Details

Time bar (total: 4.0s)

analyze6.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%75%25%3
25%37.5%37.5%4
37.5%18.7%43.8%5
43.7%9.4%46.9%6
46.9%4.7%48.5%7
48.4%2.3%49.2%8
49.2%1.2%49.6%9
49.6%0.6%49.8%10
49.8%0.3%49.9%11
49.9%0.1%50%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (30.4%)

Results
1.2s8256×body256valid
1.0ms12×body256invalid

preprocess36.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
396×fma-neg_binary64
375×fma-def_binary64
260×div-sub_binary64
121×times-frac_binary64
111×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11917
22517
33517
45817
58217
611717
718917
835617
957717
1078917
11113417
12152417
13194017
14218117
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify25.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
396×fma-neg_binary64
375×fma-def_binary64
260×div-sub_binary64
121×times-frac_binary64
111×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11917
22517
33517
45817
58217
611717
718917
835617
957717
1078917
11113417
12152417
13194017
14218117
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))

eval1.0ms (0%)

Compiler

Compiled 23 to 19 computations (17.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite63.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
420×log-prod_binary64
322×prod-exp_binary64
320×exp-prod_binary64
259×pow-prod-down_binary64
231×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
118036
2251536
Stop Event
1×node limit
Counts
3 → 145
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 1/6) (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/4) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (-.f64 -1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x -1 1)) (sqrt.f64 (-.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (neg.f64 (sqrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 2) (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/4) (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1 1) (/.f64 1 (-.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 3/4) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 -1 x) -1/2) (/.f64 (+.f64 x -1) (sqrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) -2) (/.f64 (+.f64 x -1) (cbrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 (-.f64 -1 x))) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (-.f64 -1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 5/6) (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (-.f64 -1 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (-.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (-.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 x -1)) 1) (log.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 x -1)) (*.f64 (log.f64 (-.f64 -1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 x -1)) 1) (*.f64 (log.f64 (-.f64 -1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1)) 1) (neg.f64 (log.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1/2) (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 1) (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) (*.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1/2) (*.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 1) (*.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1/2) (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (-.f64 -1 x))) (*.f64 (log.f64 (+.f64 x -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))))))

simplify35.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
909×fma-def_binary64
636×associate-*l*_binary64
499×associate-*r*_binary64
268×times-frac_binary64
267×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071655
1198600
2567565
31775508
Stop Event
1×node limit
Counts
181 → 177
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 -1) 2)
(+.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
Outputs
(pow.f64 (sqrt.f64 -1) 2)
-1
(+.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(+.f64 -1 x)
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(fma.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x x)) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(fma.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x x)) (+.f64 -1 x))
(+.f64 -1 (fma.f64 (*.f64 x x) (fma.f64 -1/2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2) -1) x))
(fma.f64 (fma.f64 x -1/2 1) x -1)
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(fma.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x x)) (fma.f64 1/2 (*.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3)) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(fma.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x x)) (+.f64 x (fma.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1) 1/2)) (pow.f64 x 3) -1)))
(fma.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2) -1)) (+.f64 -1 (fma.f64 (*.f64 x x) (fma.f64 -1/2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2) -1) x)))
(+.f64 -1 (fma.f64 x (*.f64 x (fma.f64 x 1/2 -1/2)) x))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (/.f64 (neg.f64 (sqrt.f64 -1)) x)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))))
(fma.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (neg.f64 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (/.f64 -1/2 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (sqrt.f64 -1) x)))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x)) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (/.f64 (neg.f64 (sqrt.f64 -1)) x)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))))
(fma.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (neg.f64 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (/.f64 -1/2 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (sqrt.f64 -1) x)))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x)) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 1))
(fma.f64 x (fma.f64 2 x -2) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
(fma.f64 x (fma.f64 2 x -2) (fma.f64 (pow.f64 x 3) -2 1))
-1
(pow.f64 (sqrt.f64 -1) 2)
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) 1)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 (/.f64 -2 x) x))))
-1
(pow.f64 (sqrt.f64 -1) 2)
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) 1)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 (/.f64 -2 x) x))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))))

eval73.0ms (1.8%)

Compiler

Compiled 2987 to 2554 computations (14.5% saved)

prune27.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1707177
Fresh000
Picked011
Done000
Total1708178
Error
0b
Counts
178 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -3/2))))
▶63.0b
(*.f64 2 (atan.f64 -1))
▶0.6b
(*.f64 2 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
▶1.1b
(*.f64 2 (atan.f64 (sqrt.f64 1)))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))
▶0.0b
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2)))
▶63.0b
(*.f64 2 (atan.f64 (+.f64 -1 x)))
Compiler

Compiled 150 to 132 computations (12% saved)

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite81.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
476×log-prod_binary64
379×exp-prod_binary64
276×prod-diff_binary64
271×pow2_binary64
249×pow-prod-down_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0938
120938
2287136
Stop Event
1×node limit
Counts
3 → 186
Calls
Call 1
Inputs
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 -1 x)))) (sqrt.f64 (/.f64 x (+.f64 -1 x))) (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 1 (+.f64 -1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 -1 x))) x (*.f64 (/.f64 1 (+.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 1 (+.f64 -1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 -1 x))) x (*.f64 (/.f64 1 (+.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 1 (+.f64 -1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 -1 x))) x (*.f64 (/.f64 1 (+.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 1 (+.f64 -1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 -1 x))) x (*.f64 (/.f64 1 (+.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (neg.f64 (*.f64 (/.f64 1 (+.f64 -1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 -1 x))) x (*.f64 (/.f64 1 (+.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (*.f64 (/.f64 1 (+.f64 -1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 -1 x))) x (*.f64 (/.f64 1 (+.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 x (+.f64 -1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) 1 (*.f64 (/.f64 x (+.f64 -1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 x (+.f64 -1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) 1 (*.f64 (/.f64 x (+.f64 -1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 x (+.f64 -1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) 1 (*.f64 (/.f64 x (+.f64 -1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 x (+.f64 -1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) 1 (*.f64 (/.f64 x (+.f64 -1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (neg.f64 (*.f64 (/.f64 x (+.f64 -1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) 1 (*.f64 (/.f64 x (+.f64 -1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (*.f64 (/.f64 x (+.f64 -1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) 1 (*.f64 (/.f64 x (+.f64 -1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2)))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2)))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2)))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2)))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2)))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2)))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x)))) (pow.f64 (+.f64 -1 x) -1/2) (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x)))) (pow.f64 (+.f64 -1 x) -1/2) (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x)))) (pow.f64 (+.f64 -1 x) -1/2) (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x)))) (pow.f64 (+.f64 -1 x) -1/2) (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x)))) (pow.f64 (+.f64 -1 x) -1/2) (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x)))) (pow.f64 (+.f64 -1 x) -1/2) (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 x (+.f64 -1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x))) (/.f64 x (+.f64 -1 (pow.f64 x 3))) (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 x (+.f64 -1 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 x (+.f64 -1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x))) (/.f64 x (+.f64 -1 (pow.f64 x 3))) (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 x (+.f64 -1 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 x (+.f64 -1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x))) (/.f64 x (+.f64 -1 (pow.f64 x 3))) (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 x (+.f64 -1 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 x (+.f64 -1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x))) (/.f64 x (+.f64 -1 (pow.f64 x 3))) (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 x (+.f64 -1 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (neg.f64 (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 x (+.f64 -1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x))) (/.f64 x (+.f64 -1 (pow.f64 x 3))) (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 x (+.f64 -1 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 x (+.f64 -1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x))) (/.f64 x (+.f64 -1 (pow.f64 x 3))) (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 x (+.f64 -1 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (+.f64 x 1) (/.f64 x (fma.f64 x x -1))))) (fma.f64 (neg.f64 (+.f64 x 1)) (/.f64 x (fma.f64 x x -1)) (*.f64 (+.f64 x 1) (/.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (+.f64 x 1) (/.f64 x (fma.f64 x x -1))))) (fma.f64 (neg.f64 (+.f64 x 1)) (/.f64 x (fma.f64 x x -1)) (*.f64 (+.f64 x 1) (/.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (+.f64 x 1) (/.f64 x (fma.f64 x x -1))))) (fma.f64 (neg.f64 (+.f64 x 1)) (/.f64 x (fma.f64 x x -1)) (*.f64 (+.f64 x 1) (/.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (+.f64 x 1) (/.f64 x (fma.f64 x x -1))))) (fma.f64 (neg.f64 (+.f64 x 1)) (/.f64 x (fma.f64 x x -1)) (*.f64 (+.f64 x 1) (/.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (/.f64 x (fma.f64 x x -1))))) (fma.f64 (neg.f64 (+.f64 x 1)) (/.f64 x (fma.f64 x x -1)) (*.f64 (+.f64 x 1) (/.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (*.f64 (+.f64 x 1) (/.f64 x (fma.f64 x x -1))))) (fma.f64 (neg.f64 (+.f64 x 1)) (/.f64 x (fma.f64 x x -1)) (*.f64 (+.f64 x 1) (/.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (+.f64 -1 x)) (/.f64 x (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 x) (/.f64 1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 1 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 1 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (neg.f64 x)) (/.f64 -1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 x)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (/.f64 (-.f64 -1 x) (cbrt.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -1 x) -1/2) (/.f64 (-.f64 -1 x) (sqrt.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 x)) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) 1) (/.f64 (sqrt.f64 (-.f64 -1 x)) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (sqrt.f64 (+.f64 -1 x))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (+.f64 -1 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) (sqrt.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -1 x) (fma.f64 -1 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (+.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (neg.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6) (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/4) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 -1 x) -1/2) (sqrt.f64 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) -1) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))

simplify45.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
298×distribute-neg-frac_binary64
291×distribute-rgt-neg-in_binary64
284×sub-neg_binary64
272×associate-/r/_binary64
252×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063559
1187525
2524473
31639468
44476468
Stop Event
1×node limit
Counts
222 → 217
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
Outputs
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)))
(+.f64 (/.f64 -2 x) (+.f64 -1 (/.f64 (/.f64 -2 x) x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)) (/.f64 2 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)))
(+.f64 (/.f64 -2 x) (+.f64 -1 (/.f64 (/.f64 -2 x) x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)) (/.f64 2 (pow.f64 x 3))))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2))
(atan.f64 (pow.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2))
(atan.f64 (pow.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2))
(atan.f64 (pow.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2))
(atan.f64 (pow.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2))
(atan.f64 (pow.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2))
(atan.f64 (pow.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2))
(atan.f64 (pow.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 x) (-.f64 x 1))) -1/2))
(atan.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) -1/2))
(atan.f64 (pow.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2))
(atan.f64 (pow.f64 (neg.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 1 (neg.f64 x)))) -1/2))
(atan.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 x -1 -1)) (-.f64 1 x)) -1/2))
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2))
(atan.f64 (pow.f64 (neg.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 1 (neg.f64 x)))) -1/2))
(atan.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 x -1 -1)) (-.f64 1 x)) -1/2))
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2))
(atan.f64 (pow.f64 (neg.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 1 (neg.f64 x)))) -1/2))
(atan.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 x -1 -1)) (-.f64 1 x)) -1/2))
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))
(atan.f64 (pow.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) 1) (+.f64 1 (*.f64 -1 x)))) -1/2))
(atan.f64 (pow.f64 (neg.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 1 (neg.f64 x)))) -1/2))
(atan.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 x -1 -1)) (-.f64 1 x)) -1/2))
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 (*.f64 x x) 1/2)) x))
(fma.f64 (pow.f64 x 3) -1/2 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(fma.f64 x (*.f64 x (+.f64 1/2 (*.f64 x -1/2))) (-.f64 1 x))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 (sqrt.f64 -1) x)) (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (neg.f64 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (/.f64 (sqrt.f64 -1) x)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x))) (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)))
(fma.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x)) (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 (sqrt.f64 -1) x)) (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (neg.f64 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (/.f64 (sqrt.f64 -1) x)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x))) (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)))
(fma.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x)) (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)))

localize2.0ms (0.1%)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(atan.f64 (+.f64 -1 x))
✓0.0b
(atan.f64 (+.f64 -1 x))

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(atan.f64 (+.f64 -1 x))
0.0ms
x
@-inf
(atan.f64 (+.f64 -1 x))
0.0ms
x
@inf
(atan.f64 (+.f64 -1 x))

rewrite38.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
538×pow1_binary64
524×add-sqr-sqrt_binary64
499×add-log-exp_binary64
499×log1p-expm1-u_binary64
499×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11046
212946
Stop Event
1×node limit
Counts
1 → 16
Calls
Call 1
Inputs
(atan.f64 (+.f64 -1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (+.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 -1 x))) 2) (cbrt.f64 (atan.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (+.f64 -1 x))) (sqrt.f64 (atan.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (+.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (+.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (+.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (+.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (+.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (+.f64 -1 x))))))))

simplify11.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
17×fma-neg_binary64
9×fma-def_binary64
7×cancel-sign-sub-inv_binary64
6×sub-neg_binary64
4×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01072
12172
23872
36572
48972
510872
611472
711572
Stop Event
1×saturated
Counts
28 → 19
Calls
Call 1
Inputs
(atan.f64 (-.f64 x 1))
(atan.f64 (-.f64 x 1))
(atan.f64 (-.f64 x 1))
(atan.f64 (-.f64 x 1))
(atan.f64 (-.f64 x 1))
(atan.f64 (-.f64 x 1))
(atan.f64 (-.f64 x 1))
(atan.f64 (-.f64 x 1))
(atan.f64 (neg.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (neg.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (neg.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (neg.f64 (+.f64 1 (*.f64 -1 x))))
Outputs
(atan.f64 (-.f64 x 1))
(atan.f64 (+.f64 x -1))
(atan.f64 (-.f64 x 1))
(atan.f64 (+.f64 x -1))
(atan.f64 (-.f64 x 1))
(atan.f64 (+.f64 x -1))
(atan.f64 (-.f64 x 1))
(atan.f64 (+.f64 x -1))
(atan.f64 (-.f64 x 1))
(atan.f64 (+.f64 x -1))
(atan.f64 (-.f64 x 1))
(atan.f64 (+.f64 x -1))
(atan.f64 (-.f64 x 1))
(atan.f64 (+.f64 x -1))
(atan.f64 (-.f64 x 1))
(atan.f64 (+.f64 x -1))
(atan.f64 (neg.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (+.f64 x -1))
(atan.f64 (neg.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (+.f64 x -1))
(atan.f64 (neg.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (+.f64 x -1))
(atan.f64 (neg.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (+.f64 x -1))

localize3.0ms (0.1%)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

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

rewrite44.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
743×pow1_binary64
691×add-log-exp_binary64
691×log1p-expm1-u_binary64
691×expm1-log1p-u_binary64
677×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
116216
2190316
Stop Event
1×node limit
Counts
2 → 39
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (fma.f64 -2 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2 x 1)) (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) (cbrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -2 x 1) 1/4) (pow.f64 (fma.f64 -2 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (*.f64 -8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 -2 x) (-.f64 (*.f64 -2 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 4 (*.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2 x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 -2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 -2 x 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) (sqrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))))

simplify32.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
866×distribute-rgt-neg-in_binary64
736×distribute-lft-neg-in_binary64
646×fma-def_binary64
572×associate-*l*_binary64
536×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02184
15881
212769
340265
4124163
5432863
Stop Event
1×node limit
Counts
47 → 48
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x))
(fma.f64 x (*.f64 x -1/2) (-.f64 1 x))
(fma.f64 x (fma.f64 x -1/2 -1) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (-.f64 (*.f64 -1/2 (+.f64 (pow.f64 x 3) (*.f64 x x))) x))
(fma.f64 -1/2 (+.f64 (*.f64 x x) (pow.f64 x 3)) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 -1/2)) 1) x)
(fma.f64 x (fma.f64 -1/2 (fma.f64 x x x) -1) 1)
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))

eval153.0ms (3.8%)

Compiler

Compiled 7446 to 5874 computations (21.1% saved)

prune34.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2804284
Fresh112
Picked101
Done415
Total2866292
Error
0b
Counts
292 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.1b
(*.f64 2 (atan.f64 1))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
▶0.0b
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2))))
▶0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))
▶0.3b
(*.f64 2 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
▶0.6b
(*.f64 2 (atan.f64 (-.f64 1 x)))
Compiler

Compiled 116 to 98 computations (15.5% saved)

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite58.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
501×log-prod_binary64
291×pow-prod-down_binary64
276×prod-diff_binary64
273×pow2_binary64
189×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01044
122138
2302438
Stop Event
1×node limit
Counts
3 → 109
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))
(atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))
(sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6) (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/4) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 -1 x) -1/2) (sqrt.f64 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2)) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/6) (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -1 x)) (pow.f64 (+.f64 -1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (neg.f64 x))) (sqrt.f64 (fma.f64 -1 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (-.f64 -1 x))) (neg.f64 (sqrt.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))))))

simplify36.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
567×associate-/l*_binary64
435×distribute-rgt-in_binary64
423×distribute-lft-in_binary64
400×associate-*l/_binary64
305×associate-/r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085875
1229730
2768639
32822599
Stop Event
1×node limit
Counts
145 → 142
Calls
Call 1
Inputs
1
(+.f64 1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(pow.f64 (sqrt.f64 -1) 2)
(+.f64 (*.f64 -1 x) (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (*.f64 -1 x) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 3))) (+.f64 (*.f64 -1 x) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))))))
(sqrt.f64 -1)
(+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(sqrt.f64 -1)
(+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
Outputs
1
(+.f64 1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 1 (/.f64 x -1))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1) (*.f64 x x)) (/.f64 x -1)))
(+.f64 1 (fma.f64 -1/2 (*.f64 x (neg.f64 x)) (/.f64 x -1)))
(+.f64 (/.f64 x (/.f64 2 x)) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 1 (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x))) (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 1 (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (/.f64 -1 (pow.f64 x 3))) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1) (*.f64 x x)) (/.f64 x -1))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x (neg.f64 x)) (fma.f64 1/2 (neg.f64 (pow.f64 x 3)) (/.f64 x -1))))
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 x -1)) (-.f64 1 x))
(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (-.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/2 x) -1)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (-.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (-.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (-.f64 1/2 (/.f64 1/2 x)))))
(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (-.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/2 x) -1)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (-.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (-.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (-.f64 1/2 (/.f64 1/2 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (fma.f64 -1 x -1)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (fma.f64 -1 x -1)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (fma.f64 -1 x -1)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) (sqrt.f64 -1)))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (fma.f64 -1 x -1)))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) (sqrt.f64 -1)))
(pow.f64 (sqrt.f64 -1) 2)
-1
(+.f64 (*.f64 -1 x) (pow.f64 (sqrt.f64 -1) 2))
(fma.f64 -1 x (pow.f64 (sqrt.f64 -1) 2))
(-.f64 -1 x)
(+.f64 (*.f64 -1 x) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)))))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2))) -1) x)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 3))) (+.f64 (*.f64 -1 x) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))))))
(fma.f64 -1/2 (*.f64 (pow.f64 x 3) (+.f64 (+.f64 (/.f64 2 (pow.f64 (sqrt.f64 -1) 2)) 2) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (+.f64 (fma.f64 -1 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2))))))
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2))) -1) x))
(-.f64 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) -1)) x)
(*.f64 (+.f64 1 x) (fma.f64 -1/2 (*.f64 x x) -1))
(sqrt.f64 -1)
(+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 1/2 x) 1) (/.f64 (sqrt.f64 -1) x)))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (+.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (fma.f64 1/2 (+.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (sqrt.f64 -1)))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (/.f64 1/2 x) 1))))
(sqrt.f64 -1)
(+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 1/2 x) 1) (/.f64 (sqrt.f64 -1) x)))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (+.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (fma.f64 1/2 (+.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (sqrt.f64 -1)))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (/.f64 1/2 x) 1))))

localize2.0ms (0.1%)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite34.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
508×pow1_binary64
494×add-sqr-sqrt_binary64
472×add-log-exp_binary64
472×log1p-expm1-u_binary64
472×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11026
212376
Stop Event
1×node limit
Counts
1 → 16
Calls
Call 1
Inputs
(atan.f64 (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))))

simplify8.0ms (0.2%)

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
0732
11224
21624
32024
42724
53724
64824
76024
86324
Stop Event
1×saturated
Counts
20 → 18
Calls
Call 1
Inputs
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
Outputs
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite46.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
751×pow1_binary64
699×add-log-exp_binary64
699×log1p-expm1-u_binary64
699×expm1-log1p-u_binary64
685×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114611
2184011
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 1/2) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 1/2) 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/2) (+.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 x (*.f64 x 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x 1/2) 1)))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 x (*.f64 x 1/2) 1)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (*.f64 x 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x 1/2) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))))

simplify47.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
509×fma-neg_binary64
422×cancel-sign-sub-inv_binary64
391×distribute-rgt-neg-in_binary64
323×sub-neg_binary64
307×associate--r-_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
012119
127117
249105
311889
430989
591989
6227589
7434489
8560089
Stop Event
1×node limit
Counts
49 → 46
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2))
0.0b
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)
0.0b
(/.f64 (-.f64 -1 x) (+.f64 -1 x))
0.0b
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)))
✓0.0b
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)))
✓0.0b
(/.f64 (-.f64 -1 x) (+.f64 -1 x))
✓0.0b
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2))

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite88.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
506×log-prod_binary64
285×pow2_binary64
274×pow-prod-down_binary64
209×prod-diff_binary64
195×pow-to-exp_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01055
122351
2297449
Stop Event
1×node limit
Counts
4 → 224
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2))
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)
(/.f64 (-.f64 -1 x) (+.f64 -1 x))
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6) (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/4) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -9/2) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 2) -3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/4) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 -1 x) -3/2) (pow.f64 (+.f64 -1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1) (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 5/2) (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -9/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 2)) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) -3/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 -1 x)))) (sqrt.f64 (/.f64 x (+.f64 -1 x))) (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 1 (+.f64 -1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 -1 x))) x (*.f64 (/.f64 1 (+.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 1 (+.f64 -1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 -1 x))) x (*.f64 (/.f64 1 (+.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 1 (+.f64 -1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 -1 x))) x (*.f64 (/.f64 1 (+.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 1 (+.f64 -1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 -1 x))) x (*.f64 (/.f64 1 (+.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (*.f64 (/.f64 1 (+.f64 -1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 -1 x))) x (*.f64 (/.f64 1 (+.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 -1 x) (neg.f64 (*.f64 (/.f64 1 (+.f64 -1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 -1 x))) x (*.f64 (/.f64 1 (+.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 x (+.f64 -1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) 1 (*.f64 (/.f64 x (+.f64 -1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 x (+.f64 -1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) 1 (*.f64 (/.f64 x (+.f64 -1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 x (+.f64 -1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) 1 (*.f64 (/.f64 x (+.f64 -1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 x (+.f64 -1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) 1 (*.f64 (/.f64 x (+.f64 -1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (*.f64 (/.f64 x (+.f64 -1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) 1 (*.f64 (/.f64 x (+.f64 -1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 -1 x) (neg.f64 (*.f64 (/.f64 x (+.f64 -1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 -1 x))) 1 (*.f64 (/.f64 x (+.f64 -1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 -1 x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2)))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2)))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2)))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2)))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2)))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 -1 x) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2)))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (*.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x)))) (pow.f64 (+.f64 -1 x) -1/2) (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x)))) (pow.f64 (+.f64 -1 x) -1/2) (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x)))) (pow.f64 (+.f64 -1 x) -1/2) (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x)))) (pow.f64 (+.f64 -1 x) -1/2) (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x)))) (pow.f64 (+.f64 -1 x) -1/2) (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 -1 x) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x)))) (pow.f64 (+.f64 -1 x) -1/2) (*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 -1 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 -1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 -1 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (/.f64 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 -1 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 -1 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 -1 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 x (+.f64 -1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (+.f64 1 (fma.f64 x x x))) (/.f64 x (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 x (+.f64 -1 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 x (+.f64 -1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (+.f64 1 (fma.f64 x x x))) (/.f64 x (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 x (+.f64 -1 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 x (+.f64 -1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (+.f64 1 (fma.f64 x x x))) (/.f64 x (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 x (+.f64 -1 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 x (+.f64 -1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (+.f64 1 (fma.f64 x x x))) (/.f64 x (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 x (+.f64 -1 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 x (+.f64 -1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (+.f64 1 (fma.f64 x x x))) (/.f64 x (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 x (+.f64 -1 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 -1 x) (neg.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 x (+.f64 -1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (+.f64 1 (fma.f64 x x x))) (/.f64 x (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 x (+.f64 -1 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (*.f64 (-.f64 -1 x) (/.f64 x (-.f64 1 (*.f64 x x)))))) (fma.f64 (neg.f64 (-.f64 -1 x)) (/.f64 x (-.f64 1 (*.f64 x x))) (*.f64 (-.f64 -1 x) (/.f64 x (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (*.f64 (-.f64 -1 x) (/.f64 x (-.f64 1 (*.f64 x x)))))) (fma.f64 (neg.f64 (-.f64 -1 x)) (/.f64 x (-.f64 1 (*.f64 x x))) (*.f64 (-.f64 -1 x) (/.f64 x (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (-.f64 -1 x) (/.f64 x (-.f64 1 (*.f64 x x)))))) (fma.f64 (neg.f64 (-.f64 -1 x)) (/.f64 x (-.f64 1 (*.f64 x x))) (*.f64 (-.f64 -1 x) (/.f64 x (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (*.f64 (-.f64 -1 x) (/.f64 x (-.f64 1 (*.f64 x x)))))) (fma.f64 (neg.f64 (-.f64 -1 x)) (/.f64 x (-.f64 1 (*.f64 x x))) (*.f64 (-.f64 -1 x) (/.f64 x (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (*.f64 (-.f64 -1 x) (/.f64 x (-.f64 1 (*.f64 x x)))))) (fma.f64 (neg.f64 (-.f64 -1 x)) (/.f64 x (-.f64 1 (*.f64 x x))) (*.f64 (-.f64 -1 x) (/.f64 x (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 -1 x) (neg.f64 (*.f64 (-.f64 -1 x) (/.f64 x (-.f64 1 (*.f64 x x)))))) (fma.f64 (neg.f64 (-.f64 -1 x)) (/.f64 x (-.f64 1 (*.f64 x x))) (*.f64 (-.f64 -1 x) (/.f64 x (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (+.f64 -1 x)) (/.f64 x (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 x) (/.f64 1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 1 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 1 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 -1 x)) (/.f64 -1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 x)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 x)) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) 1) (/.f64 (sqrt.f64 (-.f64 -1 x)) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (/.f64 (-.f64 -1 x) (cbrt.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -1 x) -1/2) (/.f64 (-.f64 -1 x) (sqrt.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (sqrt.f64 (+.f64 -1 x))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (+.f64 -1 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -1 x) (fma.f64 -1 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (+.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (+.f64 -1 x)) (neg.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (neg.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (sqrt.f64 (/.f64 -1 (+.f64 -1 x))) (neg.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 -1 x) (neg.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))

simplify44.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
796×associate-/l*_binary64
554×associate-*l/_binary64
430×associate-/l/_binary64
426×fma-def_binary64
340×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0113906
1317856
2980736
33636709
Stop Event
1×node limit
Counts
272 → 269
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
1
(+.f64 (*.f64 -3 x) 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -11/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))
(fma.f64 x (*.f64 x (+.f64 1/2 (*.f64 x -1/2))) (-.f64 1 x))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3)) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3)) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
1
(+.f64 (*.f64 -3 x) 1)
(fma.f64 -3 x 1)
(fma.f64 x -3 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (fma.f64 -3 x 1) (*.f64 (*.f64 x x) 9/2))
(fma.f64 x -3 (fma.f64 (*.f64 x x) 9/2 1))
(fma.f64 x -3 (fma.f64 x (*.f64 x 9/2) 1))
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -11/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 x 1) (fma.f64 -11/2 (pow.f64 x 3) (*.f64 (*.f64 x x) 9/2)))
(+.f64 (fma.f64 (*.f64 x x) 9/2 (*.f64 (pow.f64 x 3) -11/2)) (fma.f64 x -3 1))
(fma.f64 x -3 (fma.f64 x (*.f64 x 9/2) (fma.f64 (pow.f64 x 3) -11/2 1)))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 x x)))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -3 (/.f64 9/2 x))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (+.f64 (sqrt.f64 -1) (/.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 x x)))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (/.f64 -11/2 x) 9/2)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -3 (+.f64 (/.f64 9/2 x) (/.f64 -11/2 (*.f64 x x))))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 x x)))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -3 (/.f64 9/2 x))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (+.f64 (sqrt.f64 -1) (/.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 x x)))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (/.f64 -11/2 x) 9/2)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -3 (+.f64 (/.f64 9/2 x) (/.f64 -11/2 (*.f64 x x))))))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(fma.f64 2 (*.f64 x x) (fma.f64 x 2 1))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 x 2 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (*.f64 x x)) -1))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (*.f64 x x)) -1))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))))

eval433.0ms (10.9%)

Compiler

Compiled 16840 to 13329 computations (20.8% saved)

prune117.0ms (3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New6173620
Fresh000
Picked011
Done145
Total6188626
Error
0b
Counts
626 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓1.1b
(*.f64 2 (atan.f64 1))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
✓0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))
▶0.6b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
▶0.2b
(*.f64 2 (atan.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 x -1)) (-.f64 1 x))))
▶0.3b
(*.f64 2 (atan.f64 (+.f64 (/.f64 x (/.f64 2 x)) (-.f64 1 x))))
✓0.0b
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2))))
✓0.6b
(*.f64 2 (atan.f64 (-.f64 1 x)))
Compiler

Compiled 93 to 78 computations (16.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite65.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
474×fma-def_binary64
435×log-prod_binary64
337×exp-prod_binary64
300×pow-prod-down_binary64
240×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
118818
2281318
Stop Event
1×node limit
Counts
2 → 157
Calls
Call 1
Inputs
(/.f64 x (/.f64 2 x))
(+.f64 (/.f64 x (/.f64 2 x)) (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/2))) (sqrt.f64 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 2) (*.f64 (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) -2) (/.f64 x (cbrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 2 x) -1/2) (/.f64 x (sqrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 2 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 2 (pow.f64 x -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 1/2))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 x 1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 2 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (/.f64 2 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (+.f64 (fma.f64 x (*.f64 x 1/2) -1) x)) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (fma.f64 x (*.f64 x 1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (fma.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (+.f64 (fma.f64 x (*.f64 x 1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (-.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 x (*.f64 x 1/2) -1) x) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 x (*.f64 (*.f64 x 1/2) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2)) (+.f64 (fma.f64 x (*.f64 x 1/2) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (-.f64 1 x) 3))) (neg.f64 (fma.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (+.f64 (fma.f64 x (*.f64 x 1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (+.f64 1 (fma.f64 x x x)) (*.f64 (/.f64 2 x) (-.f64 1 (pow.f64 x 3)))) (*.f64 (/.f64 2 x) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 1 (fma.f64 x x x)) (*.f64 (*.f64 2 (pow.f64 x -2)) (-.f64 1 (pow.f64 x 3)))) (*.f64 (*.f64 2 (pow.f64 x -2)) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 x) (+.f64 1 (fma.f64 x x x)) (*.f64 (/.f64 -2 x) (-.f64 1 (pow.f64 x 3)))) (*.f64 (/.f64 -2 x) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 x x x) (*.f64 (/.f64 2 x) (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 2 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (*.f64 (*.f64 2 (pow.f64 x -2)) (-.f64 1 (*.f64 x x)))) (*.f64 (*.f64 2 (pow.f64 x -2)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 x) (+.f64 x 1) (*.f64 (/.f64 -2 x) (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 -2 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 2 x) (*.f64 (+.f64 1 (fma.f64 x x x)) x)) (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 2 x) (fma.f64 x x x)) (*.f64 (+.f64 x 1) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 2 (pow.f64 x -2)) (*.f64 (+.f64 1 (fma.f64 x x x)) 1)) (*.f64 (+.f64 1 (fma.f64 x x x)) (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (*.f64 2 (pow.f64 x -2)) (*.f64 (+.f64 x 1) 1)) (*.f64 (+.f64 x 1) (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 -2 x) (*.f64 (+.f64 1 (fma.f64 x x x)) (neg.f64 x))) (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 -2 x) (*.f64 (+.f64 x 1) (neg.f64 x))) (*.f64 (+.f64 x 1) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 2) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 2) (*.f64 x x)) (+.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2)) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (-.f64 1 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 x (*.f64 x 1/2) -1) x) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))) (sqrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 x (*.f64 x 1/2) 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/2)))) (exp.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/2)))) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 1/2)) 1 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x 1/2) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 1 (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/2))) (sqrt.f64 (*.f64 x (*.f64 x 1/2))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (/.f64 -2 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 x x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 2) (*.f64 (cbrt.f64 x) x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 2) (pow.f64 x 3/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 2 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 2 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) -2) (/.f64 x (cbrt.f64 (/.f64 2 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 2 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 2 x) -1/2) (/.f64 x (sqrt.f64 (/.f64 2 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 2 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 2 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (*.f64 x 1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x -2) (neg.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/2) 1) x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))))

simplify53.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
504×fma-neg_binary64
424×cancel-sign-sub-inv_binary64
391×distribute-rgt-neg-in_binary64
322×sub-neg_binary64
309×associate--r-_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
012203
127201
249189
3119173
4309173
5941173
62312173
74378173
85631173
Stop Event
1×node limit
Counts
181 → 165
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (+.f64 (*.f64 1/2 x) -1))
(*.f64 x (fma.f64 1/2 x -1))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (+.f64 (*.f64 1/2 x) -1))
(*.f64 x (fma.f64 1/2 x -1))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series6.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 -1/2 (*.f64 x x))
1.0ms
x
@inf
(*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 x -1))
1.0ms
x
@-inf
(*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 x -1))
1.0ms
x
@0
(*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 x -1))
0.0ms
x
@0
(*.f64 -1/2 (*.f64 x x))

rewrite81.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
749×fma-def_binary64
627×log-prod_binary64
353×fma-neg_binary64
342×pow2_binary64
234×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01256
127056
2378756
Stop Event
1×node limit
Counts
4 → 195
Calls
Call 1
Inputs
(*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 x -1))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 x -1)) (-.f64 1 x))
(atan.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 x -1)) (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1) (*.f64 (*.f64 (*.f64 x x) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)) (+.f64 x -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)) (+.f64 x -1)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 x 3)) 3) (pow.f64 (*.f64 (*.f64 x x) 1/2) 3)) (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 x 3)) 2) (-.f64 (pow.f64 (*.f64 (*.f64 x x) 1/2) 2) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 (*.f64 x x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -1/2 (pow.f64 x 3)) 2) (pow.f64 (*.f64 (*.f64 x x) 1/2) 2)) (-.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (*.f64 x x))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x x) 1/2)) (exp.f64 (*.f64 -1/2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (pow.f64 x 3) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 (*.f64 x x) -1) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -1/2 (*.f64 x x)) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 -1/2 x) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/2 (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (*.f64 x x)) x (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (*.f64 x x)) -1 (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 x x) 1/2) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) x) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) -1) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 -1/2 (*.f64 x x))) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) x) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) -1) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 x x))) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/2 (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 x 3)) 1 (*.f64 (*.f64 (*.f64 x x) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 x) (*.f64 x x) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 x) (neg.f64 x) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 2) (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 3))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 3))) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1)) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/2 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/2 (pow.f64 x 3))) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 -1/2))) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 -1/2))) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (*.f64 x x)) -1/2 (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2)) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (*.f64 -1/2 x)) x (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 x (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2)) (+.f64 (fma.f64 (*.f64 (+.f64 x -1) -1/2) (*.f64 x x) -1) x)) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (fma.f64 (*.f64 (+.f64 x -1) -1/2) (*.f64 x x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)) (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x (*.f64 x (+.f64 x -1))) 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (fma.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))) (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2)) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (+.f64 (fma.f64 (*.f64 (+.f64 x -1) -1/2) (*.f64 x x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))) (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2))) (fma.f64 -1/8 (pow.f64 (*.f64 x (*.f64 x (+.f64 x -1))) 3) (pow.f64 (-.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 (*.f64 (+.f64 x -1) -1/2) (*.f64 x x) -1) x) (-.f64 (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2)) (pow.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x (*.f64 x (+.f64 x -1))) 3) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))) (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x (*.f64 x (+.f64 x -1))) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2)) (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 (+.f64 x -1) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2)) (pow.f64 (-.f64 1 x) 2)) (+.f64 (fma.f64 (*.f64 (+.f64 x -1) -1/2) (*.f64 x x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x (*.f64 x (+.f64 x -1))) 3) (pow.f64 (-.f64 1 x) 3))) (neg.f64 (fma.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))) (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2)) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (+.f64 (fma.f64 (*.f64 (+.f64 x -1) -1/2) (*.f64 x x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) 2) (fma.f64 x x (*.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) 2) (*.f64 x x)) (+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2))) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))) (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2))) (fma.f64 -1/8 (pow.f64 (*.f64 x (*.f64 x (+.f64 x -1))) 3) (pow.f64 (-.f64 1 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 (*.f64 (+.f64 x -1) -1/2) (*.f64 x x) -1) x) (-.f64 (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2)) (pow.f64 (-.f64 1 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))))) (exp.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)) (+.f64 x -1)) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))))) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1)) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (pow.f64 x 3) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 x (*.f64 x (+.f64 x -1))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -1/2 (*.f64 x x)) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 -1/2 x) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (*.f64 x x)) x (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 x -1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) (*.f64 -1/2 (*.f64 x x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))) 1 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (pow.f64 x 3)) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 1 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))) 2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (+.f64 x -1)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) x) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (*.f64 -1/2 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 -1/2 (*.f64 x x))) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 (+.f64 x -1))) (*.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 (+.f64 x -1))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) (+.f64 x -1)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) x) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 x x))) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 -1/2 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 1) 1)) (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x (+.f64 x -1))) -1/2 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 x) (*.f64 x x) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 x) (*.f64 x (+.f64 x -1)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 3))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 3))) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1)) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/2 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/2 (pow.f64 x 3))) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 -1/2))) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 -1/2))) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1) -1/2) (*.f64 x x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1) (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1) (*.f64 -1/2 x)) x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2)) (fma.f64 (*.f64 x x) 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))) 2) (cbrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))) (sqrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 x -1)) 1) x))))))))

simplify86.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
671×fma-neg_binary64
427×fma-def_binary64
410×cancel-sign-sub-inv_binary64
316×unsub-neg_binary64
282×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035639
193613
2231518
3689497
42248497
55312497
67880497
Stop Event
1×node limit
Counts
243 → 216
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 x 2))))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 x 2))))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 x 2))))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 x 2))))))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/2)
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/2)
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/2)
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/2)
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/2)
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/2)
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/2)
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/2)
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/2)
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/2)
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/2)
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/2)
(*.f64 x (*.f64 x -1/2))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))
(fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x)))
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x))
(*.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))
(fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x)))
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (neg.f64 x))
(*.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))
(fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 -1/2 (+.f64 x -1)) (*.f64 x x))) x))
(atan.f64 (-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x -1)) 1) x))
(atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 -1/2 (+.f64 x -1)) (*.f64 x x))) x))
(atan.f64 (-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x -1)) 1) x))
(atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 -1/2 (+.f64 x -1)) (*.f64 x x))) x))
(atan.f64 (-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x -1)) 1) x))
(atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 -1/2 (+.f64 x -1)) (*.f64 x x))) x))
(atan.f64 (-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x -1)) 1) x))
(atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 -1/2 (+.f64 x -1)) (*.f64 x x))) x))
(atan.f64 (-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x -1)) 1) x))
(atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 -1/2 (+.f64 x -1)) (*.f64 x x))) x))
(atan.f64 (-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x -1)) 1) x))
(atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 -1/2 (+.f64 x -1)) (*.f64 x x))) x))
(atan.f64 (-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x -1)) 1) x))
(atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 (-.f64 x 1) (pow.f64 x 2)))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 -1/2 (+.f64 x -1)) (*.f64 x x))) x))
(atan.f64 (-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x -1)) 1) x))
(atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 x 2))))))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 -1/2 (+.f64 x -1)) (*.f64 x x))) x))
(atan.f64 (-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x -1)) 1) x))
(atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 x 2))))))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 -1/2 (+.f64 x -1)) (*.f64 x x))) x))
(atan.f64 (-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x -1)) 1) x))
(atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 x 2))))))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 -1/2 (+.f64 x -1)) (*.f64 x x))) x))
(atan.f64 (-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x -1)) 1) x))
(atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 x 2))))))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 -1/2 (+.f64 x -1)) (*.f64 x x))) x))
(atan.f64 (-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x -1)) 1) x))
(atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))
(atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))

localize6.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
0.0b
(+.f64 1 (atan.f64 (-.f64 1 x)))
0.0b
(atan.f64 (-.f64 1 x))
0.0b
(atan.f64 (-.f64 1 x))
✓0.0b
(+.f64 1 (atan.f64 (-.f64 1 x)))
✓0.0b
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
0.0ms
x
@-inf
(+.f64 1 (atan.f64 (-.f64 1 x)))
0.0ms
x
@0
(+.f64 1 (atan.f64 (-.f64 1 x)))
0.0ms
x
@-inf
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
0.0ms
x
@inf
(+.f64 1 (atan.f64 (-.f64 1 x)))

rewrite60.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
849×pow1_binary64
794×add-log-exp_binary64
794×log1p-expm1-u_binary64
794×expm1-log1p-u_binary64
781×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
116315
2227615
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1)) (+.f64 (atan.f64 (-.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x atan.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) 1) (-.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))))

simplify12.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
010108
117108
220108
324108
431108
541108
652108
764108
867108
Stop Event
1×saturated
Counts
88 → 75
Calls
Call 1
Inputs
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
Outputs
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))

eval340.0ms (8.6%)

Compiler

Compiled 9349 to 7061 computations (24.5% saved)

prune99.0ms (2.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New4731474
Fresh000
Picked011
Done167
Total4748482
Error
0b
Counts
482 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.2b
(*.f64 2 (atan.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 x -1)) (-.f64 1 x))))
0.3b
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
✓1.1b
(*.f64 2 (atan.f64 1))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
✓0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))))
✓0.6b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓0.0b
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -3/2))))
✓0.6b
(*.f64 2 (atan.f64 (-.f64 1 x)))
Compiler

Compiled 93 to 78 computations (16.1% saved)

regimes40.0ms (1%)

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

9 calls:

8.0ms
x
4.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
4.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
3.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
3.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 249 to 203 computations (18.5% saved)

regimes73.0ms (1.8%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 -1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (+.f64 -1 x)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.f64 2 (atan.f64 (+.f64 (/.f64 x (/.f64 2 x)) (-.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 x -1)) (-.f64 1 x))))
(*.f64 2 (atan.f64 (sqrt.f64 1)))
(*.f64 2 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
(*.f64 2 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
Calls

9 calls:

37.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
7.0ms
x
3.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
3.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
3.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 198 to 160 computations (19.2% saved)

regimes14.0ms (0.3%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 -1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (+.f64 -1 x)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.f64 2 (atan.f64 (+.f64 (/.f64 x (/.f64 2 x)) (-.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 x -1)) (-.f64 1 x))))
(*.f64 2 (atan.f64 (sqrt.f64 1)))
(*.f64 2 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
(*.f64 2 (atan.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
Outputs
(*.f64 2 (atan.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 x -1)) (-.f64 1 x))))
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 98 to 80 computations (18.4% saved)

regimes8.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 -1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (+.f64 -1 x)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.f64 2 (atan.f64 (+.f64 (/.f64 x (/.f64 2 x)) (-.f64 1 x))))
Outputs
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
Calls

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
Compiler

Compiled 57 to 47 computations (17.5% saved)

regimes6.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 -1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (+.f64 -1 x)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
Outputs
(*.f64 2 (atan.f64 (-.f64 1 x)))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.6b1x
Compiler

Compiled 33 to 29 computations (12.1% saved)

regimes4.0ms (0.1%)

Accuracy

Total -61.9b remaining (-5597.9%)

Threshold costs -61.9b (-5597.9%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
1.1b1x
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify37.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
48×distribute-rgt-neg-in_binary64
45×cancel-sign-sub-inv_binary64
29×distribute-lft-neg-in_binary64
28×distribute-lft-neg-out_binary64
24×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03492
15792
27692
310492
413492
516992
619292
722092
824892
927792
1030192
1132592
1233892
1335292
1436592
1536992
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(*.f64 2 (atan.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 x -1)) (-.f64 1 x))))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Outputs
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) -1/2)))
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1/2)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(*.f64 2 (atan.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 x -1)) (-.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 (*.f64 (+.f64 -1 x) (*.f64 -1/2 (*.f64 x x))) (-.f64 1 x))))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.f64 2 (atan.f64 (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2))))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))

end54.0ms (1.4%)

Stop Event
1×fuel
Compiler

Compiled 129 to 105 computations (18.6% saved)

Profiling

Loading profile data...