Details

Time bar (total: 6.3s)

analyze194.0ms (3.1%)

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
Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.5s (23.2%)

Results
624.0ms2050×body1024valid
585.0ms5122×body256valid
229.0ms1078×body512valid
3.0ms6×body2048valid

preprocess53.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
627×times-frac_binary64
563×div-sub_binary64
543×fma-def_binary64
487×sub-neg_binary64
333×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11922
23122
34922
49922
516922
627922
758822
8146622
9371722
10675822
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))
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify42.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
627×times-frac_binary64
563×div-sub_binary64
543×fma-def_binary64
487×sub-neg_binary64
333×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0824
11922
23122
34922
49922
516922
627922
758822
8146622
9371722
10675822
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))
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))

eval1.0ms (0%)

Compiler

Compiled 30 to 13 computations (56.7% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Compiler

Compiled 31 to 16 computations (48.4% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
0.2b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.1b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.0b
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓0.0b
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓0.1b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
✓0.2b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 39 to 13 computations (66.7% saved)

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

rewrite103.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
640×unpow-prod-down_binary64
434×log-prod_binary64
381×prod-diff_binary64
240×pow-prod-down_binary64
234×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0844
118044
2254444
Stop Event
1×node limit
Counts
4 → 290
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))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (#(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 (pow.f64 (tan.f64 x) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 x)) 6)))) (#(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 (sqrt.f64 (tan.f64 x)) 4)))) (#(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 expm1.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) -1)))) (#(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 0 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(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 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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2) 1/2)))) (#(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 pow.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 6))) -1)))) (#(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) 4))) -1)))) (#(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) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (pow.f64 (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.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) 4)) (pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.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 (pow.f64 1 1/3) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 6))) 1) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 5/2) 1/3) (cbrt.f64 (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 2) 3) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.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 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 (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) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (neg.f64 (-.f64 (+.f64 1 (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) 4) 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) 4)) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (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 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (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 pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) 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 (hypot.f64 1 (tan.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))) (#(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 (hypot.f64 1 (tan.f64 x)) 6))))) (#(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 fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (tan.f64 x) 2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (pow.f64 (cbrt.f64 (tan.f64 x)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (cbrt.f64 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (tan.f64 x) 3/2) (sqrt.f64 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 5) (cbrt.f64 (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 hypot.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)) (hypot.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))

simplify54.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
807×fma-def_binary64
648×distribute-rgt-out_binary64
563×associate-*l*_binary64
464×cancel-sign-sub-inv_binary64
460×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054871
1141860
2348856
31057856
44474856
Stop Event
1×node limit
Counts
338 → 322
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 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (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 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.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)))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(/.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 2/3 (pow.f64 x 4) (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (*.f64 62/315 (pow.f64 x 8)))))
(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))))
(/.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 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (neg.f64 (*.f64 x x))))
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (*.f64 x x))
(-.f64 (*.f64 (pow.f64 x 4) -2/3) (fma.f64 x x -1))
(-.f64 1 (fma.f64 x x (*.f64 2/3 (pow.f64 x 4))))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 6) -17/45))))
(+.f64 (-.f64 (*.f64 (pow.f64 x 6) -17/45) (*.f64 x x)) (fma.f64 (pow.f64 x 4) -2/3 1))
(fma.f64 (pow.f64 x 4) -2/3 (fma.f64 (pow.f64 x 6) -17/45 (-.f64 1 (*.f64 x x))))
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 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)))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -2 1)
(fma.f64 x (*.f64 x -2) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 1))
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) -4/45)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) -4/45 (fma.f64 x (*.f64 x -2) 1)))
(fma.f64 (pow.f64 x 6) -4/45 (fma.f64 x (*.f64 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) (fma.f64 (pow.f64 x 6) -4/45 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))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)) 1))
(+.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)))
(fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (fma.f64 2/3 (pow.f64 x 4) 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)

localize16.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(fma.f64 (tan.f64 x) (tan.f64 x) -1)
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
0.1b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.0b
(-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓0.0b
(-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓0.1b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
✓0.3b
(fma.f64 (tan.f64 x) (tan.f64 x) -1)
Compiler

Compiled 37 to 13 computations (64.9% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite61.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
944×pow1_binary64
877×add-log-exp_binary64
877×log1p-expm1-u_binary64
877×expm1-log1p-u_binary64
859×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0838
117738
2241238
Stop Event
1×node limit
Counts
3 → 84
Calls
Call 1
Inputs
(fma.f64 (tan.f64 x) (tan.f64 x) -1)
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)) 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 1 (fma.f64 (tan.f64 x) (tan.f64 x) -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 (tan.f64 x) 1) (-.f64 (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) (neg.f64 (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 (neg.f64 (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 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 (log.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 *.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (/.f64 1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 *.f64 1 (/.f64 (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 (cbrt.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) 2) (cbrt.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 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2))) 2)) (/.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (sqrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 2) (sqrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) (sqrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (fma.f64 (tan.f64 x) (tan.f64 x) -1))))) (#(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 pow.f64 (pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) 2)))) (#(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 neg.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (neg.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) 3) (pow.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (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 -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 (-.f64 -1 (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 (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) 4) (neg.f64 (pow.f64 (tan.f64 x) 2))))))))) (#(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) 4) (neg.f64 (pow.f64 (tan.f64 x) 2)))) (-.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) 4) (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(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) 4) (neg.f64 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (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))) (*.f64 -1 (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 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 (log.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2))))))))

simplify45.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
691×cancel-sign-sub-inv_binary64
580×fma-def_binary64
397×associate-*l*_binary64
388×distribute-rgt-out_binary64
380×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050732
1135724
2325694
31000686
43902686
Stop Event
1×node limit
Counts
120 → 110
Calls
Call 1
Inputs
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))) 1)
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
Outputs
-1
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) 1)
(+.f64 (fma.f64 2/3 (pow.f64 x 4) (*.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 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) 1)
(+.f64 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))) -1)
(+.f64 -1 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (*.f64 17/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (fma.f64 x x -1)))
(fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (fma.f64 2/3 (pow.f64 x 4) -1)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)
(+.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 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -2 1)
(fma.f64 x (*.f64 x -2) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 1))
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1))
(fma.f64 (*.f64 x x) -2 (fma.f64 2/3 (pow.f64 x 4) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (+.f64 1 (*.f64 (pow.f64 x 6) -4/45))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) -4/45 (fma.f64 x (*.f64 x -2) 1)))
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 6) -4/45 (fma.f64 2/3 (pow.f64 x 4) 1)))
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) -4/45 1)))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.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 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.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 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.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 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.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 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.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 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.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 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.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 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.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 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.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 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.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 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.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 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.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 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.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 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.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 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.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 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.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))))
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(fma.f64 -1 (*.f64 x x) -1)
(-.f64 -1 (*.f64 x x))
(neg.f64 (fma.f64 x x 1))
(-.f64 (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -2/3 (pow.f64 x 4) (neg.f64 (*.f64 x x))) -1)
(fma.f64 (pow.f64 x 4) -2/3 (fma.f64 -1 (*.f64 x x) -1))
(-.f64 (*.f64 (pow.f64 x 4) -2/3) (fma.f64 x x 1))
(-.f64 -1 (fma.f64 x x (*.f64 2/3 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 -2/3 (pow.f64 x 4) (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 6) -17/45))) -1)
(+.f64 -1 (fma.f64 (pow.f64 x 4) -2/3 (-.f64 (*.f64 (pow.f64 x 6) -17/45) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) -2/3 (fma.f64 x (neg.f64 x) (fma.f64 (pow.f64 x 6) -17/45 -1)))
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 (fma.f64 (pow.f64 x 6) -17/45 -1)) (*.f64 x x))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.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 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.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 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.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 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.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 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.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 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.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 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.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 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.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)))

eval261.0ms (4.2%)

Compiler

Compiled 13899 to 8528 computations (38.6% saved)

prune103.0ms (1.6%)

Pruning

38 alts after pruning (38 fresh and 0 done)

PrunedKeptTotal
New47638514
Fresh000
Picked101
Done101
Total47838516
Error
0.0b
Counts
516 → 38
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(log.f64 (exp.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))
15.9b
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶30.2b
(fma.f64 x (*.f64 x -2) 1)
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))))
▶0.5b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
0.7b
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 3) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
27.5b
1
30.2b
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
1.4b
(/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)
29.5b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x)))
▶0.3b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
0.4b
(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
32.5b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)))
▶16.0b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 2)
0.5b
(*.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
0.8b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (pow.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 3))
0.4b
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) -1)) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
29.5b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (*.f64 x x)))
0.7b
(fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))
0.5b
(*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))
0.8b
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) 1) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) 1))))
0.4b
(*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (fma.f64 (tan.f64 x) (tan.f64 x) -1))
0.7b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)))
0.7b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.7b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)))
0.4b
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (/.f64 1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))))
0.4b
(/.f64 (*.f64 (+.f64 (tan.f64 x) 1) (-.f64 (tan.f64 x) 1)) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(-.f64 (+.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) 1)
0.7b
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
27.2b
(/.f64 -1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶0.5b
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))
0.5b
(/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Compiler

Compiled 1392 to 940 computations (32.5% saved)

localize17.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(fma.f64 (tan.f64 x) (tan.f64 x) -1)
0.2b
(pow.f64 (tan.f64 x) 2)
0.1b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
0.0b
(-.f64 -1 (pow.f64 (tan.f64 x) 2))
✓0.0b
(-.f64 -1 (pow.f64 (tan.f64 x) 2))
✓0.1b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
✓0.2b
(pow.f64 (tan.f64 x) 2)
0.3b
(fma.f64 (tan.f64 x) (tan.f64 x) -1)
Compiler

Compiled 35 to 19 computations (45.7% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite59.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
990×pow1_binary64
920×add-log-exp_binary64
919×log1p-expm1-u_binary64
919×expm1-log1p-u_binary64
99×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
119935
2250435
Stop Event
1×node limit
Counts
3 → 83
Calls
Call 1
Inputs
(pow.f64 (tan.f64 x) 2)
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
(-.f64 -1 (pow.f64 (tan.f64 x) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (tan.f64 x))))) (#(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 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))))) (#(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 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 (log.f64 (pow.f64 (tan.f64 x) 2)))))) (#(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 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (/.f64 1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1)) (/.f64 1 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1)) (/.f64 1 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1) (/.f64 1 (neg.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) (+.f64 (pow.f64 (tan.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1)) (-.f64 -1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1)) (-.f64 -1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 2)) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1)) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1)) (pow.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1)) (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (sqrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1)) 2) (sqrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1)) (sqrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (neg.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) 3) (pow.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (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 (-.f64 -1 (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 (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) 4) (neg.f64 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (neg.f64 (pow.f64 (tan.f64 x) 2)))) (-.f64 -1 (pow.f64 (tan.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -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) 4) (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (+.f64 (pow.f64 (tan.f64 x) 2) -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) 4) (neg.f64 (pow.f64 (tan.f64 x) 2))))))))) (#(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))) (*.f64 -1 (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 (log.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2))))))))

simplify48.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
800×fma-neg_binary64
727×fma-def_binary64
647×distribute-rgt-out_binary64
594×cancel-sign-sub-inv_binary64
578×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053723
1143719
2342691
31078683
44606683
Stop Event
1×node limit
Counts
119 → 110
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 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (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 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))) 1)
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 -1 (+.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 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (*.f64 62/315 (pow.f64 x 8)))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 62/315 2/3) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 17/45 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 62/315 2/3) (*.f64 x x)))
(/.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 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -2 1)
(fma.f64 x (*.f64 x -2) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 1))
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1))
(fma.f64 (*.f64 x x) -2 (fma.f64 2/3 (pow.f64 x 4) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) -4/45)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1)))
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) -4/45 1)))
(fma.f64 (*.f64 x x) -2 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) -4/45 1)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) -4/45 (fma.f64 (*.f64 x x) -2 1)))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1 1) (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1 1) (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1 1) (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1 1) (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1 1) (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1 1) (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1 1) (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1 1) (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(fma.f64 -1 (*.f64 x x) -1)
(fma.f64 (*.f64 x x) -1 -1)
(-.f64 -1 (*.f64 x x))
(neg.f64 (fma.f64 x x 1))
(-.f64 (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -2/3 (pow.f64 x 4) (neg.f64 (*.f64 x x))) -1)
(fma.f64 (pow.f64 x 4) -2/3 (fma.f64 (*.f64 x x) -1 -1))
(-.f64 (*.f64 (pow.f64 x 4) -2/3) (fma.f64 x x 1))
(-.f64 -1 (fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 -2/3 (pow.f64 x 4) (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 6) -17/45))) -1)
(fma.f64 (pow.f64 x 4) -2/3 (+.f64 (fma.f64 (pow.f64 x 6) -17/45 (*.f64 x (neg.f64 x))) -1))
(fma.f64 (pow.f64 x 4) -2/3 (fma.f64 x (neg.f64 x) (fma.f64 (pow.f64 x 6) -17/45 -1)))
(-.f64 (fma.f64 (pow.f64 x 6) -17/45 -1) (fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)))
(-.f64 -1 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 -1 (neg.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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 -1 (neg.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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 -1 (neg.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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 -1 (neg.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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 -1 (neg.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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 -1 (neg.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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 -1 (neg.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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 -1 (neg.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)))

localize6.0ms (0.1%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize17.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (hypot.f64 1 (tan.f64 x)) 2)
0.2b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.1b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
0.1b
(hypot.f64 1 (tan.f64 x))
✓0.1b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
0.2b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓0.2b
(pow.f64 (hypot.f64 1 (tan.f64 x)) 2)
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 42 to 20 computations (52.4% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite72.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
463×log-prod_binary64
358×exp-prod_binary64
288×prod-diff_binary64
258×pow2_binary64
255×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
121929
2273629
Stop Event
1×node limit
Counts
2 → 124
Calls
Call 1
Inputs
(pow.f64 (hypot.f64 1 (tan.f64 x)) 2)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
Outputs
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(tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 2)) (cbrt.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 pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))) (sqrt.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 neg.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(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 exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1) (log1p.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))) (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1) (*.f64 (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)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))))))

simplify56.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
596×associate-/l*_binary64
435×associate-/r*_binary64
360×fma-def_binary64
346×*-commutative_binary64
332×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035515
189509
2204507
3581507
42347507
57343507
Stop Event
1×node limit
Counts
148 → 141
Calls
Call 1
Inputs
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)))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(/.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))))
Outputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(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 1 (*.f64 x x)))
(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))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(+.f64 (fma.f64 x x (*.f64 17/45 (pow.f64 x 6))) (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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -2 1)
(fma.f64 x (*.f64 x -2) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 1))
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) -4/45)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1)))
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) -4/45 1)))
(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))) (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))

localize23.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 2)
0.1b
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))
0.1b
(hypot.f64 1 (tan.f64 x))
0.0b
(sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
✓0.1b
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))
✓0.1b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 2)
✓0.2b
(-.f64 1 (pow.f64 (tan.f64 x) 2))
0.2b
(pow.f64 (tan.f64 x) 2)
Compiler

Compiled 53 to 35 computations (34% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 2)
2.0ms
x
@inf
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 2)
2.0ms
x
@-inf
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 2)
0.0ms
x
@inf
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))
0.0ms
x
@0
(-.f64 1 (pow.f64 (tan.f64 x) 2))

rewrite68.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
480×log-prod_binary64
361×exp-prod_binary64
278×pow-prod-down_binary64
273×pow2_binary64
188×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
123948
2281148
Stop Event
1×node limit
Counts
3 → 154
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 (tan.f64 x) 2))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 2)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1)))) (#(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 exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) 3))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (*.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))))))))

simplify48.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
763×cancel-sign-sub-inv_binary64
663×fma-neg_binary64
648×fma-def_binary64
436×distribute-rgt-neg-in_binary64
425×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049877
1118866
2288862
3987860
43939860
Stop Event
1×node limit
Counts
190 → 176
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.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)))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(/.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 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 -19/90 (pow.f64 x 6)))))
(sqrt.f64 (/.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)))))
(sqrt.f64 (/.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)))))
(sqrt.f64 (/.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)))))
(sqrt.f64 (/.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)))))
(sqrt.f64 (/.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)))))
(sqrt.f64 (/.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)))))
(sqrt.f64 (/.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)))))
(sqrt.f64 (/.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)))))
Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (neg.f64 (*.f64 x x))))
(-.f64 (fma.f64 -2/3 (pow.f64 x 4) 1) (*.f64 x x))
(-.f64 (*.f64 -2/3 (pow.f64 x 4)) (fma.f64 x x -1))
(-.f64 1 (fma.f64 x x (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 -17/45 (pow.f64 x 6)))))
(+.f64 (fma.f64 -17/45 (pow.f64 x 6) (neg.f64 (*.f64 x x))) (fma.f64 -2/3 (pow.f64 x 4) 1))
(fma.f64 -2/3 (pow.f64 x 4) (-.f64 (fma.f64 -17/45 (pow.f64 x 6) 1) (*.f64 x x)))
(-.f64 (fma.f64 -17/45 (pow.f64 x 6) (*.f64 -2/3 (pow.f64 x 4))) (fma.f64 x x -1))
(-.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 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -2 1)
(fma.f64 x (*.f64 x -2) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 1))
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) -4/45)))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1)))
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) -4/45 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))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/6)))
(+.f64 1 (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 x x)))
(-.f64 (fma.f64 (pow.f64 x 4) -1/6 1) (*.f64 x x))
(-.f64 (*.f64 (pow.f64 x 4) -1/6) (fma.f64 x x -1))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 -19/90 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -19/90))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) -19/90 (*.f64 (pow.f64 x 4) -1/6)) (*.f64 x x)))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) -1/6 (*.f64 (pow.f64 x 6) -19/90)) (*.f64 x x)))
(-.f64 (fma.f64 (pow.f64 x 4) -1/6 (*.f64 (pow.f64 x 6) -19/90)) (fma.f64 x x -1))
(sqrt.f64 (/.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)))))
(sqrt.f64 (/.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)))
(sqrt.f64 (/.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)))))
(sqrt.f64 (/.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)))
(sqrt.f64 (/.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)))))
(sqrt.f64 (/.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)))
(sqrt.f64 (/.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)))))
(sqrt.f64 (/.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)))
(sqrt.f64 (/.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)))))
(sqrt.f64 (/.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)))
(sqrt.f64 (/.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)))))
(sqrt.f64 (/.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)))
(sqrt.f64 (/.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)))))
(sqrt.f64 (/.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)))
(sqrt.f64 (/.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)))))
(sqrt.f64 (/.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)))

localize28.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (tan.f64 x) 2)
0.2b
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))
0.2b
(-.f64 1 (pow.f64 (tan.f64 x) 2))
0.1b
(hypot.f64 1 (tan.f64 x))
0.2b
(pow.f64 (tan.f64 x) 2)
✓0.3b
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))
✓0.3b
(pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)
✓0.6b
(pow.f64 (hypot.f64 1 (tan.f64 x)) 6)
Compiler

Compiled 67 to 47 computations (29.9% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow.f64 (hypot.f64 1 (tan.f64 x)) 6)
1.0ms
x
@-inf
(pow.f64 (hypot.f64 1 (tan.f64 x)) 6)
1.0ms
x
@-inf
(pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)
1.0ms
x
@inf
(pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)
1.0ms
x
@0
(pow.f64 (hypot.f64 1 (tan.f64 x)) 6)

rewrite64.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
571×log-prod_binary64
333×pow-prod-down_binary64
331×pow2_binary64
228×expm1-udef_binary64
227×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01443
130941
2347441
Stop Event
1×node limit
Counts
3 → 96
Calls
Call 1
Inputs
(pow.f64 (hypot.f64 1 (tan.f64 x)) 6)
(pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 12) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 18))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log1p.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2) 1) (*.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2) (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 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simplify50.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
699×fma-def_binary64
540×distribute-rgt-out_binary64
532×associate-*l*_binary64
447×unswap-sqr_binary64
438×distribute-lft-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050752
1128746
2323740
31103740
44782740
Stop Event
1×node limit
Counts
132 → 120
Calls
Call 1
Inputs
1
(+.f64 (*.f64 3 (pow.f64 x 2)) 1)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 5 (pow.f64 x 4))))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5 (pow.f64 x 4)) (*.f64 92/15 (pow.f64 x 6)))))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
1
(+.f64 1 (*.f64 -3 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -3 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 (*.f64 28/15 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -3 (pow.f64 x 2)) (pow.f64 x 4))))
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(/.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))))
Outputs
1
(+.f64 (*.f64 3 (pow.f64 x 2)) 1)
(fma.f64 3 (*.f64 x x) 1)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 5 (pow.f64 x 4))))
(+.f64 (fma.f64 3 (*.f64 x x) 1) (*.f64 5 (pow.f64 x 4)))
(fma.f64 3 (*.f64 x x) (fma.f64 5 (pow.f64 x 4) 1))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5 (pow.f64 x 4)) (*.f64 92/15 (pow.f64 x 6)))))
(+.f64 (fma.f64 3 (*.f64 x x) 1) (fma.f64 5 (pow.f64 x 4) (*.f64 92/15 (pow.f64 x 6))))
(+.f64 (fma.f64 92/15 (pow.f64 x 6) (*.f64 5 (pow.f64 x 4))) (fma.f64 3 (*.f64 x x) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 5 (pow.f64 x 4) (fma.f64 92/15 (pow.f64 x 6) 1)))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3)
1
(+.f64 1 (*.f64 -3 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -3))
(fma.f64 (*.f64 x x) -3 1)
(fma.f64 x (*.f64 x -3) 1)
(+.f64 1 (+.f64 (*.f64 -3 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 1 (fma.f64 -3 (*.f64 x x) (pow.f64 x 4)))
(+.f64 1 (fma.f64 (*.f64 x x) -3 (pow.f64 x 4)))
(fma.f64 (*.f64 x x) (fma.f64 x x -3) 1)
(fma.f64 x (*.f64 x (fma.f64 x x -3)) 1)
(+.f64 (*.f64 28/15 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -3 (pow.f64 x 2)) (pow.f64 x 4))))
(fma.f64 28/15 (pow.f64 x 6) (+.f64 1 (fma.f64 -3 (*.f64 x x) (pow.f64 x 4))))
(+.f64 (fma.f64 (*.f64 x x) -3 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) 28/15 1))
(fma.f64 (*.f64 x x) (fma.f64 x x -3) (fma.f64 (pow.f64 x 6) 28/15 1))
(fma.f64 x (*.f64 x (fma.f64 x x -3)) (fma.f64 (pow.f64 x 6) 28/15 1))
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -2 1)
(fma.f64 x (*.f64 x -2) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 1))
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) -4/45)))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1)))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) -4/45 (fma.f64 x (*.f64 x -2) 1)))
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) -4/45 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))

eval352.0ms (5.6%)

Compiler

Compiled 16588 to 11593 computations (30.1% saved)

prune135.0ms (2.2%)

Pruning

40 alts after pruning (36 fresh and 4 done)

PrunedKeptTotal
New72723750
Fresh201333
Picked011
Done134
Total74840788
Error
0.0b
Counts
788 → 40
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))
0.4b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))
✓0.5b
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))
0.4b
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) (+.f64 (pow.f64 (tan.f64 x) 2) -1))
0.5b
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
24.8b
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1))
0.6b
(/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (tan.f64 x)) 1) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
16.1b
(pow.f64 (/.f64 (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (hypot.f64 1 (tan.f64 x))) 2)
15.9b
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
✓30.2b
(fma.f64 x (*.f64 x -2) 1)
▶0.7b
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 3) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
0.8b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (pow.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 3))
27.5b
1
0.3b
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
24.8b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) -1)
1.4b
(/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶0.4b
(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
16.1b
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 3)) 2)
0.4b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2))))) 1)
16.1b
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1)) (hypot.f64 1 (tan.f64 x))) 2)
0.5b
(*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))
0.4b
(*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (fma.f64 (tan.f64 x) (tan.f64 x) -1))
24.8b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
16.1b
(pow.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))))) 2)
0.7b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)))
0.5b
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
▶27.2b
(/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
▶0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.7b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)))
0.4b
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (/.f64 1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))))
0.4b
(/.f64 (*.f64 (+.f64 (tan.f64 x) 1) (-.f64 (tan.f64 x) 1)) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
0.4b
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.7b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))
0.4b
(-.f64 (+.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) 1)
0.7b
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
▶0.5b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
✓0.3b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
✓16.0b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 2)
Compiler

Compiled 1219 to 900 computations (26.2% saved)

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
0.2b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.1b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.1b
(fma.f64 (tan.f64 x) (tan.f64 x) 1)
✓0.1b
(fma.f64 (tan.f64 x) (tan.f64 x) 1)
✓0.1b
(/.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)))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 37 to 13 computations (64.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite54.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
936×pow1_binary64
872×add-log-exp_binary64
872×log1p-expm1-u_binary64
872×expm1-log1p-u_binary64
853×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
117629
2241129
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(/.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 (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.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))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(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 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.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))) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(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))) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (+.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) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.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 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (cbrt.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 pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.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)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (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))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (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) 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 (+.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 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 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))))

simplify53.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
596×associate-/l*_binary64
434×associate-/r*_binary64
360×fma-def_binary64
358×*-commutative_binary64
332×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035515
189509
2204507
3580507
42353507
57374507
Stop Event
1×node limit
Counts
79 → 72
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(/.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
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 -4/45 (pow.f64 x 6))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 1)))
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 -4/45 (pow.f64 x 6) 1))
(fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) (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))) (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))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(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 1 (*.f64 x x)))
(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))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(+.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45)) (fma.f64 2/3 (pow.f64 x 4) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 (pow.f64 x 6) 17/45 1)))
(fma.f64 x x (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 2/3 (pow.f64 x 4) 1)))
(+.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 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 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 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 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 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 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 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)

localize12.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (tan.f64 x) 2)
0.2b
(/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
0.0b
(-.f64 -1 (pow.f64 (tan.f64 x) 2))
0.0b
(-.f64 -1 (pow.f64 (tan.f64 x) 2))
✓0.2b
(/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
0.2b
(pow.f64 (tan.f64 x) 2)
Compiler

Compiled 24 to 16 computations (33.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite46.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
846×pow1_binary64
785×add-log-exp_binary64
784×log1p-expm1-u_binary64
784×expm1-log1p-u_binary64
770×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
117812
2214712
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) 2) (/.f64 -1 (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (+.f64 -1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 (pow.f64 (tan.f64 x) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))))))

simplify40.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
700×distribute-rgt-neg-in_binary64
631×distribute-lft-neg-in_binary64
555×times-frac_binary64
375×fma-neg_binary64
350×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028211
164207
2142205
3436203
41698203
56487203
Stop Event
1×node limit
Counts
35 → 32
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 x 4)) (*.f64 x x)))
(fma.f64 1/3 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))
(-.f64 (*.f64 1/3 (pow.f64 x 4)) (fma.f64 x x -1))
(-.f64 1 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (fma.f64 -2/45 (pow.f64 x 6) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 x 4) (*.f64 -2/45 (pow.f64 x 6))) (*.f64 x x)))
(+.f64 (-.f64 1 (*.f64 x x)) (fma.f64 -2/45 (pow.f64 x 6) (*.f64 1/3 (pow.f64 x 4))))
(-.f64 (fma.f64 1/3 (pow.f64 x 4) (*.f64 -2/45 (pow.f64 x 6))) (fma.f64 x x -1))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))

localize20.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (hypot.f64 1 (tan.f64 x)) 2)
0.2b
(-.f64 1 (pow.f64 (tan.f64 x) 2))
0.1b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
0.1b
(hypot.f64 1 (tan.f64 x))
✓0.1b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
0.2b
(-.f64 1 (pow.f64 (tan.f64 x) 2))
0.2b
(pow.f64 (hypot.f64 1 (tan.f64 x)) 2)
0.2b
(pow.f64 (tan.f64 x) 2)
Compiler

Compiled 39 to 25 computations (35.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite66.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
453×log-prod_binary64
351×exp-prod_binary64
290×prod-diff_binary64
254×pow2_binary64
253×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
122120
2267320
Stop Event
1×node limit
Counts
1 → 87
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))) (sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))) (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 1 (*.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 1 (*.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 1 (*.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (neg.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (pow.f64 (tan.f64 x) 2) (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (neg.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (pow.f64 (tan.f64 x) 2) (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (neg.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (pow.f64 (tan.f64 x) 2) (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 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(hypot.f64 1 (tan.f64 x)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 4)) (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 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(pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 4)) (/.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) 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 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (hypot.f64 1 (tan.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))))))) (#(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 (hypot.f64 1 (tan.f64 x))) 4)) (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 4)) (/.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 pow.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.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 pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 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 pow.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 2)) (cbrt.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 pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))) (sqrt.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 neg.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(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 exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1) (log1p.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))) (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1) (*.f64 (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)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))))))

simplify48.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
771×fma-def_binary64
603×distribute-neg-frac_binary64
601×associate-/l*_binary64
439×associate-/r*_binary64
332×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028336
168334
2147334
3441334
41767334
57067334
Stop Event
1×node limit
Counts
99 → 95
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(/.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))))
Outputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 1))
(fma.f64 x (fma.f64 -2 x (*.f64 2/3 (pow.f64 x 3))) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 -4/45 (pow.f64 x 6))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 1)))
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 -4/45 (pow.f64 x 6) 1))
(fma.f64 -4/45 (pow.f64 x 6) (fma.f64 x (fma.f64 -2 x (*.f64 2/3 (pow.f64 x 3))) 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 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))))

localize21.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 x) (tan.f64 x))
0.2b
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)))
0.1b
(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.0b
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓0.2b
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)))
✓0.2b
(*.f64 (sin.f64 x) (tan.f64 x))
✓0.2b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 62 to 17 computations (72.6% saved)

series8.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
1.0ms
x
@-inf
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
1.0ms
x
@0
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
0.0ms
x
@inf
(*.f64 (sin.f64 x) (tan.f64 x))
0.0ms
x
@inf
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)))

rewrite67.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
496×prod-diff_binary64
491×log-prod_binary64
378×exp-prod_binary64
285×pow-prod-down_binary64
247×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0937
118923
2261123
Stop Event
1×node limit
Counts
3 → 142
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (tan.f64 x))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)) -1)))) (#(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 (*.f64 2 (log.f64 (tan.f64 x))) 1))))) (#(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 (cbrt.f64 (tan.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 x)) (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 x)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 x)) (sin.f64 x)))))))) (#(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 (E.f64) (log.f64 (*.f64 (sin.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) 2) 1/2)))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 x))))) (sqrt.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 x)))))))) (#(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 (pow.f64 (exp.f64 (tan.f64 x)) (sin.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 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 x) (tan.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 x))) 1) 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 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 0 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(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 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(E.f64) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2) 1/2)))) (#(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 pow.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) 2)) (cbrt.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))))) (sqrt.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 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 fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 (/.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1)))) (#(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 exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))

simplify44.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
914×distribute-rgt-out_binary64
819×fma-def_binary64
694×associate-*l*_binary64
505×associate-*r*_binary64
464×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050502
1122497
2305495
3998495
44738495
Stop Event
1×node limit
Counts
178 → 165
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 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (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))
(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 173/5040 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 31/360 (pow.f64 x 6)) (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 -1 (pow.f64 x 2)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.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)))
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 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(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 x x (fma.f64 17/45 (pow.f64 x 6) (fma.f64 62/315 (pow.f64 x 8) (*.f64 2/3 (pow.f64 x 4)))))
(fma.f64 x x (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 62/315 2/3) (*.f64 17/45 (pow.f64 x 6))))
(/.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))
(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 (pow.f64 x 4) 1/6 (*.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/6))
(+.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 x x (*.f64 (pow.f64 x 6) 31/360)))
(fma.f64 (pow.f64 x 6) 31/360 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/6)))
(fma.f64 x x (fma.f64 (pow.f64 x 4) 1/6 (*.f64 (pow.f64 x 6) 31/360)))
(fma.f64 (pow.f64 x 4) 1/6 (fma.f64 (pow.f64 x 6) 31/360 (*.f64 x x)))
(+.f64 (*.f64 173/5040 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 31/360 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 173/5040 (pow.f64 x 8) (fma.f64 1/6 (pow.f64 x 4) (fma.f64 31/360 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 8) 173/5040 (fma.f64 (pow.f64 x 4) 1/6 (fma.f64 x x (*.f64 (pow.f64 x 6) 31/360))))
(fma.f64 (pow.f64 x 8) 173/5040 (fma.f64 (pow.f64 x 6) 31/360 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/6))))
(fma.f64 (pow.f64 x 4) 1/6 (fma.f64 x x (fma.f64 (pow.f64 x 8) 173/5040 (*.f64 (pow.f64 x 6) 31/360))))
(fma.f64 (pow.f64 x 4) 1/6 (fma.f64 (pow.f64 x 6) 31/360 (fma.f64 (pow.f64 x 8) 173/5040 (*.f64 x 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))
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (neg.f64 (*.f64 x x))))
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (*.f64 x x))
(-.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 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 6) -17/45))))
(+.f64 (fma.f64 (pow.f64 x 6) -17/45 (*.f64 x (neg.f64 x))) (fma.f64 (pow.f64 x 4) -2/3 1))
(fma.f64 (pow.f64 x 4) -2/3 (-.f64 (fma.f64 (pow.f64 x 6) -17/45 1) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) -2/3 (fma.f64 (pow.f64 x 6) -17/45 (neg.f64 (fma.f64 x x -1))))
(-.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)))

localize27.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (tan.f64 x) 2)
0.2b
(cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))
0.1b
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 3) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
0.0b
(-.f64 -1 (pow.f64 (tan.f64 x) 2))
✓0.2b
(cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))
0.2b
(pow.f64 (tan.f64 x) 2)
0.3b
(fma.f64 (tan.f64 x) (tan.f64 x) -1)
✓0.3b
(pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 3)
Compiler

Compiled 55 to 31 computations (43.6% saved)

series9.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 3)
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 3)
2.0ms
x
@0
(pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 3)
1.0ms
x
@0
(cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))
0.0ms
x
@inf
(cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))

rewrite49.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
610×pow1_binary64
571×add-log-exp_binary64
571×log1p-expm1-u_binary64
571×expm1-log1p-u_binary64
558×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
116420
2157020
Stop Event
1×node limit
Counts
2 → 45
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 3)
(cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (tan.f64 x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (tan.f64 x) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 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 1 (fma.f64 (tan.f64 x) (tan.f64 x) -1))))) (#(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 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))) 2) (*.f64 (cbrt.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 (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 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) 1/6) (*.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) 1/6) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))) 2) 3) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) 1) (-.f64 (tan.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 2) 1) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 2) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) 1/6)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) -1) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) 1) (-.f64 (pow.f64 (tan.f64 x) 2) -1))))) (#(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 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 fma.f64 (tan.f64 x) (tan.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) 1/6) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1))))))))

simplify33.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
623×associate-/l*_binary64
583×associate-/r*_binary64
523×associate-+l+_binary64
381×associate-*l/_binary64
367×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071628
1209547
2633479
32380440
Stop Event
1×node limit
Counts
69 → 63
Calls
Call 1
Inputs
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (+.f64 (*.f64 (+.f64 1/9 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (cbrt.f64 -1))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 1/3 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 x 4)) (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (cbrt.f64 -1))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 1/3 (/.f64 1 (cbrt.f64 -1))))) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 2/3 (/.f64 (-.f64 47/45 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6)))) (cbrt.f64 -1))))) (*.f64 1/3 (-.f64 47/45 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))))))) 2/9) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 1/9 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (cbrt.f64 -1))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 1/3 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 x 4)) (pow.f64 x 2))) 1)
(*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 47/45 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6)))) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 2))))))
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
Outputs
-1
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (+.f64 (*.f64 (+.f64 1/9 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (cbrt.f64 -1))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 1/3 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 x 4)) (pow.f64 x 2)) 1)
(+.f64 (fma.f64 (+.f64 1/9 (*.f64 (cbrt.f64 -1) (+.f64 (/.f64 1/3 (cbrt.f64 -1)) (+.f64 (/.f64 1/3 (cbrt.f64 -1)) (/.f64 1/9 (pow.f64 (cbrt.f64 -1) 4)))))) (pow.f64 x 4) (*.f64 x x)) -1)
(fma.f64 (fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 1/3 (cbrt.f64 -1)) (+.f64 (/.f64 1/3 (cbrt.f64 -1)) (/.f64 1/9 (*.f64 -1 (cbrt.f64 -1))))) 1/9) (pow.f64 x 4) (fma.f64 x x -1))
(fma.f64 x x (fma.f64 (+.f64 7/9 (*.f64 (cbrt.f64 -1) (/.f64 -1/9 (cbrt.f64 -1)))) (pow.f64 x 4) -1))
(fma.f64 x x (fma.f64 (pow.f64 x 4) 2/3 -1))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (cbrt.f64 -1))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 1/3 (/.f64 1 (cbrt.f64 -1))))) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 2/3 (/.f64 (-.f64 47/45 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6)))) (cbrt.f64 -1))))) (*.f64 1/3 (-.f64 47/45 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))))))) 2/9) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 1/9 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (cbrt.f64 -1))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 1/3 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 x 4)) (pow.f64 x 2))) 1)
(+.f64 (fma.f64 (+.f64 (fma.f64 1/3 (/.f64 (+.f64 (/.f64 1/3 (cbrt.f64 -1)) (+.f64 (/.f64 1/3 (cbrt.f64 -1)) (/.f64 1/9 (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 2/9 (pow.f64 (cbrt.f64 -1) 4)) (*.f64 2/3 (/.f64 (-.f64 47/45 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6))) (cbrt.f64 -1)))) (*.f64 1/3 (-.f64 47/45 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)))))) -2/9) (pow.f64 x 6) (fma.f64 (+.f64 1/9 (*.f64 (cbrt.f64 -1) (+.f64 (/.f64 1/3 (cbrt.f64 -1)) (+.f64 (/.f64 1/3 (cbrt.f64 -1)) (/.f64 1/9 (pow.f64 (cbrt.f64 -1) 4)))))) (pow.f64 x 4) (*.f64 x x))) -1)
(fma.f64 (+.f64 (fma.f64 1/3 (/.f64 (+.f64 (/.f64 1/3 (cbrt.f64 -1)) (+.f64 (/.f64 1/3 (cbrt.f64 -1)) (/.f64 1/9 (*.f64 -1 (cbrt.f64 -1))))) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (cbrt.f64 -1) (+.f64 (/.f64 2/9 (*.f64 -1 (cbrt.f64 -1))) (/.f64 272/405 (cbrt.f64 -1))))) 46/405) (pow.f64 x 6) (fma.f64 (fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 1/3 (cbrt.f64 -1)) (+.f64 (/.f64 1/3 (cbrt.f64 -1)) (/.f64 1/9 (*.f64 -1 (cbrt.f64 -1))))) 1/9) (pow.f64 x 4) (fma.f64 x x -1)))
(fma.f64 (fma.f64 1/3 (/.f64 (+.f64 (/.f64 -1/9 (cbrt.f64 -1)) (*.f64 (/.f64 1 (cbrt.f64 -1)) 2/3)) (pow.f64 (cbrt.f64 -1) 2)) 76/135) (pow.f64 x 6) (fma.f64 x x (fma.f64 (+.f64 7/9 (*.f64 (cbrt.f64 -1) (/.f64 -1/9 (cbrt.f64 -1)))) (pow.f64 x 4) -1)))
(fma.f64 (fma.f64 1/3 (/.f64 (+.f64 (/.f64 -1/9 (cbrt.f64 -1)) (/.f64 2/3 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)) 76/135) (pow.f64 x 6) (fma.f64 x x (fma.f64 (pow.f64 x 4) 2/3 -1)))
(*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(*.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(+.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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(*.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(+.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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(*.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(+.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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(*.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(+.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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(*.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(+.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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(*.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(+.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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(*.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(+.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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 1 1/3))
(*.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(+.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)
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (/.f64 (*.f64 1/3 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2)))
(fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1))
(fma.f64 1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (cbrt.f64 -1))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (+.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 1/3 (+.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))
(fma.f64 1/3 (+.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))
(+.f64 (cbrt.f64 -1) (*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 x x) (pow.f64 x 4))))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 47/45 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6)))) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 1/3 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (-.f64 47/45 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 6)))))))
(+.f64 (cbrt.f64 -1) (fma.f64 1/3 (+.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 136/405 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 6)))))
(fma.f64 1/3 (+.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 (/.f64 136/135 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 6) (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))
(+.f64 (*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 x x) (pow.f64 x 4))) (+.f64 (cbrt.f64 -1) (*.f64 (/.f64 136/405 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 6))))
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
(cbrt.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(cbrt.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(cbrt.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) -1))
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
(cbrt.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(cbrt.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(cbrt.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) -1))
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
(cbrt.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(cbrt.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(cbrt.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) -1))
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
(cbrt.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(cbrt.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(cbrt.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) -1))
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
(cbrt.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(cbrt.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(cbrt.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) -1))
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
(cbrt.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(cbrt.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(cbrt.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) -1))
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
(cbrt.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(cbrt.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(cbrt.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) -1))
(pow.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 1/3)
(cbrt.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(cbrt.f64 (+.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(cbrt.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) -1))

eval368.0ms (5.9%)

Compiler

Compiled 18119 to 11492 computations (36.6% saved)

prune158.0ms (2.5%)

Pruning

47 alts after pruning (45 fresh and 2 done)

PrunedKeptTotal
New82527852
Fresh131831
Picked101
Done628
Total84547892
Error
0.0b
Counts
892 → 47
Alt Table
Click to see full alt table
StatusErrorProgram
0.7b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (tan.f64 x) 1) (-.f64 (tan.f64 x) 1))) 3) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
▶0.6b
(/.f64 (-.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))))
0.4b
(*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))
0.4b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))
24.8b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
29.8b
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
0.5b
(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (fma.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)))
24.8b
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1))
▶0.4b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)
16.1b
(pow.f64 (/.f64 (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (hypot.f64 1 (tan.f64 x))) 2)
0.5b
(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (fma.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) -1)))
0.7b
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
32.6b
(/.f64 (-.f64 1 (exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 3) 1/3))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
27.5b
1
✓30.2b
(fma.f64 x (*.f64 x -2) 1)
0.8b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (pow.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 3))
24.8b
(/.f64 (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))) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
✓0.3b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
0.7b
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1)) 3) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
60.6b
(/.f64 -1 (sqrt.f64 (pow.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)) 2)))
0.4b
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) -2) -1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.5b
(*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))
0.7b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 1)) 3) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
▶30.3b
(-.f64 1 (*.f64 x x))
0.7b
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 3) (-.f64 -1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
16.1b
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1)) (hypot.f64 1 (tan.f64 x))) 2)
0.3b
(/.f64 (+.f64 -1 (pow.f64 (tan.f64 x) 2)) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
1.4b
(/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
16.1b
(pow.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))))) 2)
0.7b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)))
0.5b
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
0.4b
(/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
15.9b
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.7b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)))
0.4b
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (/.f64 1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))))
0.4b
(/.f64 (*.f64 (+.f64 (tan.f64 x) 1) (-.f64 (tan.f64 x) 1)) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
0.4b
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶0.3b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
0.7b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))
▶0.4b
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
0.4b
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
0.5b
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
0.4b
(*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (fma.f64 (tan.f64 x) (tan.f64 x) -1))
Compiler

Compiled 1561 to 1166 computations (25.3% saved)

localize16.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (tan.f64 x) 2)
0.2b
(-.f64 1 (pow.f64 (tan.f64 x) 2))
0.1b
(fma.f64 (tan.f64 x) (tan.f64 x) 1)
0.1b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
✓0.1b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.1b
(fma.f64 (tan.f64 x) (tan.f64 x) 1)
0.2b
(-.f64 1 (pow.f64 (tan.f64 x) 2))
0.2b
(pow.f64 (tan.f64 x) 2)
Compiler

Compiled 35 to 19 computations (45.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite50.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
974×pow1_binary64
907×add-log-exp_binary64
907×log1p-expm1-u_binary64
907×expm1-log1p-u_binary64
97×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
119820
2250420
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.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))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(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 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.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))) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(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))) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (+.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) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.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 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (cbrt.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 pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.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)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (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))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))))

simplify44.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
771×fma-def_binary64
603×distribute-neg-frac_binary64
601×associate-/l*_binary64
439×associate-/r*_binary64
332×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028336
168334
2147334
3441334
41767334
57067334
Stop Event
1×node limit
Counts
46 → 42
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(/.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))))
Outputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 1))
(fma.f64 x (fma.f64 -2 x (*.f64 2/3 (pow.f64 x 3))) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 -4/45 (pow.f64 x 6))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 1)))
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 -4/45 (pow.f64 x 6) 1))
(fma.f64 -4/45 (pow.f64 x 6) (fma.f64 x (fma.f64 -2 x (*.f64 2/3 (pow.f64 x 3))) 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 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))))

localize4.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize26.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (tan.f64 x) 2)
0.2b
(-.f64 1 (pow.f64 (tan.f64 x) 2))
0.1b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
0.0b
(+.f64 1 (pow.f64 (tan.f64 x) 2))
0.2b
(-.f64 1 (pow.f64 (tan.f64 x) 2))
0.2b
(pow.f64 (tan.f64 x) 2)
✓0.3b
(-.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))))
Compiler

Compiled 67 to 47 computations (29.9% saved)

series4.0ms (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)

rewrite117.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
886×prod-diff_binary64
568×fma-def_binary64
532×log-prod_binary64
301×fma-neg_binary64
217×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01149
126243
2370443
Stop Event
1×node limit
Counts
2 → 244
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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (/.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (-.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 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simplify68.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
645×unswap-sqr_binary64
517×times-frac_binary64
368×fma-def_binary64
350×associate-*l*_binary64
301×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0371000
197996
2236996
3819820
44180564
57299540
Stop Event
1×node limit
Counts
268 → 262
Calls
Call 1
Inputs
2
(+.f64 (*.f64 -2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 2 (*.f64 -4/45 (pow.f64 x 6)))))
(-.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))))))
(-.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))))))
(-.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))))))
(-.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))))))
(-.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))))))
(-.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))))))
(-.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))))))
(-.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))))))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(-.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 (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 (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 (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 (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 (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 (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 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
Outputs
2
(+.f64 (*.f64 -2 (pow.f64 x 2)) 2)
(fma.f64 -2 (*.f64 x x) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 2))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 2))
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 2))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 2 (*.f64 -4/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 2) (*.f64 -4/45 (pow.f64 x 6))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 2)))
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 2)))
(fma.f64 -4/45 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 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 (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 (+.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (cos.f64 x) 2) (/.f64 -1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))
(-.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))))))
(+.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 (+.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (cos.f64 x) 2) (/.f64 -1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))
(-.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))))))
(+.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 (+.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (cos.f64 x) 2) (/.f64 -1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))
(-.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))))))
(+.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 (+.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (cos.f64 x) 2) (/.f64 -1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))
(-.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))))))
(+.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 (+.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (cos.f64 x) 2) (/.f64 -1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))
(-.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))))))
(+.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 (+.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (cos.f64 x) 2) (/.f64 -1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))
(-.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))))))
(+.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 (+.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (cos.f64 x) 2) (/.f64 -1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))
(-.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))))))
(+.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 (+.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (cos.f64 x) 2) (/.f64 -1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -2 x) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 1)
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 -4/45 (pow.f64 x 6))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 1)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) (fma.f64 -4/45 (pow.f64 x 6) 1))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 -4/45 (pow.f64 x 6) 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 (/.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 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.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 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.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 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.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 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.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 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.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 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.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 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.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 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.f64 x) 2))

localize26.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(-.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1))
0.1b
(/.f64 (-.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.1b
(hypot.f64 1 (tan.f64 x))
0.0b
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓0.2b
(-.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1))
0.2b
(pow.f64 (hypot.f64 1 (tan.f64 x)) 2)
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
✓2.4b
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)
Compiler

Compiled 64 to 38 computations (40.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite54.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
962×pow1_binary64
895×add-log-exp_binary64
894×log1p-expm1-u_binary64
894×expm1-log1p-u_binary64
102×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
120327
2253127
Stop Event
1×node limit
Counts
2 → 66
Calls
Call 1
Inputs
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)
(-.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1))
Outputs
((#(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 -1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)) 2) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) -1) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) -1) (/.f64 1 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (tan.f64 x)) 1) (-.f64 (hypot.f64 1 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) -1) (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) -1) (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) (-.f64 1 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) -1) (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) -1) (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) -1)) (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) -1)) (neg.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 2 (log.f64 (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 1 (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)) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) 2) (cbrt.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (sqrt.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1) 2)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1))) (-.f64 1 (pow.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1) 3)) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1) 2))) (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) (+.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3) 1) (+.f64 (*.f64 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (-.f64 1 (*.f64 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))) (-.f64 1 (+.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) (-.f64 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))))))

simplify34.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
527×fma-def_binary64
521×distribute-rgt-out_binary64
515×distribute-lft-out_binary64
467×associate-*l*_binary64
458×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039356
196351
2234349
3755349
43388349
Stop Event
1×node limit
Counts
90 → 83
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 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (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 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.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)))
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 2/3 (pow.f64 x 4) (fma.f64 x x (*.f64 17/45 (pow.f64 x 6))))
(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 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 x x (*.f64 17/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (*.f64 62/315 (pow.f64 x 8)))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 62/315 2/3) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(/.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 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (neg.f64 (*.f64 x x))))
(fma.f64 (pow.f64 x 4) -2/3 (-.f64 1 (*.f64 x x)))
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (*.f64 x x))
(-.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 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 6) -17/45))))
(+.f64 (-.f64 (*.f64 (pow.f64 x 6) -17/45) (*.f64 x x)) (fma.f64 (pow.f64 x 4) -2/3 1))
(fma.f64 (pow.f64 x 4) -2/3 (-.f64 (fma.f64 (pow.f64 x 6) -17/45 1) (*.f64 x x)))
(-.f64 (fma.f64 (pow.f64 x 6) -17/45 1) (fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)))
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(-.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)))

localize24.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (tan.f64 x) 2)
0.2b
(/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))
0.1b
(/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
0.0b
(+.f64 1 (pow.f64 (tan.f64 x) 2))
✓0.1b
(/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
✓0.2b
(/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))
0.2b
(pow.f64 (tan.f64 x) 2)
✓0.4b
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
Compiler

Compiled 55 to 37 computations (32.7% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite96.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
514×log-prod_binary64
405×fma-def_binary64
362×pow-prod-down_binary64
287×pow2_binary64
217×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01049
123346
2332843
Stop Event
1×node limit
Counts
3 → 270
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (*.f64 (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 1 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) (fma.f64 (neg.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (pow.f64 (tan.f64 x) 2) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))) 2)) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 4)) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -4) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -4) (*.f64 (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 4)) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 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(-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (*.f64 (hypot.f64 1 (tan.f64 x)) (tan.f64 x)) 2))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -6) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 6)) (+.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (*.f64 (hypot.f64 1 (tan.f64 x)) (tan.f64 x)) 2)))) (neg.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify54.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
770×fma-def_binary64
517×times-frac_binary64
415×unswap-sqr_binary64
351×cancel-sign-sub-inv_binary64
340×distribute-lft-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0551021
11381015
23541013
31262835
44799579
Stop Event
1×node limit
Counts
306 → 297
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(-.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 (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 (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 (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 (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 (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 (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 (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 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.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 (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 (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 (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 (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 (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 (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 (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)))))
Outputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) 1)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 -4/45 (pow.f64 x 6))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 1)))
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1)))
(fma.f64 -4/45 (pow.f64 x 6) (fma.f64 -2 (*.f64 x x) (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 (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 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) (pow.f64 (sin.f64 x) 2))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/3)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/3 (neg.f64 (*.f64 x x))))
(-.f64 (fma.f64 (pow.f64 x 4) 1/3 1) (*.f64 x x))
(fma.f64 x (neg.f64 x) (fma.f64 (pow.f64 x 4) 1/3 1))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (fma.f64 -2/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/3))))
(+.f64 (-.f64 1 (*.f64 x x)) (fma.f64 (pow.f64 x 4) 1/3 (*.f64 (pow.f64 x 6) -2/45)))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/3 (*.f64 (pow.f64 x 6) -2/45)) (*.f64 x x)))
(-.f64 (fma.f64 (pow.f64 x 4) 1/3 1) (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45)))
(-.f64 (fma.f64 (pow.f64 x 4) 1/3 1) (fma.f64 (pow.f64 x 6) 2/45 (*.f64 x x)))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x 4) -1/3))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45)))
(fma.f64 x x (fma.f64 (pow.f64 x 4) -1/3 (*.f64 (pow.f64 x 6) 2/45)))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 (pow.f64 x 6) 2/45 (*.f64 x x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45))))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 x x (fma.f64 -1/315 (pow.f64 x 8) (*.f64 (pow.f64 x 6) 2/45))))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 (pow.f64 x 6) 2/45 (fma.f64 x x (*.f64 -1/315 (pow.f64 x 8)))))
(/.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 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.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 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.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 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.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 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.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 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.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 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.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 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.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 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)

eval660.0ms (10.5%)

Compiler

Compiled 31214 to 21763 computations (30.3% saved)

prune164.0ms (2.6%)

Pruning

46 alts after pruning (42 fresh and 4 done)

PrunedKeptTotal
New1094171111
Fresh152540
Picked101
Done246
Total1112461158
Error
0.0b
Counts
1158 → 46
Alt Table
Click to see full alt table
StatusErrorProgram
0.7b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (tan.f64 x) 1) (-.f64 (tan.f64 x) 1))) 3) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
24.8b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)
0.7b
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))
29.8b
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
24.8b
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1))
✓0.4b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)
16.1b
(pow.f64 (/.f64 (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (hypot.f64 1 (tan.f64 x))) 2)
0.6b
(/.f64 (-.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)) (+.f64 1 (fma.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)))
0.7b
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))
32.6b
(/.f64 (-.f64 1 (exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 3) 1/3))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
27.5b
1
✓30.2b
(fma.f64 x (*.f64 x -2) 1)
0.8b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (pow.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 3))
0.5b
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
0.5b
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
24.8b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) -1)
0.3b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
0.4b
(/.f64 (-.f64 1 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(-.f64 (fma.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1) 1)
60.6b
(/.f64 -1 (sqrt.f64 (pow.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)) 2)))
0.4b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
0.6b
(/.f64 (-.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
0.4b
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
0.7b
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 3) (-.f64 -1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
0.4b
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
16.1b
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1)) (hypot.f64 1 (tan.f64 x))) 2)
0.6b
(-.f64 (-.f64 (+.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1) 1)
1.4b
(/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
16.1b
(pow.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))))) 2)
0.7b
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)))
15.9b
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.7b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)))
0.4b
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (/.f64 1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))))
0.6b
(/.f64 (-.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
0.4b
(/.f64 (*.f64 (+.f64 (tan.f64 x) 1) (-.f64 (tan.f64 x) 1)) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
0.4b
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
✓0.3b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
0.7b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))
0.5b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2))
0.6b
(/.f64 (-.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)) (+.f64 1 (fma.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) -1)))
0.4b
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
✓30.3b
(-.f64 1 (*.f64 x x))
0.4b
(*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (fma.f64 (tan.f64 x) (tan.f64 x) -1))
Compiler

Compiled 773 to 594 computations (23.2% saved)

regimes62.0ms (1%)

Counts
46 → 1
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 x x))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(fma.f64 x (*.f64 x -2) 1)
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) -1)
(/.f64 -1 (sqrt.f64 (pow.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)) 2)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1))
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 (+.f64 (tan.f64 x) 1) (-.f64 (tan.f64 x) 1)) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)
(/.f64 (-.f64 1 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (-.f64 (+.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1) 1)
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (/.f64 1 (-.f64 -1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)))
(/.f64 (-.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(-.f64 (fma.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1) 1)
(/.f64 (-.f64 1 (exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 3) 1/3))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)))
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
(/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (tan.f64 x) 1) (-.f64 (tan.f64 x) 1))) 3) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (pow.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2))) 3))
(pow.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (hypot.f64 1 (tan.f64 x))) 2)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 3) (-.f64 -1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
(*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (fma.f64 (tan.f64 x) (tan.f64 x) -1))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))
(/.f64 (-.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)) (+.f64 1 (fma.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)))
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1)) (hypot.f64 1 (tan.f64 x))) 2)
(/.f64 (-.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)) (+.f64 1 (fma.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) -1)))
Outputs
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
Calls

2 calls:

21.0ms
(tan.f64 x)
20.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(tan.f64 x)
Compiler

Compiled 733 to 501 computations (31.7% saved)

regimes25.0ms (0.4%)

Counts
18 → 1
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 x x))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(fma.f64 x (*.f64 x -2) 1)
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) -1)
(/.f64 -1 (sqrt.f64 (pow.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)) 2)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1))
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 (+.f64 (tan.f64 x) 1) (-.f64 (tan.f64 x) 1)) (-.f64 -1 (pow.f64 (tan.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)
(/.f64 (-.f64 1 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (-.f64 (+.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1) 1)
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))
Outputs
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
Calls

2 calls:

10.0ms
x
9.0ms
(tan.f64 x)
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(tan.f64 x)
Compiler

Compiled 219 to 158 computations (27.9% saved)

regimes21.0ms (0.3%)

Counts
9 → 1
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 x x))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(fma.f64 x (*.f64 x -2) 1)
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) -1)
(/.f64 -1 (sqrt.f64 (pow.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)) 2)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1))
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
Outputs
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
Calls

3 calls:

7.0ms
x
5.0ms
(tan.f64 x)
5.0ms
(tan.f64 x)
Results
ErrorSegmentsBranch
0.4b1x
0.4b1(tan.f64 x)
0.4b1(tan.f64 x)
Compiler

Compiled 79 to 57 computations (27.8% saved)

regimes13.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 x x))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(fma.f64 x (*.f64 x -2) 1)
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) -1)
(/.f64 -1 (sqrt.f64 (pow.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)) 2)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1))
Outputs
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1))
Calls

2 calls:

5.0ms
(tan.f64 x)
5.0ms
x
Results
ErrorSegmentsBranch
24.8b1x
24.8b1(tan.f64 x)
Compiler

Compiled 63 to 45 computations (28.6% saved)

regimes13.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 x x))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(fma.f64 x (*.f64 x -2) 1)
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) -1)
(/.f64 -1 (sqrt.f64 (pow.f64 (-.f64 -1 (pow.f64 (tan.f64 x) 2)) 2)))
Outputs
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)
Calls

2 calls:

6.0ms
(tan.f64 x)
5.0ms
x
Results
ErrorSegmentsBranch
24.8b1x
24.8b1(tan.f64 x)
Compiler

Compiled 52 to 36 computations (30.8% saved)

regimes5.0ms (0.1%)

Accuracy

Total -3.2b remaining (-11.5%)

Threshold costs -3.2b (-11.5%)

Counts
4 → 1
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 x x))
(/.f64 -1 (-.f64 -1 (*.f64 x x)))
(fma.f64 x (*.f64 x -2) 1)
Outputs
1
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
27.5b1x
Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×+-commutative_binary64
4×sub-neg_binary64
2×*-commutative_binary64
2×/-rgt-identity_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02084
12884
23584
33984
44184
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)
1
Outputs
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)
(-.f64 1 (pow.f64 (tan.f64 x) 2))
1

end55.0ms (0.9%)

Stop Event
1×fuel
Compiler

Compiled 117 to 89 computations (23.9% saved)

Profiling

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