Details

Time bar (total: 15.0s)

analyze6.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%49.7%50.3%0
0%49.7%50.3%1
0%49.7%50.3%2
24.8%24.8%50.3%3
37.3%12.4%50.3%4
43.5%6.2%50.3%5
46.6%3.1%50.3%6
48.1%1.6%50.3%7
48.9%0.8%50.3%8
49.3%0.4%50.3%9
49.5%0.2%50.3%10
49.6%0.1%50.3%11
49.6%0%50.3%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample9.8s (65.4%)

Results
7.6s4130×body2048valid
1.5s2132×body1024valid
311.0ms227×body4096valid
259.0ms1020×body512valid
139.0ms747×body256valid

preprocess112.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11112
21712
32512
43512
55312
69012
712412
816912
920512
1023112
1123312
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Outputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11112
21712
32512
43512
55312
69012
712412
816912
920512
1023112
1123312
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Outputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))

eval1.0ms (0%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
59.7b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶59.7b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.7b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
0.0b
(/.f64 1 (tan.f64 x))
✓0.0b
(/.f64 1 (tan.f64 x))
✓3.7b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 20 to 12 computations (40% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite65.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
883×pow1_binary64
823×add-log-exp_binary64
823×log1p-expm1-u_binary64
823×expm1-log1p-u_binary64
805×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
116018
2235818
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(/.f64 1 (tan.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 1 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x)))) (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (tan.f64 x)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (tan.f64 x)) (*.f64 x -1)) (*.f64 x (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (neg.f64 (tan.f64 x))) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (/.f64 -1 (tan.f64 x)) (/.f64 -1 (tan.f64 x))) (*.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 -1 (tan.f64 x)) (/.f64 -1 (tan.f64 x)))) (-.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 (tan.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) -1) (pow.f64 (sqrt.f64 (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 x))))))))

simplify63.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
855×fma-def_binary64
710×distribute-rgt-neg-in_binary64
624×unswap-sqr_binary64
602×distribute-lft-neg-in_binary64
435×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039281
196275
2220275
3578275
41064275
52169275
63026275
74051275
84548275
96449275
Stop Event
1×node limit
Counts
88 → 83
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
(+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
(+.f64 (*.f64 -2/945 (pow.f64 x 5)) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))
(fma.f64 1/45 (pow.f64 x 3) (fma.f64 1/3 x (*.f64 2/945 (pow.f64 x 5))))
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 2/945 (pow.f64 x 5)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/4725 (pow.f64 x 7))))
(fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/4725 (pow.f64 x 7))))
(fma.f64 1/45 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (*.f64 1/3 x))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (fma.f64 1/4725 (pow.f64 x 7) (*.f64 2/945 (pow.f64 x 5)))))
(fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (fma.f64 1/4725 (pow.f64 x 7) (*.f64 2/945 (pow.f64 x 5))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 1 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
(fma.f64 -1/3 x (/.f64 1 x))
(fma.f64 x -1/3 (/.f64 1 x))
(+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
(fma.f64 -1/45 (pow.f64 x 3) (fma.f64 -1/3 x (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/45 (fma.f64 x -1/3 (/.f64 1 x)))
(fma.f64 x -1/3 (fma.f64 (pow.f64 x 3) -1/45 (/.f64 1 x)))
(fma.f64 x (fma.f64 x (*.f64 x -1/45) -1/3) (/.f64 1 x))
(+.f64 (*.f64 -2/945 (pow.f64 x 5)) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
(fma.f64 -2/945 (pow.f64 x 5) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 -1/3 x (/.f64 1 x))))
(fma.f64 (pow.f64 x 5) -2/945 (fma.f64 (pow.f64 x 3) -1/45 (fma.f64 x -1/3 (/.f64 1 x))))
(fma.f64 (pow.f64 x 3) -1/45 (fma.f64 (pow.f64 x 5) -2/945 (fma.f64 x -1/3 (/.f64 1 x))))
(fma.f64 x (fma.f64 x (*.f64 x -1/45) -1/3) (fma.f64 (pow.f64 x 5) -2/945 (/.f64 1 x)))
(fma.f64 x -1/3 (fma.f64 (pow.f64 x 3) -1/45 (fma.f64 (pow.f64 x 5) -2/945 (/.f64 1 x))))
(fma.f64 x -1/3 (fma.f64 (pow.f64 x 5) -2/945 (fma.f64 (pow.f64 x 3) -1/45 (/.f64 1 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))

eval25.0ms (0.2%)

Compiler

Compiled 1123 to 725 computations (35.4% saved)

prune17.0ms (0.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New76783
Fresh000
Picked101
Done000
Total77784
Error
0.3b
Counts
84 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.8b
(*.f64 1/3 x)
59.7b
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
▶59.8b
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
59.7b
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
▶0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
▶0.4b
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
▶0.4b
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
Compiler

Compiled 158 to 120 computations (24.1% saved)

localize24.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/45 (pow.f64 x 3))
0.1b
(*.f64 2/945 (pow.f64 x 5))
0.0b
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
0.0b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
✓0.0b
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
✓0.1b
(*.f64 2/945 (pow.f64 x 5))
✓0.1b
(*.f64 1/45 (pow.f64 x 3))
✓0.3b
(*.f64 1/3 x)
Compiler

Compiled 52 to 41 computations (21.2% saved)

series7.0ms (0%)

Counts
4 → 3
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 1/3 x)
1.0ms
x
@0
(*.f64 2/945 (pow.f64 x 5))
1.0ms
x
@0
(*.f64 1/45 (pow.f64 x 3))
1.0ms
x
@inf
(*.f64 1/45 (pow.f64 x 3))
1.0ms
x
@inf
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))

rewrite67.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
557×log-prod_binary64
329×pow2_binary64
320×pow-prod-down_binary64
308×fma-def_binary64
229×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
128832
2329032
Stop Event
1×node limit
Counts
4 → 125
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 2/945 (pow.f64 x 5))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/45 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2025 (pow.f64 x 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/91125 (pow.f64 x 9)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2025 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/91125 (pow.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -44/45)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -44/45)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 1/45))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/91125 (pow.f64 x 9))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/945 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 4/893025) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 15) 8/843908625) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 4/893025))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 15) 8/843908625))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 x) (log.f64 2/945)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 2/945)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/945 (pow.f64 x 5)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 15) 8/843908625)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/893025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 -1/45 (pow.f64 x 3)))) (/.f64 (*.f64 1/2025 (pow.f64 x 6)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 15) 8/843908625 (*.f64 1/91125 (pow.f64 x 9))) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 10) 4/893025 (*.f64 1/2025 (pow.f64 x 6))) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 1/2025 (pow.f64 x 6))) (/.f64 1 (fma.f64 2/945 (pow.f64 x 5) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 10) 4/893025 (*.f64 1/2025 (pow.f64 x 6))) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5)))) (fma.f64 (pow.f64 x 15) 8/843908625 (*.f64 1/91125 (pow.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 -1/45 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 1/2025 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 15) 8/843908625 (*.f64 1/91125 (pow.f64 x 9))) (-.f64 (fma.f64 (pow.f64 x 10) 4/893025 (*.f64 1/2025 (pow.f64 x 6))) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 15) 8/843908625 (*.f64 1/91125 (pow.f64 x 9))) (fma.f64 1/2025 (pow.f64 x 6) (-.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 1/2025 (pow.f64 x 6))) (fma.f64 2/945 (pow.f64 x 5) (*.f64 -1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 15) 8/843908625 (*.f64 1/91125 (pow.f64 x 9)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 10) 4/893025 (*.f64 1/2025 (pow.f64 x 6))) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 1/2025 (pow.f64 x 6)))) (neg.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (pow.f64 x 10) 4/893025)) (-.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 10) 4/893025 (*.f64 1/2025 (pow.f64 x 6))) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5)))) (fma.f64 (pow.f64 x 15) 8/843908625 (*.f64 1/91125 (pow.f64 x 9)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 -1/45 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 1/2025 (pow.f64 x 6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (exp.f64 2/945) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5)))) (pow.f64 (exp.f64 1/45) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5)) (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) 1/45) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/45 (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/45 (pow.f64 x 3)) 1 (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 2/945 (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/945 (pow.f64 x 5)) 1 (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x 1/45) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) 2/945) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 1/45)) (pow.f64 (*.f64 x (cbrt.f64 1/45)) 2) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/45)) 2) (*.f64 x (cbrt.f64 1/45)) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 4/893025)) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 4/893025)) (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2)) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 2/945) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 1/45) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/45 x) (*.f64 x x) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/45 (*.f64 x x)) x (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/45 (pow.f64 x 3/2)) (pow.f64 x 3/2) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/945 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/945 (pow.f64 x 5/2)) (pow.f64 x 5/2) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))))))))

simplify109.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1252×sqr-pow_binary64
710×cube-prod_binary64
698×pow-sqr_binary64
675×fabs-mul_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
12421
25021
39921
421421
562221
691221
7154821
8165621
9181821
10203521
11236521
12282121
13341821
14416921
15509721
16560121
17608721
18648521
19680921
20696721
Stop Event
1×node limit
Counts
128 → 127
Calls
Call 1
Inputs
(*.f64 1/45 (pow.f64 x 3))
(*.f64 2/945 (pow.f64 x 5))
(*.f64 2/945 (pow.f64 x 5))
Outputs
(*.f64 1/45 (pow.f64 x 3))
(*.f64 2/945 (pow.f64 x 5))
(*.f64 2/945 (pow.f64 x 5))

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/3 x)
0.3b
(*.f64 1/3 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize13.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
3.8b
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
0.3b
(*.f64 -1/3 x)
0.0b
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
✓0.0b
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
✓0.3b
(*.f64 -1/3 x)
✓3.8b
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
Compiler

Compiled 28 to 20 computations (28.6% saved)

series3.0ms (0%)

Counts
3 → 15
Calls

9 calls:

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

rewrite76.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
635×unpow-prod-down_binary64
533×fma-def_binary64
404×log-prod_binary64
267×pow-prod-down_binary64
236×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
118326
2269026
Stop Event
1×node limit
Counts
3 → 217
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
(*.f64 -1/3 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x)) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x)) (*.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) -2)) (cbrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2) (+.f64 -1/3 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2) (+.f64 -1/3 (pow.f64 x -2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2)) (pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) 1) (pow.f64 (-.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))) 2) 3) (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2) (+.f64 -1/3 (pow.f64 x -2)))) (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2) (+.f64 -1/3 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2) (+.f64 -1/3 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2))) (neg.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (fma.f64 1/9 (*.f64 x x) (pow.f64 x -2)) -1/3) (*.f64 x (fma.f64 -1/27 (pow.f64 x 3) (pow.f64 x -3)))) (*.f64 x (-.f64 (fma.f64 1/9 (*.f64 x x) (pow.f64 x -2)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (-.f64 (fma.f64 1/9 (*.f64 x x) (pow.f64 x -2)) -1/3) (neg.f64 (*.f64 (neg.f64 x) (fma.f64 -1/27 (pow.f64 x 3) (pow.f64 x -3))))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 1/9 (*.f64 x x) (pow.f64 x -2)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 x -1/3) (/.f64 1 x)) (*.f64 x (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)))) (*.f64 x (-.f64 (*.f64 x -1/3) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (-.f64 (*.f64 x -1/3) (/.f64 1 x)) (neg.f64 (*.f64 (neg.f64 x) (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2))))) (*.f64 (neg.f64 x) (-.f64 (*.f64 x -1/3) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x)) 3) (pow.f64 x -3)) (+.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x)) 2) (+.f64 (pow.f64 x -2) (*.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x)) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (*.f64 (/.f64 1 x) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x)) 2) (pow.f64 x -2)) (+.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (pow.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2)) (-.f64 (/.f64 1 x) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2) (+.f64 -1/3 (pow.f64 x -2)))) (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (E.f64) (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (/.f64 1 (exp.f64 (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (*.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/3 x)) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/3 x)) (*.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/3 x)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) -2)) (cbrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/3 x)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1 (*.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x))) 1 (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (fma.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (neg.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 x) -2) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 x) -2) (*.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (/.f64 1 x)) (*.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) (neg.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 x -1/3 (/.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 x)) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2) (+.f64 -1/3 (pow.f64 x -2))))) (fma.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2) (+.f64 -1/3 (pow.f64 x -2))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2) (+.f64 -1/3 (pow.f64 x -2))))) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x)))) 2) (cbrt.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (*.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) -2)) (cbrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (*.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) -2)) (cbrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 1/3 x))) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (+.f64 (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x -1/3))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x -1/3))) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x -1/3))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x -1/3))) (*.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x -1/3))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x -1/3))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) -2)) (cbrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x -1/3))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 x -1/3))) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2)) (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 1 x) (fma.f64 x -1/3 (/.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -1/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/3 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/9 (*.f64 x x)) (-.f64 (*.f64 x -1/3) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 x -1/3) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -1/3 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1/3 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/27 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/9 (*.f64 x x) (pow.f64 x -2)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/27 (pow.f64 x 3) (pow.f64 x -3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 1/9 (*.f64 x x) (pow.f64 x -2)) -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 x -1/3) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 (/.f64 1 (-.f64 (*.f64 x -1/3) (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 x -1/3 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) 2) 3) (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x -1/3 (/.f64 1 x)) (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 1/9 (*.f64 x x) (pow.f64 x -2)) -1/3) (fma.f64 -1/27 (pow.f64 x 3) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x -1/3) (/.f64 1 x)) (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/27 (pow.f64 x 3) (pow.f64 x -3)) (-.f64 (fma.f64 1/9 (*.f64 x x) (pow.f64 x -2)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/27 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/9 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x -1/3) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/27 (pow.f64 x 3) (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 1/9 (*.f64 x x) (pow.f64 x -2)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 x -1/3) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x))) (+.f64 (/.f64 1 x) (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 1/9 (*.f64 x x) (pow.f64 x -2)) -1/3) (fma.f64 -1/27 (pow.f64 x 3) (pow.f64 x -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x -1/3) (/.f64 1 x)) (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 -1/3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))) (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/3) x) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -1/3 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x -1/3 (/.f64 1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -1/3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1 (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/3) 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x -1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (cbrt.f64 (*.f64 x -1/3)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 x) -2) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (/.f64 1 x)) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/3)) (sqrt.f64 (*.f64 x -1/3)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -1/3 (/.f64 1 x))))))))

simplify13.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0860
11260
Stop Event
1×saturated
Counts
232 → 221
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(/.f64 1 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(/.f64 1 x)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
0.2b
(*.f64 x 1/45)
0.0b
(fma.f64 x (*.f64 x 1/45) 1/3)
✓0.0b
(fma.f64 x (*.f64 x 1/45) 1/3)
✓0.2b
(*.f64 x 1/45)
✓0.3b
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
Compiler

Compiled 21 to 14 computations (33.3% saved)

series6.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
1.0ms
x
@0
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
1.0ms
x
@inf
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
0.0ms
x
@0
(*.f64 x 1/45)
0.0ms
x
@0
(fma.f64 x (*.f64 x 1/45) 1/3)

rewrite55.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
641×pow1_binary64
595×add-log-exp_binary64
595×log1p-expm1-u_binary64
595×expm1-log1p-u_binary64
584×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
114223
2159223
Stop Event
1×node limit
Counts
3 → 45
Calls
Call 1
Inputs
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x 1/45)
(fma.f64 x (*.f64 x 1/45) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) x) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x 1/45))) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/45)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/45) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/45) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/45)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2025 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/45) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/45)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 (*.f64 x (*.f64 x 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/45)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/45) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3) 1/27) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 x (*.f64 x 1/45))) (-.f64 1/9 (*.f64 (*.f64 x (*.f64 x 1/45)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 x (*.f64 x 1/45))) 1/9) (-.f64 (*.f64 x (*.f64 x 1/45)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))))

simplify151.0ms (1%)

Algorithm
1×egg-herbie
Rules
969×sqr-pow_binary64
566×pow-sqr_binary64
563×cube-prod_binary64
536×unswap-sqr_binary64
533×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014270
133252
261252
3126252
4324252
51283252
62655252
72841252
83091252
93378252
103757252
114258252
124872252
135578252
146047252
156368252
166642252
176810252
186900252
197577252
Stop Event
1×node limit
Counts
81 → 56
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
1/3
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(*.f64 1/45 (pow.f64 x 2))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(*.f64 1/45 (pow.f64 x 2))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
1/3
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)

localize12.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/3 x)
0.1b
(*.f64 1/45 (pow.f64 x 3))
0.0b
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
✓0.0b
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
0.1b
(*.f64 1/45 (pow.f64 x 3))
0.3b
(*.f64 1/3 x)
Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
0.0ms
x
@inf
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
0.0ms
x
@-inf
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))

rewrite64.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
928×pow1_binary64
874×add-log-exp_binary64
874×log1p-expm1-u_binary64
874×expm1-log1p-u_binary64
857×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
120111
2239411
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 1/3 x) 2) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))) (/.f64 (*.f64 1/2025 (pow.f64 x 6)) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (-.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6))) (/.f64 1 (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (-.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x)))) (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))) (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (-.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/3 (*.f64 x (*.f64 1/45 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6))) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (-.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6)))) (neg.f64 (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (pow.f64 (*.f64 1/3 x) 2)) (-.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/45 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/45)) 2) (*.f64 x (cbrt.f64 1/45)) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))))

simplify124.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1333×sqr-pow_binary64
715×pow-sqr_binary64
530×cube-prod_binary64
471×fabs-mul_binary64
449×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
11818
23518
36018
411818
532818
6119018
7187718
8196418
9209718
10225518
11248918
12281118
13323218
14373218
15432518
16504718
17537018
18565418
19587618
20605418
21613618
22707618
Stop Event
1×node limit
Counts
40 → 39
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
Outputs
(*.f64 1/3 x)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))

eval232.0ms (1.5%)

Compiler

Compiled 9076 to 7003 computations (22.8% saved)

prune108.0ms (0.7%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New48716503
Fresh022
Picked101
Done224
Total49020510
Error
0.1b
Counts
510 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.8b
(*.f64 1/3 x)
42.6b
(+.f64 (sqrt.f64 (*.f64 1/9 (*.f64 x x))) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
▶59.7b
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
▶29.4b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
▶0.4b
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3) 1/27) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 x (*.f64 x 1/45))) (-.f64 1/9 (*.f64 (*.f64 x (*.f64 x 1/45)) 1/3)))))
0.4b
(+.f64 (*.f64 x (*.f64 x (*.f64 x 1/45))) (*.f64 x 1/3))
28.8b
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
1.9b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
28.4b
(/.f64 (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (pow.f64 (*.f64 1/3 x) 2)) (-.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x)))
29.7b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
39.9b
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
▶59.7b
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
▶0.4b
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
✓0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
1.6b
(*.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2))
58.7b
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1)
42.9b
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
41.7b
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (-.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x)))))
28.5b
(*.f64 (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6))) (/.f64 1 (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))))
41.8b
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (-.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x))))))
Compiler

Compiled 664 to 530 computations (20.2% saved)

localize56.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (*.f64 x (*.f64 x 1/45)) 3)
0.0b
(-.f64 1/9 (*.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
0.0b
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3) 1/27) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 x (*.f64 x 1/45))) (-.f64 1/9 (*.f64 (*.f64 x (*.f64 x 1/45)) 1/3))))
0.0b
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 x (*.f64 x 1/45))) (-.f64 1/9 (*.f64 (*.f64 x (*.f64 x 1/45)) 1/3)))
✓0.1b
(*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 x (*.f64 x 1/45)))
✓0.2b
(*.f64 (*.f64 x (*.f64 x 1/45)) 1/3)
0.2b
(*.f64 x 1/45)
✓0.3b
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3) 1/27) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 x (*.f64 x 1/45))) (-.f64 1/9 (*.f64 (*.f64 x (*.f64 x 1/45)) 1/3)))))
Compiler

Compiled 143 to 104 computations (27.3% saved)

series6.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3) 1/27) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 x (*.f64 x 1/45))) (-.f64 1/9 (*.f64 (*.f64 x (*.f64 x 1/45)) 1/3)))))
1.0ms
x
@0
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3) 1/27) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 x (*.f64 x 1/45))) (-.f64 1/9 (*.f64 (*.f64 x (*.f64 x 1/45)) 1/3)))))
1.0ms
x
@inf
(*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 x (*.f64 x 1/45)))
0.0ms
x
@inf
(*.f64 (*.f64 x (*.f64 x 1/45)) 1/3)
0.0ms
x
@0
(*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 x (*.f64 x 1/45)))

rewrite74.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
669×fma-def_binary64
393×fma-neg_binary64
323×expm1-udef_binary64
323×log1p-udef_binary64
253×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01763
140057
2541053
Stop Event
1×node limit
Counts
3 → 51
Calls
Call 1
Inputs
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3) 1/27) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 x (*.f64 x 1/45))) (-.f64 1/9 (*.f64 (*.f64 x (*.f64 x 1/45)) 1/3)))))
(*.f64 (*.f64 x (*.f64 x 1/45)) 1/3)
(*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 x (*.f64 x 1/45)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27)) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27)) 1) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135))) 2)) (cbrt.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27)) (hypot.f64 (*.f64 x (*.f64 x 1/45)) (sqrt.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))) (hypot.f64 (*.f64 x (*.f64 x 1/45)) (sqrt.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27)) x) (neg.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/135))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/135) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/135)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/135)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) 1/135) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/135) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/135) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/135)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/135)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/2025))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/2025) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/45))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/2025)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/2025))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/2025)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x (*.f64 x 1/45)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/45))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (*.f64 x 1/45)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/2025)))))))

simplify143.0ms (1%)

Algorithm
1×egg-herbie
Rules
982×sqr-pow_binary64
803×unswap-sqr_binary64
640×pow-sqr_binary64
636×cube-prod_binary64
542×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017285
137285
276285
3190285
4581285
51059285
62414285
72533285
82707285
92917285
103202285
113576285
124022285
134573285
145259285
155718285
166027285
176297285
186507285
196697285
207478285
Stop Event
1×node limit
Counts
87 → 58
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))

localize18.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
0.2b
(*.f64 x 1/45)
0.1b
(*.f64 x (*.f64 x 1/45))
0.0b
(+.f64 (*.f64 x (*.f64 x 1/45)) 1/3)
✓0.0b
(+.f64 (*.f64 x (*.f64 x 1/45)) 1/3)
✓0.1b
(*.f64 x (*.f64 x 1/45))
0.2b
(*.f64 x 1/45)
✓0.3b
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
Compiler

Compiled 28 to 19 computations (32.1% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
1.0ms
x
@0
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
0.0ms
x
@-inf
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
0.0ms
x
@inf
(*.f64 x (*.f64 x 1/45))
0.0ms
x
@0
(*.f64 x (*.f64 x 1/45))

rewrite75.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
907×pow1_binary64
850×add-log-exp_binary64
850×log1p-expm1-u_binary64
850×expm1-log1p-u_binary64
835×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
118026
2231226
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
(*.f64 x (*.f64 x 1/45))
(+.f64 (*.f64 x (*.f64 x 1/45)) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 1/45) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 (pow.f64 x 3) 1/45))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/45) 1) (*.f64 (*.f64 x 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/45) 3) (pow.f64 (*.f64 x 1/3) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/45) (*.f64 (pow.f64 x 3) 1/45)) (-.f64 (*.f64 (*.f64 x 1/3) (*.f64 x 1/3)) (*.f64 (*.f64 (pow.f64 x 3) 1/45) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/45) (*.f64 (pow.f64 x 3) 1/45)) (*.f64 (*.f64 x 1/3) (*.f64 x 1/3))) (-.f64 (*.f64 (pow.f64 x 3) 1/45) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/27 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125)) x) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) -1/9) x) (fma.f64 x (*.f64 x 1/45) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/27 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125))) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) -1/9)) (fma.f64 x (*.f64 x 1/45) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) 1/45 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) 1/45 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/45 1/3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x (*.f64 x 1/45)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 1/45)) x (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/45))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/45)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/45))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/45))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (*.f64 x x) 1/45 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (fma.f64 x (*.f64 x 1/45) -1/3)) (/.f64 1/9 (fma.f64 x (*.f64 x 1/45) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) 1/45 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) 1/45 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/27 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) -1/9) (/.f64 1 (fma.f64 x (*.f64 x 1/45) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))) (+.f64 1/27 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (*.f64 x 1/45) -1/3) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125)) (+.f64 1/9 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) -1/9) (fma.f64 x (*.f64 x 1/45) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) -1/9)) (neg.f64 (fma.f64 x (*.f64 x 1/45) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2)) (-.f64 1/3 (*.f64 x (*.f64 x 1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) 1/45 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/45 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/45 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) 1/45 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/45 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 1/45 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) 1/45 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/45) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/45) x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 1/45)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/45 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/45))) 2) (cbrt.f64 (*.f64 x (*.f64 x 1/45))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/45)) (*.f64 x (sqrt.f64 1/45)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/45 1/3)))))))

simplify148.0ms (1%)

Algorithm
1×egg-herbie
Rules
969×sqr-pow_binary64
566×pow-sqr_binary64
563×cube-prod_binary64
536×unswap-sqr_binary64
535×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013306
131288
261288
3135288
4340288
51307288
62695288
72881288
83132288
93419288
103798288
114300288
124914288
135620288
146093288
156416288
166688288
176856288
186946288
197623288
Stop Event
1×node limit
Counts
104 → 76
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
1/3
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(*.f64 1/45 (pow.f64 x 2))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(*.f64 1/45 (pow.f64 x 2))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
1/3
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)

localize43.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(*.f64 -1/3 x)
0.1b
(*.f64 -1/45 (pow.f64 x 3))
0.0b
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
0.0b
(+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
0.0b
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
✓0.1b
(*.f64 -1/45 (pow.f64 x 3))
0.3b
(*.f64 -1/3 x)
✓3.7b
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
Compiler

Compiled 57 to 43 computations (24.6% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
0.0ms
x
@inf
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
0.0ms
x
@0
(*.f64 -1/45 (pow.f64 x 3))
0.0ms
x
@-inf
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
0.0ms
x
@inf
(*.f64 -1/45 (pow.f64 x 3))

rewrite81.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
841×fma-def_binary64
638×log-prod_binary64
441×fma-neg_binary64
254×expm1-udef_binary64
254×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01328
130528
2425828
Stop Event
1×node limit
Counts
2 → 140
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
(*.f64 -1/45 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (+.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))) (*.f64 -1 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2)) (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) (+.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) 2)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) (+.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 x -2)) (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) 3)) (fma.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) (+.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) 2)) (+.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) 3))) (neg.f64 (fma.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) (+.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) 2))) (neg.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 (fma.f64 x -1/3 (/.f64 1 x)) (-.f64 (fma.f64 x -1/3 (/.f64 1 x)) (*.f64 -1/45 (pow.f64 x 3))) (*.f64 1/2025 (pow.f64 x 6))) (*.f64 x (fma.f64 -1/91125 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3)))) (*.f64 x (fma.f64 (fma.f64 x -1/3 (/.f64 1 x)) (-.f64 (fma.f64 x -1/3 (/.f64 1 x)) (*.f64 -1/45 (pow.f64 x 3))) (*.f64 1/2025 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (fma.f64 (fma.f64 x -1/3 (/.f64 1 x)) (-.f64 (fma.f64 x -1/3 (/.f64 1 x)) (*.f64 -1/45 (pow.f64 x 3))) (*.f64 1/2025 (pow.f64 x 6)))) (*.f64 (neg.f64 x) (fma.f64 -1/91125 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3)))) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 x -1/3 (/.f64 1 x)) (-.f64 (fma.f64 x -1/3 (/.f64 1 x)) (*.f64 -1/45 (pow.f64 x 3))) (*.f64 1/2025 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 -1/45 (pow.f64 x 3)) (fma.f64 x -1/3 (/.f64 1 x))) (*.f64 x (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2)))) (*.f64 x (-.f64 (*.f64 -1/45 (pow.f64 x 3)) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1/45 (pow.f64 x 3)) (fma.f64 x -1/3 (/.f64 1 x)))) (*.f64 (neg.f64 x) (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2)))) (*.f64 (neg.f64 x) (-.f64 (*.f64 -1/45 (pow.f64 x 3)) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))) 3) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 3)) (fma.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))) (+.f64 (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2) (*.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))) (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (*.f64 (/.f64 1 x) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (pow.f64 (fma.f64 x -1/3 (/.f64 1 x)) 2)) (+.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))) (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (*.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))) (-.f64 (/.f64 1 x) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (/.f64 (exp.f64 (/.f64 1 x)) (pow.f64 (exp.f64 -1/45) (pow.f64 x 3))) (exp.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (/.f64 (exp.f64 (/.f64 1 x)) (pow.f64 (exp.f64 -1/45) (pow.f64 x 3))) (+.f64 1 (expm1.f64 (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (/.f64 1 (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (/.f64 1 (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (*.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (+.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))) (*.f64 -1 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2)) (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1 (*.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1 (fma.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1 (+.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) 2) (fma.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) 2) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) 2) (+.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (fma.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (+.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (neg.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (fma.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (sqrt.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (+.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 x)) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) (+.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 x -2))) (fma.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) (+.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 x -2))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) (+.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (pow.f64 x -2))) (+.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) 2)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (fma.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) 2)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))) 2)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (+.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))))) (cbrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))))) (cbrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (*.f64 -1 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))))) (cbrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2)) (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3))))) (cbrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (cbrt.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))) (cbrt.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (*.f64 -1 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2)) (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (/.f64 1 x) (*.f64 -1/45 (pow.f64 x 3)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (sqrt.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (*.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (*.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2))) (-.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2))) (neg.f64 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2))) (-.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2))) (*.f64 -1 (fma.f64 x -1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2))) (-.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x))) 2)) (cbrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2))) (-.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))) (sqrt.f64 (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (fma.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 1 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 2) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))) (+.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) 2)) (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/45) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/45) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/45) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/45) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/45) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/45 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/45 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/45)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/91125 (pow.f64 (pow.f64 x 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2025 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/45) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/91125 (pow.f64 (pow.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/45)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/45 (pow.f64 x 3))))))))

simplify146.0ms (1%)

Algorithm
1×egg-herbie
Rules
1332×sqr-pow_binary64
715×pow-sqr_binary64
530×cube-prod_binary64
471×fabs-mul_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09117
121117
241117
385117
4152117
5377117
61219117
71922117
82009117
92142117
102300117
112532117
122854117
133275117
143775117
154370117
165090117
175411117
185697117
195921117
206099117
216179117
227119117
Stop Event
1×node limit
Counts
152 → 144
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.7b
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
✓3.7b
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
Compiler

Compiled 24 to 10 computations (58.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite89.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
767×prod-diff_binary64
445×log-prod_binary64
300×pow-prod-down_binary64
270×fma-def_binary64
243×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0814
117812
2265612
Stop Event
1×node limit
Counts
1 → 193
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 -1 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2))) (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 x) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (neg.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 x) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (neg.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)))) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 (sin.f64 x)))) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 x) 1 (neg.f64 (*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 (sin.f64 x)))) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 (sin.f64 x)))) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 (sin.f64 x)))) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 (sin.f64 x)))) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (neg.f64 x)) (neg.f64 (*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 (sin.f64 x)))) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 (sin.f64 x)))) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 x) 1 (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (neg.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 x) 1 (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (neg.f64 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 x) 1 (neg.f64 (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (neg.f64 x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 x) 1 (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (neg.f64 x)) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 x) 1 (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (neg.f64 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 x) 1 (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (neg.f64 x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 x) 1 (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (/.f64 1 (neg.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 1 (*.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (-.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x))))) (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (*.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (neg.f64 (*.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (tan.f64 x)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (sin.f64 x)) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 x) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 -1 (tan.f64 x)) 2) (*.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 -1 (tan.f64 x)) 2)) (-.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (tan.f64 x) x) (*.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (sin.f64 x)) (-.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x))))) (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (E.f64) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -1 (tan.f64 x))) (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -1 (tan.f64 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (E.f64) (/.f64 -1 (tan.f64 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (tan.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1 (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1 (*.f64 (/.f64 -1 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (neg.f64 (/.f64 1 (sin.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1 (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1 (+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 -1 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 -1 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (tan.f64 x) -1/2) (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 (/.f64 -1 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (tan.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 (/.f64 -1 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 1 (*.f64 x (sin.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 1 (*.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 1 (*.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 1 (*.f64 x (sin.f64 x))) (+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (*.f64 x (tan.f64 x)))))) (+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (tan.f64 x))) 2) (cbrt.f64 (/.f64 -1 (tan.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (tan.f64 x))) (sqrt.f64 (/.f64 -1 (tan.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 -1 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2))) (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))))

simplify112.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
708×sqr-pow_binary64
624×unswap-sqr_binary64
594×cube-prod_binary64
554×fma-def_binary64
520×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030168
174162
2153162
3366162
4670162
51415162
62079162
73069162
83286162
93613162
104016162
114548162
125279162
136224162
146870162
157379162
167782162
Stop Event
1×node limit
Counts
205 → 204
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 1/45 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/3 x)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/45 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/45 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (*.f64 1/3 x))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))

localize32.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (*.f64 1/3 x))
0.1b
(*.f64 2/945 (pow.f64 x 5))
0.0b
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
0.0b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
✓0.1b
(sqrt.f64 (*.f64 1/3 x))
0.1b
(*.f64 1/45 (pow.f64 x 3))
✓0.3b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
0.3b
(*.f64 1/3 x)
Compiler

Compiled 66 to 53 computations (19.7% saved)

series5.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
1.0ms
x
@-inf
(sqrt.f64 (*.f64 1/3 x))
1.0ms
x
@0
(sqrt.f64 (*.f64 1/3 x))

rewrite46.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
497×pow1_binary64
486×add-sqr-sqrt_binary64
464×add-log-exp_binary64
464×log1p-expm1-u_binary64
464×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114610
2131910
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(sqrt.f64 (*.f64 1/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/4) (*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (pow.f64 (*.f64 1/3 x) 1/4)) (pow.f64 (*.f64 1/3 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1/3) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 1/3)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/4) (pow.f64 (*.f64 1/3 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 1/3 x))))))))

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
47 → 47
Calls
Call 1
Inputs
Outputs

eval529.0ms (3.5%)

Compiler

Compiled 19324 to 13030 computations (32.6% saved)

prune178.0ms (1.2%)

Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New7184722
Fresh4913
Picked011
Done156
Total72319742
Error
0b
Counts
742 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.8b
(*.f64 1/3 x)
▶42.6b
(+.f64 (sqrt.f64 (*.f64 1/9 (*.f64 x x))) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
✓59.7b
(-.f64 (/.f64 1 x) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
✓29.4b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
0.3b
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) -1/9)) (fma.f64 x (*.f64 x 1/45) -1/3))
▶0.4b
(+.f64 (*.f64 x (*.f64 x (*.f64 x 1/45))) (*.f64 x 1/3))
0.3b
(/.f64 (*.f64 x (+.f64 1/27 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125))) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))
▶1.9b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
0.4b
(*.f64 x (+.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/45))) 1) 1/3))
28.4b
(/.f64 (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (pow.f64 (*.f64 1/3 x) 2)) (-.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x)))
29.7b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
39.9b
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
✓59.7b
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
✓0.4b
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
✓0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
▶58.7b
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1)
42.9b
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
▶0.1b
(/.f64 x (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27)))
28.5b
(*.f64 (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6))) (/.f64 1 (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))))
Compiler

Compiled 487 to 372 computations (23.6% saved)

localize41.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (*.f64 x x) 3)
0.0b
(/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27))
0.0b
(-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135))
0.0b
(/.f64 x (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27)))
✓0.0b
(/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27))
✓0.1b
(pow.f64 (*.f64 x x) 3)
✓0.1b
(pow.f64 (*.f64 x x) 2)
✓0.2b
(*.f64 (*.f64 x x) 1/135)
Compiler

Compiled 105 to 62 computations (41% saved)

series35.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
27.0ms
x
@-inf
(/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27))
4.0ms
x
@inf
(/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27))
1.0ms
x
@0
(pow.f64 (*.f64 x x) 3)
1.0ms
x
@inf
(pow.f64 (*.f64 x x) 3)
1.0ms
x
@inf
(pow.f64 (*.f64 x x) 2)

rewrite115.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
724×log-prod_binary64
304×fma-def_binary64
285×expm1-udef_binary64
285×log1p-udef_binary64
259×pow3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01754
138442
2453440
Stop Event
1×node limit
Counts
4 → 111
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) 1/135)
(pow.f64 (*.f64 x x) 2)
(pow.f64 (*.f64 x x) 3)
(/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/135))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/135))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/135)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/135)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/135)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/135))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/135)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 1/2460375) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/18225))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 1/2460375))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/135))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/135))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4))) (cbrt.f64 (exp.f64 (pow.f64 x 4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (pow.f64 x 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) 2) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 4 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 4)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 6))) (cbrt.f64 (exp.f64 (pow.f64 x 6))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) 2) (*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (pow.f64 x 4)) 2)) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 4) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 4) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 6 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 6)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (neg.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 x 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/91125 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) 2)) (cbrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) 2)) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9))) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9))) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9))) (/.f64 1 (neg.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9))) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9))) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9))) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) 2))) (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) 2)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) 2))) (cbrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) 2))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9))) (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) 2)) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9))) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (neg.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) 3) (pow.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (neg.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (neg.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9) (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9) (fma.f64 (pow.f64 x 6) 1/91125 1/27)))) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9) (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (neg.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9) (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9) (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (neg.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) 2))) (/.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9) (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (neg.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (/.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (neg.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (neg.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (neg.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9) 2)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) 2))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (neg.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) 2))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (neg.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9) 2)) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (neg.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (neg.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 (pow.f64 x 4) 1/2025 1/9)) (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))))

simplify84.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
640×associate-*r/_binary64
568×associate-*l/_binary64
413×unswap-sqr_binary64
364×fma-neg_binary64
348×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043396
1102394
2250390
3708390
42937390
Stop Event
1×node limit
Counts
159 → 130
Calls
Call 1
Inputs
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
3
(+.f64 3 (*.f64 -1/5 (pow.f64 x 2)))
(+.f64 3 (+.f64 (*.f64 -1/5 (pow.f64 x 2)) (*.f64 1/75 (pow.f64 x 4))))
(+.f64 3 (+.f64 (*.f64 -1/1125 (pow.f64 x 6)) (+.f64 (*.f64 -1/5 (pow.f64 x 2)) (*.f64 1/75 (pow.f64 x 4)))))
(/.f64 45 (pow.f64 x 2))
(-.f64 (*.f64 45 (/.f64 1 (pow.f64 x 2))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 4))) (*.f64 151875 (/.f64 1 (pow.f64 x 8)))))
(/.f64 45 (pow.f64 x 2))
(-.f64 (*.f64 45 (/.f64 1 (pow.f64 x 2))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 4))) (*.f64 151875 (/.f64 1 (pow.f64 x 8)))))
Outputs
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
3
(+.f64 3 (*.f64 -1/5 (pow.f64 x 2)))
(+.f64 3 (*.f64 (*.f64 x x) -1/5))
(fma.f64 (*.f64 x x) -1/5 3)
(fma.f64 x (*.f64 x -1/5) 3)
(+.f64 3 (+.f64 (*.f64 -1/5 (pow.f64 x 2)) (*.f64 1/75 (pow.f64 x 4))))
(+.f64 3 (fma.f64 -1/5 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/75)))
(+.f64 (fma.f64 (*.f64 x x) -1/5 3) (*.f64 (pow.f64 x 4) 1/75))
(fma.f64 x (*.f64 x -1/5) (fma.f64 (pow.f64 x 4) 1/75 3))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 1/75 -1/5) 3)
(+.f64 3 (+.f64 (*.f64 -1/1125 (pow.f64 x 6)) (+.f64 (*.f64 -1/5 (pow.f64 x 2)) (*.f64 1/75 (pow.f64 x 4)))))
(+.f64 3 (fma.f64 -1/1125 (pow.f64 x 6) (fma.f64 -1/5 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/75))))
(+.f64 3 (fma.f64 (pow.f64 x 6) -1/1125 (fma.f64 (*.f64 x x) -1/5 (*.f64 (pow.f64 x 4) 1/75))))
(fma.f64 (pow.f64 x 6) -1/1125 (fma.f64 x (*.f64 x -1/5) (fma.f64 (pow.f64 x 4) 1/75 3)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 1/75 -1/5) (fma.f64 (pow.f64 x 6) -1/1125 3))
(fma.f64 x (*.f64 x -1/5) (fma.f64 (pow.f64 x 4) 1/75 (fma.f64 (pow.f64 x 6) -1/1125 3)))
(/.f64 45 (pow.f64 x 2))
(/.f64 45 (*.f64 x x))
(-.f64 (*.f64 45 (/.f64 1 (pow.f64 x 2))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 45 (*.f64 x x)) (/.f64 675 (pow.f64 x 4)))
(+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -675 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (/.f64 675 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (/.f64 -675 (pow.f64 x 4)))
(+.f64 (/.f64 10125 (pow.f64 x 6)) (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -675 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 4))) (*.f64 151875 (/.f64 1 (pow.f64 x 8)))))
(-.f64 (-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (/.f64 675 (pow.f64 x 4))) (/.f64 151875 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (-.f64 (/.f64 -675 (pow.f64 x 4)) (/.f64 151875 (pow.f64 x 8))))
(+.f64 (/.f64 10125 (pow.f64 x 6)) (+.f64 (/.f64 -675 (pow.f64 x 4)) (-.f64 (/.f64 45 (*.f64 x x)) (/.f64 151875 (pow.f64 x 8)))))
(+.f64 (/.f64 10125 (pow.f64 x 6)) (+.f64 (/.f64 45 (*.f64 x x)) (+.f64 (/.f64 -675 (pow.f64 x 4)) (/.f64 -151875 (pow.f64 x 8)))))
(+.f64 (/.f64 10125 (pow.f64 x 6)) (-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -151875 (pow.f64 x 8))) (/.f64 675 (pow.f64 x 4))))
(/.f64 45 (pow.f64 x 2))
(/.f64 45 (*.f64 x x))
(-.f64 (*.f64 45 (/.f64 1 (pow.f64 x 2))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 45 (*.f64 x x)) (/.f64 675 (pow.f64 x 4)))
(+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -675 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (/.f64 675 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (/.f64 -675 (pow.f64 x 4)))
(+.f64 (/.f64 10125 (pow.f64 x 6)) (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -675 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 4))) (*.f64 151875 (/.f64 1 (pow.f64 x 8)))))
(-.f64 (-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (/.f64 675 (pow.f64 x 4))) (/.f64 151875 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (-.f64 (/.f64 -675 (pow.f64 x 4)) (/.f64 151875 (pow.f64 x 8))))
(+.f64 (/.f64 10125 (pow.f64 x 6)) (+.f64 (/.f64 -675 (pow.f64 x 4)) (-.f64 (/.f64 45 (*.f64 x x)) (/.f64 151875 (pow.f64 x 8)))))
(+.f64 (/.f64 10125 (pow.f64 x 6)) (+.f64 (/.f64 45 (*.f64 x x)) (+.f64 (/.f64 -675 (pow.f64 x 4)) (/.f64 -151875 (pow.f64 x 8)))))
(+.f64 (/.f64 10125 (pow.f64 x 6)) (-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -151875 (pow.f64 x 8))) (/.f64 675 (pow.f64 x 4))))

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x 1/45)
0.1b
(*.f64 x (*.f64 x 1/45))
0.1b
(*.f64 x (*.f64 x (*.f64 x 1/45)))
0.0b
(+.f64 (*.f64 x (*.f64 x (*.f64 x 1/45))) (*.f64 x 1/3))
✓0.1b
(*.f64 x (*.f64 x (*.f64 x 1/45)))
0.1b
(*.f64 x (*.f64 x 1/45))
0.2b
(*.f64 x 1/45)
✓0.3b
(*.f64 x 1/3)
Compiler

Compiled 33 to 21 computations (36.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x 1/3)
0.0ms
x
@inf
(*.f64 x 1/3)
0.0ms
x
@-inf
(*.f64 x 1/3)
0.0ms
x
@0
(*.f64 x (*.f64 x (*.f64 x 1/45)))
0.0ms
x
@-inf
(*.f64 x (*.f64 x (*.f64 x 1/45)))

rewrite73.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
719×pow1_binary64
665×add-log-exp_binary64
665×log1p-expm1-u_binary64
665×expm1-log1p-u_binary64
653×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0814
116311
2183711
Stop Event
1×node limit
Counts
2 → 24
Calls
Call 1
Inputs
(*.f64 x 1/3)
(*.f64 x (*.f64 x (*.f64 x 1/45)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/45)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/45) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/45) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 1/45)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 x 1/45))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/45) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 x 3) 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/45) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x 1/45)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/45)))))))

simplify132.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1333×sqr-pow_binary64
715×pow-sqr_binary64
530×cube-prod_binary64
471×fabs-mul_binary64
449×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08132
118132
235132
360132
4118132
5328132
61190132
71877132
81964132
92097132
102255132
112489132
122811132
133232132
143732132
154325132
165047132
175370132
185654132
195876132
206054132
216136132
227076132
Stop Event
1×node limit
Counts
48 → 26
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))

localize21.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
6.4b
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1)
0.3b
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
0.2b
(*.f64 x 1/45)
0.0b
(fma.f64 x (*.f64 x 1/45) 1/3)
0.0b
(fma.f64 x (*.f64 x 1/45) 1/3)
0.2b
(*.f64 x 1/45)
0.3b
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
✓6.4b
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1)
Compiler

Compiled 44 to 31 computations (29.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1)
0.0ms
x
@inf
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1)

rewrite167.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
601×unpow-prod-down_binary64
472×prod-diff_binary64
434×fma-def_binary64
407×log-prod_binary64
245×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01017
121811
2273311
Stop Event
1×node limit
Counts
1 → 98
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) 1/45) x) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (*.f64 x x) 1/45)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/45) 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 2)) (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 2) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 2) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 2) -1) (/.f64 1 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 2) -1) (pow.f64 (/.f64 1 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3))) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x (*.f64 x 1/45) 1/3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x (*.f64 x 1/45) 1/3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))) 2) 3) (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 2) x) 1/3) (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 2) (fma.f64 x (*.f64 x 1/45) 1/3)) 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 2) (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 2) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 2)) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 2) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 2) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 2) (-.f64 1 (*.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 2) -1) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 2) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 2) -1)) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) -1) 2) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) -1) 2)) (-.f64 1 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 2) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 2)) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 2) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) (sqrt.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) 1/45) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (*.f64 x 1/45) 1/3) x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 2)) (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) (*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) 1/45) x (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 2) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 3)) (/.f64 1 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1) 2) -1) (/.f64 1 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 2)) (/.f64 1 (-.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) -1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) -1)) (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) 1)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 1) (-.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3))) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 x (*.f64 x 1/45) 1/3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 x (*.f64 x 1/45) 1/3) (sqrt.f64 x)) (sqrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1))))))

simplify137.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1332×sqr-pow_binary64
715×pow-sqr_binary64
530×cube-prod_binary64
471×fabs-mul_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09117
121117
241117
385117
4152117
5377117
61219117
71922117
82009117
92142117
102300117
112532117
122854117
133275117
143775117
154370117
165090117
175411117
185697117
195921117
206099117
216179117
227119117
Stop Event
1×node limit
Counts
110 → 102
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.7b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
0.6b
(cbrt.f64 (*.f64 1/3 x))
0.3b
(*.f64 1/3 x)
0.3b
(*.f64 1/3 x)
✓0.6b
(cbrt.f64 (*.f64 1/3 x))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series16.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
2.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
1.0ms
x
@0
(cbrt.f64 (*.f64 1/3 x))
1.0ms
x
@inf
(cbrt.f64 (*.f64 1/3 x))

rewrite48.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114810
2137610
Stop Event
1×node limit
Counts
2 → 49
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(cbrt.f64 (*.f64 1/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/6) (*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/3) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 1/3)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (*.f64 1/3 x) 1/6)) (pow.f64 (*.f64 1/3 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (*.f64 1/3 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/3 x))))))))

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
49 → 49
Calls
Call 1
Inputs
Outputs

localize70.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/45 (pow.f64 x 3))
0.1b
(*.f64 2/945 (pow.f64 x 5))
0.0b
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
0.0b
(+.f64 (sqrt.f64 (*.f64 1/9 (*.f64 x x))) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
0.1b
(*.f64 2/945 (pow.f64 x 5))
0.1b
(*.f64 1/45 (pow.f64 x 3))
✓0.2b
(*.f64 1/9 (*.f64 x x))
✓28.2b
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
Compiler

Compiled 66 to 46 computations (30.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 1/9 (*.f64 x x))
0.0ms
x
@0
(*.f64 1/9 (*.f64 x x))
0.0ms
x
@0
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
0.0ms
x
@-inf
(*.f64 1/9 (*.f64 x x))
0.0ms
x
@inf
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))

rewrite43.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
509×pow1_binary64
493×add-sqr-sqrt_binary64
476×add-log-exp_binary64
476×log1p-expm1-u_binary64
476×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0616
112411
2138911
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(*.f64 1/9 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 1/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/9 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/81 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/81 (pow.f64 x 4))) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/9 x) 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/9 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/81 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 x x))))))))

simplify139.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1126×sqr-pow_binary64
579×associate-*l*_binary64
565×cube-prod_binary64
558×fabs-mul_binary64
541×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010132
118132
229132
359132
4140132
5424132
61549132
72443132
82607132
92821132
103041132
113339132
123739132
134225132
144788132
155476132
166311132
176707132
186993132
197269132
207341132
217377132
Stop Event
1×node limit
Counts
62 → 42
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))

eval471.0ms (3.1%)

Compiler

Compiled 9476 to 7035 computations (25.8% saved)

prune132.0ms (0.9%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New4865491
Fresh718
Picked011
Done5510
Total49812510
Error
0b
Counts
510 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
58.4b
(+.f64 (*.f64 x (*.f64 x (*.f64 x 1/45))) (-.f64 (+.f64 1 (*.f64 x 1/3)) 1))
0.5b
(/.f64 x 3)
✓29.4b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
58.7b
(-.f64 (+.f64 1 (*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))) 1)
0.4b
(*.f64 x (+.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/45))) 1) 1/3))
✓0.4b
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
✓0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
58.9b
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
0.1b
(/.f64 x (fma.f64 x (*.f64 x -1/5) 3))
✓42.6b
(+.f64 (sqrt.f64 (*.f64 1/9 (*.f64 x x))) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
✓0.4b
(+.f64 (*.f64 x (*.f64 x (*.f64 x 1/45))) (*.f64 x 1/3))
✓59.7b
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
Compiler

Compiled 151 to 116 computations (23.2% saved)

regimes13.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
(/.f64 x 3)
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
(+.f64 (*.f64 x (*.f64 x (*.f64 x 1/45))) (*.f64 x 1/3))
(*.f64 x (+.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/45))) 1) 1/3))
(-.f64 (+.f64 1 (*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))) 1)
(+.f64 (*.f64 x (*.f64 x (*.f64 x 1/45))) (-.f64 (+.f64 1 (*.f64 x 1/3)) 1))
(/.f64 x (fma.f64 x (*.f64 x -1/5) 3))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (sqrt.f64 (*.f64 1/9 (*.f64 x x))) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
Outputs
(/.f64 x (fma.f64 x (*.f64 x -1/5) 3))
Calls

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 142 to 106 computations (25.4% saved)

regimes30.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 x 3)
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
(+.f64 (*.f64 x (*.f64 x (*.f64 x 1/45))) (*.f64 x 1/3))
(*.f64 x (+.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/45))) 1) 1/3))
(-.f64 (+.f64 1 (*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))) 1)
(+.f64 (*.f64 x (*.f64 x (*.f64 x 1/45))) (-.f64 (+.f64 1 (*.f64 x 1/3)) 1))
Outputs
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.4b1x
Compiler

Compiled 74 to 54 computations (27% saved)

regimes4.0ms (0%)

Accuracy

Total -58.4b remaining (-11799%)

Threshold costs -58.4b (-11799%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01428
11928
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x (*.f64 x -1/5) 3))
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
(/.f64 x 3)
Outputs
(/.f64 x (fma.f64 x (*.f64 x -1/5) 3))
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
(/.f64 x 3)

end180.0ms (1.2%)

Stop Event
1×fuel
Compiler

Compiled 44 to 30 computations (31.8% saved)

Profiling

Loading profile data...