Details

Time bar (total: 8.7s)

analyze277.0ms (3.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%87.4%12.6%6
20.3%59.3%20.4%7
21.1%51.5%27.4%8
35.5%30.4%34%9
35.7%26.1%38.1%10
42.8%15.4%41.8%11
42.9%13.2%44%12
Compiler

Compiled 32 to 26 computations (18.8% saved)

sample3.9s (44.4%)

Results
1.5s2067×body1024valid
1.3s4935×body256valid
499.0ms1065×body512valid
359.0ms189×body2048valid
162.0ms887×body256invalid
9.0ms17×body1024invalid
4.0ms11×body512invalid

preprocess40.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
573×associate-*l/_binary64
469×associate-/l/_binary64
345×associate-/r/_binary64
252×distribute-rgt-in_binary64
232×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03590
110390
229974
395974
4322474
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (neg.f64 (+.f64 1 eps)) x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (*.f64 (-.f64 1 x) (neg.f64 eps)))) (*.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (*.f64 (+.f64 1 x) (neg.f64 eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (*.f64 (-.f64 1 x) (neg.f64 eps)))) (*.f64 (+.f64 (/.f64 1 x) -1) (pow.f64 (exp.f64 (+.f64 1 x)) (neg.f64 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (-.f64 1 (/.f64 1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (-.f64 1 (/.f64 1 x)) (exp.f64 (fma.f64 eps x eps)))))
Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify48.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
750×times-frac_binary64
574×div-sub_binary64
534×cancel-sign-sub-inv_binary64
519×fma-neg_binary64
472×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02045
15745
215937
351037
4166037
5794337
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))

eval1.0ms (0%)

Compiler

Compiled 56 to 43 computations (23.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
28.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.1b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
▶28.9b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))
Compiler

Compiled 58 to 45 computations (22.4% saved)

localize36.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
0.0b
(+.f64 1 (/.f64 1 eps))
0.0b
(-.f64 1 (/.f64 1 eps))
0.0b
(exp.f64 (fma.f64 eps x x))
✓0.0b
(+.f64 1 (/.f64 1 eps))
✓0.0b
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
✓0.3b
(pow.f64 (exp.f64 x) (+.f64 eps -1))
✓4.4b
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
Compiler

Compiled 99 to 56 computations (43.4% saved)

series62.0ms (0.7%)

Counts
4 → 76
Calls

21 calls:

TimeVariablePointExpression
24.0ms
x
@inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
24.0ms
x
@-inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms
x
@0
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms
eps
@-inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms
eps
@0
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))

rewrite99.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
685×prod-diff_binary64
375×fma-def_binary64
288×expm1-udef_binary64
287×log1p-udef_binary64
255×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01566
132664
2447164
Stop Event
1×node limit
Counts
4 → 160
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(+.f64 1 (/.f64 1 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps x) x))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps x) x))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 (exp.f64 (fma.f64 eps x x)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps x) x))) 3) (exp.f64 (*.f64 3 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) (fma.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps x) x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps x) x))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps x) x))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps x) x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps x) x)))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps x) x))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps x) x))))))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (/.f64 -1 eps))) (/.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (+.f64 1 (pow.f64 eps -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 1 (pow.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (/.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 eps -2))) (+.f64 -1 (neg.f64 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 eps -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 eps -2) 1) (-.f64 (/.f64 1 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) 1) (+.f64 1 (/.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 (/.f64 1 eps) (pow.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 (/.f64 1 eps) (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -1 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) -1) (pow.f64 (cbrt.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 eps) -1) (pow.f64 (sqrt.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 1 eps)) 1))))))

simplify77.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
808×distribute-rgt-in_binary64
772×distribute-lft-in_binary64
342×associate--l+_binary64
309×fma-neg_binary64
287×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01912563
17022326
226232012
Stop Event
1×node limit
Counts
236 → 226
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/6 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (+.f64 eps 1))) (*.f64 -1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(/.f64 -1 (*.f64 eps (exp.f64 x)))
(-.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 1 (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))) (+.f64 1 eps))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2)))))) (/.f64 1 eps))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
1
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
1
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
0
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) 0) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 x (/.f64 (exp.f64 x) x))))) (+.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) 0) (/.f64 x (exp.f64 x))))
(fma.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 (*.f64 x x) 1/2))) (fma.f64 (/.f64 x (/.f64 (exp.f64 x) x)) -1/2 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 1 x)))) (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))) (fma.f64 -1 (*.f64 x (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(-.f64 (+.f64 (+.f64 (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 x (/.f64 (exp.f64 x) x))))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 x (/.f64 (exp.f64 x) x)))))))) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (/.f64 x (exp.f64 x))))
(fma.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 (*.f64 x x) 1/2))) (fma.f64 (/.f64 x (/.f64 (exp.f64 x) x)) -1/2 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 1 x)))) (+.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) (*.f64 eps (*.f64 eps (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/6 (*.f64 x (*.f64 x (-.f64 (*.f64 (/.f64 1/2 (exp.f64 x)) x) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))))))))) (/.f64 x (exp.f64 x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (+.f64 eps -1)) x))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 -1 eps)))) (/.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) eps))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 -1 eps)))) (/.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) eps))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 -1 eps)))) (/.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) eps))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) (neg.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) eps)))
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) (neg.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) eps)))
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) (neg.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) eps)))
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps)))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2)
(fma.f64 (-.f64 (*.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x 2)
(fma.f64 x (-.f64 (*.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) 2)
(fma.f64 x (fma.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps)) (+.f64 (-.f64 -1 eps) (/.f64 (+.f64 1 eps) eps))) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2))))
(+.f64 (fma.f64 (-.f64 (*.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x 2) (*.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2))) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))))))
(fma.f64 x (-.f64 (*.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) (neg.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) 2))
(fma.f64 x (fma.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps)) (+.f64 (-.f64 -1 eps) (/.f64 (+.f64 1 eps) eps))) (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps)) (neg.f64 (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 -1/2 (/.f64 1/2 eps))))) 2))
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1
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(/.f64 -1 (*.f64 eps (exp.f64 x)))
(/.f64 -1 (*.f64 (exp.f64 x) eps))
(-.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 -1 (*.f64 (exp.f64 x) eps)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 -1 (*.f64 eps (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(fma.f64 (neg.f64 eps) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 x (/.f64 (exp.f64 x) x)))) (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(-.f64 (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 -1 (*.f64 (exp.f64 x) eps))) (*.f64 eps (fma.f64 (/.f64 x (/.f64 (exp.f64 x) x)) -1/2 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 1 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (fma.f64 -1 (*.f64 eps (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (*.f64 eps eps) (fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))) (fma.f64 -1 (*.f64 x (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(fma.f64 (neg.f64 eps) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 x (/.f64 (exp.f64 x) x)))) (+.f64 (*.f64 (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 x (/.f64 (exp.f64 x) x))))))) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(+.f64 (-.f64 (*.f64 eps (*.f64 x (-.f64 (*.f64 (/.f64 1/2 (exp.f64 x)) x) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))) (*.f64 (*.f64 eps eps) (fma.f64 1/2 (*.f64 (+.f64 x 1) (/.f64 x (/.f64 (exp.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/6 (*.f64 x (*.f64 x (-.f64 (*.f64 (/.f64 1/2 (exp.f64 x)) x) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))))))) (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 -1 (*.f64 (exp.f64 x) eps))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (/.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) eps))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (/.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) eps))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (/.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) eps))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (/.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) eps))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (/.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) eps))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (/.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) eps))
(-.f64 1 (/.f64 1 eps))
(+.f64 1 (/.f64 -1 eps))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (neg.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (neg.f64 (+.f64 1 (/.f64 -1 eps))) (fma.f64 eps x x) (/.f64 -1 eps)))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps))) (*.f64 (*.f64 x x) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))))))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 -1 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 eps x x) (*.f64 x (*.f64 x (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))))) (/.f64 -1 eps)))
(+.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) 1) (fma.f64 (*.f64 x x) (neg.f64 (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 -1/2 (/.f64 1/2 eps)))) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))) (+.f64 1 eps))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2)))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps))) (fma.f64 -1 (*.f64 (pow.f64 x 3) (fma.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))))) (*.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)) -1/3))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))))))) (/.f64 1 eps)))
(+.f64 (-.f64 1 (*.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 eps x x))) (-.f64 (neg.f64 (fma.f64 (pow.f64 x 3) (-.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (*.f64 (+.f64 1 (/.f64 -1 eps)) -1/3)) (*.f64 (+.f64 1 eps) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))))) (*.f64 x (*.f64 x (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))))))) (/.f64 1 eps)))
(+.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (+.f64 -1/2 (/.f64 1/2 eps))) (*.f64 (pow.f64 (+.f64 1 eps) 3) (*.f64 (+.f64 1 (/.f64 -1 eps)) -1/3))) x) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 -1/2 (/.f64 1/2 eps))))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
1
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
1
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))

localize59.0ms (0.7%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 1 eps) 1)
0.0b
(*.f64 (+.f64 1 eps) x)
0.0b
(*.f64 (-.f64 1 eps) x)
0.0b
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
✓0.0b
(*.f64 (+.f64 1 eps) x)
✓0.0b
(-.f64 (/.f64 1 eps) 1)
0.0b
(+.f64 1 (/.f64 1 eps))
✓3.4b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 143 to 106 computations (25.9% saved)

series11.0ms (0.1%)

Counts
3 → 47
Calls

15 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
1.0ms
x
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
1.0ms
x
@-inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
1.0ms
x
@inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
1.0ms
eps
@inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))

rewrite101.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
345×fma-neg_binary64
325×expm1-udef_binary64
324×log1p-udef_binary64
271×log-pow_binary64
209×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01856
141251
2596551
Stop Event
1×node limit
Counts
3 → 167
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (/.f64 1 eps) 1)
(*.f64 (+.f64 1 eps) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (+.f64 x (*.f64 x eps)))) (*.f64 1/3 (+.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (+.f64 x (*.f64 x eps))) (*.f64 1/2 (+.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (+.f64 x (*.f64 x eps)) 3)) (+.f64 0 (+.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2) (*.f64 0 (+.f64 x (*.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (+.f64 x (*.f64 x eps)) 2)) (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (neg.f64 x)) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (neg.f64 x)) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))))))

simplify46.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
639×fma-def_binary64
602×associate-*l*_binary64
591×associate-*r*_binary64
419×distribute-rgt-in_binary64
409×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01561685
15301470
218251167
Stop Event
1×node limit
Counts
214 → 198
Calls
Call 1
Inputs
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))) (*.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)))) (+.f64 (*.f64 -1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7))) (*.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))))) (pow.f64 eps 6)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 2 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x))
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (*.f64 -1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 3)))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(/.f64 1 eps)
-1
-1
x
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
Outputs
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (/.f64 -1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 eps (*.f64 eps (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (fma.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1)))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 (/.f64 1/24 (exp.f64 x)) (pow.f64 x 4) (*.f64 (pow.f64 x 5) (/.f64 1/120 (exp.f64 x)))) (fma.f64 (/.f64 -1/120 (exp.f64 x)) (pow.f64 x 5) (*.f64 (pow.f64 x 4) (/.f64 -1/24 (exp.f64 x))))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (/.f64 -1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (*.f64 (/.f64 (pow.f64 x 4) (exp.f64 x)) 1/12))) (fma.f64 eps (*.f64 eps (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (fma.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1)))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))) (*.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)))) (+.f64 (*.f64 -1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7))) (*.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))))) (pow.f64 eps 6)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (fma.f64 (-.f64 (fma.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)))) (fma.f64 -1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) -1/720))) (pow.f64 eps 6) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))
(fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 (/.f64 1/24 (exp.f64 x)) (pow.f64 x 4) (*.f64 (pow.f64 x 5) (/.f64 1/120 (exp.f64 x)))) (fma.f64 (/.f64 -1/120 (exp.f64 x)) (pow.f64 x 5) (*.f64 (pow.f64 x 4) (/.f64 -1/24 (exp.f64 x))))) (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 1/720 (exp.f64 x)) (pow.f64 x 6) (*.f64 (pow.f64 x 7) (/.f64 1/5040 (exp.f64 x)))) (fma.f64 (/.f64 -1/720 (exp.f64 x)) (pow.f64 x 6) (*.f64 (pow.f64 x 7) (/.f64 -1/5040 (exp.f64 x))))) (pow.f64 eps 6) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (/.f64 -1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(fma.f64 (pow.f64 eps 4) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (*.f64 (/.f64 (pow.f64 x 4) (exp.f64 x)) 1/12))) (fma.f64 (fma.f64 1/720 (/.f64 (pow.f64 x 6) (exp.f64 x)) (fma.f64 1/720 (/.f64 (pow.f64 x 6) (exp.f64 x)) (*.f64 (/.f64 (pow.f64 x 7) (exp.f64 x)) 1/2520))) (pow.f64 eps 6) (fma.f64 eps (*.f64 eps (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (fma.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1)))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
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2
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(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 eps 1))) 2)
(fma.f64 x (fma.f64 (/.f64 (+.f64 eps 1) eps) (-.f64 eps 1) (-.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps 1))) 2)
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(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x))))
(/.f64 1 eps)
-1
-1
x
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
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(fma.f64 eps x x)
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(fma.f64 eps x x)
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(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
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(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)

eval350.0ms (4%)

Compiler

Compiled 19726 to 13272 computations (32.7% saved)

prune69.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4629471
Fresh000
Picked101
Done101
Total4649473
Error
0b
Counts
473 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
0.5b
(*.f64 1/2 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))))
0.7b
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x))))
▶28.1b
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))) 2)
▶0.5b
(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))) 2)
47.2b
(*.f64 1/2 0)
▶15.8b
(*.f64 1/2 2)
30.2b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
▶0.7b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
Compiler

Compiled 324 to 240 computations (25.9% saved)

localize23.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiled 97 to 31 computations (68% saved)

series4.0ms (0%)

Counts
3 → 26
Calls

9 calls:

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

rewrite75.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
725×pow1_binary64
677×add-log-exp_binary64
675×log1p-expm1-u_binary64
675×expm1-log1p-u_binary64
663×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01044
122024
2345624
Stop Event
1×node limit
Counts
3 → 122
Calls
Call 1
Inputs
(*.f64 (exp.f64 (neg.f64 x)) x)
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x))))))) (#(struct:change 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(+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (exp.f64 x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) x (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x))))))) (#(struct:change 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(+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (exp.f64 x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) x (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))))

simplify36.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
915×fma-neg_binary64
870×fma-def_binary64
656×cancel-sign-sub-inv_binary64
465×associate-*l*_binary64
436×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053303
1141277
2337254
31147225
44227225
Stop Event
1×node limit
Counts
148 → 98
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 (exp.f64 (*.f64 -1 x)) x)
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) 1)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))) 1)
(*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(*.f64 x (-.f64 1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 x (neg.f64 x) x))
(fma.f64 x (*.f64 x (fma.f64 x 1/2 -1)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 4) x)))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 (fma.f64 -1/6 (pow.f64 x 4) x) (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/6 (pow.f64 x 4) x)) (*.f64 x x))
(fma.f64 (*.f64 x x) (fma.f64 x 1/2 -1) (fma.f64 -1/6 (pow.f64 x 4) x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(fma.f64 1/2 (*.f64 x x) -1)
(fma.f64 (*.f64 x x) 1/2 -1)
(fma.f64 x (*.f64 x 1/2) -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/3)) -1)
(fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 3) -1/3 -1))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 3) -1/3 -1))
(fma.f64 x (*.f64 x (fma.f64 x -1/3 1/2)) -1)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/3))) -1)
(fma.f64 (pow.f64 x 4) 1/8 (fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 3) -1/3 -1)))
(fma.f64 (pow.f64 x 4) 1/8 (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 3) -1/3 -1)))
(fma.f64 x (*.f64 x (fma.f64 x -1/3 1/2)) (fma.f64 (pow.f64 x 4) 1/8 -1))
(*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x))
(neg.f64 (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 x (/.f64 -1 (exp.f64 x)))
(/.f64 (neg.f64 x) (exp.f64 x))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(neg.f64 (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 x (/.f64 -1 (exp.f64 x)))
(/.f64 (neg.f64 x) (exp.f64 x))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))
(neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))
(neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))
(neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (exp.f64 x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (*.f64 (pow.f64 x 3) 1/3))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 3) 1/3 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 4) -1/8)))
(+.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))) (fma.f64 (pow.f64 x 4) -1/8 1))
(fma.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2) (fma.f64 (pow.f64 x 4) -1/8 1))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(/.f64 (+.f64 x 1) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(/.f64 (+.f64 x 1) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(/.f64 (+.f64 x 1) (exp.f64 x))

localize580.0ms (6.7%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 40 to 23 computations (42.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))
0.0ms
x
@-inf
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))
0.0ms
x
@0
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))

rewrite63.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
11458
218738
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (exp.f64 x)) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log1p.f64 x)))))))

simplify59.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
883×fma-def_binary64
603×fma-neg_binary64
376×*-commutative_binary64
283×sqr-pow_binary64
276×distribute-lft-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030146
172132
2150125
3473106
41442103
53372103
64901103
76068103
87736103
Stop Event
1×node limit
Counts
34 → 35
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (exp.f64 (neg.f64 x)) x)
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) 1))
(fma.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/3) -1/2)) (fma.f64 -1/8 (pow.f64 x 4) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (fma.f64 -1/8 (pow.f64 x 4) 1))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))

localize39.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 eps 1) x)
0.0b
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
0.0b
(*.f64 (-.f64 1 eps) x)
0.0b
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
✓0.0b
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
✓0.0b
(*.f64 (-.f64 1 eps) x)
✓0.0b
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
✓0.0b
(*.f64 (+.f64 eps 1) x)
Compiler

Compiled 94 to 68 computations (27.7% saved)

series12.0ms (0.1%)

Counts
4 → 68
Calls

24 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
1.0ms
eps
@0
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
1.0ms
x
@-inf
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
1.0ms
x
@inf
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
1.0ms
x
@0
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))

rewrite98.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
681×log-prod_binary64
665×prod-diff_binary64
471×fma-def_binary64
221×expm1-udef_binary64
221×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01549
132243
2449037
Stop Event
1×node limit
Counts
4 → 294
Calls
Call 1
Inputs
(*.f64 (+.f64 eps 1) x)
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(*.f64 (-.f64 1 eps) x)
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 eps x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 eps x x) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 -2) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (fma.f64 eps x x)) (*.f64 2 (*.f64 1/3 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (fma.f64 eps x x))) (*.f64 1/3 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (fma.f64 eps x x))) (log.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (fma.f64 eps x x)) (*.f64 1/2 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (fma.f64 eps x x)) (log.f64 (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (fma.f64 eps x x)) (log.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))))) (*.f64 1/2 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))) (*.f64 1/3 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))) (*.f64 1/3 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 -1 (sqrt.f64 (exp.f64 (fma.f64 eps x x))))) (*.f64 1/2 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (exp.f64 (fma.f64 eps x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 -2) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 eps x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (fma.f64 eps x x) 3)) (+.f64 0 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (*.f64 0 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (fma.f64 eps x x) 2)) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (-.f64 (fma.f64 eps eps 1) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (neg.f64 x)) (-.f64 (fma.f64 eps eps 1) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps eps -1) (neg.f64 x)) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (-.f64 (fma.f64 eps eps 1) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 eps x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 eps x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 eps x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (exp.f64 (fma.f64 eps x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 -1 (+.f64 1 (expm1.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 eps x x) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 -2) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 eps 1) x (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 eps 1) (neg.f64 x) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 eps 1) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (fma.f64 -1 eps -1) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 eps x x) 1 (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 eps x x) -1 (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 eps x x) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 eps x x)) (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2) (cbrt.f64 (fma.f64 eps x x)) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2) (neg.f64 (cbrt.f64 (fma.f64 eps x x))) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 eps 1)) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps 1) 2)) (*.f64 (cbrt.f64 (+.f64 eps 1)) x) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps 1) 2)) (*.f64 (cbrt.f64 (+.f64 eps 1)) (neg.f64 x)) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 eps x x)) (sqrt.f64 (fma.f64 eps x x)) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 eps x x)) (neg.f64 (sqrt.f64 (fma.f64 eps x x))) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 eps 1)) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 eps 1)) (*.f64 (sqrt.f64 (+.f64 eps 1)) x) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 eps 1)) (*.f64 (sqrt.f64 (+.f64 eps 1)) (neg.f64 x)) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (+.f64 eps 1) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 eps -1) x (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (log1p.f64 -2)) (cbrt.f64 (log1p.f64 -2))) (cbrt.f64 (log1p.f64 -2)) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 -2)) (sqrt.f64 (log1p.f64 -2)) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 eps 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log1p.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 eps 1) (sqrt.f64 x)) (sqrt.f64 x) (log1p.f64 -2))))) (#(struct:change 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simplify56.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
871×fma-neg_binary64
696×fma-def_binary64
517×unsub-neg_binary64
330×unswap-sqr_binary64
281×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01211061
1411858
21322822
35045820
Stop Event
1×node limit
Counts
362 → 338
Calls
Call 1
Inputs
x
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x)))))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
x
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (pow.f64 eps 2))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (pow.f64 eps 2)))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))))) (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))) (*.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (pow.f64 eps 2))))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (*.f64 1/6 (pow.f64 (+.f64 eps 1) 3))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
Outputs
x
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x)))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 eps (exp.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (*.f64 x eps)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (exp.f64 (neg.f64 x))) (*.f64 x (/.f64 eps (exp.f64 x))))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (/.f64 (*.f64 x x) (exp.f64 x)))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (*.f64 x eps))))
(fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps 1/2))) (*.f64 x eps)) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x)))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (exp.f64 (neg.f64 x)))) (*.f64 x (/.f64 eps (exp.f64 x))))
(fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 3) (exp.f64 x))) (fma.f64 1/2 (*.f64 eps (*.f64 eps (/.f64 (*.f64 x x) (exp.f64 x)))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (*.f64 x eps)))))
(fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps 1/2))) 1) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 x eps))))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 1 (neg.f64 (fma.f64 eps x x)))
(-.f64 1 (fma.f64 x eps x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2)) (+.f64 1 (neg.f64 (fma.f64 eps x x))))
(-.f64 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) 1) (fma.f64 x eps x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2)) (+.f64 1 (neg.f64 (fma.f64 eps x x)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)) (-.f64 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) 1) (fma.f64 x eps x)))
(-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)) (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) 1)) (fma.f64 x eps x))
(fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)) (-.f64 1 (fma.f64 x eps x))))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
x
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(fma.f64 x (neg.f64 eps) x)
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(fma.f64 x (neg.f64 eps) x)
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(fma.f64 x (neg.f64 eps) x)
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 2 (exp.f64 (neg.f64 x)))
(/.f64 2 (exp.f64 x))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (pow.f64 eps 2))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) 1))) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) 2))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (pow.f64 eps 2)))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 (pow.f64 eps 4) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) 1/12) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) 1)))) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 eps 4) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/12)) (+.f64 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x)))))
(fma.f64 (pow.f64 eps 4) (*.f64 (pow.f64 x 4) (/.f64 1/12 (exp.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) 2)))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))))) (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))) (*.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (pow.f64 eps 2))))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 (pow.f64 eps 4) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) 1/12) (fma.f64 (pow.f64 eps 6) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) 1/360) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) 1))))) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (fma.f64 (pow.f64 eps 4) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/12)) (*.f64 (pow.f64 eps 6) (*.f64 (pow.f64 x 6) (*.f64 (exp.f64 (neg.f64 x)) 1/360)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x)))))
(fma.f64 (pow.f64 eps 4) (*.f64 (pow.f64 x 4) (/.f64 1/12 (exp.f64 x))) (fma.f64 (pow.f64 eps 6) (*.f64 (/.f64 (pow.f64 x 6) (exp.f64 x)) 1/360) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) 2))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2))))
(+.f64 2 (fma.f64 -2 x (*.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))))))
(+.f64 2 (fma.f64 x -2 (*.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (pow.f64 (+.f64 eps 1) 2))))))
(fma.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (pow.f64 (+.f64 eps 1) 2))) (fma.f64 x -2 2))
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (*.f64 1/6 (pow.f64 (+.f64 eps 1) 3))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2)))))
(+.f64 2 (fma.f64 -2 x (fma.f64 (*.f64 1/6 (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 (+.f64 eps 1) 3))) (pow.f64 x 3) (*.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2)))))))
(+.f64 (fma.f64 x -2 2) (fma.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (pow.f64 (+.f64 eps 1) 2))) (*.f64 (*.f64 (pow.f64 x 3) 1/6) (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 (+.f64 eps 1) 3)))))
(+.f64 2 (fma.f64 x -2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (pow.f64 (+.f64 eps 1) 2))) (*.f64 x (*.f64 1/6 (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 (+.f64 eps 1) 3))))))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))

localize38.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1 eps) 1)
0.0b
(-.f64 (/.f64 1 eps) 1)
0.0b
(-.f64 (*.f64 eps x) x)
0.0b
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
0.0b
(-.f64 (/.f64 1 eps) 1)
✓0.0b
(+.f64 (/.f64 1 eps) 1)
✓0.0b
(+.f64 (*.f64 eps x) x)
✓3.4b
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
Compiler

Compiled 130 to 54 computations (58.5% saved)

series8.0ms (0.1%)

Counts
3 → 38
Calls

15 calls:

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

rewrite104.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
491×fma-neg_binary64
306×expm1-udef_binary64
306×log1p-udef_binary64
254×log-pow_binary64
237×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01650
137047
2542647
Stop Event
1×node limit
Counts
3 → 249
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(+.f64 (*.f64 eps x) x)
(+.f64 (/.f64 1 eps) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (exp.f64 (fma.f64 eps x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (exp.f64 (fma.f64 eps x x)))) (fma.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) (exp.f64 (fma.f64 eps x x)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1))) (fma.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) (exp.f64 (fma.f64 eps x x)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1))) (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (exp.f64 (fma.f64 eps x x)))) 1 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1))) 2) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1))) (*.f64 (fma.f64 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(exp.f64 (fma.f64 eps x x)))) (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (exp.f64 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(fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (exp.f64 (*.f64 2 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)) 2)) (/.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))) (-.f64 (sqrt.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 (*.f64 2 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps))))) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)) (fma.f64 (+.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 eps -2) (+.f64 (/.f64 1 eps) -1)) (/.f64 1 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 eps -2) -1) (/.f64 1 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 (pow.f64 eps -3) -1)) (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 1 eps))) (+.f64 1 (pow.f64 eps -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (pow.f64 eps -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 (/.f64 1 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 eps -2) -1)) (+.f64 (neg.f64 (/.f64 1 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 eps -3))) (neg.f64 (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) 1) (+.f64 (/.f64 1 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (*.f64 (/.f64 1 (cbrt.f64 eps)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (*.f64 (pow.f64 eps -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) -1) (pow.f64 (cbrt.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 eps) -1) (pow.f64 (sqrt.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 1 eps)) 1))))))

simplify46.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
632×fma-def_binary64
558×associate-*l*_binary64
555×associate-*r*_binary64
421×distribute-rgt-in_binary64
410×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01421387
14641253
217391006
Stop Event
1×node limit
Counts
287 → 278
Calls
Call 1
Inputs
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))) (*.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)))) (+.f64 (*.f64 -1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7))) (*.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))))) (pow.f64 eps 6)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) eps)) (+.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) eps) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))))
(-.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) eps)) (+.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) eps) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))))
(-.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) eps)) (+.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) eps) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))) eps)) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))) eps)) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))) eps)) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
2
(+.f64 2 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x))
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (*.f64 -1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 3)))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (*.f64 (exp.f64 (-.f64 (*.f64 -1 x) (*.f64 eps x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (*.f64 (exp.f64 (-.f64 (*.f64 -1 x) (*.f64 eps x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (*.f64 (exp.f64 (-.f64 (*.f64 -1 x) (*.f64 eps x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (*.f64 (exp.f64 (-.f64 (*.f64 -1 x) (*.f64 eps x))) (-.f64 (/.f64 1 eps) 1)))
x
(*.f64 eps x)
(*.f64 eps x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(/.f64 1 eps)
1
1
Outputs
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (/.f64 -1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 eps (*.f64 eps (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1)))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))
(fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 (/.f64 1/24 (exp.f64 x)) (pow.f64 x 4) (*.f64 (pow.f64 x 5) (/.f64 1/120 (exp.f64 x)))) (fma.f64 (/.f64 -1/24 (exp.f64 x)) (pow.f64 x 4) (*.f64 (pow.f64 x 5) (/.f64 -1/120 (exp.f64 x))))) (-.f64 (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (/.f64 -1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(fma.f64 (pow.f64 eps 4) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (*.f64 (/.f64 (pow.f64 x 4) (exp.f64 x)) 1/12))) (fma.f64 eps (*.f64 eps (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1)))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))) (*.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)))) (+.f64 (*.f64 -1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7))) (*.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))))) (pow.f64 eps 6)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (fma.f64 (-.f64 (fma.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)))) (fma.f64 -1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) -1/720))) (pow.f64 eps 6) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 (/.f64 1/24 (exp.f64 x)) (pow.f64 x 4) (*.f64 (pow.f64 x 5) (/.f64 1/120 (exp.f64 x)))) (fma.f64 (/.f64 -1/24 (exp.f64 x)) (pow.f64 x 4) (*.f64 (pow.f64 x 5) (/.f64 -1/120 (exp.f64 x))))) (fma.f64 (-.f64 (fma.f64 (/.f64 1/720 (exp.f64 x)) (pow.f64 x 6) (*.f64 (pow.f64 x 7) (/.f64 1/5040 (exp.f64 x)))) (fma.f64 (/.f64 -1/720 (exp.f64 x)) (pow.f64 x 6) (*.f64 (pow.f64 x 7) (/.f64 -1/5040 (exp.f64 x))))) (pow.f64 eps 6) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (/.f64 -1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (*.f64 (/.f64 (pow.f64 x 4) (exp.f64 x)) 1/12))) (fma.f64 (fma.f64 1/720 (/.f64 (pow.f64 x 6) (exp.f64 x)) (fma.f64 1/720 (/.f64 (pow.f64 x 6) (exp.f64 x)) (*.f64 (/.f64 (pow.f64 x 7) (exp.f64 x)) 1/2520))) (pow.f64 eps 6) (fma.f64 eps (*.f64 eps (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1)))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) eps)) (+.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) eps) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) eps)) (+.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) eps) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) eps)) (+.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) eps) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))) eps)) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 eps x x))))) eps) (exp.f64 (-.f64 (*.f64 x eps) x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (fma.f64 -1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 -1 eps))) eps)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (pow.f64 (exp.f64 x) (-.f64 -1 eps))) eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))) eps)) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 eps x x))))) eps) (exp.f64 (-.f64 (*.f64 x eps) x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (fma.f64 -1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 -1 eps))) eps)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (pow.f64 (exp.f64 x) (-.f64 -1 eps))) eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))) eps)) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 eps x x))))) eps) (exp.f64 (-.f64 (*.f64 x eps) x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (fma.f64 -1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 -1 eps))) eps)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (pow.f64 (exp.f64 x) (-.f64 -1 eps))) eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
2
(+.f64 2 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1))))))
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 eps 1))) 2)
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (+.f64 -1 (+.f64 (/.f64 1 eps) (-.f64 1 eps)))) 2)
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))
(+.f64 2 (fma.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))) x (*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 eps 1) 2)))))))
(+.f64 2 (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 eps 1))) (*.f64 (*.f64 (*.f64 x x) 1/2) (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (+.f64 eps 1) 2))))))
(fma.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1/2 (/.f64 1/2 eps)))) (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (+.f64 -1 (+.f64 (/.f64 1 eps) (-.f64 1 eps)))) 2))
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (*.f64 -1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 3)))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))))
(+.f64 2 (fma.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))) x (fma.f64 (+.f64 (*.f64 1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 3))) (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 eps 1) 3)))) (pow.f64 x 3) (*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 eps 1) 2))))))))
(+.f64 (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 eps 1))) 2) (fma.f64 (pow.f64 x 3) (*.f64 1/6 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 3)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (+.f64 eps 1) 3)))) (*.f64 (*.f64 (*.f64 x x) 1/2) (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (+.f64 eps 1) 2))))))
(+.f64 (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (+.f64 -1 (+.f64 (/.f64 1 eps) (-.f64 1 eps)))) 2) (*.f64 (*.f64 x x) (+.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 -1 eps) 3) (+.f64 1/6 (/.f64 1/6 eps)) (*.f64 (pow.f64 (+.f64 eps 1) 3) (+.f64 -1/6 (/.f64 1/6 eps)))) x) (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1/2 (/.f64 1/2 eps)))))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (*.f64 (exp.f64 (-.f64 (*.f64 -1 x) (*.f64 eps x))) (-.f64 (/.f64 1 eps) 1)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (*.f64 (exp.f64 (-.f64 (*.f64 -1 x) (*.f64 eps x))) (-.f64 (/.f64 1 eps) 1)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (*.f64 (exp.f64 (-.f64 (*.f64 -1 x) (*.f64 eps x))) (-.f64 (/.f64 1 eps) 1)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (*.f64 (exp.f64 (-.f64 (*.f64 -1 x) (*.f64 eps x))) (-.f64 (/.f64 1 eps) 1)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
x
(*.f64 eps x)
(*.f64 x eps)
(*.f64 eps x)
(*.f64 x eps)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(fma.f64 eps x x)
(fma.f64 x eps x)
(/.f64 1 eps)
1
1

eval446.0ms (5.1%)

Compiler

Compiled 25697 to 13940 computations (45.8% saved)

prune134.0ms (1.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New8128820
Fresh224
Picked011
Done314
Total81712829
Error
0b
Counts
829 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
16.0b
(/.f64 (+.f64 2 (*.f64 -2 x)) 2)
30.2b
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) -1)) 2)
▶47.2b
(*.f64 1/2 0)
0.5b
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) 2)
✓15.8b
(*.f64 1/2 2)
▶2.9b
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) 2)) 2)
16.2b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 1)) 2)
0.7b
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x))))
✓28.1b
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))) 2)
▶47.1b
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
▶11.4b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
▶0.5b
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
Compiler

Compiled 327 to 248 computations (24.2% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 34 to 22 computations (35.3% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (+.f64 x 1) (exp.f64 x))
1.0ms
x
@inf
(/.f64 (+.f64 x 1) (exp.f64 x))
0.0ms
x
@0
(/.f64 (+.f64 x 1) (exp.f64 x))

rewrite46.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
672×pow1_binary64
627×log1p-expm1-u_binary64
627×expm1-log1p-u_binary64
626×add-log-exp_binary64
613×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069
11258
216908
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) x))))))

simplify47.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
805×unswap-sqr_binary64
759×fma-def_binary64
367×times-frac_binary64
302×*-commutative_binary64
295×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025142
158140
2127137
3408130
41158127
52664127
64662127
77116127
Stop Event
1×node limit
Counts
43 → 41
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (fma.f64 -1/8 (pow.f64 x 4) 1))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x -1/8 1/3) -1/2) 1)
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (exp.f64 x))
✓0.0b
(/.f64 x (exp.f64 x))
Compiler

Compiled 24 to 11 computations (54.2% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite38.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
437×pow1_binary64
420×add-sqr-sqrt_binary64
414×*-un-lft-identity_binary64
406×add-log-exp_binary64
405×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
1816
210876
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 x (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (exp.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 x (exp.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (cbrt.f64 (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 x (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 x (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) x))))))

simplify32.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
803×unswap-sqr_binary64
611×distribute-rgt-neg-in_binary64
535×distribute-lft-neg-in_binary64
410×distribute-lft-out--_binary64
402×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01946
15243
212743
343139
4148239
5458439
Stop Event
1×node limit
Counts
37 → 40
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(*.f64 x (-.f64 1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) x) (*.f64 x x))
(fma.f64 (*.f64 x x) (fma.f64 x 1/2 -1) x)
(fma.f64 x (*.f64 x (fma.f64 x 1/2 -1)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 4) x)))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 (fma.f64 -1/6 (pow.f64 x 4) x) (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/6 (pow.f64 x 4) x)) (*.f64 x x))
(fma.f64 x (*.f64 x (fma.f64 x 1/2 -1)) (fma.f64 -1/6 (pow.f64 x 4) x))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
2.0b
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) 2))
0.2b
(*.f64 (*.f64 x eps) (*.f64 x eps))
✓0.2b
(*.f64 (*.f64 x eps) (*.f64 x eps))
✓2.0b
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) 2))
Compiler

Compiled 57 to 17 computations (70.2% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
eps
@inf
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) 2))
1.0ms
x
@inf
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) 2))
1.0ms
eps
@0
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) 2))
1.0ms
x
@0
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) 2))
1.0ms
x
@0
(*.f64 (*.f64 x eps) (*.f64 x eps))

rewrite43.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
523×log-prod_binary64
404×pow-prod-down_binary64
401×prod-diff_binary64
254×pow2_binary64
233×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01024
122122
229852
Stop Event
1×node limit
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) 2))
(*.f64 (*.f64 x eps) (*.f64 x eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 2)))))
((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

simplify45.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
668×associate-*l*_binary64
629×fma-def_binary64
525×associate-*r*_binary64
447×associate-/l*_binary64
433×times-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037753
1100715
2231658
3845621
44451591
Stop Event
1×node limit
Counts
50 → 18
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 (+.f64 (pow.f64 eps 2) 1) (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 eps 2)) 1/3) (pow.f64 x 3)) (*.f64 (+.f64 (pow.f64 eps 2) 1) (pow.f64 x 2)))))
(*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(*.f64 2 (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
Outputs
2
(+.f64 2 (*.f64 -2 x))
(fma.f64 -2 x 2)
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 (+.f64 (pow.f64 eps 2) 1) (pow.f64 x 2))))
(+.f64 2 (fma.f64 -2 x (*.f64 (+.f64 (*.f64 eps eps) 1) (*.f64 x x))))
(+.f64 2 (fma.f64 -2 x (*.f64 (fma.f64 eps eps 1) (*.f64 x x))))
(fma.f64 (fma.f64 eps eps 1) (*.f64 x x) (fma.f64 -2 x 2))
(fma.f64 x (fma.f64 x (fma.f64 eps eps 1) -2) 2)
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 eps 2)) 1/3) (pow.f64 x 3)) (*.f64 (+.f64 (pow.f64 eps 2) 1) (pow.f64 x 2)))))
(+.f64 2 (fma.f64 -2 x (fma.f64 (fma.f64 -1 (*.f64 eps eps) -1/3) (pow.f64 x 3) (*.f64 (+.f64 (*.f64 eps eps) 1) (*.f64 x x)))))
(+.f64 (fma.f64 -2 x 2) (fma.f64 (fma.f64 eps eps 1) (*.f64 x x) (*.f64 (fma.f64 (*.f64 eps eps) -1 -1/3) (pow.f64 x 3))))
(+.f64 2 (fma.f64 -2 x (*.f64 (*.f64 x x) (+.f64 (fma.f64 eps eps 1) (*.f64 x (fma.f64 eps (neg.f64 eps) -1/3))))))
(fma.f64 (*.f64 x x) (fma.f64 x (-.f64 -1/3 (*.f64 eps eps)) (fma.f64 eps eps 1)) (fma.f64 -2 x 2))
(*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (exp.f64 x))
(*.f64 eps (*.f64 eps (/.f64 (*.f64 x x) (exp.f64 x))))
(*.f64 eps (*.f64 x (*.f64 x (/.f64 eps (exp.f64 x)))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 eps eps)) 2))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) 2) (exp.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 eps eps)) 2))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) 2) (exp.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 eps eps)) 2))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) 2) (exp.f64 x))
(*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (exp.f64 x))
(*.f64 eps (*.f64 eps (/.f64 (*.f64 x x) (exp.f64 x))))
(*.f64 eps (*.f64 x (*.f64 x (/.f64 eps (exp.f64 x)))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 eps eps)) 2))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) 2) (exp.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 eps eps)) 2))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) 2) (exp.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 eps eps)) 2))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) 2) (exp.f64 x))
(*.f64 2 (exp.f64 (neg.f64 x)))
(/.f64 2 (exp.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 eps eps)) 2))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) 2) (exp.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 eps eps)) 2))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) 2) (exp.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 eps eps)) 2))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) 2) (exp.f64 x))
(*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (exp.f64 x))
(*.f64 eps (*.f64 eps (/.f64 (*.f64 x x) (exp.f64 x))))
(*.f64 eps (*.f64 x (*.f64 x (/.f64 eps (exp.f64 x)))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 eps eps)) 2))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) 2) (exp.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 eps eps)) 2))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) 2) (exp.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 eps eps)) 2))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) 2) (exp.f64 x))
(*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (exp.f64 x))
(*.f64 eps (*.f64 eps (/.f64 (*.f64 x x) (exp.f64 x))))
(*.f64 eps (*.f64 x (*.f64 x (/.f64 eps (exp.f64 x)))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 eps eps)) 2))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) 2) (exp.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 eps eps)) 2))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) 2) (exp.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 eps eps)) 2))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) 2) (exp.f64 x))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 79 to 42 computations (46.8% saved)

series5.0ms (0.1%)

Counts
1 → 16
Calls

6 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
1.0ms
x
@0
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
1.0ms
eps
@inf
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
1.0ms
eps
@-inf
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
1.0ms
x
@inf
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))

rewrite72.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
615×log-prod_binary64
574×prod-diff_binary64
365×fma-def_binary64
295×pow2_binary64
206×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01421
129317
2399117
Stop Event
1×node limit
Counts
1 → 111
Calls
Call 1
Inputs
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
Outputs
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((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) -1) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (exp.f64 (fma.f64 (-.f64 1 eps) x (*.f64 eps x))))) (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (exp.f64 (fma.f64 (-.f64 1 eps) x (*.f64 eps x))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps))) 1))))))

simplify54.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
436×distribute-rgt-in_binary64
400×distribute-lft-in_binary64
369×cancel-sign-sub-inv_binary64
305×fma-neg_binary64
281×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066455
1212388
2678362
33072362
Stop Event
1×node limit
Counts
127 → 128
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2)))))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/6 (pow.f64 x 3)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2))))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (*.f64 1/6 (pow.f64 eps 3))) (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
Outputs
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 1 (exp.f64 (neg.f64 x))))
(fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (neg.f64 x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2)))))
(fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (*.f64 (*.f64 x x) -1/2)) (*.f64 eps eps)))))
(+.f64 (fma.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (exp.f64 x)) -1/2)) (*.f64 eps eps) (exp.f64 (neg.f64 x))) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (neg.f64 x)) 1))
(+.f64 (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 (+.f64 1/2 (/.f64 1/2 (exp.f64 x))) eps)) (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) 1))
(+.f64 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (exp.f64 (neg.f64 x))) (fma.f64 eps (*.f64 eps (*.f64 (*.f64 x x) (+.f64 1/2 (/.f64 1/2 (exp.f64 x))))) 1))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/6 (pow.f64 x 3)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2))))))
(fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 1 (fma.f64 (pow.f64 eps 3) (*.f64 1/6 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (*.f64 (*.f64 x x) -1/2)) (*.f64 eps eps))))))
(+.f64 (fma.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/6 (exp.f64 x)) 1/6)) (fma.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (exp.f64 x)) -1/2)) (*.f64 eps eps) (exp.f64 (neg.f64 x)))) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (neg.f64 x)) 1))
(+.f64 (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 (+.f64 1/2 (/.f64 1/2 (exp.f64 x))) eps)) (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (fma.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (fma.f64 (exp.f64 (neg.f64 x)) 1/6 -1/6)) 1)))
(+.f64 1 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (fma.f64 eps (*.f64 eps (*.f64 (*.f64 x x) (+.f64 1/2 (/.f64 1/2 (exp.f64 x))))) (fma.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (fma.f64 (exp.f64 (neg.f64 x)) 1/6 -1/6)) (exp.f64 (neg.f64 x))))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (pow.f64 (exp.f64 eps) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 (neg.f64 x)) eps))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (pow.f64 (exp.f64 eps) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 (neg.f64 x)) eps))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (pow.f64 (exp.f64 eps) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 (neg.f64 x)) eps))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (pow.f64 (exp.f64 eps) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 (neg.f64 x)) eps))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 (neg.f64 x) 2)
(-.f64 2 x)
(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))))
(+.f64 2 (fma.f64 -1 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (*.f64 1/2 (*.f64 eps eps))))))
(+.f64 2 (-.f64 (*.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 eps eps)))) x))
(fma.f64 x (*.f64 1/2 (*.f64 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps -1) 2)) x)) (-.f64 2 x))
(fma.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps -1) 2)) (-.f64 2 x))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (*.f64 1/6 (pow.f64 eps 3))) (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2)))))
(fma.f64 (*.f64 1/6 (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 eps 3))) (pow.f64 x 3) (+.f64 2 (fma.f64 -1 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (*.f64 1/2 (*.f64 eps eps)))))))
(+.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 eps eps)))) x) (fma.f64 (pow.f64 x 3) (*.f64 1/6 (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 eps 3))) 2))
(fma.f64 (pow.f64 x 3) (*.f64 1/6 (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 eps 3))) (fma.f64 x (*.f64 1/2 (*.f64 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps -1) 2)) x)) (-.f64 2 x)))
(fma.f64 1/6 (*.f64 (pow.f64 x 3) (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 eps 3))) (fma.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps -1) 2)) (-.f64 2 x)))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (pow.f64 (exp.f64 eps) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 (neg.f64 x)) eps))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (pow.f64 (exp.f64 eps) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 (neg.f64 x)) eps))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (pow.f64 (exp.f64 eps) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 (neg.f64 x)) eps))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (pow.f64 (exp.f64 eps) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 (neg.f64 x)) eps))

eval100.0ms (1.1%)

Compiler

Compiled 6519 to 3323 computations (49% saved)

prune50.0ms (0.6%)

Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New2716277
Fresh145
Picked101
Done066
Total27316289
Error
0b
Counts
289 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
▶16.0b
(/.f64 (+.f64 2 (*.f64 -2 x)) 2)
16.0b
(/.f64 (-.f64 2 x) 2)
30.2b
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) -1)) 2)
✓47.2b
(*.f64 1/2 0)
▶46.9b
(/.f64 (*.f64 eps (*.f64 x (*.f64 x (/.f64 eps (exp.f64 x))))) 2)
▶62.1b
(/.f64 (*.f64 2 x) 2)
✓2.9b
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) 2)) 2)
16.2b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 1)) 2)
▶0.7b
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x))))
✓28.1b
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))) 2)
11.4b
(/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
✓15.8b
(*.f64 1/2 2)
✓47.1b
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
62.2b
(/.f64 (*.f64 2 (*.f64 x (-.f64 1 x))) 2)
▶0.7b
(/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
✓0.5b
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
Compiler

Compiled 351 to 266 computations (24.2% saved)

localize24.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

Compiled 66 to 33 computations (50% saved)

series13.0ms (0.1%)

Counts
4 → 40
Calls

24 calls:

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

rewrite75.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
628×prod-diff_binary64
538×log-prod_binary64
320×fma-def_binary64
296×pow2_binary64
205×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
123443
2314443
Stop Event
1×node limit
Counts
4 → 185
Calls
Call 1
Inputs
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
(*.f64 (-.f64 eps 1) x)
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (neg.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -2)) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -1/2) (pow.f64 (exp.f64 (fma.f64 eps x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) -2) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 eps x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (neg.f64 (cbrt.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (neg.f64 (sqrt.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (exp.f64 (fma.f64 eps x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 eps x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (fma.f64 eps x x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 eps x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (pow.f64 (E.f64) (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 eps x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (fma.f64 eps x x)))) (pow.f64 (E.f64) (*.f64 1/3 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 1/2 (fma.f64 eps x x))) (pow.f64 (E.f64) (*.f64 1/2 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 (*.f64 eps x) 1)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (fma.f64 eps x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (fma.f64 eps x x)))) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (cbrt.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (+.f64 1 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) 1) (cbrt.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 eps x x)))) (cbrt.f64 (sqrt.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(exp.f64 (neg.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -1/2) (pow.f64 (exp.f64 (fma.f64 eps x x)) -1/2) (pow.f64 (exp.f64 (+.f64 eps -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))) (pow.f64 (exp.f64 (+.f64 eps -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) -2) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (pow.f64 (exp.f64 (+.f64 eps -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (+.f64 eps -1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (+.f64 eps -1)) x))) 1))))))

simplify55.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
471×distribute-rgt-in_binary64
438×distribute-lft-in_binary64
400×unsub-neg_binary64
392×sub-neg_binary64
377×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01411022
1517859
21830776
37001670
Stop Event
1×node limit
Counts
225 → 235
Calls
Call 1
Inputs
(/.f64 1 (exp.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps x) (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps x) (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))) (pow.f64 eps 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (exp.f64 x))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 eps x) (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))) (pow.f64 eps 2))))))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) (+.f64 (*.f64 -1 (pow.f64 (+.f64 eps 1) 2)) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 eps 1) 3)) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 1 eps))))) (pow.f64 x 3))))))
(exp.f64 x)
(+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 x) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))))
1
(+.f64 1 (*.f64 (+.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (+.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (/.f64 x (exp.f64 x))) eps) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))))) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (/.f64 x (exp.f64 x))) eps) (exp.f64 (*.f64 -1 x)))))
(+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (exp.f64 x))))))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))))) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (/.f64 x (exp.f64 x))) eps) (exp.f64 (*.f64 -1 x))))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 eps 1) 2)) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 1 eps) 3)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 eps 1) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2)))))))) (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 eps 1) 2)) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))))
Outputs
(/.f64 1 (exp.f64 x))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps x) (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 -1 (/.f64 (*.f64 x eps) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 (/.f64 eps (exp.f64 x)) x))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 eps (exp.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps x) (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))) (pow.f64 eps 2)))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x eps) (exp.f64 x)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2) (*.f64 eps eps))))
(-.f64 (fma.f64 (*.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x))) (*.f64 eps eps) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 eps (exp.f64 x)) x))
(-.f64 (fma.f64 (*.f64 x (*.f64 x (/.f64 1/2 (exp.f64 x)))) (*.f64 eps eps) (exp.f64 (neg.f64 x))) (*.f64 x (/.f64 eps (exp.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (exp.f64 x))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 eps x) (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))) (pow.f64 eps 2))))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (*.f64 x (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2)) (*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/3))) (+.f64 (fma.f64 -1 (/.f64 (*.f64 x eps) (exp.f64 x)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2) (*.f64 eps eps)))))
(fma.f64 (neg.f64 (pow.f64 eps 3)) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/3 (*.f64 x (*.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (-.f64 (fma.f64 (*.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x))) (*.f64 eps eps) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 eps (exp.f64 x)) x)))
(-.f64 (fma.f64 (*.f64 x (*.f64 x (/.f64 1/2 (exp.f64 x)))) (*.f64 eps eps) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 x (/.f64 eps (exp.f64 x))) (*.f64 (pow.f64 eps 3) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/3 (*.f64 1/2 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))
(-.f64 (fma.f64 (*.f64 x (*.f64 x (/.f64 1/2 (exp.f64 x)))) (*.f64 eps eps) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 x (/.f64 eps (exp.f64 x))) (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))))))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 1 (neg.f64 (*.f64 x (+.f64 1 eps))))
(-.f64 1 (fma.f64 x eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2)))))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 x (+.f64 1 eps)) (*.f64 (*.f64 x x) (fma.f64 -1 (pow.f64 (+.f64 1 eps) 2) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))))))
(-.f64 (-.f64 1 (fma.f64 x eps x)) (*.f64 (*.f64 x x) (*.f64 -1/2 (pow.f64 (+.f64 1 eps) 2))))
(-.f64 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) 1) (fma.f64 x eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) (+.f64 (*.f64 -1 (pow.f64 (+.f64 eps 1) 2)) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 eps 1) 3)) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 1 eps))))) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 1 eps)) (*.f64 -1 (+.f64 (*.f64 (*.f64 x x) (fma.f64 -1 (pow.f64 (+.f64 1 eps) 2) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))) (*.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 (+.f64 1 eps) 3) (fma.f64 -1/2 (pow.f64 (+.f64 1 eps) 3) (neg.f64 (*.f64 (+.f64 1 eps) (fma.f64 -1 (pow.f64 (+.f64 1 eps) 2) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))))))))))))
(+.f64 1 (-.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) -1/3) (*.f64 -1/2 (pow.f64 (+.f64 1 eps) 3)))))) (fma.f64 x eps x)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (fma.f64 x eps x))))
(-.f64 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) 1) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (fma.f64 x eps x)))
(exp.f64 x)
(+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))
(fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x)))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 x) (*.f64 x x))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x)))
(fma.f64 1/2 (*.f64 (exp.f64 x) (*.f64 (*.f64 x x) (*.f64 eps eps))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x)))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps 1/2))) (*.f64 x eps))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 x) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 x) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 x) (*.f64 x x))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x))))
(fma.f64 1/6 (*.f64 (exp.f64 x) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 1/2 (*.f64 (exp.f64 x) (*.f64 (*.f64 x x) (*.f64 eps eps))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x))))
(+.f64 (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps 1/2))) (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 eps 3) 1/6)))))
1
(+.f64 1 (*.f64 (+.f64 eps 1) x))
(+.f64 1 (*.f64 x (+.f64 1 eps)))
(+.f64 1 (fma.f64 x eps x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (+.f64 eps 1) x)))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (+.f64 1 (*.f64 x (+.f64 1 eps))))
(+.f64 (fma.f64 x eps x) (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) 1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (+.f64 1 (fma.f64 (+.f64 1 eps) x (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (fma.f64 x eps x)) (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) 1))
(fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (+.f64 1 (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (fma.f64 x eps x))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 eps -1))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 eps -1))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 eps -1))
(-.f64 (*.f64 x eps) x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 eps -1))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 eps -1))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 eps -1))
(-.f64 (*.f64 x eps) x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 eps -1))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 eps -1))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 eps -1))
(-.f64 (*.f64 x eps) x)
(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(*.f64 2 (exp.f64 (neg.f64 x)))
(/.f64 2 (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (/.f64 x (exp.f64 x))) eps) (exp.f64 (*.f64 -1 x))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) eps (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (-.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x)))) (/.f64 2 (exp.f64 x)))
(+.f64 (*.f64 eps 0) (/.f64 2 (exp.f64 x)))
(+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))))) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (/.f64 x (exp.f64 x))) eps) (exp.f64 (*.f64 -1 x)))))
(fma.f64 (*.f64 eps eps) (-.f64 (*.f64 1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2)) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) eps (exp.f64 (neg.f64 x)))))
(fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x)))) (+.f64 (*.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x)))))
(fma.f64 (*.f64 eps eps) (*.f64 1/2 (+.f64 (*.f64 x (/.f64 x (exp.f64 x))) (*.f64 x (/.f64 x (exp.f64 x))))) (+.f64 (*.f64 eps (-.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x)))) (/.f64 2 (exp.f64 x))))
(fma.f64 (*.f64 x (/.f64 x (exp.f64 x))) (*.f64 eps eps) (+.f64 (*.f64 eps 0) (/.f64 2 (exp.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (exp.f64 x))))))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))))) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (/.f64 x (exp.f64 x))) eps) (exp.f64 (*.f64 -1 x))))))
(fma.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))) (fma.f64 -1 (*.f64 x (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2)) (*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/3))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2)) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) eps (exp.f64 (neg.f64 x))))))
(fma.f64 (pow.f64 eps 3) (-.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/3 (*.f64 x (*.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x)))))) (fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x)))) (+.f64 (*.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x))))))
(fma.f64 (pow.f64 eps 3) (+.f64 (*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/3) (*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3)) (fma.f64 (*.f64 eps eps) (*.f64 1/2 (+.f64 (*.f64 x (/.f64 x (exp.f64 x))) (*.f64 x (/.f64 x (exp.f64 x))))) (+.f64 (*.f64 eps (-.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x)))) (/.f64 2 (exp.f64 x)))))
(fma.f64 (pow.f64 eps 3) 0 (fma.f64 (*.f64 x (/.f64 x (exp.f64 x))) (*.f64 eps eps) (+.f64 (*.f64 eps 0) (/.f64 2 (exp.f64 x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 eps 1) 2)) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))
(+.f64 2 (fma.f64 -2 x (*.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (fma.f64 -1 (pow.f64 (+.f64 1 eps) 2) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))))))
(+.f64 2 (fma.f64 (*.f64 x x) (fma.f64 1/2 (pow.f64 (+.f64 -1 eps) 2) (neg.f64 (*.f64 -1/2 (pow.f64 (+.f64 1 eps) 2)))) (*.f64 x -2)))
(+.f64 2 (*.f64 x (+.f64 -2 (*.f64 x (fma.f64 1/2 (pow.f64 (+.f64 -1 eps) 2) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 1 eps) 3)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 eps 1) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2)))))))) (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 eps 1) 2)) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))))
(fma.f64 (-.f64 (*.f64 1/6 (pow.f64 (+.f64 eps -1) 3)) (fma.f64 1/6 (pow.f64 (+.f64 1 eps) 3) (fma.f64 -1/2 (pow.f64 (+.f64 1 eps) 3) (neg.f64 (*.f64 (+.f64 1 eps) (fma.f64 -1 (pow.f64 (+.f64 1 eps) 2) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))))))) (pow.f64 x 3) (+.f64 2 (fma.f64 -2 x (*.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (fma.f64 -1 (pow.f64 (+.f64 1 eps) 2) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))))))))
(+.f64 (fma.f64 (*.f64 x x) (fma.f64 1/2 (pow.f64 (+.f64 -1 eps) 2) (neg.f64 (*.f64 -1/2 (pow.f64 (+.f64 1 eps) 2)))) (*.f64 x -2)) (fma.f64 (pow.f64 x 3) (-.f64 (*.f64 1/6 (pow.f64 (+.f64 -1 eps) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) -1/3) (*.f64 -1/2 (pow.f64 (+.f64 1 eps) 3)))) 2))
(+.f64 (*.f64 x (+.f64 -2 (*.f64 x (fma.f64 1/2 (pow.f64 (+.f64 -1 eps) 2) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))))) (fma.f64 (pow.f64 x 3) (*.f64 1/6 (-.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 (+.f64 1 eps) 3))) 2))
(+.f64 (*.f64 x (+.f64 -2 (*.f64 x (fma.f64 1/2 (pow.f64 (+.f64 -1 eps) 2) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))))) (fma.f64 (pow.f64 x 3) (*.f64 1/6 (+.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 (-.f64 -1 eps) 3))) 2))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 2 x) 2)
✓0.2b
(/.f64 (*.f64 2 x) 2)
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/.f64 (*.f64 2 x) 2)
0.0ms
x
@0
(/.f64 (*.f64 2 x) 2)
0.0ms
x
@inf
(/.f64 (*.f64 2 x) 2)

rewrite34.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
438×pow1_binary64
434×add-sqr-sqrt_binary64
421×*-un-lft-identity_binary64
413×add-log-exp_binary64
413×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11101
213551
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(/.f64 (*.f64 2 x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (*.f64 (cbrt.f64 (*.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 x)) (*.f64 (sqrt.f64 (*.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
37 → 26
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (+.f64 2 (*.f64 -2 x)) 2)
✓0.2b
(/.f64 (+.f64 2 (*.f64 -2 x)) 2)
Compiler

Compiled 20 to 16 computations (20% saved)

series5.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/.f64 (+.f64 2 (*.f64 -2 x)) 2)
1.0ms
x
@inf
(/.f64 (+.f64 2 (*.f64 -2 x)) 2)
0.0ms
x
@-inf
(/.f64 (+.f64 2 (*.f64 -2 x)) 2)

rewrite46.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
783×pow1_binary64
734×add-log-exp_binary64
733×log1p-expm1-u_binary64
733×expm1-log1p-u_binary64
723×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11588
219638
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(/.f64 (+.f64 2 (*.f64 -2 x)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 -2 x 2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2 x 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 -2 x 2) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 -2 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 2)) 2) (*.f64 (cbrt.f64 (fma.f64 -2 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 -2 x 2) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -2 x 2) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -2 x 2) 1/2)) 2) (cbrt.f64 (*.f64 (fma.f64 -2 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 x 2)) (*.f64 (sqrt.f64 (fma.f64 -2 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 -2 x 2) 1/2)) (sqrt.f64 (*.f64 (fma.f64 -2 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 -2 x 2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (fma.f64 -2 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -2 x 2) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -2 x 2) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -2 x 2) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 -2 x 2) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 -2 x 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 -2 x 2) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -2 x 2) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -2 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -2 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -2 x 2) 1/2)))))))

simplify9.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0661
11143
21543
31943
42543
53543
64643
75843
86143
Stop Event
1×saturated
Counts
35 → 28
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (*.f64 -1 x))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(*.f64 x (*.f64 x (/.f64 eps (exp.f64 x))))
0.0b
(/.f64 (*.f64 eps (*.f64 x (*.f64 x (/.f64 eps (exp.f64 x))))) 2)
0.0b
(*.f64 x (/.f64 eps (exp.f64 x)))
0.0b
(/.f64 eps (exp.f64 x))
✓0.0b
(*.f64 x (/.f64 eps (exp.f64 x)))
✓0.0b
(/.f64 (*.f64 eps (*.f64 x (*.f64 x (/.f64 eps (exp.f64 x))))) 2)
✓0.0b
(*.f64 x (*.f64 x (/.f64 eps (exp.f64 x))))
✓4.2b
(*.f64 eps (*.f64 x (*.f64 x (/.f64 eps (exp.f64 x)))))
Compiler

Compiled 47 to 10 computations (78.7% saved)

series16.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 x (/.f64 eps (exp.f64 x)))
1.0ms
x
@inf
(*.f64 eps (*.f64 x (*.f64 x (/.f64 eps (exp.f64 x)))))
1.0ms
x
@-inf
(*.f64 eps (*.f64 x (*.f64 x (/.f64 eps (exp.f64 x)))))
1.0ms
eps
@0
(*.f64 eps (*.f64 x (*.f64 x (/.f64 eps (exp.f64 x)))))
1.0ms
x
@-inf
(*.f64 x (/.f64 eps (exp.f64 x)))

rewrite67.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
608×log-prod_binary64
419×pow-prod-down_binary64
300×pow-unpow_binary64
276×pow2_binary64
200×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01054
121654
2292348
Stop Event
1×node limit
Counts
4 → 121
Calls
Call 1
Inputs
(*.f64 eps (*.f64 x (*.f64 x (/.f64 eps (exp.f64 x)))))
(*.f64 x (*.f64 x (/.f64 eps (exp.f64 x))))
(/.f64 (*.f64 eps (*.f64 x (*.f64 x (/.f64 eps (exp.f64 x))))) 2)
(*.f64 x (/.f64 eps (exp.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2) (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (pow.f64 (*.f64 eps x) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (pow.f64 (*.f64 eps x) 2)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (pow.f64 (*.f64 eps x) 2)) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (pow.f64 (*.f64 eps x) 2)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (pow.f64 (*.f64 eps x) 2)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (pow.f64 (*.f64 eps x) 2)) x) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 x (/.f64 (exp.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (/.f64 (exp.f64 x) eps)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (/.f64 (exp.f64 x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (/.f64 (exp.f64 x) eps))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (/.f64 (exp.f64 x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (/.f64 (exp.f64 x) eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 eps x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) eps) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 1) (/.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (neg.f64 eps)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps x) x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x (/.f64 (exp.f64 x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 eps (exp.f64 x)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 eps (exp.f64 x)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (/.f64 (exp.f64 x) eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (/.f64 eps (exp.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 eps (exp.f64 x))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 eps (exp.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x (/.f64 (exp.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x (/.f64 (exp.f64 x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 eps (exp.f64 x)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x (/.f64 (exp.f64 x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (/.f64 (exp.f64 x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (*.f64 x x) eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (*.f64 x x) eps)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (*.f64 (*.f64 x x) eps)) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (*.f64 (*.f64 x x) eps)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (/.f64 eps (exp.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 (*.f64 x x) eps)) x) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x))))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (/.f64 2 (*.f64 x (/.f64 x (/.f64 (exp.f64 x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 (*.f64 x (/.f64 x (/.f64 (exp.f64 x) eps))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x (/.f64 (exp.f64 x) eps))) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 2) 1/4)) (cbrt.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2)) (sqrt.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps x) (*.f64 (/.f64 x (/.f64 (exp.f64 x) eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps 2) (*.f64 x (/.f64 x (/.f64 (exp.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 2) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 1) (-.f64 (log.f64 (pow.f64 (*.f64 eps x) 2)) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (exp.f64 x)) 1/2)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (/.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 eps (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 eps (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 eps (exp.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 eps (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (exp.f64 x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 eps x)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps x) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps x) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps x) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 eps) x) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 eps)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (exp.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 (exp.f64 x) eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 (exp.f64 x) eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 (exp.f64 x) eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 (exp.f64 x) eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (*.f64 eps x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 (exp.f64 x) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 eps (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (exp.f64 x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 (exp.f64 x) eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 (exp.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (exp.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 eps x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 eps x)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (*.f64 eps x)) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (*.f64 eps x)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (*.f64 eps x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 eps x)) x) 1) 1))))))

simplify66.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
523×associate-*l*_binary64
503×distribute-rgt-neg-in_binary64
425×unsub-neg_binary64
424×associate-*r*_binary64
391×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0821573
12741519
210071445
351091445
Stop Event
1×node limit
Counts
217 → 159
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 eps 2))) (pow.f64 x 4))) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 eps 2))) (pow.f64 x 4))) (+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 2)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 eps 2)))))) (pow.f64 x 5))))))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(*.f64 eps (pow.f64 x 2))
(+.f64 (*.f64 -1 (*.f64 eps (pow.f64 x 3))) (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 eps) (*.f64 1/2 eps)) (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (*.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 eps) (+.f64 (*.f64 -1/2 eps) (*.f64 -1 (+.f64 (*.f64 -1 eps) (*.f64 1/2 eps))))) (pow.f64 x 5))) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 eps) (*.f64 1/2 eps)) (pow.f64 x 4))))))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 eps (pow.f64 x 2)) (exp.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 eps 2))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 eps 2))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 2)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 eps 2)))))) (pow.f64 x 5))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 eps) (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 eps) (+.f64 (*.f64 -1/2 eps) (*.f64 -1 (+.f64 (*.f64 -1 eps) (*.f64 1/2 eps))))) (pow.f64 x 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 eps) (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1 (*.f64 eps (pow.f64 x 2))))))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
(/.f64 (*.f64 eps x) (exp.f64 x))
Outputs
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (exp.f64 x))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 eps eps))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (exp.f64 x))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 eps eps))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (exp.f64 x))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 eps eps))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (exp.f64 x))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 eps eps))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (exp.f64 x))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 eps eps))
(/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))
(/.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (exp.f64 x))
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(/.f64 1/2 (/.f64 (exp.f64 x) (*.f64 (*.f64 eps x) (*.f64 eps x))))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) 1/2) (exp.f64 x))
(*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 x x)) 1/2)
(/.f64 1/2 (/.f64 (exp.f64 x) (*.f64 (*.f64 eps x) (*.f64 eps x))))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) 1/2) (exp.f64 x))
(*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 x x)) 1/2)
(/.f64 1/2 (/.f64 (exp.f64 x) (*.f64 (*.f64 eps x) (*.f64 eps x))))
(*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) 1/2)
(*.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) 1/2)
(*.f64 eps (*.f64 eps (*.f64 x (*.f64 x 1/2))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/2))
(fma.f64 (*.f64 eps (*.f64 eps -1/2)) (pow.f64 x 3) (*.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) 1/2))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 (pow.f64 x 3) -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 eps 2))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 eps eps) -1/2) (pow.f64 x 4)) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/2)))
(fma.f64 (*.f64 1/4 (*.f64 eps eps)) (pow.f64 x 4) (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (pow.f64 x 3) (*.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) 1/2)))
(fma.f64 (*.f64 (*.f64 eps eps) 1/4) (pow.f64 x 4) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 (pow.f64 x 3) -1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 eps 2))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 2)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 eps 2)))))) (pow.f64 x 5))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 eps eps) -1/2) (pow.f64 x 4)) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 -1/2 (+.f64 (*.f64 (fma.f64 1/6 (*.f64 eps eps) (fma.f64 -1/2 (*.f64 eps eps) (neg.f64 (*.f64 (*.f64 eps eps) -1/2)))) (pow.f64 x 5)) (*.f64 (*.f64 eps eps) (pow.f64 x 3))))))
(fma.f64 (*.f64 1/4 (*.f64 eps eps)) (pow.f64 x 4) (fma.f64 -1/2 (fma.f64 (+.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 (*.f64 eps eps) -1/3)) (pow.f64 x 5) (*.f64 (*.f64 eps eps) (pow.f64 x 3))) (*.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) 1/2)))
(+.f64 (*.f64 (pow.f64 x 5) (*.f64 (*.f64 eps eps) -1/12)) (fma.f64 (*.f64 (*.f64 eps eps) 1/4) (pow.f64 x 4) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 (pow.f64 x 3) -1/2)))))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) 1/2) (exp.f64 x))
(*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 x x)) 1/2)
(/.f64 1/2 (/.f64 (exp.f64 x) (*.f64 (*.f64 eps x) (*.f64 eps x))))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) 1/2) (exp.f64 x))
(*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 x x)) 1/2)
(/.f64 1/2 (/.f64 (exp.f64 x) (*.f64 (*.f64 eps x) (*.f64 eps x))))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) 1/2) (exp.f64 x))
(*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 x x)) 1/2)
(/.f64 1/2 (/.f64 (exp.f64 x) (*.f64 (*.f64 eps x) (*.f64 eps x))))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) 1/2) (exp.f64 x))
(*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 x x)) 1/2)
(/.f64 1/2 (/.f64 (exp.f64 x) (*.f64 (*.f64 eps x) (*.f64 eps x))))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) 1/2) (exp.f64 x))
(*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 x x)) 1/2)
(/.f64 1/2 (/.f64 (exp.f64 x) (*.f64 (*.f64 eps x) (*.f64 eps x))))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) 1/2) (exp.f64 x))
(*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 x x)) 1/2)
(/.f64 1/2 (/.f64 (exp.f64 x) (*.f64 (*.f64 eps x) (*.f64 eps x))))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) 1/2) (exp.f64 x))
(*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 x x)) 1/2)
(/.f64 1/2 (/.f64 (exp.f64 x) (*.f64 (*.f64 eps x) (*.f64 eps x))))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) 1/2) (exp.f64 x))
(*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 x x)) 1/2)
(/.f64 1/2 (/.f64 (exp.f64 x) (*.f64 (*.f64 eps x) (*.f64 eps x))))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 (*.f64 eps (pow.f64 x 2))))
(fma.f64 eps x (*.f64 (neg.f64 eps) (*.f64 x x)))
(fma.f64 eps x (*.f64 (*.f64 x x) (neg.f64 eps)))
(*.f64 eps (-.f64 x (*.f64 x x)))
(+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 eps) (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1 (*.f64 eps (pow.f64 x 2)))))
(fma.f64 eps x (fma.f64 -1 (*.f64 (pow.f64 x 3) (*.f64 eps -1/2)) (*.f64 (neg.f64 eps) (*.f64 x x))))
(-.f64 (fma.f64 eps x (*.f64 (pow.f64 x 3) (*.f64 eps 1/2))) (*.f64 eps (*.f64 x x)))
(fma.f64 eps x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps (*.f64 1/2 x)) eps)))
(+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 eps) (+.f64 (*.f64 -1/2 eps) (*.f64 -1 (+.f64 (*.f64 -1 eps) (*.f64 1/2 eps))))) (pow.f64 x 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 eps) (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1 (*.f64 eps (pow.f64 x 2))))))
(fma.f64 eps x (fma.f64 -1 (*.f64 (pow.f64 x 4) (fma.f64 1/6 eps (fma.f64 -1/2 eps (neg.f64 (*.f64 eps -1/2))))) (fma.f64 -1 (*.f64 (pow.f64 x 3) (*.f64 eps -1/2)) (*.f64 (neg.f64 eps) (*.f64 x x)))))
(fma.f64 eps x (fma.f64 (neg.f64 (+.f64 (*.f64 eps 1/2) (*.f64 eps -1/3))) (pow.f64 x 4) (-.f64 (*.f64 (pow.f64 x 3) (*.f64 eps 1/2)) (*.f64 eps (*.f64 x x)))))
(fma.f64 eps x (fma.f64 (*.f64 eps -1/6) (pow.f64 x 4) (*.f64 (*.f64 x x) (-.f64 (*.f64 eps (*.f64 1/2 x)) eps))))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))
(/.f64 (*.f64 eps x) (exp.f64 x))
(*.f64 x (/.f64 eps (exp.f64 x)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
2.8b
(-.f64 (log1p.f64 x) x)
✓2.8b
(-.f64 (log1p.f64 x) x)
Compiler

Compiled 31 to 12 computations (61.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (log1p.f64 x) x)
0.0ms
x
@inf
(-.f64 (log1p.f64 x) x)
0.0ms
x
@-inf
(-.f64 (log1p.f64 x) x)

rewrite42.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
513×pow1_binary64
496×add-sqr-sqrt_binary64
480×add-log-exp_binary64
480×expm1-log1p-u_binary64
479×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
1896
212706
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 (log1p.f64 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) x)) 2) (cbrt.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) x)) (sqrt.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 x (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 x (+.f64 x (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 x (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x x)) (+.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 x (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (log1p.f64 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (log1p.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 x) x)))))))

simplify43.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
626×fma-def_binary64
505×unsub-neg_binary64
444×sub-neg_binary64
434×fma-neg_binary64
323×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045180
1127154
2324151
31094145
43802145
57374145
Stop Event
1×node limit
Counts
47 → 54
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 x) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 x) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))
(*.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2))
(*.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/4 (pow.f64 x 4))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))))
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))))
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2)))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (*.f64 -1/4 (pow.f64 x 4)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x)))))
(fma.f64 1/5 (pow.f64 x 5) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))))
(fma.f64 1/5 (pow.f64 x 5) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2))))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 1/5 (pow.f64 x 5))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 x))
(*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) x))
(-.f64 (log.f64 x) x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 x) (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 x (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 x) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 x (/.f64 1 x))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (-.f64 (/.f64 1 x) x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) x) (-.f64 (log.f64 x) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1/2 (*.f64 x x)) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/2 (*.f64 x x)) (-.f64 (log.f64 x) x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 x)))
(*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) x))
(-.f64 (log.f64 x) x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 x (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 x (/.f64 1 x))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (-.f64 (/.f64 1 x) x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) x) (-.f64 (log.f64 x) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1/2 (*.f64 x x)) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/2 (*.f64 x x)) (-.f64 (log.f64 x) x)))

eval230.0ms (2.6%)

Compiler

Compiled 9580 to 5572 computations (41.8% saved)

prune92.0ms (1.1%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New4939502
Fresh235
Picked011
Done5510
Total50018518
Error
0b
Counts
518 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
62.1b
(*.f64 2 (/.f64 1 (/.f64 2 x)))
11.4b
(/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
12.4b
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 eps x))))
30.2b
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) -1)) 2)
✓47.2b
(*.f64 1/2 0)
✓47.1b
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
16.2b
(*.f64 1/2 (+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x))))
59.7b
(*.f64 eps (*.f64 eps (*.f64 x (*.f64 x 1/2))))
62.2b
(/.f64 (*.f64 2 (*.f64 x (-.f64 1 x))) 2)
✓2.9b
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) 2)) 2)
60.5b
(/.f64 (*.f64 eps (*.f64 x (*.f64 eps (-.f64 x (*.f64 x x))))) 2)
16.0b
(-.f64 1 x)
15.8b
1
62.1b
x
15.5b
(*.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 eps 1) x))) (exp.f64 (*.f64 (-.f64 eps 1) x))))
✓0.7b
(/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
✓28.1b
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))) 2)
✓0.5b
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
Compiler

Compiled 234 to 173 computations (26.1% saved)

regimes53.0ms (0.6%)

Counts
18 → 1
Calls
Call 1
Inputs
x
1
(-.f64 1 x)
(*.f64 1/2 0)
(*.f64 2 (/.f64 1 (/.f64 2 x)))
(/.f64 (*.f64 2 (*.f64 x (-.f64 1 x))) 2)
(*.f64 eps (*.f64 eps (*.f64 x (*.f64 x 1/2))))
(/.f64 (*.f64 eps (*.f64 x (*.f64 eps (-.f64 x (*.f64 x x))))) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(*.f64 1/2 (+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x))))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) 2)) 2)
(*.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 eps 1) x))) (exp.f64 (*.f64 (-.f64 eps 1) x))))
(/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
(/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) -1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))) 2)
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 eps x))))
Outputs
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
Calls

2 calls:

37.0ms
x
10.0ms
eps
Results
ErrorSegmentsBranch
0.5b1x
0.5b1eps
Compiler

Compiled 206 to 132 computations (35.9% saved)

regimes21.0ms (0.2%)

Counts
9 → 2
Calls
Call 1
Inputs
x
1
(-.f64 1 x)
(*.f64 1/2 0)
(*.f64 2 (/.f64 1 (/.f64 2 x)))
(/.f64 (*.f64 2 (*.f64 x (-.f64 1 x))) 2)
(*.f64 eps (*.f64 eps (*.f64 x (*.f64 x 1/2))))
(/.f64 (*.f64 eps (*.f64 x (*.f64 eps (-.f64 x (*.f64 x x))))) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
Outputs
1
(*.f64 1/2 0)
Calls

2 calls:

12.0ms
x
7.0ms
eps
Results
ErrorSegmentsBranch
1.0b2x
15.8b1eps
Compiler

Compiled 62 to 43 computations (30.6% saved)

bsearch133.0ms (1.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
133.0ms
1.6598120654486627e-14
67555522.79794525
Compiler

Compiled 146 to 139 computations (4.8% saved)

regimes9.0ms (0.1%)

Accuracy

Total -46.3b remaining (-293.2%)

Threshold costs -46.3b (-293.2%)

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

2 calls:

4.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
15.8b1x
15.8b1eps
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01625
11925
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 67000000) 1 (*.f64 1/2 0))
1
x
Outputs
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 67000000) 1 (*.f64 1/2 0))
(if (<=.f64 x 67000000) 1 0)
1
x

end29.0ms (0.3%)

Stop Event
1×fuel
Compiler

Compiled 46 to 38 computations (17.4% saved)

Profiling

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