Details

Time bar (total: 11.3s)

analyze4.0ms (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 (86.9%)

Results
7.5s4189×body2048valid
1.3s2045×body1024valid
424.0ms1051×body512valid
331.0ms228×body4096valid
154.0ms505×body256valid
52.0ms238×body128valid

preprocess18.0ms (0.2%)

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 9 to 7 computations (22.2% 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)))

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
59.7b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶59.7b
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
Compiler

Compiled 35 to 26 computations (25.7% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 -1 (tan.f64 x))
✓3.5b
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))

series6.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite57.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
962×pow1_binary64
898×add-log-exp_binary64
897×log1p-expm1-u_binary64
897×expm1-log1p-u_binary64
89×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
117518
2248218
Stop Event
1×node limit
Counts
2 → 73
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 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (/.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2)) (+.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 (tan.f64 x) (neg.f64 x)) (/.f64 1 (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (/.f64 1 (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) (/.f64 1 (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 1 (/.f64 (*.f64 x (tan.f64 x)) (+.f64 (tan.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 -1 (*.f64 x (tan.f64 x))))) (+.f64 (pow.f64 x -3) (/.f64 -1 (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) (/.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (tan.f64 x) (neg.f64 x)) (*.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 x -2) (-.f64 (/.f64 1 (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 -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (pow.f64 x -2) (/.f64 -1 (*.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (/.f64 1 (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) (neg.f64 x))) (neg.f64 (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 (/.f64 1 (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) (/.f64 1 (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)) x) (*.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 (*.f64 (tan.f64 x) -1) x) (*.f64 x (*.f64 (tan.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (*.f64 (tan.f64 x) -1)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 (tan.f64 x) -1)))))) (#(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 x (*.f64 (neg.f64 (tan.f64 x)) 1)) (*.f64 (neg.f64 (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 (tan.f64 x) -1) 1)) (*.f64 (*.f64 (tan.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 (tan.f64 x)) -1)) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 (tan.f64 x) -1) -1)) (*.f64 (*.f64 (tan.f64 x) -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (tan.f64 x) -1)) (*.f64 (tan.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 x -2)) (-.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (tan.f64 x) (neg.f64 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 log.f64 (+.f64 1 (expm1.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 expm1.f64 (log1p.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 1 (/.f64 -1 (tan.f64 x)) (/.f64 1 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 (pow.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) 2) (/.f64 -1 (cbrt.f64 (tan.f64 x))) (/.f64 1 x))))) (#(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 (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 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 -1 (tan.f64 x)))))) (#(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 -.f64 (exp.f64 (log1p.f64 (/.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 -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))) (pow.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) 2) (/.f64 -1 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (tan.f64 x))) (sqrt.f64 (/.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 (sin.f64 x)) (cos.f64 x))))) (#(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 (sqrt.f64 (/.f64 -1 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (pow.f64 (tan.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (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 log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1 (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (tan.f64 x))))))))

simplify56.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
821×fma-neg_binary64
753×fma-def_binary64
624×unswap-sqr_binary64
466×distribute-rgt-neg-in_binary64
406×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034303
187293
2189291
3491291
41002291
52255291
64225291
76952291
Stop Event
1×node limit
Counts
97 → 91
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 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) (/.f64 1 x))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.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)))
(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 (*.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 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))
(fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.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)))
(+.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 2/945 (pow.f64 x 5) (fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (*.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 1/3 x (*.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)))))
(*.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))
(-.f64 (+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) (/.f64 1 x))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (/.f64 -1 x)))
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))) (/.f64 1 x))
(+.f64 (fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) (/.f64 -1 x))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (/.f64 -1 x))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (/.f64 -1 x))))
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (/.f64 -1 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 -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 -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 -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 -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 -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 -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 -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))

prune48.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New90191
Fresh000
Picked101
Done000
Total91192
Error
0.4b
Counts
92 → 1
Alt Table
StatusErrorProgram
▶0.4b
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))
Compiler

Compiled 1282 to 824 computations (35.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 1/45 (*.f64 x x) 1/3)
✓0.1b
(*.f64 2/945 (pow.f64 x 5))
✓0.4b
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))

series6.0ms (0%)

Counts
3 → 24
Calls

9 calls:

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

rewrite56.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
531×unpow-prod-down_binary64
419×log-prod_binary64
334×exp-prod_binary64
270×prod-exp_binary64
268×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01133
123033
2248533
Stop Event
1×node limit
Counts
3 → 106
Calls
Call 1
Inputs
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))
(*.f64 2/945 (pow.f64 x 5))
(fma.f64 1/45 (*.f64 x x) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 1) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))) 2) 3) (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3) (*.f64 (pow.f64 x 15) 8/843908625)) (+.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (-.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (*.f64 (pow.f64 x 10) 4/893025)) (-.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))) (sqrt.f64 (log.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.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 x) (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3)) (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))))
((#(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 (*.f64 (pow.f64 x 15) 8/843908625) 1/3)))) (#(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 (exp.f64 1) (fma.f64 5 (log.f64 x) (log1p.f64 -943/945)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -943/945))) 2)) (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -943/945))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -943/945)))) (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -943/945))))))) (#(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 expm1.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -943/945)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -943/945)) 1))))) (#(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 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 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -943/945)) 1) 1))))) (#(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 +.f64 1/3 (*.f64 1/45 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/45 (*.f64 x x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 1/45 (*.f64 x x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/91125 (pow.f64 x 6)) 1/27) (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 2) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 2) 1/9) (fma.f64 1/45 (*.f64 x x) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (sqrt.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))

simplify101.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
800×sqr-pow_binary64
753×unswap-sqr_binary64
512×associate-*l*_binary64
480×cube-prod_binary64
433×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019270
148252
298252
3221252
4512252
51757252
63714252
74067252
84415252
94829252
105434252
116319252
127327252
137871252
Stop Event
1×node limit
Counts
130 → 119
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 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)))
(+.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 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)))
(+.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 1/45 (pow.f64 x 3))))
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)))
(*.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 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 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 2/945 (pow.f64 x 5))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(+.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 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 2/945 (pow.f64 x 5))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(+.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 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)))
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)

prune353.0ms (3.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1163119
Fresh000
Picked011
Done000
Total1164120
Error
0.1b
Counts
120 → 4
Alt Table
StatusErrorProgram
39.3b
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 3))
▶0.7b
(fma.f64 x (*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (*.f64 2/945 (pow.f64 x 5)))
34.6b
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2)
✓0.4b
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))
Compiler

Compiled 2455 to 1715 computations (30.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(fma.f64 x (*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (*.f64 2/945 (pow.f64 x 5)))
✓1.0b
(pow.f64 (pow.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 1/3)
✓1.0b
(cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
✓1.0b
(*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))

series22.0ms (0.2%)

Counts
4 → 32
Calls

12 calls:

TimeVariablePointExpression
5.0ms
x
@0
(cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
5.0ms
x
@inf
(pow.f64 (pow.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 1/3)
3.0ms
x
@0
(pow.f64 (pow.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 1/3)
2.0ms
x
@inf
(*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
2.0ms
x
@0
(*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))

rewrite67.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
668×log-prod_binary64
383×pow2_binary64
296×pow-unpow_binary64
267×expm1-udef_binary64
267×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018106
137967
2409963
Stop Event
1×node limit
Counts
4 → 103
Calls
Call 1
Inputs
(*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
(cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
(pow.f64 (pow.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 1/3)
(fma.f64 x (*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (*.f64 2/945 (pow.f64 x 5)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (*.f64 1/3 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 1/45 (*.f64 x x))) (*.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 1/45 (*.f64 x x)) (*.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/45 (*.f64 x x)) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 1/3 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/9 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/9 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (cbrt.f64 (exp.f64 (*.f64 4/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (cbrt.f64 (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))) (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 2/3) (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))) 2/3) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2) 2/3) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 4/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (*.f64 2/3 (*.f64 4/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 1) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3) (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (-.f64 (*.f64 4/893025 (pow.f64 x 10)) (*.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (*.f64 4/893025 (pow.f64 x 10))) (-.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5)) (exp.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5)))) (exp.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))))))

simplify59.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
523×fma-def_binary64
486×associate-*r*_binary64
479×associate-*l*_binary64
357×unswap-sqr_binary64
354×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01431222
13981104
21205964
35691898
Stop Event
1×node limit
Counts
135 → 151
Calls
Call 1
Inputs
(cbrt.f64 1/81)
(+.f64 (cbrt.f64 1/81) (*.f64 4/3645 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/81) 2))))
(+.f64 (cbrt.f64 1/81) (+.f64 (*.f64 2/164025 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/81) 2))) (*.f64 4/3645 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/81) 2)))))
(+.f64 (cbrt.f64 1/81) (+.f64 (*.f64 2/164025 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/81) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 4/492075 (*.f64 64/48427561125 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 6)))) (pow.f64 x 6)) (pow.f64 (cbrt.f64 1/81) 2))) (*.f64 4/3645 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/81) 2))))))
(pow.f64 1/3 1/9)
(+.f64 (*.f64 1/135 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 2))) (pow.f64 1/3 1/9))
(+.f64 (*.f64 1/135 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 2))) (+.f64 (*.f64 -4/18225 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 4))) (pow.f64 1/3 1/9)))
(+.f64 (*.f64 1/135 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 2))) (+.f64 (*.f64 68/7381125 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 6))) (+.f64 (*.f64 -4/18225 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 4))) (pow.f64 1/3 1/9))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))
(+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -100/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 4))) (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -100/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 4))) (+.f64 (*.f64 8500/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 6))) (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))))
(+.f64 (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 -100/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4)))))
(+.f64 (*.f64 8500/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 6))) (+.f64 (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 -100/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))))))
(pow.f64 (pow.f64 (cbrt.f64 1/81) 2) 1/3)
(+.f64 (pow.f64 (pow.f64 (cbrt.f64 1/81) 2) 1/3) (*.f64 8/10935 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7)) 1/3) (pow.f64 x 2))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)) 1/3) (*.f64 (-.f64 (+.f64 (*.f64 4/164025 (/.f64 1 (cbrt.f64 1/81))) (*.f64 16/13286025 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)))) (*.f64 64/39858075 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)))) (pow.f64 x 4)))) (+.f64 (pow.f64 (pow.f64 (cbrt.f64 1/81) 2) 1/3) (*.f64 8/10935 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7)) 1/3) (pow.f64 x 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)) 1/3) (*.f64 (-.f64 (+.f64 (*.f64 16/597871125 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4))) (*.f64 2/3 (/.f64 (-.f64 4/492075 (*.f64 64/48427561125 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 6)))) (cbrt.f64 1/81)))) (+.f64 (*.f64 16/135 (-.f64 (+.f64 (*.f64 4/164025 (/.f64 1 (cbrt.f64 1/81))) (*.f64 16/13286025 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)))) (*.f64 64/39858075 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4))))) (*.f64 512/1307544150375 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7))))) (pow.f64 x 6)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)) 1/3) (*.f64 (-.f64 (+.f64 (*.f64 4/164025 (/.f64 1 (cbrt.f64 1/81))) (*.f64 16/13286025 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)))) (*.f64 64/39858075 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)))) (pow.f64 x 4)))) (+.f64 (pow.f64 (pow.f64 (cbrt.f64 1/81) 2) 1/3) (*.f64 8/10935 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7)) 1/3) (pow.f64 x 2))))))
(*.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 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)))
(+.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 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)))
(+.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 1/45 (pow.f64 x 3))))
Outputs
(cbrt.f64 1/81)
(+.f64 (cbrt.f64 1/81) (*.f64 4/3645 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/81) 2))))
(+.f64 (cbrt.f64 1/81) (/.f64 (*.f64 4/3645 (*.f64 x x)) (pow.f64 (cbrt.f64 1/81) 2)))
(fma.f64 4/3645 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 1/81) 2)) (cbrt.f64 1/81))
(fma.f64 4/3645 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 1/81) 2)) x) (cbrt.f64 1/81))
(+.f64 (cbrt.f64 1/81) (+.f64 (*.f64 2/164025 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/81) 2))) (*.f64 4/3645 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/81) 2)))))
(+.f64 (cbrt.f64 1/81) (fma.f64 2/164025 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/81) 2)) (/.f64 (*.f64 4/3645 (*.f64 x x)) (pow.f64 (cbrt.f64 1/81) 2))))
(fma.f64 4/3645 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 1/81) 2)) x) (fma.f64 2/164025 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/81) 2)) (cbrt.f64 1/81)))
(+.f64 (cbrt.f64 1/81) (+.f64 (*.f64 2/164025 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/81) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 4/492075 (*.f64 64/48427561125 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 6)))) (pow.f64 x 6)) (pow.f64 (cbrt.f64 1/81) 2))) (*.f64 4/3645 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/81) 2))))))
(+.f64 (cbrt.f64 1/81) (fma.f64 2/164025 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/81) 2)) (fma.f64 1/3 (/.f64 (-.f64 4/492075 (/.f64 64/48427561125 (pow.f64 (cbrt.f64 1/81) 6))) (/.f64 (pow.f64 (cbrt.f64 1/81) 2) (pow.f64 x 6))) (/.f64 (*.f64 4/3645 (*.f64 x x)) (pow.f64 (cbrt.f64 1/81) 2)))))
(+.f64 (cbrt.f64 1/81) (fma.f64 2/164025 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/81) 2)) (fma.f64 4/3645 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 1/81) 2)) (/.f64 (*.f64 -4/22143375 (pow.f64 x 6)) (pow.f64 (cbrt.f64 1/81) 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 6) -4/22143375) (pow.f64 (cbrt.f64 1/81) 2)) (fma.f64 4/3645 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 1/81) 2)) x) (fma.f64 2/164025 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/81) 2)) (cbrt.f64 1/81))))
(pow.f64 1/3 1/9)
(*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18))
(+.f64 (*.f64 1/135 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 2))) (pow.f64 1/3 1/9))
(fma.f64 1/135 (*.f64 (*.f64 x x) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18))) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18)))
(fma.f64 1/135 (*.f64 x (*.f64 x (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18)))) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18)))
(*.f64 (+.f64 (*.f64 x (*.f64 x 1/135)) 1) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18)))
(+.f64 (*.f64 1/135 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 2))) (+.f64 (*.f64 -4/18225 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 4))) (pow.f64 1/3 1/9)))
(fma.f64 1/135 (*.f64 (*.f64 x x) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18))) (fma.f64 -4/18225 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18))) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18))))
(fma.f64 1/135 (*.f64 x (*.f64 x (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18)))) (fma.f64 -4/18225 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18))) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18))))
(fma.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18) (*.f64 (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18)) (+.f64 (*.f64 x (*.f64 x 1/135)) (*.f64 (pow.f64 x 4) -4/18225))))
(*.f64 (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18)) (+.f64 (*.f64 x (*.f64 x 1/135)) (+.f64 (*.f64 (pow.f64 x 4) -4/18225) 1)))
(+.f64 (*.f64 1/135 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 2))) (+.f64 (*.f64 68/7381125 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 6))) (+.f64 (*.f64 -4/18225 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 4))) (pow.f64 1/3 1/9))))
(fma.f64 1/135 (*.f64 (*.f64 x x) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18))) (fma.f64 68/7381125 (*.f64 (pow.f64 x 6) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18))) (fma.f64 -4/18225 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18))) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18)))))
(fma.f64 1/135 (*.f64 x (*.f64 x (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18)))) (fma.f64 68/7381125 (*.f64 (pow.f64 x 6) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18))) (fma.f64 -4/18225 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18))) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18)))))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) -4/18225) 1) (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18))) (*.f64 (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18)) (+.f64 (*.f64 x (*.f64 x 1/135)) (*.f64 (pow.f64 x 6) 68/7381125))))
(+.f64 (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18)) (*.f64 (*.f64 (pow.f64 1/3 1/18) (pow.f64 1/3 1/18)) (+.f64 (*.f64 x (*.f64 x 1/135)) (*.f64 (pow.f64 x 4) (+.f64 (*.f64 (*.f64 x x) 68/7381125) -4/18225)))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (neg.f64 (log.f64 x)))))
(pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/45)))
(exp.f64 (fma.f64 1/9 (log.f64 1/45) (*.f64 2/9 (log.f64 x))))
(exp.f64 (fma.f64 1/9 (log.f64 1/45) (*.f64 (log.f64 x) 2/9)))
(+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 5/3 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 x x))))
(fma.f64 5/3 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/45))) (*.f64 x x)) (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/45))))
(fma.f64 5/3 (/.f64 (exp.f64 (fma.f64 1/9 (log.f64 1/45) (*.f64 2/9 (log.f64 x)))) (*.f64 x x)) (exp.f64 (fma.f64 1/9 (log.f64 1/45) (*.f64 2/9 (log.f64 x)))))
(*.f64 (+.f64 (/.f64 5/3 (*.f64 x x)) 1) (exp.f64 (fma.f64 1/9 (log.f64 1/45) (*.f64 (log.f64 x) 2/9))))
(+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -100/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 4))) (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (neg.f64 (log.f64 x))))) (fma.f64 -100/9 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (neg.f64 (log.f64 x))))) (pow.f64 x 4)) (*.f64 5/3 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 x x)))))
(+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/45))) (fma.f64 5/3 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/45))) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/45))) -100/9) (pow.f64 x 4))))
(+.f64 (exp.f64 (fma.f64 1/9 (log.f64 1/45) (*.f64 2/9 (log.f64 x)))) (*.f64 (/.f64 (exp.f64 (fma.f64 1/9 (log.f64 1/45) (*.f64 2/9 (log.f64 x)))) (*.f64 x x)) (+.f64 5/3 (/.f64 -100/9 (*.f64 x x)))))
(+.f64 (exp.f64 (fma.f64 1/9 (log.f64 1/45) (*.f64 (log.f64 x) 2/9))) (*.f64 (exp.f64 (fma.f64 1/9 (log.f64 1/45) (*.f64 (log.f64 x) 2/9))) (+.f64 (/.f64 5/3 (*.f64 x x)) (/.f64 -100/9 (pow.f64 x 4)))))
(+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -100/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 4))) (+.f64 (*.f64 8500/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 6))) (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (neg.f64 (log.f64 x))))) (fma.f64 -100/9 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (neg.f64 (log.f64 x))))) (pow.f64 x 4)) (fma.f64 8500/81 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (neg.f64 (log.f64 x))))) (pow.f64 x 6)) (*.f64 5/3 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 x x))))))
(+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/45))) (fma.f64 -100/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/45))) (pow.f64 x 4)) (fma.f64 5/3 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/45))) (*.f64 x x)) (*.f64 8500/81 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/45))) (pow.f64 x 6))))))
(+.f64 (exp.f64 (fma.f64 1/9 (log.f64 1/45) (*.f64 2/9 (log.f64 x)))) (fma.f64 8500/81 (/.f64 (exp.f64 (fma.f64 1/9 (log.f64 1/45) (*.f64 2/9 (log.f64 x)))) (pow.f64 x 6)) (*.f64 (/.f64 (exp.f64 (fma.f64 1/9 (log.f64 1/45) (*.f64 2/9 (log.f64 x)))) (*.f64 x x)) (+.f64 5/3 (/.f64 -100/9 (*.f64 x x))))))
(+.f64 (exp.f64 (fma.f64 1/9 (log.f64 1/45) (*.f64 (log.f64 x) 2/9))) (*.f64 (/.f64 (exp.f64 (fma.f64 1/9 (log.f64 1/45) (*.f64 (log.f64 x) 2/9))) (*.f64 x x)) (+.f64 (/.f64 8500/81 (pow.f64 x 4)) (+.f64 5/3 (/.f64 -100/9 (*.f64 x x))))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45)))
(+.f64 (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))))
(fma.f64 5/3 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x))))))
(fma.f64 5/3 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) (*.f64 x x)) (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))))
(fma.f64 (/.f64 5/3 x) (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) x) (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))))
(*.f64 (+.f64 (/.f64 5/3 (*.f64 x x)) 1) (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))))
(+.f64 (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 -100/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4)))))
(+.f64 (fma.f64 5/3 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 -100/9 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 4))))
(fma.f64 5/3 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) (*.f64 x x)) (fma.f64 -100/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) (pow.f64 x 4)) (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45)))))
(+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) (*.f64 x x)) (+.f64 5/3 (/.f64 -100/9 (*.f64 x x)))))
(+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) (*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) (+.f64 (/.f64 -100/9 (pow.f64 x 4)) (/.f64 5/3 (*.f64 x x)))))
(+.f64 (*.f64 8500/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 6))) (+.f64 (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 -100/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))))))
(fma.f64 8500/81 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 6)) (+.f64 (fma.f64 5/3 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 -100/9 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))))
(fma.f64 8500/81 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) (pow.f64 x 6)) (fma.f64 5/3 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) (*.f64 x x)) (fma.f64 -100/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) (pow.f64 x 4)) (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))))))
(fma.f64 8500/81 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) (pow.f64 x 6)) (+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) (*.f64 x x)) (+.f64 5/3 (/.f64 -100/9 (*.f64 x x))))))
(+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) (*.f64 x x)) (+.f64 (/.f64 8500/81 (pow.f64 x 4)) (+.f64 5/3 (/.f64 -100/9 (*.f64 x x))))))
(pow.f64 (pow.f64 (cbrt.f64 1/81) 2) 1/3)
(cbrt.f64 (pow.f64 (cbrt.f64 1/81) 2))
(+.f64 (pow.f64 (pow.f64 (cbrt.f64 1/81) 2) 1/3) (*.f64 8/10935 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7)) 1/3) (pow.f64 x 2))))
(+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/81) 2)) (*.f64 8/10935 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7))))))
(fma.f64 8/10935 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7))))) (cbrt.f64 (pow.f64 (cbrt.f64 1/81) 2)))
(fma.f64 (*.f64 x x) (*.f64 8/10935 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7)))) (cbrt.f64 (pow.f64 (cbrt.f64 1/81) 2)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)) 1/3) (*.f64 (-.f64 (+.f64 (*.f64 4/164025 (/.f64 1 (cbrt.f64 1/81))) (*.f64 16/13286025 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)))) (*.f64 64/39858075 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)))) (pow.f64 x 4)))) (+.f64 (pow.f64 (pow.f64 (cbrt.f64 1/81) 2) 1/3) (*.f64 8/10935 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7)) 1/3) (pow.f64 x 2)))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4))) (*.f64 (pow.f64 x 4) (+.f64 (/.f64 4/164025 (cbrt.f64 1/81)) (-.f64 (/.f64 16/13286025 (pow.f64 (cbrt.f64 1/81) 4)) (/.f64 64/39858075 (pow.f64 (cbrt.f64 1/81) 4)))))) (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/81) 2)) (*.f64 8/10935 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7)))))))
(fma.f64 1/3 (*.f64 (pow.f64 x 4) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 1/81) 1/81))) (+.f64 (/.f64 4/164025 (cbrt.f64 1/81)) (*.f64 (/.f64 1 (*.f64 (cbrt.f64 1/81) 1/81)) -16/39858075)))) (fma.f64 8/10935 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7))))) (cbrt.f64 (pow.f64 (cbrt.f64 1/81) 2))))
(fma.f64 (*.f64 x x) (*.f64 8/10935 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7)))) (fma.f64 (cbrt.f64 (/.f64 81 (cbrt.f64 1/81))) (*.f64 (fma.f64 (/.f64 81 (cbrt.f64 1/81)) -16/39858075 (/.f64 4/164025 (cbrt.f64 1/81))) (*.f64 (pow.f64 x 4) 1/3)) (cbrt.f64 (pow.f64 (cbrt.f64 1/81) 2))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)) 1/3) (*.f64 (-.f64 (+.f64 (*.f64 16/597871125 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4))) (*.f64 2/3 (/.f64 (-.f64 4/492075 (*.f64 64/48427561125 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 6)))) (cbrt.f64 1/81)))) (+.f64 (*.f64 16/135 (-.f64 (+.f64 (*.f64 4/164025 (/.f64 1 (cbrt.f64 1/81))) (*.f64 16/13286025 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)))) (*.f64 64/39858075 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4))))) (*.f64 512/1307544150375 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7))))) (pow.f64 x 6)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)) 1/3) (*.f64 (-.f64 (+.f64 (*.f64 4/164025 (/.f64 1 (cbrt.f64 1/81))) (*.f64 16/13286025 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)))) (*.f64 64/39858075 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4)))) (pow.f64 x 4)))) (+.f64 (pow.f64 (pow.f64 (cbrt.f64 1/81) 2) 1/3) (*.f64 8/10935 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7)) 1/3) (pow.f64 x 2))))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4))) (*.f64 (pow.f64 x 6) (+.f64 (/.f64 16/597871125 (pow.f64 (cbrt.f64 1/81) 4)) (-.f64 (*.f64 2/3 (/.f64 (-.f64 4/492075 (/.f64 64/48427561125 (pow.f64 (cbrt.f64 1/81) 6))) (cbrt.f64 1/81))) (fma.f64 16/135 (+.f64 (/.f64 4/164025 (cbrt.f64 1/81)) (-.f64 (/.f64 16/13286025 (pow.f64 (cbrt.f64 1/81) 4)) (/.f64 64/39858075 (pow.f64 (cbrt.f64 1/81) 4)))) (/.f64 512/1307544150375 (pow.f64 (cbrt.f64 1/81) 7))))))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 4))) (*.f64 (pow.f64 x 4) (+.f64 (/.f64 4/164025 (cbrt.f64 1/81)) (-.f64 (/.f64 16/13286025 (pow.f64 (cbrt.f64 1/81) 4)) (/.f64 64/39858075 (pow.f64 (cbrt.f64 1/81) 4)))))) (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/81) 2)) (*.f64 8/10935 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7))))))))
(+.f64 (fma.f64 8/10935 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7))))) (cbrt.f64 (pow.f64 (cbrt.f64 1/81) 2))) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 1/81) 1/81)))) (+.f64 (*.f64 (pow.f64 x 6) (+.f64 (/.f64 16/597871125 (*.f64 (cbrt.f64 1/81) 1/81)) (-.f64 (/.f64 -8/22143375 (cbrt.f64 1/81)) (fma.f64 (+.f64 (/.f64 4/164025 (cbrt.f64 1/81)) (*.f64 (/.f64 1 (*.f64 (cbrt.f64 1/81) 1/81)) -16/39858075)) 16/135 (/.f64 512/1307544150375 (pow.f64 (cbrt.f64 1/81) 7)))))) (*.f64 (pow.f64 x 4) (+.f64 (/.f64 4/164025 (cbrt.f64 1/81)) (*.f64 (/.f64 1 (*.f64 (cbrt.f64 1/81) 1/81)) -16/39858075))))))
(fma.f64 (*.f64 1/3 (cbrt.f64 (/.f64 81 (cbrt.f64 1/81)))) (fma.f64 (pow.f64 x 6) (+.f64 (/.f64 -8/22143375 (cbrt.f64 1/81)) (-.f64 (/.f64 16/7381125 (cbrt.f64 1/81)) (fma.f64 (fma.f64 (/.f64 81 (cbrt.f64 1/81)) -16/39858075 (/.f64 4/164025 (cbrt.f64 1/81))) 16/135 (/.f64 512/1307544150375 (pow.f64 (cbrt.f64 1/81) 7))))) (*.f64 (pow.f64 x 4) (fma.f64 (/.f64 81 (cbrt.f64 1/81)) -16/39858075 (/.f64 4/164025 (cbrt.f64 1/81))))) (fma.f64 (*.f64 x x) (*.f64 8/10935 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7)))) (cbrt.f64 (pow.f64 (cbrt.f64 1/81) 2))))
(fma.f64 (*.f64 1/3 (cbrt.f64 (/.f64 81 (cbrt.f64 1/81)))) (fma.f64 (pow.f64 x 6) (+.f64 (/.f64 16/7381125 (cbrt.f64 1/81)) (+.f64 (/.f64 -8/22143375 (cbrt.f64 1/81)) (fma.f64 (fma.f64 (/.f64 81 (cbrt.f64 1/81)) -16/39858075 (/.f64 4/164025 (cbrt.f64 1/81))) -16/135 (/.f64 -512/1307544150375 (pow.f64 (cbrt.f64 1/81) 7))))) (*.f64 (pow.f64 x 4) (fma.f64 (/.f64 81 (cbrt.f64 1/81)) -16/39858075 (/.f64 4/164025 (cbrt.f64 1/81))))) (fma.f64 (*.f64 x x) (*.f64 8/10935 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/81) 7)))) (cbrt.f64 (pow.f64 (cbrt.f64 1/81) 2))))
(*.f64 1/3 x)
(*.f64 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 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 x 1/3 (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 2/945 (pow.f64 x 5) (*.f64 x 1/3)))
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 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 x 1/3 (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 2/945 (pow.f64 x 5) (*.f64 x 1/3)))
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)))
(*.f64 2/945 (pow.f64 x 5))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(+.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 x 1/3 (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 2/945 (pow.f64 x 5) (*.f64 x 1/3)))
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 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 x 1/3 (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 2/945 (pow.f64 x 5) (*.f64 x 1/3)))
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)))
(*.f64 2/945 (pow.f64 x 5))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))
(+.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 x 1/3 (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 2/945 (pow.f64 x 5) (*.f64 x 1/3)))
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 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 x 1/3 (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 2/945 (pow.f64 x 5) (*.f64 x 1/3)))
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)))

prune248.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1492151
Fresh202
Picked011
Done011
Total1514155
Error
0.1b
Counts
155 → 4
Alt Table
StatusErrorProgram
39.3b
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 3))
✓0.7b
(fma.f64 x (*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (*.f64 2/945 (pow.f64 x 5)))
▶34.6b
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2)
✓0.4b
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))
Compiler

Compiled 5523 to 4159 computations (24.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))
0.1b
(*.f64 2/945 (pow.f64 x 5))
✓0.3b
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2)
0.4b
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))

series4.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2)
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2)
0.0ms
x
@-inf
(sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))
0.0ms
x
@0
(sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))

rewrite64.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
477×log-prod_binary64
379×exp-prod_binary64
320×prod-exp_binary64
305×pow2_binary64
266×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
129438
2289238
Stop Event
1×node limit
Counts
2 → 100
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2)
(sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 1) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) (pow.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 2) (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1/4) (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3/4) (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 5/6) (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3) (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (-.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (*.f64 (pow.f64 x 10) 4/893025)) (-.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(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 x) (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3)) (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 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 x (fma.f64 1/45 (*.f64 x x) 1/3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1/2) (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) 1) (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) (*.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1/2) (*.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) 1) (*.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) (*.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1/2) (*.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/45 (*.f64 x x) 1/3) x (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 2/945 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/945 (pow.f64 x 5)) 1 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/945 (pow.f64 x 5)) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 10) (*.f64 (pow.f64 (cbrt.f64 x) 5) 2/945) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(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 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(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 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3)) (*.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 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 1 (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 2/945) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2) (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2)) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/945 (pow.f64 (cbrt.f64 x) 10)) (pow.f64 (cbrt.f64 x) 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/945 (pow.f64 x 5/2)) (pow.f64 x 5/2) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1/6) (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1/4) (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2)) (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
100 → 100
Calls
Call 1
Inputs
Outputs

prune209.0ms (1.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1722174
Fresh011
Picked011
Done022
Total1726178
Error
0.0b
Counts
178 → 6
Alt Table
StatusErrorProgram
✓34.6b
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2)
43.1b
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3/2)) 2)
39.3b
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 3))
✓0.7b
(fma.f64 x (*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (*.f64 2/945 (pow.f64 x 5)))
34.5b
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 2/945 (pow.f64 x 5)))
✓0.4b
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))
Compiler

Compiled 3996 to 2865 computations (28.3% saved)

regimes16.0ms (0.1%)

Accuracy

Total -61.5b remaining (-16940.3%)

Threshold costs -61.5b (-16940.3%)

Counts
10 → 1
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3/2)) 2)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 2/945 (pow.f64 x 5)))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 3))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2)
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5))) 3))
(fma.f64 x (*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (*.f64 2/945 (pow.f64 x 5)))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))) 2)
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Outputs
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))
Results
6.0ms0.4bx
2.0ms0.4b(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 174 to 119 computations (31.6% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01118
11218
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))
Outputs
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))

end18.0ms (0.2%)

Stop Event
1×fuel
Compiler

Compiled 28 to 20 computations (28.6% saved)

Profiling

Loading profile data...