64 (/.f64 -1 (+.f64 1 x)) 1)
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) 2)
(pow.f64 (+.f64 -1 (neg.f64 x)) -1)
(pow.f64 (*.f64 (+.f64 1 x) -1) -1)
(neg.f64 (/.f64 1 (+.f64 1 x)))
(sqrt.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 1 x))))
(exp.f64 (-.f64 (log.f64 -1) (log1p.f64 x)))
Outputs
(-.f64 (+.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x)))) 1)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 1 (neg.f64 (+.f64 x (*.f64 x x))))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 1 (*.f64 x (+.f64 -1 (neg.f64 x))))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 1 (*.f64 x (*.f64 (+.f64 1 x) -1)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 1 (*.f64 (+.f64 -1 (neg.f64 x)) x))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 1 (*.f64 (*.f64 (+.f64 1 x) -1) x))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 1 (*.f64 (+.f64 1 x) (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 1 (/.f64 (+.f64 x (*.f64 x x)) -1))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 1 (/.f64 x (/.f64 -1 (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 1 (/.f64 (+.f64 1 x) (/.f64 -1 x)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (/.f64 1 x) (+.f64 -1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (/.f64 1 x) (*.f64 (+.f64 1 x) -1))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 -1 (*.f64 (neg.f64 x) (+.f64 -1 (neg.f64 x))))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 -1 (*.f64 (neg.f64 x) (*.f64 (+.f64 1 x) -1)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 -1 (*.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 -1 (*.f64 (*.f64 (+.f64 1 x) -1) (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 -1 (/.f64 x (/.f64 1 (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) 2) (/.f64 x (cbrt.f64 (/.f64 -1 (+.f64 1 x)))))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (/.f64 x (sqrt.f64 (/.f64 -1 (+.f64 1 x)))))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (/.f64 -1 x) (+.f64 1 x))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (neg.f64 (/.f64 -1 (+.f64 1 x))) (neg.f64 x))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (neg.f64 (/.f64 -1 x)) (+.f64 -1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (*.f64 (/.f64 -1 (+.f64 1 x)) -1) (neg.f64 x))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (*.f64 -1 (/.f64 -1 (+.f64 1 x))) (neg.f64 x))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (/.f64 (/.f64 -1 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (/.f64 (/.f64 -1 (+.f64 1 x)) 1) x)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (/.f64 (/.f64 -1 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (/.f64 (/.f64 -1 x) 1) (+.f64 1 x))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(/.f64 (/.f64 (/.f64 -1 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 -1 x) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 -1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))))
(pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(sqrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 2))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) (pow.f64 x 3)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 -1 (+.f64 1 x)) 3)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) (/.f64 (pow.f64 x -2) x)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1))
(+.f64 (/.f64 -1 (fma.f64 x x x)) 0)
(/.f64 -1 (fma.f64 x x x))
(exp.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log1p.f64 x)))
(/.f64 (/.f64 -1 x) (exp.f64 (log1p.f64 x)))
(/.f64 -1 (*.f64 (exp.f64 (log1p.f64 x)) x))
(-.f64 (+.f64 1 (/.f64 -1 (+.f64 1 x))) 1)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(*.f64 1 (/.f64 -1 (+.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(*.f64 -1 (/.f64 1 (+.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(*.f64 (/.f64 -1 (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) 2))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(*.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 -1 (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(*.f64 (/.f64 1 (+.f64 1 x)) -1)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(*.f64 (/.f64 -1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (neg.f64 (fma.f64 x x (-.f64 1 x))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 x (neg.f64 x) (+.f64 -1 x)) (+.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 -1 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 -1 x))
(/.f64 (-.f64 1 x) (fma.f64 x x -1))
(pow.f64 (/.f64 -1 (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) 3)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) 2)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(pow.f64 (+.f64 -1 (neg.f64 x)) -1)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(pow.f64 (*.f64 (+.f64 1 x) -1) -1)
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(neg.f64 (/.f64 1 (+.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(sqrt.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 2))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 -1 (+.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 1 x)) 0)
(/.f64 1 (-.f64 -1 x))
(exp.f64 (-.f64 (log.f64 -1) (log1p.f64 x)))
(/.f64 -1 (exp.f64 (log1p.f64 x)))

localize16.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
✓0.2b
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
14.0b
(pow.f64 (fma.f64 x x x) -1/2)
Compiler

Compiled 39 to 15 computations (61.5% saved)

series134.0ms (4.6%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
1.0ms
x
@0
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
0.0ms
x
@-inf
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
0.0ms
x
@inf
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
0.0ms
x
@-inf
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
Compiler

Compiled 9145 to 7680 computations (16% saved)

rewrite50.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
908×pow1_binary64
840×add-log-exp_binary64
839×log1p-expm1-u_binary64
839×expm1-log1p-u_binary64
820×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01028
121027
2237027
Stop Event
1×node limit
Counts
2 → 42
Calls
Call 1
Inputs
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x x x) -1/2) (*.f64 (hypot.f64 x (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 x (sqrt.f64 x)) (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1) 1) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1) (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1) (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 3) (pow.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 3) (pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (/.f64 -1 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 x (sqrt.f64 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))))))))

simplify43.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
688×log-prod_binary64
476×log-div_binary64
457×fma-def_binary64
405×times-frac_binary64
370×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090832
1214708
2807593
34758593
Stop Event
1×node limit
Counts
42 → 58
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) 1)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (*.f64 (hypot.f64 x (sqrt.f64 x)) -1))
(/.f64 1 (/.f64 (hypot.f64 x (sqrt.f64 x)) (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1)))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1) 1) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1) (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 (hypot.f64 x (sqrt.f64 x))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) 3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1) (/.f64 1 (fma.f64 x x x))))
(log.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 3) (pow.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 3) (pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 1 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))) 1)
(*.f64 -1 (/.f64 1 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1)
(*.f64 1 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 -1 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (/.f64 1 (fma.f64 x x x))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (/.f64 -1 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) -1)
(pow.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 3) 1/3)
(pow.f64 (/.f64 -1 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))) 2)
(pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) -1)
(pow.f64 (*.f64 (hypot.f64 x (sqrt.f64 x)) -1) -1)
(neg.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))))
(sqrt.f64 (/.f64 1 (fma.f64 x x x)))
(log.f64 (exp.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (log.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))))
Outputs
(-.f64 (+.f64 1 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) 1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (*.f64 (hypot.f64 x (sqrt.f64 x)) -1))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(/.f64 1 (/.f64 (hypot.f64 x (sqrt.f64 x)) (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1)))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1) 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1) (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (*.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (cbrt.f64 (fma.f64 x x x)))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1/2) -1) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) 3)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) 2)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x x) -1) (/.f64 1 (fma.f64 x x x))))
(sqrt.f64 (*.f64 (/.f64 1 (fma.f64 x x x)) (/.f64 1 (fma.f64 x x x))))
(sqrt.f64 (pow.f64 (fma.f64 x x x) -2))
(/.f64 1 (fma.f64 x x x))
(log.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 3))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 3) (pow.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 3)))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 3) (pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 3)))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(-.f64 (+.f64 1 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))) 1)
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(*.f64 -1 (/.f64 1 (hypot.f64 x (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(*.f64 1 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 -1 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (/.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) -1) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x)))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (/.f64 -1 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) -1) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x)))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) -1)
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (pow.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (/.f64 -1 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) 3)
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))) 2)
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) -1)
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (*.f64 (hypot.f64 x (sqrt.f64 x)) -1) -1)
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(neg.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(sqrt.f64 (/.f64 1 (fma.f64 x x x)))
(pow.f64 (fma.f64 x x x) -1/2)
(log.f64 (exp.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 3))
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
(exp.f64 (log.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))

localize17.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
14.0b
(pow.f64 (fma.f64 x x x) -1/2)
Compiler

Compiled 38 to 14 computations (63.2% saved)

series63.0ms (2.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
0.0ms
x
@inf
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
0.0ms
x
@-inf
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
Compiler

Compiled 5200 to 4345 computations (16.4% saved)

rewrite48.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
808×pow1_binary64
753×add-log-exp_binary64
751×log1p-expm1-u_binary64
751×expm1-log1p-u_binary64
734×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0918
119816
2251516
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (hypot.f64 x (sqrt.f64 x))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 1 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 1 (neg.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1) (fma.f64 x x x))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (/.f64 1 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) (pow.f64 (fma.f64 x x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) -1/4) (*.f64 (pow.f64 (fma.f64 x x x) -1/4) (/.f64 1 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)) 1) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)) (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/4) 1) (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (cbrt.f64 (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 x (sqrt.f64 x)) (pow.f64 (fma.f64 x x x) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))))))

simplify46.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
484×log-div_binary64
470×log-prod_binary64
353×fma-def_binary64
342×associate-/l*_binary64
282×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
093867
1220791
2896731
33934719
Stop Event
1×node limit
Counts
36 → 58
Calls
Call 1
Inputs
(-.f64 0 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) 1)
(-.f64 (/.f64 0 (hypot.f64 x (sqrt.f64 x))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 1 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 1 (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1)
(*.f64 1 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1) (fma.f64 x x x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1) (fma.f64 x x x))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (/.f64 1 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) (pow.f64 (fma.f64 x x x) -1/2))
(*.f64 -1 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 (fma.f64 x x x) -1/4) (*.f64 (pow.f64 (fma.f64 x x x) -1/4) (/.f64 1 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)) 1) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)) (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 -1 (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/4) 1) (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (cbrt.f64 (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) 3)
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) 2)
(pow.f64 (/.f64 (hypot.f64 x (sqrt.f64 x)) (pow.f64 (fma.f64 x x x) -1/2)) -1)
(neg.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1) (fma.f64 x x x)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))
Outputs
(-.f64 0 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) 1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 0 (hypot.f64 x (sqrt.f64 x))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 1 (hypot.f64 x (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 1 (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(*.f64 1 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1) (fma.f64 x x x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (/.f64 (/.f64 1 (fma.f64 x x x)) (fma.f64 x x x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (/.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 4)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1) (fma.f64 x x x))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (/.f64 (/.f64 1 (fma.f64 x x x)) (fma.f64 x x x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (/.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 4)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (/.f64 1 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (*.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2))))
(/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (/.f64 (hypot.f64 x (sqrt.f64 x)) (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) (pow.f64 (fma.f64 x x x) -1/2))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(*.f64 -1 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 (fma.f64 x x x) -1/4) (*.f64 (pow.f64 (fma.f64 x x x) -1/4) (/.f64 1 (hypot.f64 x (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)) 1) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (*.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2))))
(/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (/.f64 (hypot.f64 x (sqrt.f64 x)) (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (fma.f64 x x x)))
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (fma.f64 x x x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)) (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (cbrt.f64 (fma.f64 x x x))))
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) (pow.f64 (fma.f64 x x x) -1/2)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (*.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1)) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (*.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2))))
(/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (/.f64 (hypot.f64 x (sqrt.f64 x)) (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -1/2)) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 -1 (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/4) 1) (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (hypot.f64 x (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (cbrt.f64 (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (fma.f64 x x x)))
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (fma.f64 x x x))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))) 3)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/4) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) 2)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (/.f64 (hypot.f64 x (sqrt.f64 x)) (pow.f64 (fma.f64 x x x) -1/2)) -1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(neg.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1) (fma.f64 x x x)))
(sqrt.f64 (/.f64 (/.f64 1 (fma.f64 x x x)) (fma.f64 x x x)))
(sqrt.f64 (/.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x))))
(sqrt.f64 (pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 4))
(log.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 3))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x))) 0)
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 x (sqrt.f64 x)))

eval75.0ms (2.5%)

Compiler

Compiled 3533 to 1696 computations (52% saved)

prune33.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2367243
Fresh000
Picked101
Done505
Total2427249
Error
0b
Counts
249 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
0.1b
(/.f64 (/.f64 -1 x) (+.f64 1 x))
46.3b
(/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (/.f64 x (sqrt.f64 (/.f64 -1 (+.f64 1 x)))))
0.5b
(/.f64 -1 (+.f64 x (*.f64 x x)))
0.4b
(*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) 3))
0.6b
(*.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x -1)))
6.3b
(*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3)))
Compiler

Compiled 81 to 63 computations (22.2% saved)

regimes17.0ms (0.6%)

Accuracy

Total -63.9b remaining (-102300%)

Threshold costs -63.9b (-102300%)

Counts
15 → 1
Calls
Call 1
Inputs
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 (/.f64 -1 x) (+.f64 1 x))
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x -1)))
(*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3)))
(*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 x))) 3))
(/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (/.f64 x (sqrt.f64 (/.f64 -1 (+.f64 1 x)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) -1/2)) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))
Outputs
(/.f64 (/.f64 -1 x) (+.f64 1 x))
Calls

2 calls:

7.0ms
x
6.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 177 to 117 computations (33.9% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11420
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 -1 x) (+.f64 1 x))
(/.f64 -1 (+.f64 x (*.f64 x x)))
Outputs
(/.f64 (/.f64 -1 x) (+.f64 1 x))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (+.f64 x (*.f64 x x)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

soundness61.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
474×times-frac_binary64
461×associate-*l/_binary64
392×distribute-rgt-in_binary64
375×distribute-lft-in_binary64
311×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083374
1218212
21050205
37090205
Stop Event
1×node limit
Compiler

Compiled 25 to 19 computations (24% saved)

end47.0ms (1.6%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

Profiling

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