Details

Time bar (total: 12.2s)

analyze8.0ms (0.1%)

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
49.7%0%50.3%13
49.7%0%50.3%14
Compiler

Compiled 16 to 12 computations (25% saved)

sample9.0s (73.8%)

Results
7.1s4163×body2048valid
1.2s2059×body1024valid
336.0ms1053×body512valid
200.0ms229×body4096valid
143.0ms513×body256valid
30.0ms239×body128valid

preprocess17.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 10 to 8 computations (20% saved)

simplify12.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

prune1.0ms (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
Click to see full alt table
StatusErrorProgram
▶59.7b
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize5.0ms (0%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite49.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
897×log1p-expm1-u_binary64
897×expm1-log1p-u_binary64
89×add-sqr-sqrt_binary64
86×*-un-lft-identity_binary64
86×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
117518
2248218
Stop Event
1×node limit
Counts
2 → 75
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 exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 1))))) (#(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 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 -.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 exp.f64 (*.f64 (log.f64 (/.f64 -1 (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (tan.f64 x))))))))

simplify37.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
821×fma-neg_binary64
753×fma-def_binary64
297×cancel-sign-sub-inv_binary64
295×associate-*l*_binary64
204×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034303
187293
2189291
3491291
41002291
52255291
64225291
Stop Event
1×node limit
Counts
99 → 93
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)))))
(*.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))))
(*.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))

eval27.0ms (0.2%)

Compiler

Compiled 1278 to 824 computations (35.5% saved)

prune19.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New88593
Fresh000
Picked011
Done000
Total88694
Error
0.4b
Counts
94 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓59.7b
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
▶0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
▶0.5b
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
▶59.7b
(/.f64 (/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x) (tan.f64 x))
▶0.9b
(*.f64 1/3 x)
▶59.8b
(+.f64 (/.f64 1 x) (-.f64 (*.f64 1/3 x) (/.f64 1 x)))
Compiler

Compiled 113 to 81 computations (28.3% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series6.0ms (0%)

Counts
4 → 3
Calls

12 calls:

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

rewrite57.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
557×log-prod_binary64
308×fma-def_binary64
229×expm1-udef_binary64
229×log1p-udef_binary64
182×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
128832
2329032
Stop Event
1×node limit
Counts
4 → 107
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 2/945 (pow.f64 x 5))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 1/3 x))) (cbrt.f64 (exp.f64 (*.f64 1/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))))
((#(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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5))) (cbrt.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5))))) (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 (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/843908625 (pow.f64 (pow.f64 x 5) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/893025 (pow.f64 x 10)))))) (#(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 8/843908625 (pow.f64 (pow.f64 x 5) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2/945 (pow.f64 x 5))) 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 0 (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/45 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/2025))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 1/45)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4/893025 (pow.f64 x 10)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 -1/45 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 1/2025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125 (*.f64 8/843908625 (pow.f64 (pow.f64 x 5) 3))) (/.f64 1 (-.f64 (fma.f64 4/893025 (pow.f64 x 10) (*.f64 (pow.f64 x 6) 1/2025)) (*.f64 2/945 (*.f64 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 4/893025 (pow.f64 x 10)) (*.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (fma.f64 2/945 (pow.f64 x 5) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 4/893025 (pow.f64 x 10) (*.f64 (pow.f64 x 6) 1/2025)) (*.f64 2/945 (*.f64 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))) (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125 (*.f64 8/843908625 (pow.f64 (pow.f64 x 5) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 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3)))) (neg.f64 (-.f64 (fma.f64 4/893025 (pow.f64 x 10) (*.f64 (pow.f64 x 6) 1/2025)) (*.f64 2/945 (*.f64 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 4/893025 (pow.f64 x 10)) (*.f64 (pow.f64 x 6) 1/2025))) (neg.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 4/893025 (pow.f64 x 10))) (-.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/45 (pow.f64 x 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 1/45) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5)) (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (exp.f64 2/945) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) 1/45) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 2/945 (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/945 (pow.f64 x 5)) 1 (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/45 (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/45 (pow.f64 x 3)) 1 (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x 1/45) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) (cbrt.f64 (*.f64 4/893025 (pow.f64 x 10))) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4/893025 (pow.f64 x 10))) (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 1/45)) (pow.f64 (*.f64 x (cbrt.f64 1/45)) 2) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/45)) 2) (*.f64 x (cbrt.f64 1/45)) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 2/945) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2)) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 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simplify52.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
828×sqr-pow_binary64
416×unswap-sqr_binary64
388×pow-sqr_binary64
332×cube-prod_binary64
241×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
12421
25021
39921
421421
562221
691221
7154821
8165621
9181821
10203521
11236521
12282121
13341821
14416921
Stop Event
1×node limit
Counts
110 → 109
Calls
Call 1
Inputs
(*.f64 1/45 (pow.f64 x 3))
(*.f64 2/945 (pow.f64 x 5))
(*.f64 2/945 (pow.f64 x 5))
Outputs
(*.f64 1/45 (pow.f64 x 3))
(*.f64 2/945 (pow.f64 x 5))
(*.f64 2/945 (pow.f64 x 5))

localize2.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(*.f64 1/3 x)
0.4b
(*.f64 1/3 x)

rewrite0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize5.0ms (0%)

Local error

Found 6 expressions with local error:

NewErrorProgram
3.5b
(+.f64 (/.f64 1 x) (-.f64 (*.f64 1/3 x) (/.f64 1 x)))
0.4b
(*.f64 1/3 x)
0.0b
(-.f64 (*.f64 1/3 x) (/.f64 1 x))
✓0.0b
(-.f64 (*.f64 1/3 x) (/.f64 1 x))
0.4b
(*.f64 1/3 x)
✓3.5b
(+.f64 (/.f64 1 x) (-.f64 (*.f64 1/3 x) (/.f64 1 x)))

series2.0ms (0%)

Counts
2 → 15
Calls

6 calls:

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

rewrite66.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
468×fma-def_binary64
400×log-prod_binary64
254×fma-neg_binary64
159×expm1-udef_binary64
159×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0826
118322
2267022
Stop Event
1×node limit
Counts
2 → 200
Calls
Call 1
Inputs
(+.f64 (/.f64 1 x) (-.f64 (*.f64 1/3 x) (/.f64 1 x)))
(-.f64 (*.f64 1/3 x) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/3) (-.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x 1/3 (/.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 x 1/3 (/.f64 1 x)) (/.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) (fma.f64 x 1/3 (/.f64 -1 x)))) (/.f64 (pow.f64 (fma.f64 x 1/3 (/.f64 -1 x)) 2) (-.f64 (/.f64 1 x) (fma.f64 x 1/3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 x 1/3 (/.f64 1 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 x 1/3 (/.f64 1 x)) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/3 (/.f64 1 x)) (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/3 (/.f64 1 x)) (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/3 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(2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 (/.f64 1 x))) (pow.f64 (exp.f64 1/3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/3 (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/3 (/.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/3) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/3) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 1/3 (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 1/3 (/.f64 -1 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 1/3 (/.f64 -1 x)) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 x) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 x (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 x (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/3) 1 (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/3) 1 (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 1/3 (/.f64 -1 x)) 1 (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 1/3 (/.f64 -1 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 1/3 (/.f64 -1 x)) 1 (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (cbrt.f64 (*.f64 x 1/3)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (cbrt.f64 (*.f64 x 1/3)) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3) (/.f64 -1 x))))) (#(struct:change #<rule 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(/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 1/3 (/.f64 -1 x))) (sqrt.f64 (fma.f64 x 1/3 (/.f64 -1 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 1/3 (/.f64 -1 x))) (sqrt.f64 (fma.f64 x 1/3 (/.f64 -1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 x) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (fma.f64 1/9 (*.f64 x x) (pow.f64 x -2)) (/.f64 (*.f64 x 1/3) x))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (fma.f64 1/9 (*.f64 x x) (pow.f64 x -2)) (/.f64 (*.f64 x 1/3) x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (fma.f64 1/9 (*.f64 x x) (pow.f64 x -2)) (/.f64 (*.f64 x 1/3) x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/3 (/.f64 1 x))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/3 (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/3 (/.f64 1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x))) (cbrt.f64 (/.f64 -1 x)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (/.f64 -1 x)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x 1/3)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x 1/3)) (pow.f64 x -1/2)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x 1/3)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x 1/3)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x 1/3)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x 1/3)) (pow.f64 x -1/2)) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (/.f64 -1 x) 1))))))

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0660
1760
Stop Event
1×saturated
Counts
215 → 202
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(/.f64 -1 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(/.f64 -1 x)
(*.f64 1/3 x)
(*.f64 1/3 x)

localize5.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
0.0b
(fma.f64 1/45 (*.f64 x x) 1/3)
✓0.0b
(fma.f64 1/45 (*.f64 x x) 1/3)
✓0.4b
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite84.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
612×pow1_binary64
570×add-log-exp_binary64
570×log1p-expm1-u_binary64
570×expm1-log1p-u_binary64
69×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
114219
2156819
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(fma.f64 1/45 (*.f64 x x) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) x) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/45 (*.f64 x x))) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))))
((#(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 (*.f64 (*.f64 1/45 (*.f64 x x)) 1) 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 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9) (-.f64 (*.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) 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 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 log1p.f64 (expm1.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))

simplify69.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
536×unswap-sqr_binary64
515×sqr-pow_binary64
404×associate-*l*_binary64
392×*-commutative_binary64
260×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013222
131204
261204
3135204
4340204
51307204
62695204
72881204
83132204
93419204
103798204
114300204
124914204
Stop Event
1×node limit
Counts
62 → 47
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
1/3
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(*.f64 1/45 (pow.f64 x 2))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(*.f64 1/45 (pow.f64 x 2))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
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)

localize5.0ms (0%)

Local error

Found 6 expressions with local error:

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

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite57.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
887×log1p-expm1-u_binary64
887×expm1-log1p-u_binary64
91×add-sqr-sqrt_binary64
88×*-un-lft-identity_binary64
88×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
116929
2293329
Stop Event
1×node limit
Counts
3 → 125
Calls
Call 1
Inputs
(+.f64 (tan.f64 x) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x) (tan.f64 x))
(/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (tan.f64 x) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (tan.f64 x) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) 2) (cbrt.f64 (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) (sqrt.f64 (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2) (*.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2) (/.f64 1 (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2) (*.f64 (tan.f64 x) x)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (tan.f64 x) x) (pow.f64 (+.f64 (tan.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2) (*.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2) (+.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (neg.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2) (*.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2)) (+.f64 x (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2) (*.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (-.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (tan.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (tan.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (tan.f64 x))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (tan.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 x) x) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) x) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (tan.f64 x) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (tan.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) 2) (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (neg.f64 (tan.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 (tan.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) 1) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (tan.f64 x) x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (tan.f64 x) x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (tan.f64 x) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (tan.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (tan.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 (tan.f64 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (tan.f64 x) x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))))

simplify39.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
845×fma-def_binary64
703×associate-*l*_binary64
595×distribute-rgt-out_binary64
511×associate-*r*_binary64
145×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066478
1167460
2391460
31149460
44121460
Stop Event
1×node limit
Counts
161 → 158
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.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 1/3 (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4)))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 62/2835 (pow.f64 x 8)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4)))))
-1
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
-1
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 17/315 (pow.f64 x 7))))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 62/2835 (pow.f64 x 9)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 17/315 (pow.f64 x 7) (*.f64 62/2835 (pow.f64 x 9)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) 1/45))
(fma.f64 (pow.f64 x 3) 1/45 (*.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 (pow.f64 x 3) 1/45)))
(fma.f64 1/3 x (fma.f64 (pow.f64 x 3) 1/45 (*.f64 (pow.f64 x 5) 2/945)))
(fma.f64 (pow.f64 x 3) 1/45 (fma.f64 (pow.f64 x 5) 2/945 (*.f64 1/3 x)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 1/4725))))
(fma.f64 1/3 x (fma.f64 (pow.f64 x 5) 2/945 (fma.f64 (pow.f64 x 3) 1/45 (*.f64 (pow.f64 x 7) 1/4725))))
(*.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 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4)))
(fma.f64 1/3 (*.f64 x x) (*.f64 2/15 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/15) 1/3))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 1/3 (*.f64 x x) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 1/3 (*.f64 x x) (fma.f64 17/315 (pow.f64 x 6) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 1/3 (*.f64 x x) (fma.f64 2/15 (pow.f64 x 4) (*.f64 17/315 (pow.f64 x 6))))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 62/2835 (pow.f64 x 8)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4)))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 62/2835 (pow.f64 x 8) (fma.f64 1/3 (*.f64 x x) (*.f64 2/15 (pow.f64 x 4)))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 1/3 (*.f64 x x) (fma.f64 62/2835 (pow.f64 x 8) (*.f64 2/15 (pow.f64 x 4)))))
(fma.f64 1/3 (*.f64 x x) (fma.f64 2/15 (pow.f64 x 4) (fma.f64 62/2835 (pow.f64 x 8) (*.f64 17/315 (pow.f64 x 6)))))
-1
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(+.f64 -1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(+.f64 -1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(+.f64 -1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
-1
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(+.f64 -1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(+.f64 -1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(+.f64 -1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))

eval262.0ms (2.1%)

Compiler

Compiled 9331 to 6126 computations (34.3% saved)

prune169.0ms (1.4%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New53315548
Fresh000
Picked101
Done235
Total53618554
Error
0.1b
Counts
554 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
39.2b
(/.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x) (tan.f64 x))
▶0.5b
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9) (-.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))
✓59.7b
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
1.9b
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3) (+.f64 (/.f64 -1 x) (/.f64 1 x)))
✓0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
30.2b
(fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (cbrt.f64 (*.f64 x 1/3)) (+.f64 (/.f64 -1 x) (/.f64 1 x)))
39.8b
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) x) (tan.f64 x))
▶39.8b
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
▶34.3b
(fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 (/.f64 -1 x) (/.f64 1 x)))
29.9b
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
1.9b
(fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 (/.f64 -1 x) (/.f64 1 x)))
▶0.5b
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))
59.7b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
✓0.9b
(*.f64 1/3 x)
2.0b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
34.3b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
47.1b
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
▶0.5b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
Compiler

Compiled 459 to 323 computations (29.6% saved)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x)))
0.0b
(/.f64 (-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9) (-.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
0.0b
(-.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
0.0b
(-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9)
✓0.0b
(/.f64 (-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9) (-.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
✓0.1b
(*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x)))
✓0.2b
(*.f64 1/45 (*.f64 x x))
✓0.4b
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9) (-.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))

series6.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite121.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
314×prod-diff_binary64
235×log1p-udef_binary64
183×egg-rr
139×add-sqr-sqrt_binary64
132×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01266
128333
2386133
Stop Event
1×node limit
Counts
4 → 236
Calls
Call 1
Inputs
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9) (-.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))
(*.f64 1/45 (*.f64 x x))
(*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9) (-.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
Outputs
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egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/45 (*.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/45 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 1/45)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2025 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 1/45))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/45)) (*.f64 x (sqrt.f64 1/45)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/45) x 1/3)))))

simplify87.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
803×unswap-sqr_binary64
657×sqr-pow_binary64
309×*-commutative_binary64
297×pow-sqr_binary64
270×cube-prod_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017390
138372
275372
3178372
4565372
51029372
62384372
72503372
82677372
92894372
103179372
113553372
123997372
134548372
Stop Event
1×node limit
Counts
284 → 246
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
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 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
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)

localize6.0ms (0%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.4b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
0.2b
(*.f64 1/45 (*.f64 x x))
0.0b
(+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
✓0.0b
(+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
0.2b
(*.f64 1/45 (*.f64 x x))
✓0.4b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite47.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
840×log1p-expm1-u_binary64
840×expm1-log1p-u_binary64
91×add-sqr-sqrt_binary64
86×add-exp-log_binary64
86×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
118119
2232419
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/45 (pow.f64 x 3)) 1) (*.f64 (*.f64 x 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 1/3) 3)) (+.f64 (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/45 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x 1/3) (*.f64 x 1/3)) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/45 (pow.f64 x 3))) (*.f64 (*.f64 x 1/3) (*.f64 x 1/3))) (-.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/27 (*.f64 1/91125 (pow.f64 (*.f64 x x) 3))) x) (-.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) 1/9) (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9) x) (fma.f64 1/45 (*.f64 x x) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/27 (*.f64 1/91125 (pow.f64 (*.f64 x x) 3)))) (-.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) 1/9) (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9)) (fma.f64 1/45 (*.f64 x x) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x (*.f64 x 1/45)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 1/45)) x (*.f64 x 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/2025 (pow.f64 x 4)) (fma.f64 1/45 (*.f64 x x) -1/3)) (/.f64 1/9 (fma.f64 1/45 (*.f64 x x) -1/3)))))) (#(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 (+.f64 1/27 (*.f64 1/91125 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (-.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9) (/.f64 1 (fma.f64 1/45 (*.f64 x x) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) 1/9) (*.f64 (*.f64 x x) 1/135)) (+.f64 1/27 (*.f64 1/91125 (pow.f64 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/45 (*.f64 x x) -1/3) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (*.f64 1/91125 (pow.f64 (*.f64 x x) 3))) (-.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) 1/9) (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (*.f64 1/91125 (pow.f64 (*.f64 x x) 3))) (+.f64 1/9 (-.f64 (*.f64 1/2025 (pow.f64 x 4)) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9) (fma.f64 1/45 (*.f64 x x) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (*.f64 1/91125 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (-.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9)) (neg.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 1/2025 (pow.f64 x 4))) (-.f64 1/3 (*.f64 x (*.f64 x 1/45))))))) (#(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) 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 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 log1p.f64 (expm1.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/45 (*.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/45 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 1/45)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2025 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 1/45))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/45)) (*.f64 x (sqrt.f64 1/45)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/45) x 1/3)))))

simplify70.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
536×unswap-sqr_binary64
515×sqr-pow_binary64
404×associate-*l*_binary64
392×*-commutative_binary64
260×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013222
131204
261204
3135204
4340204
51307204
62695204
72881204
83132204
93419204
103798204
114300204
124914204
Stop Event
1×node limit
Counts
85 → 70
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
1/3
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(*.f64 1/45 (pow.f64 x 2))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(*.f64 1/45 (pow.f64 x 2))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
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)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x)))
0.1b
(pow.f64 (*.f64 1/45 (*.f64 x x)) 3)
0.0b
(/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3))))
0.0b
(-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
0.1b
(*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x)))
0.2b
(*.f64 1/45 (*.f64 x x))
✓0.2b
(*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
✓0.4b
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite32.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
193×add-sqr-sqrt_binary64
185×pow1_binary64
184×*-un-lft-identity_binary64
183×add-cbrt-cube_binary64
183×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01753
140037
Stop Event
1×node limit
Counts
2 → 39
Calls
Call 1
Inputs
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))
(*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (*.f64 x (fma.f64 1/91125 (pow.f64 x 6) 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 1/91125 (pow.f64 x 6) 1/27)) (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (fma.f64 1/91125 (pow.f64 x 6) 1/27))) (neg.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 1/91125 (pow.f64 x 6) 1/27)) 1) (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 1/91125 (pow.f64 x 6) 1/27)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))) 2)) (cbrt.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 1/91125 (pow.f64 x 6) 1/27)) (sqrt.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)))) (sqrt.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) x) (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27)) x) (neg.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1) (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27))) (neg.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/135))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/135) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/135)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/135)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/91125 (pow.f64 x 6)) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 1/2025 (pow.f64 x 4)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 1/91125 (pow.f64 x 6)) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/135)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/135)))))))

simplify65.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
536×unswap-sqr_binary64
515×sqr-pow_binary64
443×associate-*l*_binary64
345×*-commutative_binary64
277×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013201
130201
262201
3147201
4377201
51438201
62865201
73051201
83302201
93589201
103968201
114474201
Stop Event
1×node limit
Counts
63 → 45
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))

localize4.0ms (0%)

Local error

Found 6 expressions with local error:

NewErrorProgram
39.3b
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
0.4b
(*.f64 1/3 x)
0.3b
(pow.f64 (*.f64 1/3 x) 3)
✓0.3b
(pow.f64 (*.f64 1/3 x) 3)
0.4b
(*.f64 1/3 x)
✓39.3b
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))

series11.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@0
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
2.0ms
x
@-inf
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
1.0ms
x
@0
(pow.f64 (*.f64 1/3 x) 3)
1.0ms
x
@inf
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
1.0ms
x
@-inf
(pow.f64 (*.f64 1/3 x) 3)

rewrite40.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
520×pow1_binary64
492×add-log-exp_binary64
492×log1p-expm1-u_binary64
492×expm1-log1p-u_binary64
480×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
115011
2140811
Stop Event
1×node limit
Counts
2 → 51
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(pow.f64 (*.f64 1/3 x) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (*.f64 (*.f64 x x) 1/9) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) 1/9) 1/3) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/27 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/3 x) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 1/3 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 x (*.f64 (*.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/3 (*.f64 (*.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1/9) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 (*.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (*.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 3/2) (pow.f64 (*.f64 1/3 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 3) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 3) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) 1) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) 1/9) (sqrt.f64 (*.f64 1/3 x))) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/27) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 1/3 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 1/3 x) 3)))))))

simplify71.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
568×sqr-pow_binary64
448×associate-*l*_binary64
362×unswap-sqr_binary64
313×pow-sqr_binary64
256×cube-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013164
128164
258164
391164
4150164
5377164
61245164
71938164
82057164
92450164
102608164
112838164
123160164
133581164
144081164
154674164
Stop Event
1×node limit
Counts
75 → 54
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 1/27) x)
(*.f64 (cbrt.f64 1/27) x)
(*.f64 (cbrt.f64 1/27) x)
(*.f64 (cbrt.f64 1/27) x)
(*.f64 (cbrt.f64 1/27) x)
(*.f64 (cbrt.f64 1/27) x)
(*.f64 (cbrt.f64 1/27) x)
(*.f64 (cbrt.f64 1/27) x)
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
Outputs
(*.f64 (cbrt.f64 1/27) x)
(*.f64 (cbrt.f64 1/27) x)
(*.f64 (cbrt.f64 1/27) x)
(*.f64 (cbrt.f64 1/27) x)
(*.f64 (cbrt.f64 1/27) x)
(*.f64 (cbrt.f64 1/27) x)
(*.f64 (cbrt.f64 1/27) x)
(*.f64 (cbrt.f64 1/27) x)
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 1/3 (sqrt.f64 x))
0.2b
(fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 (/.f64 -1 x) (/.f64 1 x)))
✓0.2b
(fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 (/.f64 -1 x) (/.f64 1 x)))
✓0.2b
(*.f64 1/3 (sqrt.f64 x))

series4.0ms (0%)

Counts
2 → 0
Calls

6 calls:

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

rewrite46.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
861×log1p-expm1-u_binary64
861×expm1-log1p-u_binary64
114×add-sqr-sqrt_binary64
108×*-un-lft-identity_binary64
108×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
123316
2317616
Stop Event
1×node limit
Counts
2 → 37
Calls
Call 1
Inputs
(*.f64 1/3 (sqrt.f64 x))
(fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 (/.f64 -1 x) (/.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 x) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/3 x) 1) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/3 x) (/.f64 -1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 x) (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x))) 2) (cbrt.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x))) (sqrt.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 3) (pow.f64 (/.f64 2 x) 3)) (+.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (-.f64 (pow.f64 (/.f64 2 x) 2) (*.f64 (*.f64 1/3 x) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (pow.f64 (/.f64 2 x) 2)) (-.f64 (*.f64 1/3 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 x) (*.f64 1/3 x))))))))

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
37 → 37
Calls
Call 1
Inputs
Outputs

eval406.0ms (3.3%)

Compiler

Compiled 19821 to 13764 computations (30.6% saved)

prune149.0ms (1.2%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New5975602
Fresh7310
Picked101
Done257
Total60713620
Error
0.0b
Counts
620 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶39.2b
(/.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x) (tan.f64 x))
✓0.5b
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9) (-.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))
✓59.7b
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
▶0.5b
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 x (*.f64 x 1/135))))))
59.7b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
29.9b
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
▶47.1b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
✓0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
▶58.7b
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
✓0.9b
(*.f64 1/3 x)
1.2b
(*.f64 (pow.f64 1/27 1/3) x)
▶0.1b
(/.f64 x (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)))
✓0.5b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
Compiler

Compiled 271 to 191 computations (29.5% saved)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite44.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
790×log1p-expm1-u_binary64
790×expm1-log1p-u_binary64
91×add-sqr-sqrt_binary64
85×add-cbrt-cube_binary64
85×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
118922
2223122
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3))
(/.f64 x (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (cbrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) -1/2) (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) -1) (pow.f64 (sqrt.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) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) -1/2) 2)))) (#(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 (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.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 (neg.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) x) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/45 (*.f64 x x))) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/45 (*.f64 x x) 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) -2))) (/.f64 x (/.f64 1 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) -2))) (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) -1/2)) (/.f64 x (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1) (neg.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 -1 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))))

simplify32.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
747×unswap-sqr_binary64
477×associate-/r*_binary64
411×associate-*l*_binary64
408×fma-def_binary64
384×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047333
1115331
2284327
3840327
43868327
Stop Event
1×node limit
Counts
85 → 81
Calls
Call 1
Inputs
3
(+.f64 3 (*.f64 -1/5 (pow.f64 x 2)))
(+.f64 3 (+.f64 (*.f64 -1/5 (pow.f64 x 2)) (*.f64 1/75 (pow.f64 x 4))))
(+.f64 3 (+.f64 (*.f64 -1/1125 (pow.f64 x 6)) (+.f64 (*.f64 -1/5 (pow.f64 x 2)) (*.f64 1/75 (pow.f64 x 4)))))
(/.f64 45 (pow.f64 x 2))
(-.f64 (*.f64 45 (/.f64 1 (pow.f64 x 2))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 4))) (*.f64 151875 (/.f64 1 (pow.f64 x 8)))))
(/.f64 45 (pow.f64 x 2))
(-.f64 (*.f64 45 (/.f64 1 (pow.f64 x 2))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 4))) (*.f64 151875 (/.f64 1 (pow.f64 x 8)))))
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
Outputs
3
(+.f64 3 (*.f64 -1/5 (pow.f64 x 2)))
(+.f64 3 (*.f64 -1/5 (*.f64 x x)))
(fma.f64 -1/5 (*.f64 x x) 3)
(+.f64 3 (+.f64 (*.f64 -1/5 (pow.f64 x 2)) (*.f64 1/75 (pow.f64 x 4))))
(+.f64 3 (fma.f64 -1/5 (*.f64 x x) (*.f64 1/75 (pow.f64 x 4))))
(fma.f64 -1/5 (*.f64 x x) (fma.f64 1/75 (pow.f64 x 4) 3))
(+.f64 3 (+.f64 (*.f64 -1/1125 (pow.f64 x 6)) (+.f64 (*.f64 -1/5 (pow.f64 x 2)) (*.f64 1/75 (pow.f64 x 4)))))
(+.f64 3 (fma.f64 -1/1125 (pow.f64 x 6) (fma.f64 -1/5 (*.f64 x x) (*.f64 1/75 (pow.f64 x 4)))))
(fma.f64 -1/1125 (pow.f64 x 6) (fma.f64 -1/5 (*.f64 x x) (fma.f64 1/75 (pow.f64 x 4) 3)))
(fma.f64 -1/5 (*.f64 x x) (fma.f64 1/75 (pow.f64 x 4) (fma.f64 -1/1125 (pow.f64 x 6) 3)))
(/.f64 45 (pow.f64 x 2))
(/.f64 45 (*.f64 x x))
(-.f64 (*.f64 45 (/.f64 1 (pow.f64 x 2))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 45 (*.f64 x x)) (/.f64 675 (pow.f64 x 4)))
(+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -675 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (/.f64 675 (pow.f64 x 4)))
(+.f64 (/.f64 10125 (pow.f64 x 6)) (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -675 (pow.f64 x 4))))
(+.f64 (/.f64 45 (*.f64 x x)) (+.f64 (/.f64 10125 (pow.f64 x 6)) (/.f64 -675 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 4))) (*.f64 151875 (/.f64 1 (pow.f64 x 8)))))
(-.f64 (-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (/.f64 675 (pow.f64 x 4))) (/.f64 151875 (pow.f64 x 8)))
(+.f64 (/.f64 10125 (pow.f64 x 6)) (-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -675 (pow.f64 x 4))) (/.f64 151875 (pow.f64 x 8))))
(+.f64 (/.f64 45 (*.f64 x x)) (+.f64 (/.f64 10125 (pow.f64 x 6)) (+.f64 (/.f64 -675 (pow.f64 x 4)) (/.f64 -151875 (pow.f64 x 8)))))
(/.f64 45 (pow.f64 x 2))
(/.f64 45 (*.f64 x x))
(-.f64 (*.f64 45 (/.f64 1 (pow.f64 x 2))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 45 (*.f64 x x)) (/.f64 675 (pow.f64 x 4)))
(+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -675 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (/.f64 675 (pow.f64 x 4)))
(+.f64 (/.f64 10125 (pow.f64 x 6)) (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -675 (pow.f64 x 4))))
(+.f64 (/.f64 45 (*.f64 x x)) (+.f64 (/.f64 10125 (pow.f64 x 6)) (/.f64 -675 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 4))) (*.f64 151875 (/.f64 1 (pow.f64 x 8)))))
(-.f64 (-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (/.f64 675 (pow.f64 x 4))) (/.f64 151875 (pow.f64 x 8)))
(+.f64 (/.f64 10125 (pow.f64 x 6)) (-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -675 (pow.f64 x 4))) (/.f64 151875 (pow.f64 x 8))))
(+.f64 (/.f64 45 (*.f64 x x)) (+.f64 (/.f64 10125 (pow.f64 x 6)) (+.f64 (/.f64 -675 (pow.f64 x 4)) (/.f64 -151875 (pow.f64 x 8)))))
(*.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 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))

localize5.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
5.1b
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
0.4b
(*.f64 1/3 x)
0.4b
(*.f64 1/3 x)
✓5.1b
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite34.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
726×pow1_binary64
683×log1p-expm1-u_binary64
683×expm1-log1p-u_binary64
79×add-sqr-sqrt_binary64
74×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11564
220224
Stop Event
1×node limit
Counts
1 → 45
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 1/3 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 1/3 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 1/3 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 1/3 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 1/3 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2)) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/3 x) 2) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (-.f64 1 (*.f64 (fma.f64 1/3 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1) (+.f64 (*.f64 1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1) (-.f64 (fma.f64 1/3 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/3 x -1) (fma.f64 1/3 x -1)) (fma.f64 1/3 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 1/3 x -1) (fma.f64 1/3 x -1))) (-.f64 1 (fma.f64 1/3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/3 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x 1)) 2) (cbrt.f64 (fma.f64 1/3 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/3 x 1)) (sqrt.f64 (fma.f64 1/3 x 1)) -1)))))

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
1548
Stop Event
1×saturated
Counts
57 → 45
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)

localize4.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
29.2b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
0.2b
(*.f64 (*.f64 x x) 1/9)
✓0.2b
(*.f64 (*.f64 x x) 1/9)
✓29.2b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite33.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
508×pow1_binary64
475×add-log-exp_binary64
475×log1p-expm1-u_binary64
475×expm1-log1p-u_binary64
463×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0616
112411
2138611
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(*.f64 (*.f64 x x) 1/9)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 1/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (*.f64 x 1/9) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 1/81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/9))))))))

simplify67.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
579×associate-*l*_binary64
486×sqr-pow_binary64
434×unswap-sqr_binary64
311×associate-*r*_binary64
285×cube-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

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

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x)))
0.1b
(pow.f64 (*.f64 1/45 (*.f64 x x)) 3)
0.0b
(-.f64 1/9 (*.f64 x (*.f64 x 1/135)))
0.0b
(/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 x (*.f64 x 1/135)))))
✓0.1b
(*.f64 x (*.f64 x 1/135))
0.2b
(*.f64 1/45 (*.f64 x x))
✓0.2b
(*.f64 x 1/135)
✓0.4b
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 x (*.f64 x 1/135))))))

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 x 1/135)
0.0ms
x
@0
(*.f64 x 1/135)
0.0ms
x
@0
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 x (*.f64 x 1/135))))))
0.0ms
x
@inf
(*.f64 x 1/135)
0.0ms
x
@inf
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 x (*.f64 x 1/135))))))

rewrite32.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
205×add-sqr-sqrt_binary64
196×add-log-exp_binary64
196×pow1_binary64
196×log1p-expm1-u_binary64
196×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01851
142641
Stop Event
1×node limit
Counts
3 → 45
Calls
Call 1
Inputs
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 x (*.f64 x 1/135))))))
(*.f64 x 1/135)
(*.f64 x (*.f64 x 1/135))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135)) (*.f64 x (fma.f64 1/91125 (pow.f64 x 6) 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 1/91125 (pow.f64 x 6) 1/27)) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (fma.f64 1/91125 (pow.f64 x 6) 1/27))) (neg.f64 (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/135))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/135) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/135) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/135)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/135)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/18225))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/135) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/135) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/135)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/135)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/135)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/135)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/135))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/135)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 1/2460375) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/18225))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 1/2460375))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/135))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/135))))))))

simplify67.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
536×unswap-sqr_binary64
515×sqr-pow_binary64
457×associate-*l*_binary64
345×*-commutative_binary64
284×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014249
132249
262249
3144249
4370249
51492249
62914249
73100249
83350249
93637249
104016249
114525249
Stop Event
1×node limit
Counts
81 → 53
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/135 x)
(*.f64 1/135 x)
(*.f64 1/135 x)
(*.f64 1/135 x)
(*.f64 1/135 x)
(*.f64 1/135 x)
(*.f64 1/135 x)
(*.f64 1/135 x)
(*.f64 1/135 x)
(*.f64 1/135 x)
(*.f64 1/135 x)
(*.f64 1/135 x)
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 1/135 x)
(*.f64 x 1/135)
(*.f64 1/135 x)
(*.f64 x 1/135)
(*.f64 1/135 x)
(*.f64 x 1/135)
(*.f64 1/135 x)
(*.f64 x 1/135)
(*.f64 1/135 x)
(*.f64 x 1/135)
(*.f64 1/135 x)
(*.f64 x 1/135)
(*.f64 1/135 x)
(*.f64 x 1/135)
(*.f64 1/135 x)
(*.f64 x 1/135)
(*.f64 1/135 x)
(*.f64 x 1/135)
(*.f64 1/135 x)
(*.f64 x 1/135)
(*.f64 1/135 x)
(*.f64 x 1/135)
(*.f64 1/135 x)
(*.f64 x 1/135)
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
9.3b
(/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x)
0.1b
(fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))
0.1b
(*.f64 17/315 (pow.f64 x 7))
0.0b
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))))
✓0.1b
(*.f64 17/315 (pow.f64 x 7))
✓0.1b
(fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))
✓9.3b
(/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x)
✓29.3b
(/.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x) (tan.f64 x))

series8.0ms (0.1%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x) (tan.f64 x))
2.0ms
x
@inf
(/.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x) (tan.f64 x))
1.0ms
x
@inf
(fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))
1.0ms
x
@0
(/.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x) (tan.f64 x))
1.0ms
x
@-inf
(fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))

rewrite80.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
313×log1p-udef_binary64
199×prod-diff_binary64
181×add-sqr-sqrt_binary64
174×add-log-exp_binary64
174×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01774
138174
2448074
Stop Event
1×node limit
Counts
4 → 110
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x) (tan.f64 x))
(/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))
(*.f64 17/315 (pow.f64 x 7))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) (*.f64 x (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) (/.f64 1 (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) (*.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) (*.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 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(*.f64 17/315 (pow.f64 x 7)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/3 (pow.f64 x 3)) 1) (*.f64 17/315 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 17/315 (pow.f64 x 7)) 3)) (+.f64 (*.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 3))) (-.f64 (*.f64 289/99225 (pow.f64 x 14)) (*.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 3))) (*.f64 289/99225 (pow.f64 x 14))) (-.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 17/315 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 17/315 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 17/315 (pow.f64 x 7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 17/315 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 17/315) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 289/99225 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 17/315) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 17/315 (pow.f64 x 7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 17/315 (pow.f64 x 7))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 17/315 (pow.f64 x 7))))))))

simplify54.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
950×fma-def_binary64
349×*-commutative_binary64
269×unswap-sqr_binary64
254×associate-*l/_binary64
253×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
052700
1136700
2337700
31039640
42616600
53943600
64857600
Stop Event
1×node limit
Counts
146 → 136
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 -307/14175 (pow.f64 x 7)) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))))
(*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x)))
(+.f64 (*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x))) (*.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x))))
(+.f64 (*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x))) (*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))))
(+.f64 (*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x))) (*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))))
(*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x)))
(+.f64 (*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x))) (*.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x))))
(+.f64 (*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x))) (*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))))
(+.f64 (*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x))) (*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))))
(*.f64 1/3 (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4)))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(*.f64 17/315 (pow.f64 x 6))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (*.f64 2/15 (pow.f64 x 4)))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(*.f64 17/315 (pow.f64 x 6))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (*.f64 2/15 (pow.f64 x 4)))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(*.f64 17/315 (pow.f64 x 7))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(*.f64 17/315 (pow.f64 x 7))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (*.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)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 -307/14175 (pow.f64 x 7)) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))))
(fma.f64 1/3 x (fma.f64 -307/14175 (pow.f64 x 7) (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))))
(fma.f64 1/3 x (fma.f64 -307/14175 (pow.f64 x 7) (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))
(fma.f64 -307/14175 (pow.f64 x 7) (fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (*.f64 -307/14175 (pow.f64 x 7)))))
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 -307/14175 (pow.f64 x 7) (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))
(*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x)))
(*.f64 17/315 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 6))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 17/315 (pow.f64 x 6)))
(*.f64 (*.f64 17/315 (pow.f64 x 6)) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 17/315 (/.f64 (pow.f64 x 6) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x))) (*.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x))))
(fma.f64 17/315 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 6))) (*.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x))))
(fma.f64 17/315 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 6))) (/.f64 (*.f64 2/15 (*.f64 (cos.f64 x) (pow.f64 x 4))) (sin.f64 x)))
(fma.f64 17/315 (*.f64 (pow.f64 x 6) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 (*.f64 (cos.f64 x) 2/15) (sin.f64 x)) (pow.f64 x 4)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 17/315 (pow.f64 x 6) (*.f64 2/15 (pow.f64 x 4))))
(*.f64 (*.f64 (pow.f64 x 4) (fma.f64 17/315 (*.f64 x x) 2/15)) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x))) (*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))))
(fma.f64 17/315 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 6))) (fma.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x)) (*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))))
(fma.f64 17/315 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 6))) (fma.f64 1/3 (/.f64 (*.f64 x x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 2/15 (*.f64 (cos.f64 x) (pow.f64 x 4))) (sin.f64 x))))
(fma.f64 2/15 (*.f64 (pow.f64 x 4) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 17/315 (pow.f64 x 6)))))
(fma.f64 17/315 (*.f64 (cos.f64 x) (/.f64 (pow.f64 x 6) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3) (*.f64 17/315 (pow.f64 x 6))))
(/.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3) (*.f64 17/315 (pow.f64 x 6)))) (sin.f64 x))
(+.f64 (*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x))) (*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))))
(fma.f64 17/315 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 6))) (fma.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x)) (*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))))
(fma.f64 17/315 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 6))) (fma.f64 1/3 (/.f64 (*.f64 x x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 2/15 (*.f64 (cos.f64 x) (pow.f64 x 4))) (sin.f64 x))))
(fma.f64 2/15 (*.f64 (pow.f64 x 4) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 17/315 (pow.f64 x 6)))))
(fma.f64 17/315 (*.f64 (cos.f64 x) (/.f64 (pow.f64 x 6) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3) (*.f64 17/315 (pow.f64 x 6))))
(/.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3) (*.f64 17/315 (pow.f64 x 6)))) (sin.f64 x))
(*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x)))
(*.f64 17/315 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 6))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 17/315 (pow.f64 x 6)))
(*.f64 (*.f64 17/315 (pow.f64 x 6)) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 17/315 (/.f64 (pow.f64 x 6) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x))) (*.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x))))
(fma.f64 17/315 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 6))) (*.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x))))
(fma.f64 17/315 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 6))) (/.f64 (*.f64 2/15 (*.f64 (cos.f64 x) (pow.f64 x 4))) (sin.f64 x)))
(fma.f64 17/315 (*.f64 (pow.f64 x 6) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 (*.f64 (cos.f64 x) 2/15) (sin.f64 x)) (pow.f64 x 4)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 17/315 (pow.f64 x 6) (*.f64 2/15 (pow.f64 x 4))))
(*.f64 (*.f64 (pow.f64 x 4) (fma.f64 17/315 (*.f64 x x) 2/15)) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x))) (*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))))
(fma.f64 17/315 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 6))) (fma.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x)) (*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))))
(fma.f64 17/315 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 6))) (fma.f64 1/3 (/.f64 (*.f64 x x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 2/15 (*.f64 (cos.f64 x) (pow.f64 x 4))) (sin.f64 x))))
(fma.f64 2/15 (*.f64 (pow.f64 x 4) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 17/315 (pow.f64 x 6)))))
(fma.f64 17/315 (*.f64 (cos.f64 x) (/.f64 (pow.f64 x 6) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3) (*.f64 17/315 (pow.f64 x 6))))
(/.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3) (*.f64 17/315 (pow.f64 x 6)))) (sin.f64 x))
(+.f64 (*.f64 17/315 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 6)) (sin.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x))) (*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))))
(fma.f64 17/315 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 6))) (fma.f64 2/15 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 4)) (sin.f64 x)) (*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))))
(fma.f64 17/315 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 6))) (fma.f64 1/3 (/.f64 (*.f64 x x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 2/15 (*.f64 (cos.f64 x) (pow.f64 x 4))) (sin.f64 x))))
(fma.f64 2/15 (*.f64 (pow.f64 x 4) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 17/315 (pow.f64 x 6)))))
(fma.f64 17/315 (*.f64 (cos.f64 x) (/.f64 (pow.f64 x 6) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3) (*.f64 17/315 (pow.f64 x 6))))
(/.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3) (*.f64 17/315 (pow.f64 x 6)))) (sin.f64 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4)))
(fma.f64 1/3 (*.f64 x x) (*.f64 2/15 (pow.f64 x 4)))
(fma.f64 2/15 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 (pow.f64 x 3) 2/15 (*.f64 1/3 x)))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 1/3 (*.f64 x x) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 2/15 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x))))
(fma.f64 1/3 (*.f64 x x) (fma.f64 17/315 (pow.f64 x 6) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3)))
(fma.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3) (*.f64 17/315 (pow.f64 x 6)))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 1/3 (*.f64 x x) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 2/15 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x))))
(fma.f64 1/3 (*.f64 x x) (fma.f64 17/315 (pow.f64 x 6) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3)))
(fma.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3) (*.f64 17/315 (pow.f64 x 6)))
(*.f64 17/315 (pow.f64 x 6))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (*.f64 2/15 (pow.f64 x 4)))
(fma.f64 17/315 (pow.f64 x 6) (*.f64 2/15 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (fma.f64 17/315 (*.f64 x x) 2/15))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 1/3 (*.f64 x x) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 2/15 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x))))
(fma.f64 1/3 (*.f64 x x) (fma.f64 17/315 (pow.f64 x 6) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3)))
(fma.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3) (*.f64 17/315 (pow.f64 x 6)))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 1/3 (*.f64 x x) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 2/15 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x))))
(fma.f64 1/3 (*.f64 x x) (fma.f64 17/315 (pow.f64 x 6) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3)))
(fma.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3) (*.f64 17/315 (pow.f64 x 6)))
(*.f64 17/315 (pow.f64 x 6))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (*.f64 2/15 (pow.f64 x 4)))
(fma.f64 17/315 (pow.f64 x 6) (*.f64 2/15 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (fma.f64 17/315 (*.f64 x x) 2/15))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 1/3 (*.f64 x x) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 2/15 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x))))
(fma.f64 1/3 (*.f64 x x) (fma.f64 17/315 (pow.f64 x 6) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3)))
(fma.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3) (*.f64 17/315 (pow.f64 x 6)))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 1/3 (*.f64 x x) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 2/15 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x))))
(fma.f64 1/3 (*.f64 x x) (fma.f64 17/315 (pow.f64 x 6) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3)))
(fma.f64 (*.f64 x x) (fma.f64 2/15 (*.f64 x x) 1/3) (*.f64 17/315 (pow.f64 x 6)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 17/315 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 17/315))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 17/315 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 17/315))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 17/315 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 17/315))
(*.f64 17/315 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) 17/315)
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 17/315 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 17/315))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 17/315 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 17/315))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 17/315 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 17/315))
(*.f64 17/315 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) 17/315)
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 17/315 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 17/315))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 17/315 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 17/315))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 17/315 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 17/315))

eval204.0ms (1.7%)

Compiler

Compiled 9059 to 6385 computations (29.5% saved)

prune102.0ms (0.8%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New4492451
Fresh213
Picked011
Done459
Total4559464
Error
0.0b
Counts
464 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓39.2b
(/.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x) (tan.f64 x))
✓0.5b
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9) (-.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))
✓59.7b
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
0.1b
(/.f64 x (fma.f64 -1/5 (*.f64 x x) 3))
0.5b
(/.f64 x 3)
✓0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
59.7b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
✓58.7b
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
✓0.5b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
Compiler

Compiled 111 to 79 computations (28.8% saved)

regimes30.0ms (0.2%)

Counts
29 → 1
Calls
Call 1
Inputs
(/.f64 x 3)
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 1/3 x) (/.f64 1 x)))
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9) (-.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))
(*.f64 (pow.f64 1/27 1/3) x)
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(/.f64 x (fma.f64 -1/5 (*.f64 x x) 3))
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(/.f64 x (/.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)))
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 x (*.f64 x 1/135))))))
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) x) (tan.f64 x))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x) (tan.f64 x))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 (/.f64 -1 x) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (cbrt.f64 (*.f64 x 1/3)) (+.f64 (/.f64 -1 x) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3) (+.f64 (/.f64 -1 x) (/.f64 1 x)))
(fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 (/.f64 -1 x) (/.f64 1 x)))
(/.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))) x) (tan.f64 x))
Outputs
(/.f64 x (fma.f64 -1/5 (*.f64 x x) 3))
Results
TimeErrorSegmentsBranch
15.0ms0.1b1x
5.0ms0.1b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 345 to 219 computations (36.5% saved)

regimes9.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(/.f64 x 3)
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 1/3 x) (/.f64 1 x)))
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9) (-.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))
(*.f64 (pow.f64 1/27 1/3) x)
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
Outputs
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9) (-.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))
Results
TimeErrorSegmentsBranch
6.0ms0.5b1x
Compiler

Compiled 76 to 49 computations (35.5% saved)

regimes6.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 x 3)
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 1/3 x) (/.f64 1 x)))
Outputs
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
Results
TimeErrorSegmentsBranch
4.0ms0.5b1x
Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes5.0ms (0%)

Accuracy

Total -58.2b remaining (-11206.1%)

Threshold costs -58.2b (-11206.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 x 3)
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
Outputs
(/.f64 x 3)
Results
TimeErrorSegmentsBranch
4.0ms0.5b1x
Compiler

Compiled 16 to 12 computations (25% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
3×+-commutative_binary64
3×*-commutative_binary64
2×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01962
12962
23162
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (fma.f64 -1/5 (*.f64 x x) 3))
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9) (-.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(/.f64 x 3)
Outputs
(/.f64 x (fma.f64 -1/5 (*.f64 x x) 3))
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9) (-.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) 1/45) (*.f64 (*.f64 x x) 1/45)) -1/9) (+.f64 (*.f64 (*.f64 x x) 1/45) -1/3)))
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) 1/45) 1/3))
(/.f64 x 3)

end34.0ms (0.3%)

Stop Event
1×fuel
Compiler

Compiled 91 to 57 computations (37.4% saved)

Profiling

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