Details

Time bar (total: 5.6s)

analyze721.0ms (13%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
50%50%0%5
50%50%0%6
50%50%0%7
50%50%0%8
50%50%0%9
50%50%0%10
50%50%0%11
50%50%0%12
50%50%0%13
50%49.9%0%14
Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.6s (29.5%)

Results
764.0ms2078×body1024valid
480.0ms4668×body128valid
290.0ms1039×body512valid
89.0ms467×body256valid
2.0ms4×body2048valid
Compiler

Compiled 34 to 18 computations (47.1% saved)

preprocess31.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
627×times-frac_binary64
563×div-sub_binary64
543×fma-def_binary64
333×fma-neg_binary64
263×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11922
23122
34922
49922
516922
627922
758822
8146622
9371722
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
Compiler

Compiled 16 to 8 computations (50% saved)

simplify26.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
627×times-frac_binary64
563×div-sub_binary64
543×fma-def_binary64
333×fma-neg_binary64
263×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0824
11922
23122
34922
49922
516922
627922
758822
8146622
9371722
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.4b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
Compiler

Compiled 92 to 45 computations (51.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(fma.f64 (tan.f64 x) (tan.f64 x) 1)
✓0.2b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
✓0.2b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓0.3b
(*.f64 (tan.f64 x) (tan.f64 x))

series7.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite52.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0844
117644
2241044
Stop Event
1×node limit
Counts
4 → 106
Calls
Call 1
Inputs
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
(fma.f64 (tan.f64 x) (tan.f64 x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (tan.f64 x) 2))) (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (tan.f64 x) 2)))) (-.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (tan.f64 x) 6) 1) (+.f64 (pow.f64 (tan.f64 x) 4) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))

simplify32.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
669×fma-def_binary64
515×associate-*l*_binary64
460×associate-*r*_binary64
342×cancel-sign-sub-inv_binary64
184×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046868
1132864
2345858
31101856
Stop Event
1×node limit
Counts
154 → 139
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
1
(-.f64 1 (pow.f64 x 2))
(-.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)))
(-.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
1
(-.f64 1 (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1) (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1) (+.f64 (*.f64 4/45 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 2/3 (pow.f64 x 4)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (fma.f64 62/315 (pow.f64 x 8) (*.f64 x x))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (fma.f64 x x (*.f64 62/315 (pow.f64 x 8)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
1
(-.f64 1 (pow.f64 x 2))
(-.f64 1 (*.f64 x x))
(-.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)))
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)))
(-.f64 1 (fma.f64 x x (*.f64 2/3 (pow.f64 x 4))))
(-.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(-.f64 1 (fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (*.f64 2/3 (pow.f64 x 4)))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
1
(-.f64 1 (*.f64 2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -2 (*.f64 x x)))
(+.f64 1 (*.f64 (*.f64 x x) -2))
(fma.f64 (*.f64 x x) -2 1)
(fma.f64 x (*.f64 x -2) 1)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1) (*.f64 2 (pow.f64 x 2)))
(+.f64 (fma.f64 2/3 (pow.f64 x 4) 1) (*.f64 -2 (*.f64 x x)))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (*.f64 (*.f64 x x) -2)))
(fma.f64 (*.f64 x x) -2 (fma.f64 2/3 (pow.f64 x 4) 1))
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1) (+.f64 (*.f64 4/45 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))
(-.f64 (fma.f64 2/3 (pow.f64 x 4) 1) (fma.f64 4/45 (pow.f64 x 6) (*.f64 2 (*.f64 x x))))
(-.f64 (fma.f64 2/3 (pow.f64 x 4) 1) (fma.f64 2 (*.f64 x x) (*.f64 (pow.f64 x 6) 4/45)))
(+.f64 (fma.f64 (*.f64 x x) -2 1) (fma.f64 2/3 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -4/45)))
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 6) -4/45 (fma.f64 2/3 (pow.f64 x 4) 1)))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 x x) 1)
(fma.f64 x x 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (*.f64 x x) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x 1))
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (fma.f64 2/3 (pow.f64 x 4) 1) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)) (fma.f64 2/3 (pow.f64 x 4) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) 1)))
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) 1)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)

prune191.0ms (3.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New12811139
Fresh101
Picked101
Done000
Total13011141
Error
0.1b
Counts
141 → 11
Alt Table
StatusErrorProgram
0.5b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) 1)
0.5b
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.6b
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
▶0.4b
(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
18.9b
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))
0.5b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
0.9b
(/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.5b
(/.f64 (/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 6)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.6b
(/.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.8b
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) 3)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.5b
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
Compiler

Compiled 2996 to 1822 computations (39.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
✓0.2b
(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
✓0.2b
(*.f64 (sin.f64 x) (tan.f64 x))
✓0.2b
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)))

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite85.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
594×prod-diff_binary64
207×log1p-udef_binary64
122×add-sqr-sqrt_binary64
120×*-un-lft-identity_binary64
120×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01164
123743
2346343
Stop Event
1×node limit
Counts
4 → 170
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 x))
(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 2)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (+.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 3))) (neg.f64 (+.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 2))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (tan.f64 x) 2))) (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (tan.f64 x) 2)))) (-.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 1 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 1 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 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simplify46.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
852×fma-def_binary64
782×times-frac_binary64
342×cancel-sign-sub-inv_binary64
189×*-commutative_binary64
184×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055835
1151835
2394831
31283829
44610829
Stop Event
1×node limit
Counts
218 → 201
Calls
Call 1
Inputs
1
(-.f64 1 (pow.f64 x 2))
(-.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)))
(-.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 x 2)
(+.f64 (*.f64 1/6 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 31/360 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 31/360 (pow.f64 x 6)) (+.f64 (*.f64 173/5040 (pow.f64 x 8)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
1
(-.f64 1 (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1) (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1) (+.f64 (*.f64 4/45 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
Outputs
1
(-.f64 1 (pow.f64 x 2))
(-.f64 1 (*.f64 x x))
(-.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)))
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)))
(-.f64 1 (fma.f64 x x (*.f64 2/3 (pow.f64 x 4))))
(-.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (*.f64 17/45 (pow.f64 x 6)))))
(fma.f64 (pow.f64 x 4) -2/3 (-.f64 1 (fma.f64 x x (*.f64 17/45 (pow.f64 x 6)))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/6 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 1/6 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/6))
(fma.f64 (pow.f64 x 4) 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 31/360 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 4) (fma.f64 31/360 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 1/6 (fma.f64 (pow.f64 x 6) 31/360 (*.f64 x x)))
(fma.f64 x x (fma.f64 (pow.f64 x 4) 1/6 (*.f64 (pow.f64 x 6) 31/360)))
(+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 31/360 (pow.f64 x 6)) (+.f64 (*.f64 173/5040 (pow.f64 x 8)) (pow.f64 x 2))))
(fma.f64 1/6 (pow.f64 x 4) (fma.f64 31/360 (pow.f64 x 6) (fma.f64 173/5040 (pow.f64 x 8) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) 1/6 (fma.f64 (pow.f64 x 6) 31/360 (fma.f64 x x (*.f64 173/5040 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 (pow.f64 x 4) 1/6 (fma.f64 (pow.f64 x 6) 31/360 (*.f64 173/5040 (pow.f64 x 8)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
1
(-.f64 1 (*.f64 2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -2 (*.f64 x x)))
(+.f64 1 (*.f64 (*.f64 x x) -2))
(fma.f64 (*.f64 x x) -2 1)
(fma.f64 x (*.f64 x -2) 1)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1) (*.f64 2 (pow.f64 x 2)))
(+.f64 (fma.f64 2/3 (pow.f64 x 4) 1) (*.f64 -2 (*.f64 x x)))
(+.f64 (fma.f64 2/3 (pow.f64 x 4) 1) (*.f64 (*.f64 x x) -2))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 1))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1) (+.f64 (*.f64 4/45 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))
(-.f64 (fma.f64 2/3 (pow.f64 x 4) 1) (fma.f64 4/45 (pow.f64 x 6) (*.f64 2 (*.f64 x x))))
(-.f64 (fma.f64 2/3 (pow.f64 x 4) 1) (fma.f64 2 (*.f64 x x) (*.f64 (pow.f64 x 6) 4/45)))
(+.f64 1 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x -2) x (*.f64 (pow.f64 x 6) -4/45))))
(fma.f64 (pow.f64 x 6) -4/45 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 2/3 (pow.f64 x 4)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (*.f64 17/45 (pow.f64 x 6))))
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (fma.f64 62/315 (pow.f64 x 8) (*.f64 x x))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (fma.f64 x x (*.f64 (pow.f64 x 8) 62/315))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 (pow.f64 x 8) 62/315 (*.f64 17/45 (pow.f64 x 6)))))
(fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (fma.f64 2/3 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 62/315))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))

prune382.0ms (6.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1965201
Fresh2810
Picked011
Done000
Total19814212
Error
0.1b
Counts
212 → 14
Alt Table
StatusErrorProgram
0.9b
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))
0.9b
(/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.5b
(/.f64 (/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 6)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.9b
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (pow.f64 (tan.f64 x) 2) (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (pow.f64 (tan.f64 x) 2))))
0.6b
(/.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.5b
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 1 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1)))
0.9b
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 1 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1)))
0.8b
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) 3)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
18.9b
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))
0.5b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
▶0.5b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) 1)
✓0.4b
(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.6b
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 (cos.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) 1) (*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) 1))))
0.5b
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
Compiler

Compiled 8292 to 4618 computations (44.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(-.f64 1 (pow.f64 (tan.f64 x) 2))
✓0.3b
(log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
✓0.3b
(pow.f64 (tan.f64 x) 2)
✓0.4b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) 1)

series85.0ms (1.5%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
41.0ms
x
@-inf
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) 1)
40.0ms
x
@inf
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) 1)
1.0ms
x
@0
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) 1)
0.0ms
x
@inf
(log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
0.0ms
x
@-inf
(log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))

rewrite88.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
527×prod-diff_binary64
198×expm1-udef_binary64
198×log1p-udef_binary64
160×fma-neg_binary64
122×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01257
126557
2323357
Stop Event
1×node limit
Counts
4 → 184
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) 1)
(pow.f64 (tan.f64 x) 2)
(log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))
(-.f64 1 (pow.f64 (tan.f64 x) 2))
Outputs
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simplify43.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
798×fma-def_binary64
532×cancel-sign-sub-inv_binary64
281×fma-neg_binary64
233×times-frac_binary64
143×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0591372
11581348
24381344
315171342
Stop Event
1×node limit
Counts
232 → 218
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1) (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1) (+.f64 (*.f64 4/45 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(log.f64 2)
(-.f64 (log.f64 2) (pow.f64 x 2))
(-.f64 (log.f64 2) (+.f64 (*.f64 1/6 (pow.f64 x 4)) (pow.f64 x 2)))
(-.f64 (log.f64 2) (+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
1
(-.f64 1 (pow.f64 x 2))
(-.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)))
(-.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
Outputs
1
(-.f64 1 (*.f64 2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -2 (*.f64 x x)))
(+.f64 1 (*.f64 (*.f64 x x) -2))
(fma.f64 (*.f64 x x) -2 1)
(fma.f64 x (*.f64 x -2) 1)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1) (*.f64 2 (pow.f64 x 2)))
(+.f64 (fma.f64 2/3 (pow.f64 x 4) 1) (*.f64 -2 (*.f64 x x)))
(+.f64 (fma.f64 2/3 (pow.f64 x 4) 1) (*.f64 (*.f64 x x) -2))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 1))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1) (+.f64 (*.f64 4/45 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))
(-.f64 (fma.f64 2/3 (pow.f64 x 4) 1) (fma.f64 4/45 (pow.f64 x 6) (*.f64 2 (*.f64 x x))))
(-.f64 (fma.f64 2/3 (pow.f64 x 4) 1) (fma.f64 2 (*.f64 x x) (*.f64 4/45 (pow.f64 x 6))))
(+.f64 (fma.f64 2/3 (pow.f64 x 4) 1) (fma.f64 (*.f64 x x) -2 (*.f64 (pow.f64 x 6) -4/45)))
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 6) -4/45 (fma.f64 2/3 (pow.f64 x 4) 1)))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 2/3 (pow.f64 x 4)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45)))
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 17/45)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (fma.f64 62/315 (pow.f64 x 8) (*.f64 x x))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x (*.f64 62/315 (pow.f64 x 8)))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 (pow.f64 x 6) 17/45 (*.f64 62/315 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 17/45 (*.f64 62/315 (pow.f64 x 8)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(log.f64 2)
(-.f64 (log.f64 2) (pow.f64 x 2))
(-.f64 (log.f64 2) (*.f64 x x))
(-.f64 (log.f64 2) (+.f64 (*.f64 1/6 (pow.f64 x 4)) (pow.f64 x 2)))
(-.f64 (log.f64 2) (fma.f64 1/6 (pow.f64 x 4) (*.f64 x x)))
(-.f64 (log.f64 2) (fma.f64 x x (*.f64 (pow.f64 x 4) 1/6)))
(-.f64 (log.f64 2) (+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(-.f64 (log.f64 2) (fma.f64 1/6 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(-.f64 (log.f64 2) (fma.f64 (pow.f64 x 4) 1/6 (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45))))
(-.f64 (log.f64 2) (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/6 (*.f64 (pow.f64 x 6) 2/45))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(log1p.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(log1p.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(log1p.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(log1p.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(log1p.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(log1p.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(log1p.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))
(log.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(log1p.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
1
(-.f64 1 (pow.f64 x 2))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(-.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)))
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)))
(-.f64 1 (fma.f64 x x (*.f64 2/3 (pow.f64 x 4))))
(fma.f64 (pow.f64 x 4) -2/3 (neg.f64 (fma.f64 x x -1)))
(-.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45))))
(-.f64 1 (fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 17/45))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))

prune595.0ms (10.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New2117218
Fresh6612
Picked011
Done011
Total21715232
Error
0.1b
Counts
232 → 15
Alt Table
StatusErrorProgram
0.9b
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))
0.9b
(/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
▶0.5b
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) -1)
0.9b
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 1 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1)))
0.6b
(/.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2))
0.6b
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
0.6b
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) -1) (+.f64 1 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))
0.8b
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1))))
0.5b
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
✓0.5b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) 1)
0.6b
(+.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (/.f64 (tan.f64 x) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
0.6b
(/.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
✓0.4b
(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
1.1b
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) -1)
18.9b
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))
Compiler

Compiled 8439 to 6047 computations (28.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 1 (pow.f64 (tan.f64 x) 2))
0.3b
(pow.f64 (tan.f64 x) 2)
✓0.4b
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) -1)
✓0.4b
(+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite63.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
820×prod-diff_binary64
139×add-sqr-sqrt_binary64
135×pow1_binary64
134×*-un-lft-identity_binary64
130×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01249
127646
2381846
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) -1)
Outputs
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simplify45.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
482×unswap-sqr_binary64
378×fma-def_binary64
322×associate-*l*_binary64
285×associate-*r*_binary64
248×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0351008
1961008
22541000
3863996
44147820
Stop Event
1×node limit
Counts
94 → 88
Calls
Call 1
Inputs
2
(-.f64 2 (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 2) (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 2) (+.f64 (*.f64 4/45 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
1
(-.f64 1 (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1) (*.f64 2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1) (+.f64 (*.f64 4/45 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
Outputs
2
(-.f64 2 (*.f64 2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -2 (*.f64 x x)))
(-.f64 2 (*.f64 2 (*.f64 x x)))
(fma.f64 (*.f64 x x) -2 2)
(fma.f64 x (*.f64 x -2) 2)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 2) (*.f64 2 (pow.f64 x 2)))
(+.f64 (fma.f64 2/3 (pow.f64 x 4) 2) (*.f64 -2 (*.f64 x x)))
(+.f64 (fma.f64 2/3 (pow.f64 x 4) 2) (*.f64 (*.f64 x x) -2))
(fma.f64 (*.f64 x x) -2 (fma.f64 2/3 (pow.f64 x 4) 2))
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 2))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) 2) (+.f64 (*.f64 4/45 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))
(-.f64 (fma.f64 2/3 (pow.f64 x 4) 2) (fma.f64 4/45 (pow.f64 x 6) (*.f64 2 (*.f64 x x))))
(-.f64 (fma.f64 2/3 (pow.f64 x 4) 2) (fma.f64 2 (*.f64 x x) (*.f64 4/45 (pow.f64 x 6))))
(+.f64 (*.f64 (pow.f64 x 6) -4/45) (fma.f64 (*.f64 x x) -2 (fma.f64 2/3 (pow.f64 x 4) 2)))
(fma.f64 (pow.f64 x 6) -4/45 (fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 2)))
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 6) -4/45 (fma.f64 2/3 (pow.f64 x 4) 2)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))

prune485.0ms (8.7%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1980198
Fresh01212
Picked011
Done022
Total19815213
Error
0.1b
Counts
213 → 15
Alt Table
StatusErrorProgram
0.9b
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))
0.9b
(/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
✓0.5b
(+.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) -1)
0.9b
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 1 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1)))
0.6b
(/.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2))
0.6b
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
0.6b
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) -1) (+.f64 1 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))
0.8b
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1))))
0.5b
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))
✓0.5b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) 1)
0.6b
(+.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (/.f64 (tan.f64 x) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
0.6b
(/.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
✓0.4b
(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
1.1b
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) -1)
18.9b
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))
Compiler

Compiled 5617 to 4224 computations (24.8% saved)

regimes551.0ms (9.9%)

Accuracy

Total 0.3b remaining (83.5%)

Threshold costs 0.3b (83.5%)

Counts
186 → 1
Compiler

Compiled 4416 to 2798 computations (36.6% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×sub-neg_binary64
1×*-commutative_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11420
21820
32020
42120
Stop Event
1×saturated
Calls
Call 1
Inputs
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1)
Outputs
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1)
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))

end337.0ms (6.1%)

Stop Event
1×fuel
Compiler

Compiled 613 to 412 computations (32.8% saved)

Profiling

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