Details

Time bar (total: 7.7s)

analyze213.0ms (2.7%)

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)

sample1.6s (20.6%)

Results
677.0ms2072×body1024valid
664.0ms5124×body256valid
240.0ms1059×body512valid
0.0ms1×body2048valid

preprocess79.0ms (1%)

Algorithm
2×egg-herbie
Rules
627×times-frac_binary64
560×div-sub_binary64
542×fma-def_binary64
479×sub-neg_binary64
333×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11922
23122
34922
49922
516922
628122
761622
8153322
9389922
10701222
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify69.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
627×times-frac_binary64
560×div-sub_binary64
542×fma-def_binary64
479×sub-neg_binary64
333×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0824
11922
23122
34922
49922
516922
628122
761622
8153322
9389922
10701222
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))

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
0.4b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
▶0.4b
(/.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)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series8.0ms (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
@-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))

rewrite125.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0844
118044
2255344
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 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 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 (pow.f64 (cbrt.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 log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) (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)) (pow.f64 (cbrt.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 fma.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (/.f64 1 (+.f64 1 (-.f64 (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 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)) -1)))))
((#(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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x) 2)) 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 (+.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 (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 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 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2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (pow.f64 (/.f64 1 (+.f64 1 (-.f64 (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 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))) (#(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 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)))))) (#(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 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 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 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) 2) 3) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (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 1 (-.f64 (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 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) 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 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 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 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) 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 1 (-.f64 (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 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))))) (#(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 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 expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 1 (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 exp.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) 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 (pow.f64 (cbrt.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) (pow.f64 (cbrt.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)))))

simplify70.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
807×fma-def_binary64
653×distribute-rgt-out_binary64
559×associate-*l*_binary64
463×cancel-sign-sub-inv_binary64
461×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054871
1141860
2348856
31062856
44686856
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))))
(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 (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 x x (fma.f64 17/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 62/315 2/3))))
(/.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 (*.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 4) -2/3 (-.f64 1 (*.f64 x x))) (*.f64 (pow.f64 x 6) -17/45))
(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 1 (fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (*.f64 2/3 (pow.f64 x 4)))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
1
(+.f64 (*.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 2/3 (pow.f64 x 4) (fma.f64 x (*.f64 x -2) 1))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -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 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 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 (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 37 to 13 computations (64.9% saved)

series3.0ms (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
@inf
(fma.f64 (tan.f64 x) (tan.f64 x) 1)
0.0ms
x
@0
(fma.f64 (tan.f64 x) (tan.f64 x) 1)

rewrite67.0ms (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
2241329
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 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 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) 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 (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 (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 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 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 +.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 log1p.f64 (expm1.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)))))))

simplify60.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
598×associate-/l*_binary64
441×associate-/r*_binary64
360×fma-def_binary64
351×*-commutative_binary64
332×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035515
189509
2204507
3581507
42440507
57496507
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))
(/.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 2/3 (pow.f64 x 4) (fma.f64 x x 1)) (*.f64 (pow.f64 x 6) 17/45))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x 1)))
(fma.f64 x x (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 2/3 (pow.f64 x 4) 1)))
(fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x (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)

eval326.0ms (4.2%)

Compiler

Compiled 14696 to 9450 computations (35.7% saved)

prune142.0ms (1.8%)

Pruning

48 alts after pruning (48 fresh and 0 done)

PrunedKeptTotal
New50048548
Fresh000
Picked101
Done101
Total50248550
Error
0.0b
Counts
550 → 48
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)
33.4b
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
0.7b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)))
33.4b
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
0.5b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
▶0.6b
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))
0.4b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.5b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
0.6b
(/.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
30.3b
1
▶33.1b
(fma.f64 x (*.f64 x -2) 1)
0.4b
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
▶0.4b
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.9b
(+.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 (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))))
0.4b
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
▶0.5b
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
0.9b
(+.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 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (tan.f64 x) 1) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1))))
0.6b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3))
0.5b
(/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
1.4b
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))
0.6b
(+.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (tan.f64 x) 1) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1))))
0.5b
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
0.6b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
32.8b
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
1.1b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) 3))
0.5b
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
33.1b
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.8b
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (*.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2))) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))))
▶0.4b
(/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.4b
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)
0.6b
(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
32.9b
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
30.0b
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))
1.2b
(/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
30.0b
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
32.2b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x)))
1.0b
(+.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 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2))) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))))
0.8b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3)
0.6b
(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)))
17.3b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 2)
0.5b
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (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))))
1.1b
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.5b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
17.3b
(/.f64 (pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.6b
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
17.4b
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6))
0.5b
(/.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))))
Compiler

Compiled 2220 to 1576 computations (29% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓0.2b
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
✓0.4b
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1)
Compiler

Compiled 42 to 14 computations (66.7% saved)

series8.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1)
1.0ms
x
@inf
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
1.0ms
x
@-inf
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
1.0ms
x
@-inf
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1)
0.0ms
x
@0
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1)

rewrite60.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
758×pow1_binary64
705×add-log-exp_binary64
704×log1p-expm1-u_binary64
704×expm1-log1p-u_binary64
690×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0933
119326
2276226
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1)
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.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 1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (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 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) 4) (+.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 (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))) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)))))) (#(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) (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 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (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 1 (+.f64 (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) 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (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 (pow.f64 (tan.f64 x) 2) -1))))) (#(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) 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 (hypot.f64 1 (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 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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (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 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (tan.f64 x)) (*.f64 (hypot.f64 1 (tan.f64 x)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (/.f64 1 (+.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 (cbrt.f64 (pow.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 (hypot.f64 1 (tan.f64 x)) 1) (/.f64 (hypot.f64 1 (tan.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.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 (hypot.f64 1 (tan.f64 x)) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2))) (/.f64 (hypot.f64 1 (tan.f64 x)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.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 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.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 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.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 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (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 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (pow.f64 (tan.f64 x) 2))))))))

simplify47.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
664×associate-/l*_binary64
424×fma-def_binary64
406×cancel-sign-sub-inv_binary64
396×associate-/r*_binary64
371×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040554
196515
2232513
3746513
43081513
Stop Event
1×node limit
Counts
89 → 82
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 -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))))
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 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 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 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 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 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 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 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 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))
(fma.f64 x (neg.f64 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 -2/3 (pow.f64 x 4) 1) (*.f64 x x))
(+.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 (-.f64 (fma.f64 -2/3 (pow.f64 x 4) 1) (*.f64 x x)) (*.f64 -17/45 (pow.f64 x 6)))
(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) (fma.f64 -2/3 (pow.f64 x 4) 1)) (*.f64 x x))
(-.f64 (fma.f64 -2/3 (pow.f64 x 4) 1) (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.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))))
(+.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))))
(+.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))))
(+.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))))
(+.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))))
(+.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))))
(+.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))))
(+.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)))
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))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -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)))))
(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)))
(fma.f64 (pow.f64 x 6) -4/45 (fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 1)))
(/.f64 (+.f64 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 (+.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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 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 -1 (/.f64 (pow.f64 (sin.f64 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 (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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 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 -1 (/.f64 (pow.f64 (sin.f64 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 (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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 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 -1 (/.f64 (pow.f64 (sin.f64 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 (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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 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 -1 (/.f64 (pow.f64 (sin.f64 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 (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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 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 -1 (/.f64 (pow.f64 (sin.f64 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 (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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 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 -1 (/.f64 (pow.f64 (sin.f64 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 (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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 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 -1 (/.f64 (pow.f64 (sin.f64 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 (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 (-.f64 1 (/.f64 (pow.f64 (sin.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 (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 40 to 26 computations (35% saved)

series9.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(pow.f64 (hypot.f64 1 (tan.f64 x)) -2)
2.0ms
x
@inf
(pow.f64 (hypot.f64 1 (tan.f64 x)) -2)
1.0ms
x
@inf
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
1.0ms
x
@-inf
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
1.0ms
x
@0
(pow.f64 (hypot.f64 1 (tan.f64 x)) -2)

rewrite85.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
446×log-prod_binary64
344×exp-prod_binary64
311×prod-exp_binary64
270×pow-prod-down_binary64
270×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
123644
2263344
Stop Event
1×node limit
Counts
4 → 168
Calls
Call 1
Inputs
(pow.f64 (hypot.f64 1 (tan.f64 x)) -2)
(pow.f64 (tan.f64 x) 2)
(-.f64 1 (pow.f64 (tan.f64 x) 2))
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) -2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -4)) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (/.f64 1 (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) -4) (pow.f64 (cbrt.f64 (hypot.f64 1 (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 sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))))) (#(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 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1 (log1p.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 1 (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 exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 1 (tan.f64 x))) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 1 (tan.f64 x))) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 1 (tan.f64 x))) -1) (neg.f64 (log.f64 (hypot.f64 1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (hypot.f64 1 (tan.f64 x)))) (*.f64 (log.f64 (hypot.f64 1 (tan.f64 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 1 (tan.f64 x))) -1) (*.f64 (log.f64 (hypot.f64 1 (tan.f64 x))) -1)))))))
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(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 sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2) (pow.f64 (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 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(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 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 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(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 (*.f64 -1 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -1 (log1p.f64 (pow.f64 (tan.f64 x) 2))) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -1 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1) (*.f64 (log1p.f64 (neg.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 -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 (*.f64 -1 (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 (*.f64 -1 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (*.f64 (neg.f64 (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) (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) 1 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) -2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -4)) (*.f64 (neg.f64 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egg-rr> (2) ((x fma.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (/.f64 1 (hypot.f64 1 (tan.f64 x))) (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) -4) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) -2) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) -4) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) -2) (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (tan.f64 x) 2))))))))

simplify63.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
938×fma-def_binary64
797×cancel-sign-sub-inv_binary64
747×fma-neg_binary64
690×associate-*l*_binary64
541×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060903
1149892
2373888
31235886
45604886
Stop Event
1×node limit
Counts
216 → 196
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))))
(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))))
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 (-.f64 1 (*.f64 x x)) (*.f64 1/3 (pow.f64 x 4)))
(-.f64 (fma.f64 1/3 (pow.f64 x 4) 1) (*.f64 x x))
(-.f64 (*.f64 1/3 (pow.f64 x 4)) (fma.f64 x x -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 1/3 (pow.f64 x 4)))))
(+.f64 (-.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 (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 (+.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 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 (pow.f64 x 4) 2/3))
(+.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 (pow.f64 x 4) 2/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45)))
(fma.f64 x x (fma.f64 (pow.f64 x 6) 17/45 (*.f64 (pow.f64 x 4) 2/3)))
(+.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 (pow.f64 x 4) 2/3 (fma.f64 62/315 (pow.f64 x 8) (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45))))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x (*.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 x x (*.f64 (pow.f64 x 6) 17/45)))
(/.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 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 (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)))
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45)))
(-.f64 1 (fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
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) (fma.f64 -2 (*.f64 x x) (+.f64 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))) (+.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))))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
✓0.2b
(-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4)))
✓0.5b
(pow.f64 (tan.f64 x) 4)
✓7.5b
(sqrt.f64 (pow.f64 (tan.f64 x) 4))
Compiler

Compiled 42 to 24 computations (42.9% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow.f64 (tan.f64 x) 4)
1.0ms
x
@-inf
(pow.f64 (tan.f64 x) 4)
0.0ms
x
@0
(pow.f64 (tan.f64 x) 4)
0.0ms
x
@0
(sqrt.f64 (pow.f64 (tan.f64 x) 4))
0.0ms
x
@inf
(sqrt.f64 (pow.f64 (tan.f64 x) 4))

rewrite104.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
454×log-prod_binary64
416×prod-diff_binary64
348×exp-prod_binary64
260×pow2_binary64
259×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
121841
2279241
Stop Event
1×node limit
Counts
4 → 223
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (tan.f64 x) 4))
(pow.f64 (tan.f64 x) 4)
(-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4)))
(/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
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 (pow.f64 (hypot.f64 1 (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)) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 3/2) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 5) (cbrt.f64 (tan.f64 x)))))) (#(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) 4) 1/2)))) (#(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 (E.f64) (*.f64 2 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 8) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 12) 1/6)))) (#(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 (cbrt.f64 (tan.f64 x)) 4) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 x)) 6)))) (#(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 pow.f64 (exp.f64 1/2) (*.f64 4 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 2) (log.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (tan.f64 x)))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (tan.f64 x))))) (sqrt.f64 (*.f64 2 (log.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (tan.f64 x) 2))))) (#(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 log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 (tan.f64 x))) 1/2))))) (#(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 exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 (tan.f64 x))) 1/3))))) (#(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 4 (log.f64 (tan.f64 x))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 4 (log.f64 (tan.f64 x))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) (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)) (pow.f64 (cbrt.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)))))
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x) (hypot.f64 1 (tan.f64 x))) 2)))))))

simplify83.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
818×fma-neg_binary64
476×unswap-sqr_binary64
396×distribute-lft-out_binary64
377×times-frac_binary64
263×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
065862
1162855
2404853
31355853
43862829
56719829
Stop Event
1×node limit
Counts
271 → 256
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 4)
(+.f64 (*.f64 4/3 (pow.f64 x 6)) (pow.f64 x 4))
(+.f64 (*.f64 4/3 (pow.f64 x 6)) (+.f64 (*.f64 6/5 (pow.f64 x 8)) (pow.f64 x 4)))
(+.f64 (*.f64 848/945 (pow.f64 x 10)) (+.f64 (*.f64 4/3 (pow.f64 x 6)) (+.f64 (*.f64 6/5 (pow.f64 x 8)) (pow.f64 x 4))))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
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))))
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))))
(+.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 x x (*.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))
(pow.f64 x 4)
(+.f64 (*.f64 4/3 (pow.f64 x 6)) (pow.f64 x 4))
(fma.f64 4/3 (pow.f64 x 6) (pow.f64 x 4))
(fma.f64 (pow.f64 x 6) 4/3 (pow.f64 x 4))
(+.f64 (*.f64 4/3 (pow.f64 x 6)) (+.f64 (*.f64 6/5 (pow.f64 x 8)) (pow.f64 x 4)))
(fma.f64 4/3 (pow.f64 x 6) (fma.f64 6/5 (pow.f64 x 8) (pow.f64 x 4)))
(fma.f64 (pow.f64 x 6) 4/3 (fma.f64 (pow.f64 x 8) 6/5 (pow.f64 x 4)))
(+.f64 (*.f64 848/945 (pow.f64 x 10)) (+.f64 (*.f64 4/3 (pow.f64 x 6)) (+.f64 (*.f64 6/5 (pow.f64 x 8)) (pow.f64 x 4))))
(fma.f64 848/945 (pow.f64 x 10) (fma.f64 4/3 (pow.f64 x 6) (fma.f64 6/5 (pow.f64 x 8) (pow.f64 x 4))))
(fma.f64 848/945 (pow.f64 x 10) (fma.f64 (pow.f64 x 6) 4/3 (fma.f64 (pow.f64 x 8) 6/5 (pow.f64 x 4))))
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)
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 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 4) -2/3 1) (fma.f64 17/45 (pow.f64 x 6) (*.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)))
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 2/3 (pow.f64 x 4) (fma.f64 x (*.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)))))
(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 x (*.f64 x -2) (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))) (+.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))) (+.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))) (+.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))) (+.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))) (+.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))) (+.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))) (+.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))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 49 to 29 computations (40.8% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))
2.0ms
x
@inf
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))
1.0ms
x
@0
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))
0.0ms
x
@0
(pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)
0.0ms
x
@0
(/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))

rewrite114.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
565×prod-diff_binary64
488×log-prod_binary64
297×pow-prod-down_binary64
288×pow2_binary64
206×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
124250
2300850
Stop Event
1×node limit
Counts
3 → 200
Calls
Call 1
Inputs
(-.f64 (pow.f64 (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))) 2)
(/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (/.f64 1 (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 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((x *.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (hypot.f64 1 (tan.f64 x)))) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (tan.f64 x)) -6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (tan.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 x) (neg.f64 (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))) 1))))))

simplify62.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
932×fma-def_binary64
618×unswap-sqr_binary64
541×times-frac_binary64
489×distribute-lft-out_binary64
229×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0631112
11641110
24041110
31395934
45143678
Stop Event
1×node limit
Counts
236 → 228
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))))))
(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)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.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 -4/45 (pow.f64 x 6) (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 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (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 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (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 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (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 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (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 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (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 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (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 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (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 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2))
(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))
(fma.f64 (pow.f64 x 4) -1/3 (*.f64 x x))
(+.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 (pow.f64 x 6) 2/45 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)))
(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 (pow.f64 x 6) 2/45 (*.f64 -1/315 (pow.f64 x 8)))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -1/315 -1/3) (fma.f64 (pow.f64 x 6) 2/45 (*.f64 x x)))
(/.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)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1))) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))

eval437.0ms (5.6%)

Compiler

Compiled 21967 to 14366 computations (34.6% saved)

prune158.0ms (2%)

Pruning

39 alts after pruning (36 fresh and 3 done)

PrunedKeptTotal
New88717904
Fresh241943
Picked101
Done134
Total91339952
Error
0.0b
Counts
952 → 39
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)
▶0.8b
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))
0.7b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)))
33.4b
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
0.4b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
30.3b
1
✓33.1b
(fma.f64 x (*.f64 x -2) 1)
0.7b
(+.f64 0 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))
▶27.3b
(*.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
0.6b
(/.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.6b
(fma.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (/.f64 1 (hypot.f64 1 (tan.f64 x))) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))
0.6b
(+.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (tan.f64 x) 1) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1))))
▶0.6b
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -6)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
0.4b
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
32.8b
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (exp.f64 (*.f64 (log.f64 (tan.f64 x)) 2))))
✓0.5b
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
0.9b
(+.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 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (tan.f64 x) 1) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1))))
0.6b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3))
0.6b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
32.8b
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.5b
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
33.4b
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
0.9b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) 3)
✓0.4b
(/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.5b
(/.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))
1.0b
(+.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 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2))) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))))
1.2b
(/.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 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
▶0.4b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.9b
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))) 3)
0.5b
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (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))))
0.6b
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2))
1.1b
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.6b
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))
0.5b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
17.3b
(/.f64 (pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.6b
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.9b
(+.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 (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))))
0.5b
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
Compiler

Compiled 1754 to 1264 computations (27.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 40 to 20 computations (50% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite57.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
813×pow1_binary64
756×add-log-exp_binary64
755×log1p-expm1-u_binary64
755×expm1-log1p-u_binary64
741×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01031
121726
2292426
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (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 (+.f64 1 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (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 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 1)))) (#(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 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (tan.f64 x)) (*.f64 (hypot.f64 1 (tan.f64 x)) (/.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)) (hypot.f64 1 (tan.f64 x))) (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (/.f64 1 (+.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 (hypot.f64 1 (tan.f64 x)) 1) (/.f64 (hypot.f64 1 (tan.f64 x)) (+.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 (hypot.f64 1 (tan.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (/.f64 (hypot.f64 1 (tan.f64 x)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (/.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 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (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) (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 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.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 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.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 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (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 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (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 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.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 (+.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 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(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 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) 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 (neg.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 (-.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 (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 (hypot.f64 1 (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 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 log1p.f64 (expm1.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 fma.f64 (tan.f64 x) (tan.f64 x) 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) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1)))))

simplify57.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
663×associate-/l*_binary64
398×associate-/r*_binary64
378×associate-/l/_binary64
364×fma-def_binary64
339×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037531
191509
2211507
3601507
42494507
57348507
Stop Event
1×node limit
Counts
89 → 82
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 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 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 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 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 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 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 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 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))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -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)))))
(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)))
(/.f64 (+.f64 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 (+.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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 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 -1 (/.f64 (pow.f64 (sin.f64 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 (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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 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 -1 (/.f64 (pow.f64 (sin.f64 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 (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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 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 -1 (/.f64 (pow.f64 (sin.f64 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 (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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 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 -1 (/.f64 (pow.f64 (sin.f64 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 (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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 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 -1 (/.f64 (pow.f64 (sin.f64 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 (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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 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 -1 (/.f64 (pow.f64 (sin.f64 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 (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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 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 -1 (/.f64 (pow.f64 (sin.f64 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 (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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 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 (pow.f64 x 6) 17/45 (*.f64 x x)) (fma.f64 2/3 (pow.f64 x 4) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x 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 2 expressions with local error:

NewErrorProgram
0.2b
(-.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)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite53.0ms (0.7%)

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
2250720
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 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 exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))))))

simplify53.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
028336
168334
2147334
3440334
41826334
57152334
Stop Event
1×node limit
Counts
46 → 43
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))
(+.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))
(/.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))

localize39.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 1 (pow.f64 (tan.f64 x) 2))
0.2b
(pow.f64 (tan.f64 x) 2)
✓0.3b
(cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -6))
✓0.7b
(pow.f64 (hypot.f64 1 (tan.f64 x)) -6)
Compiler

Compiled 48 to 32 computations (33.3% saved)

series9.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(pow.f64 (hypot.f64 1 (tan.f64 x)) -6)
2.0ms
x
@-inf
(pow.f64 (hypot.f64 1 (tan.f64 x)) -6)
1.0ms
x
@inf
(cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -6))
1.0ms
x
@-inf
(cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -6))
1.0ms
x
@0
(pow.f64 (hypot.f64 1 (tan.f64 x)) -6)

rewrite87.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
663×pow1_binary64
621×add-log-exp_binary64
620×log1p-expm1-u_binary64
620×expm1-log1p-u_binary64
606×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
116018
2171818
Stop Event
1×node limit
Counts
2 → 36
Calls
Call 1
Inputs
(pow.f64 (hypot.f64 1 (tan.f64 x)) -6)
(cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -12)) (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)) -3) (pow.f64 (hypot.f64 1 (tan.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) -6) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (tan.f64 x))) -6) (pow.f64 (sqrt.f64 (hypot.f64 1 (tan.f64 x))) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -12)) 1) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -12)) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -12)))) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -12)) (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) (sqrt.f64 (pow.f64 (hypot.f64 1 (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 cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -6) 3))))) (#(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 log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -6 (log.f64 (hypot.f64 1 (tan.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -12))) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -12)) 1/3) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -3) 1/3) (pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -3) 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 (pow.f64 (hypot.f64 1 (tan.f64 x)) -6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.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)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))))

simplify103.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
467×fma-def_binary64
412×unswap-sqr_binary64
379×associate-*l*_binary64
375×fma-neg_binary64
352×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042447
1100441
2248437
3816433
43453433
Stop Event
1×node limit
Counts
60 → 51
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -3 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -3 (pow.f64 x 2)) (*.f64 4 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -3 (pow.f64 x 2)) (+.f64 (*.f64 -47/15 (pow.f64 x 6)) (*.f64 4 (pow.f64 x 4)))))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
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 -3 (pow.f64 x 2)))
(+.f64 1 (*.f64 -3 (*.f64 x x)))
(fma.f64 -3 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -3 (pow.f64 x 2)) (*.f64 4 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -3 (*.f64 x x) (*.f64 4 (pow.f64 x 4))))
(fma.f64 -3 (*.f64 x x) (fma.f64 4 (pow.f64 x 4) 1))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 4) -3) 1)
(+.f64 1 (+.f64 (*.f64 -3 (pow.f64 x 2)) (+.f64 (*.f64 -47/15 (pow.f64 x 6)) (*.f64 4 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -3 (*.f64 x x) (fma.f64 -47/15 (pow.f64 x 6) (*.f64 4 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -3 (*.f64 x x) (fma.f64 4 (pow.f64 x 4) (*.f64 -47/15 (pow.f64 x 6)))))
(fma.f64 -47/15 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 4) -3) 1))
(fma.f64 -3 (*.f64 x x) (fma.f64 4 (pow.f64 x 4) (fma.f64 -47/15 (pow.f64 x 6) 1)))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
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 (pow.f64 x 4) 1/3)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/3 (*.f64 x (neg.f64 x))))
(-.f64 (fma.f64 (pow.f64 x 4) 1/3 1) (*.f64 x x))
(fma.f64 (pow.f64 x 4) 1/3 (-.f64 1 (*.f64 x x)))
(+.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 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 (*.f64 (pow.f64 x 6) -2/45)) (fma.f64 x x -1))
(-.f64 (fma.f64 (pow.f64 x 6) -2/45 (fma.f64 (pow.f64 x 4) 1/3 1)) (*.f64 x x))
(/.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))))

localize40.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (tan.f64 x) 4)
✓0.5b
(pow.f64 (hypot.f64 1 (tan.f64 x)) 4)
✓0.6b
(+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))
✓0.6b
(expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))
Compiler

Compiled 86 to 60 computations (30.2% saved)

series10.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))
2.0ms
x
@inf
(expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))
2.0ms
x
@-inf
(expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))
0.0ms
x
@0
(+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))
0.0ms
x
@-inf
(+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))

rewrite92.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
578×log-prod_binary64
435×prod-diff_binary64
333×pow2_binary64
249×fma-def_binary64
227×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01256
126953
2349553
Stop Event
1×node limit
Counts
3 → 130
Calls
Call 1
Inputs
(expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))
(+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))
(pow.f64 (hypot.f64 1 (tan.f64 x)) 4)
Outputs
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(hypot.f64 1 (tan.f64 x)) -4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -4))) 3)) (/.f64 1 (fma.f64 (expm1.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -4))) (-.f64 (expm1.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -4))) 1) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -4))) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -4))))) 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 8)) (cbrt.f64 (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 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 4) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (tan.f64 x))) 4) (pow.f64 (sqrt.f64 (hypot.f64 1 (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log1p.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1))))))

simplify70.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
852×times-frac_binary64
852×fma-neg_binary64
659×associate-*l*_binary64
561×associate-*r*_binary64
300×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0651028
11891022
24161014
313901009
47059816
Stop Event
1×node limit
Counts
166 → 159
Calls
Call 1
Inputs
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (*.f64 -2 (*.f64 (E.f64) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 -2 (*.f64 (E.f64) (pow.f64 x 2))) (*.f64 8/3 (*.f64 (E.f64) (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 -124/45 (*.f64 (E.f64) (pow.f64 x 6))) (+.f64 (*.f64 -2 (*.f64 (E.f64) (pow.f64 x 2))) (*.f64 8/3 (*.f64 (E.f64) (pow.f64 x 4)))))) 1)
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(exp.f64 1)
(+.f64 (*.f64 -2 (*.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1))
(+.f64 (*.f64 8/3 (*.f64 (exp.f64 1) (pow.f64 x 4))) (+.f64 (*.f64 -2 (*.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1)))
(+.f64 (*.f64 8/3 (*.f64 (exp.f64 1) (pow.f64 x 4))) (+.f64 (*.f64 -2 (*.f64 (exp.f64 1) (pow.f64 x 2))) (+.f64 (*.f64 -124/45 (*.f64 (exp.f64 1) (pow.f64 x 6))) (exp.f64 1))))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
1
(+.f64 (*.f64 2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 7/3 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 94/45 (pow.f64 x 6)) (*.f64 7/3 (pow.f64 x 4)))))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
Outputs
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (*.f64 -2 (*.f64 (E.f64) (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 -2 (*.f64 (E.f64) (*.f64 x x)) (E.f64)) -1)
(+.f64 (E.f64) (fma.f64 (*.f64 (E.f64) -2) (*.f64 x x) -1))
(fma.f64 (E.f64) (*.f64 x (*.f64 x -2)) (expm1.f64 1))
(fma.f64 (E.f64) (*.f64 -2 (*.f64 x x)) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 -2 (*.f64 (E.f64) (pow.f64 x 2))) (*.f64 8/3 (*.f64 (E.f64) (pow.f64 x 4))))) 1)
(+.f64 (fma.f64 8/3 (*.f64 (E.f64) (pow.f64 x 4)) (fma.f64 -2 (*.f64 (E.f64) (*.f64 x x)) (E.f64))) -1)
(+.f64 (fma.f64 8/3 (*.f64 (E.f64) (pow.f64 x 4)) (*.f64 (*.f64 x x) (*.f64 (E.f64) -2))) (expm1.f64 1))
(fma.f64 8/3 (*.f64 (E.f64) (pow.f64 x 4)) (fma.f64 (E.f64) (*.f64 x (*.f64 x -2)) (expm1.f64 1)))
(fma.f64 8/3 (*.f64 (E.f64) (pow.f64 x 4)) (fma.f64 (E.f64) (*.f64 -2 (*.f64 x x)) (expm1.f64 1)))
(fma.f64 (E.f64) (+.f64 (+.f64 1 (*.f64 -2 (*.f64 x x))) (*.f64 8/3 (pow.f64 x 4))) -1)
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 -124/45 (*.f64 (E.f64) (pow.f64 x 6))) (+.f64 (*.f64 -2 (*.f64 (E.f64) (pow.f64 x 2))) (*.f64 8/3 (*.f64 (E.f64) (pow.f64 x 4)))))) 1)
(+.f64 (+.f64 (E.f64) (fma.f64 -124/45 (*.f64 (E.f64) (pow.f64 x 6)) (fma.f64 -2 (*.f64 (E.f64) (*.f64 x x)) (*.f64 8/3 (*.f64 (E.f64) (pow.f64 x 4)))))) -1)
(+.f64 (fma.f64 -124/45 (*.f64 (E.f64) (pow.f64 x 6)) (fma.f64 8/3 (*.f64 (E.f64) (pow.f64 x 4)) (*.f64 (*.f64 x x) (*.f64 (E.f64) -2)))) (expm1.f64 1))
(+.f64 (*.f64 (E.f64) (+.f64 (*.f64 8/3 (pow.f64 x 4)) (*.f64 -124/45 (pow.f64 x 6)))) (fma.f64 (E.f64) (*.f64 x (*.f64 x -2)) (expm1.f64 1)))
(+.f64 (expm1.f64 1) (*.f64 (E.f64) (+.f64 (*.f64 8/3 (pow.f64 x 4)) (+.f64 (*.f64 -124/45 (pow.f64 x 6)) (*.f64 -2 (*.f64 x x))))))
(+.f64 (E.f64) (fma.f64 (E.f64) (+.f64 (*.f64 x (+.f64 (*.f64 -2 x) (*.f64 8/3 (pow.f64 x 3)))) (*.f64 -124/45 (pow.f64 x 6))) -1))
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(expm1.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(expm1.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(expm1.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(expm1.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(expm1.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(expm1.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(expm1.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1)
(expm1.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
(exp.f64 1)
(E.f64)
(+.f64 (*.f64 -2 (*.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1))
(fma.f64 -2 (*.f64 (E.f64) (*.f64 x x)) (E.f64))
(fma.f64 (E.f64) (*.f64 x (*.f64 x -2)) (E.f64))
(fma.f64 (*.f64 x x) (*.f64 (E.f64) -2) (E.f64))
(+.f64 (*.f64 8/3 (*.f64 (exp.f64 1) (pow.f64 x 4))) (+.f64 (*.f64 -2 (*.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1)))
(fma.f64 8/3 (*.f64 (E.f64) (pow.f64 x 4)) (fma.f64 -2 (*.f64 (E.f64) (*.f64 x x)) (E.f64)))
(fma.f64 (E.f64) (*.f64 8/3 (pow.f64 x 4)) (fma.f64 (E.f64) (*.f64 x (*.f64 x -2)) (E.f64)))
(*.f64 (E.f64) (+.f64 (+.f64 1 (*.f64 -2 (*.f64 x x))) (*.f64 8/3 (pow.f64 x 4))))
(+.f64 (*.f64 8/3 (*.f64 (exp.f64 1) (pow.f64 x 4))) (+.f64 (*.f64 -2 (*.f64 (exp.f64 1) (pow.f64 x 2))) (+.f64 (*.f64 -124/45 (*.f64 (exp.f64 1) (pow.f64 x 6))) (exp.f64 1))))
(fma.f64 8/3 (*.f64 (E.f64) (pow.f64 x 4)) (fma.f64 -2 (*.f64 (E.f64) (*.f64 x x)) (fma.f64 -124/45 (*.f64 (E.f64) (pow.f64 x 6)) (E.f64))))
(fma.f64 (E.f64) (*.f64 -124/45 (pow.f64 x 6)) (fma.f64 (E.f64) (*.f64 8/3 (pow.f64 x 4)) (fma.f64 (E.f64) (*.f64 x (*.f64 x -2)) (E.f64))))
(+.f64 (E.f64) (*.f64 (E.f64) (+.f64 (*.f64 8/3 (pow.f64 x 4)) (+.f64 (*.f64 -124/45 (pow.f64 x 6)) (*.f64 -2 (*.f64 x x))))))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
(exp.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)))
1
(+.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 2 (*.f64 x x) 1)
(fma.f64 x (*.f64 x 2) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 7/3 (pow.f64 x 4))))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 (pow.f64 x 4) 7/3)))
(fma.f64 2 (*.f64 x x) (fma.f64 (pow.f64 x 4) 7/3 1))
(fma.f64 x (*.f64 x 2) (fma.f64 (pow.f64 x 4) 7/3 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 94/45 (pow.f64 x 6)) (*.f64 7/3 (pow.f64 x 4)))))
(+.f64 (fma.f64 2 (*.f64 x x) 1) (fma.f64 94/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 7/3)))
(+.f64 (fma.f64 2 (*.f64 x x) 1) (fma.f64 (pow.f64 x 6) 94/45 (*.f64 (pow.f64 x 4) 7/3)))
(fma.f64 x (*.f64 x 2) (fma.f64 (pow.f64 x 4) 7/3 (fma.f64 (pow.f64 x 6) 94/45 1)))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)

eval392.0ms (5.1%)

Compiler

Compiled 16166 to 11504 computations (28.8% saved)

prune178.0ms (2.3%)

Pruning

58 alts after pruning (51 fresh and 7 done)

PrunedKeptTotal
New77128799
Fresh82331
Picked101
Done077
Total78058838
Error
0.0b
Counts
838 → 58
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)
0.7b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)))
27.3b
(*.f64 1 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))
0.6b
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶27.4b
(*.f64 1 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
27.3b
(*.f64 1 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))
27.8b
(*.f64 1 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))
0.8b
(log.f64 (exp.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -4))))
45.8b
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))
✓33.1b
(fma.f64 x (*.f64 x -2) 1)
27.3b
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))
0.7b
(+.f64 0 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))
✓27.3b
(*.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
0.6b
(/.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
29.2b
(*.f64 1 (expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
0.9b
(+.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 (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))))
0.6b
(fma.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (/.f64 1 (hypot.f64 1 (tan.f64 x))) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))
0.6b
(+.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (tan.f64 x) 1) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1))))
✓0.6b
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -6)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
27.8b
(*.f64 1 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
▶0.4b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
45.8b
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 (*.f64 6 (log.f64 (tan.f64 x))) 1/3))))
0.6b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3))
▶32.8b
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (exp.f64 (*.f64 (log.f64 (tan.f64 x)) 2))))
33.4b
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
0.4b
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
30.1b
(*.f64 1 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
▶33.3b
(*.f64 1 (-.f64 1 (*.f64 x x)))
✓0.5b
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
0.5b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
0.9b
(+.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 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (tan.f64 x) 1) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1))))
0.5b
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
33.4b
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
0.6b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
45.8b
(*.f64 1 (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 3/2) (sqrt.f64 (tan.f64 x)))))
32.8b
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
0.9b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) 3)
27.3b
(*.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3))
✓0.4b
(/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
30.3b
1
0.5b
(/.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))
1.0b
(+.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 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2))) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))))
27.3b
(*.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
1.2b
(/.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 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
✓0.4b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
27.3b
(*.f64 1 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))))
27.4b
(*.f64 1 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))
0.9b
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))) 3)
0.5b
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (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))))
27.3b
(*.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1))
27.4b
(*.f64 1 (-.f64 1 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))
▶0.6b
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2))
1.1b
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.6b
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))
27.3b
(*.f64 1 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
17.3b
(/.f64 (pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.5b
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Compiler

Compiled 2127 to 1603 computations (24.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 35 to 23 computations (34.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite99.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
633×unpow-prod-down_binary64
441×log-prod_binary64
376×prod-diff_binary64
249×pow2_binary64
188×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
120529
2271529
Stop Event
1×node limit
Counts
2 → 192
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(+.f64 (pow.f64 (tan.f64 x) 2) 1)
Outputs
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(-.f64 (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) 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 /.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (neg.f64 (+.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -1)) (neg.f64 (+.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 (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 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 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) 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 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (+.f64 (pow.f64 (tan.f64 x) 4) -1)) -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 (+.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 (hypot.f64 1 (tan.f64 x)) 6))))) (#(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 expm1.f64 (log1p.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))))))) (#(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 fma.f64 1 (pow.f64 (tan.f64 x) 2) 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 (pow.f64 (cbrt.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)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) 3) (sqrt.f64 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) 1)))))

simplify60.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
598×associate-/l*_binary64
441×associate-/r*_binary64
360×fma-def_binary64
351×*-commutative_binary64
332×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035515
189509
2204507
3581507
42440507
57496507
Stop Event
1×node limit
Counts
216 → 209
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))
(/.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 2/3 (pow.f64 x 4) (fma.f64 x x 1)) (*.f64 (pow.f64 x 6) 17/45))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x 1)))
(fma.f64 x x (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 2/3 (pow.f64 x 4) 1)))
(fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x (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)

localize6.0ms (0.1%)

Compiler

Compiled 18 to 9 computations (50% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 1 (pow.f64 (tan.f64 x) 2))
0.2b
(pow.f64 (tan.f64 x) 2)
✓0.4b
(exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
✓1.0b
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))
Compiler

Compiled 41 to 29 computations (29.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite59.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
733×pow1_binary64
681×add-log-exp_binary64
680×log1p-expm1-u_binary64
680×expm1-log1p-u_binary64
667×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
117320
2189320
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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 (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 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))) (/.f64 (pow.f64 (tan.f64 x) 6) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 4) (+.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 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.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 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (+.f64 1 (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 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (tan.f64 x) 2))) (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (tan.f64 x) 2)))) (-.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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 log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (E.f64) (exp.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)) (E.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (E.f64) (exp.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (E.f64)) (neg.f64 (exp.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 pow.f64 (exp.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 sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))))

simplify47.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
808×fma-neg_binary64
669×distribute-rgt-neg-in_binary64
620×distribute-lft-neg-in_binary64
603×fma-def_binary64
512×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039412
1101404
2258397
3895390
44119389
Stop Event
1×node limit
Counts
81 → 74
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)))
(exp.f64 1)
(+.f64 (*.f64 -1 (*.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1))
(+.f64 (*.f64 -1/6 (*.f64 (exp.f64 1) (pow.f64 x 4))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1)))
(+.f64 (*.f64 11/90 (*.f64 (exp.f64 1) (pow.f64 x 6))) (+.f64 (*.f64 -1/6 (*.f64 (exp.f64 1) (pow.f64 x 4))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1))))
(exp.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(exp.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(exp.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(exp.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(exp.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(exp.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(exp.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(exp.f64 (-.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))
(fma.f64 x (neg.f64 x) 1)
(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 -2/3 (pow.f64 x 4) 1) (*.f64 x x))
(fma.f64 -2/3 (pow.f64 x 4) (fma.f64 x (neg.f64 x) 1))
(-.f64 (*.f64 -2/3 (pow.f64 x 4)) (fma.f64 x x -1))
(+.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 (-.f64 (fma.f64 -2/3 (pow.f64 x 4) 1) (*.f64 x x)) (*.f64 -17/45 (pow.f64 x 6)))
(fma.f64 -2/3 (pow.f64 x 4) (-.f64 (fma.f64 -17/45 (pow.f64 x 6) 1) (*.f64 x x)))
(fma.f64 -17/45 (pow.f64 x 6) (-.f64 (*.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)))
(exp.f64 1)
(E.f64)
(+.f64 (*.f64 -1 (*.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1))
(fma.f64 -1 (*.f64 (*.f64 x x) (E.f64)) (E.f64))
(-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64))))
(*.f64 (fma.f64 x (neg.f64 x) 1) (E.f64))
(*.f64 (neg.f64 (fma.f64 x x -1)) (E.f64))
(+.f64 (*.f64 -1/6 (*.f64 (exp.f64 1) (pow.f64 x 4))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1)))
(fma.f64 -1/6 (*.f64 (pow.f64 x 4) (E.f64)) (fma.f64 -1 (*.f64 (*.f64 x x) (E.f64)) (E.f64)))
(fma.f64 -1/6 (*.f64 (pow.f64 x 4) (E.f64)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64)))))
(+.f64 (E.f64) (*.f64 (E.f64) (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 x x))))
(*.f64 (E.f64) (-.f64 (fma.f64 (pow.f64 x 4) -1/6 1) (*.f64 x x)))
(*.f64 (E.f64) (-.f64 (*.f64 (pow.f64 x 4) -1/6) (fma.f64 x x -1)))
(+.f64 (*.f64 11/90 (*.f64 (exp.f64 1) (pow.f64 x 6))) (+.f64 (*.f64 -1/6 (*.f64 (exp.f64 1) (pow.f64 x 4))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1))))
(fma.f64 11/90 (*.f64 (pow.f64 x 6) (E.f64)) (fma.f64 -1/6 (*.f64 (pow.f64 x 4) (E.f64)) (fma.f64 -1 (*.f64 (*.f64 x x) (E.f64)) (E.f64))))
(fma.f64 11/90 (*.f64 (pow.f64 x 6) (E.f64)) (fma.f64 -1/6 (*.f64 (pow.f64 x 4) (E.f64)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64))))))
(fma.f64 (pow.f64 x 6) (*.f64 (E.f64) 11/90) (+.f64 (E.f64) (*.f64 (E.f64) (-.f64 (*.f64 (pow.f64 x 4) -1/6) (*.f64 x x)))))
(+.f64 (E.f64) (*.f64 (E.f64) (-.f64 (fma.f64 (pow.f64 x 4) -1/6 (*.f64 (pow.f64 x 6) 11/90)) (*.f64 x x))))
(*.f64 (E.f64) (+.f64 (neg.f64 (fma.f64 x x -1)) (fma.f64 (pow.f64 x 4) -1/6 (*.f64 (pow.f64 x 6) 11/90))))
(exp.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(exp.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(exp.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(exp.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(exp.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(exp.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(exp.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(exp.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(hypot.f64 1 (tan.f64 x))
0.3b
(pow.f64 (hypot.f64 1 (tan.f64 x)) -2)
✓0.3b
(pow.f64 (sin.f64 x) 2)
✓0.4b
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2))
Compiler

Compiled 34 to 21 computations (38.2% saved)

series3.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite80.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
467×prod-diff_binary64
438×log-prod_binary64
341×exp-prod_binary64
275×pow2_binary64
267×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
123429
2273329
Stop Event
1×node limit
Counts
3 → 163
Calls
Call 1
Inputs
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(hypot.f64 1 (tan.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (sin.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 (sin.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) 1 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 x) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2)) (fma.f64 -1 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simplify58.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
704×fma-def_binary64
654×distribute-lft-out_binary64
648×distribute-rgt-out_binary64
623×associate-*l*_binary64
555×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052534
1122530
2295462
3902462
43995462
Stop Event
1×node limit
Counts
191 → 188
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)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.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))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4))))
(+.f64 (*.f64 61/720 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))))
(sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(sqrt.f64 (+.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 -4/45 (pow.f64 x 6) (fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 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)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 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)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 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)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 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)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 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)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 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)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 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)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 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)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) (pow.f64 (sin.f64 x) 2))
(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))
(fma.f64 (pow.f64 x 4) -1/3 (*.f64 x x))
(+.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 (pow.f64 x 6) 2/45 (*.f64 x x)))
(fma.f64 (pow.f64 x 6) 2/45 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)))
(fma.f64 (pow.f64 x 6) 2/45 (fma.f64 (pow.f64 x 4) -1/3 (*.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 (pow.f64 x 6) 2/45 (*.f64 x x))))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 x x (fma.f64 (pow.f64 x 6) 2/45 (*.f64 -1/315 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -1/315 -1/3) (*.f64 (pow.f64 x 6) 2/45)))
(fma.f64 x x (fma.f64 (pow.f64 x 4) -1/3 (fma.f64 (pow.f64 x 6) 2/45 (*.f64 -1/315 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) 1/2))
(fma.f64 (*.f64 x x) 1/2 1)
(fma.f64 x (*.f64 x 1/2) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 5/24)))
(+.f64 (fma.f64 (*.f64 x x) 1/2 1) (*.f64 (pow.f64 x 4) 5/24))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) 5/24 1))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 5/24 1/2) 1)
(+.f64 (*.f64 61/720 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))))
(fma.f64 61/720 (pow.f64 x 6) (+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 5/24))))
(+.f64 (fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 4) 5/24)) (fma.f64 (pow.f64 x 6) 61/720 1))
(fma.f64 (pow.f64 x 6) 61/720 (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) 5/24 1)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) 5/24 (fma.f64 (pow.f64 x 6) 61/720 1)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 6) 61/720 (fma.f64 (pow.f64 x 4) 5/24 1)))
(sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (exp.f64 (*.f64 (log.f64 (tan.f64 x)) 2))))
✓0.2b
(log.f64 (tan.f64 x))
0.4b
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1)
✓0.9b
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) 2))
Compiler

Compiled 54 to 26 computations (51.9% saved)

series52.0ms (0.7%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
36.0ms
x
@inf
(log.f64 (tan.f64 x))
13.0ms
x
@-inf
(log.f64 (tan.f64 x))
1.0ms
x
@0
(log.f64 (tan.f64 x))
0.0ms
x
@0
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) 2))
0.0ms
x
@0
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (exp.f64 (*.f64 (log.f64 (tan.f64 x)) 2))))

rewrite67.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
957×pow1_binary64
886×add-log-exp_binary64
885×log1p-expm1-u_binary64
885×expm1-log1p-u_binary64
123×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01233
124928
2330528
Stop Event
1×node limit
Counts
3 → 83
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) 2))
(log.f64 (tan.f64 x))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (exp.f64 (*.f64 (log.f64 (tan.f64 x)) 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (hypot.f64 1 (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 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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)) (cbrt.f64 (pow.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 -1 (pow.f64 (tan.f64 x) 2))))) (#(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) (cbrt.f64 (pow.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 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 (exp.f64 2) (log.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 (log.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (tan.f64 x)) 2)) 2)) (cbrt.f64 (*.f64 (log.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (tan.f64 x)) 2))) (sqrt.f64 (*.f64 (log.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (tan.f64 x) 2))))) (#(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 log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (tan.f64 x))) (log.f64 (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2))) (log.f64 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1) (log.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (sin.f64 x)) (log.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 x))) 2) (cbrt.f64 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (tan.f64 x))) (sqrt.f64 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (tan.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (tan.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (hypot.f64 1 (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 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 2)) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (tan.f64 x)) (*.f64 (hypot.f64 1 (tan.f64 x)) (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2) (hypot.f64 1 (tan.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (pow.f64 (hypot.f64 1 (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)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (/.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (/.f64 (hypot.f64 1 (tan.f64 x)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (/.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) (hypot.f64 1 (tan.f64 x))))))) (#(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) 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 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) (+.f64 1 (pow.f64 (tan.f64 x) 4))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) (+.f64 (pow.f64 (tan.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 3) (pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (pow.f64 (tan.f64 x) 2))))))))

simplify49.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
716×fma-def_binary64
657×distribute-lft-out_binary64
650×distribute-rgt-out_binary64
578×associate-*l*_binary64
461×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054656
1132638
2309638
3949638
44302638
Stop Event
1×node limit
Counts
119 → 109
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))
(log.f64 x)
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (log.f64 x))
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (+.f64 (*.f64 7/90 (pow.f64 x 4)) (log.f64 x)))
(+.f64 (*.f64 62/2835 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (+.f64 (*.f64 7/90 (pow.f64 x 4)) (log.f64 x))))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
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 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 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 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 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 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 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 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 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 17/45 (pow.f64 x 6) (fma.f64 62/315 (pow.f64 x 8) (*.f64 x x))))
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) (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))
(log.f64 x)
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (log.f64 x))
(fma.f64 1/3 (*.f64 x x) (log.f64 x))
(fma.f64 (*.f64 x x) 1/3 (log.f64 x))
(fma.f64 x (*.f64 x 1/3) (log.f64 x))
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (+.f64 (*.f64 7/90 (pow.f64 x 4)) (log.f64 x)))
(fma.f64 1/3 (*.f64 x x) (fma.f64 7/90 (pow.f64 x 4) (log.f64 x)))
(fma.f64 (*.f64 x x) 1/3 (fma.f64 (pow.f64 x 4) 7/90 (log.f64 x)))
(fma.f64 x (*.f64 x 1/3) (fma.f64 (pow.f64 x 4) 7/90 (log.f64 x)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 7/90 1/3) (log.f64 x))
(+.f64 (*.f64 62/2835 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (+.f64 (*.f64 7/90 (pow.f64 x 4)) (log.f64 x))))
(fma.f64 62/2835 (pow.f64 x 6) (fma.f64 1/3 (*.f64 x x) (fma.f64 7/90 (pow.f64 x 4) (log.f64 x))))
(fma.f64 (pow.f64 x 6) 62/2835 (fma.f64 (*.f64 x x) 1/3 (fma.f64 (pow.f64 x 4) 7/90 (log.f64 x))))
(fma.f64 x (*.f64 x 1/3) (fma.f64 (pow.f64 x 6) 62/2835 (fma.f64 (pow.f64 x 4) 7/90 (log.f64 x))))
(fma.f64 (pow.f64 x 4) 7/90 (fma.f64 (pow.f64 x 6) 62/2835 (fma.f64 (*.f64 x x) 1/3 (log.f64 x))))
(fma.f64 x (*.f64 x 1/3) (fma.f64 (pow.f64 x 4) 7/90 (fma.f64 (pow.f64 x 6) 62/2835 (log.f64 x))))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
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) (fma.f64 x (*.f64 x 2/3) -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)))))
(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) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 (pow.f64 x 6) -4/45 1))
(/.f64 (+.f64 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 (+.f64 1 (neg.f64 (/.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))) (+.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 -1 (/.f64 (pow.f64 (sin.f64 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 (neg.f64 (/.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))) (+.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 -1 (/.f64 (pow.f64 (sin.f64 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 (neg.f64 (/.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))) (+.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 -1 (/.f64 (pow.f64 (sin.f64 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 (neg.f64 (/.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))) (+.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 -1 (/.f64 (pow.f64 (sin.f64 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 (neg.f64 (/.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))) (+.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 -1 (/.f64 (pow.f64 (sin.f64 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 (neg.f64 (/.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))) (+.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 -1 (/.f64 (pow.f64 (sin.f64 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 (neg.f64 (/.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))) (+.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 -1 (/.f64 (pow.f64 (sin.f64 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 (neg.f64 (/.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))) (+.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))

eval426.0ms (5.5%)

Compiler

Compiled 20706 to 14304 computations (30.9% saved)

prune171.0ms (2.2%)

Pruning

65 alts after pruning (54 fresh and 11 done)

PrunedKeptTotal
New88625911
Fresh172946
Picked011
Done11011
Total90465969
Error
0.0b
Counts
969 → 65
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)
0.7b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)))
27.3b
(*.f64 1 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))
30.0b
(-.f64 1 (pow.f64 (sin.f64 x) 2))
0.6b
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
0.6b
(fma.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (/.f64 1 (hypot.f64 1 (tan.f64 x))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
✓27.4b
(*.f64 1 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
30.1b
(*.f64 1 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
27.3b
(*.f64 1 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))
0.9b
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2))) 3)
45.8b
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))
0.5b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) 1))
27.8b
(*.f64 1 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
27.8b
(*.f64 1 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))
0.8b
(log.f64 (exp.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -4))))
0.8b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
30.3b
1
✓33.1b
(fma.f64 x (*.f64 x -2) 1)
27.3b
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))
33.1b
(-.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (sin.f64 x) 2))
0.6b
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
0.7b
(+.f64 0 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))
✓27.3b
(*.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
0.6b
(/.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
29.2b
(*.f64 1 (expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
0.8b
(+.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 (/.f64 (tan.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (tan.f64 x) 1) (*.f64 (/.f64 (tan.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (tan.f64 x) 1))))
✓0.4b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
45.8b
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 (*.f64 6 (log.f64 (tan.f64 x))) 1/3))))
✓0.6b
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -6)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
0.5b
(/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
0.4b
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
✓32.8b
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (exp.f64 (*.f64 (log.f64 (tan.f64 x)) 2))))
✓33.3b
(*.f64 1 (-.f64 1 (*.f64 x x)))
✓0.5b
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
0.5b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
0.7b
(-.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -6)) (pow.f64 (sin.f64 x) 2))
33.4b
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
45.8b
(*.f64 1 (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 3/2) (sqrt.f64 (tan.f64 x)))))
32.8b
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
1.2b
(/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
0.5b
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
0.9b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) 3)
27.3b
(*.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3))
0.6b
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
0.5b
(/.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))
0.7b
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2))))
27.3b
(*.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
1.0b
(+.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 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2))) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))))
27.3b
(*.f64 1 (-.f64 (+.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
0.5b
(/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
✓0.4b
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
✓0.4b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
27.3b
(*.f64 1 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))))
0.5b
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (tan.f64 x) 4)) (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))))
27.4b
(*.f64 1 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))
1.1b
(+.f64 (fma.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) 1 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 5)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 5) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 5))))
33.4b
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
27.3b
(*.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1))
27.4b
(*.f64 1 (-.f64 1 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))
✓0.6b
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2))
0.6b
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
1.1b
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.6b
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))
27.3b
(*.f64 1 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
0.7b
(*.f64 (+.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (sin.f64 x)) (-.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (sin.f64 x)))
Compiler

Compiled 1099 to 853 computations (22.4% saved)

regimes346.0ms (4.5%)

Counts
120 → 1
Calls
Call 1
Inputs
1
1
1
(*.f64 1 (-.f64 1 (*.f64 x x)))
(fma.f64 x (*.f64 x -2) 1)
(-.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (sin.f64 x) 2))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
(*.f64 1 (-.f64 (+.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
(*.f64 1 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x)))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))
(*.f64 1 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))))
(*.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1))
(*.f64 1 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 (*.f64 6 (log.f64 (tan.f64 x))) 1/3))))
(*.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
(+.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 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(+.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 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))
(*.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3))
(*.f64 1 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))
(*.f64 1 (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 3/2) (sqrt.f64 (tan.f64 x)))))
(*.f64 1 (-.f64 1 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))
(-.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 (pow.f64 (tan.f64 x) 2) 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 (tan.f64 x) (tan.f64 x))))
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(*.f64 (/.f64 1 (+.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))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(/.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 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
(/.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)) (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 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) 1))
(/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
(+.f64 0 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -6)) (pow.f64 (sin.f64 x) 2))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -6)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
(/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 2)
(/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3))
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (exp.f64 (*.f64 (log.f64 (tan.f64 x)) 2))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3))
(/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3)
(/.f64 (pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (+.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (sin.f64 x)) (-.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (sin.f64 x)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2))))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2))) 3)
(log.f64 (exp.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -4))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) 3)
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) 3))
(fma.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (/.f64 1 (hypot.f64 1 (tan.f64 x))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (hypot.f64 1 (tan.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))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))) 3)
(fma.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (/.f64 1 (hypot.f64 1 (tan.f64 x))) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))
(/.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 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)))
(+.f64 (fma.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) 1 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 5)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 5) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 5))))
(+.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (tan.f64 x) 1) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1))))
(+.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (tan.f64 x) 1) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1))))
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (tan.f64 x) 4)) (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))))
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (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))))
(+.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 (/.f64 (tan.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (tan.f64 x) 1) (*.f64 (/.f64 (tan.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (tan.f64 x) 1))))
(+.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 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (tan.f64 x) 1) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1))))
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (*.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2))) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))))
(+.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 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2))) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))))
(+.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 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2))) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))))
(+.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 (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))))
Outputs
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
Calls

6 calls:

58.0ms
x
55.0ms
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
54.0ms
(tan.f64 x)
46.0ms
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
37.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b1(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b1(*.f64 (tan.f64 x) (tan.f64 x))
0.4b1(*.f64 (tan.f64 x) (tan.f64 x))
0.4b1(tan.f64 x)
Compiler

Compiled 2274 to 1488 computations (34.6% saved)

regimes186.0ms (2.4%)

Counts
59 → 1
Calls
Call 1
Inputs
1
1
1
(*.f64 1 (-.f64 1 (*.f64 x x)))
(fma.f64 x (*.f64 x -2) 1)
(-.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (sin.f64 x) 2))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
(*.f64 1 (-.f64 (+.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
(*.f64 1 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x)))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))
(*.f64 1 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))))
(*.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1))
(*.f64 1 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 (*.f64 6 (log.f64 (tan.f64 x))) 1/3))))
(*.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
(+.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 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(+.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 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))
(*.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3))
(*.f64 1 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))
(*.f64 1 (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 3/2) (sqrt.f64 (tan.f64 x)))))
(*.f64 1 (-.f64 1 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))
(-.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 (pow.f64 (tan.f64 x) 2) 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 (tan.f64 x) (tan.f64 x))))
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(*.f64 (/.f64 1 (+.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))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(/.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 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
(/.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)) (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 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) 1))
(/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
Outputs
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))
Calls

6 calls:

40.0ms
x
31.0ms
(tan.f64 x)
28.0ms
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
24.0ms
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
20.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b1(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b1(*.f64 (tan.f64 x) (tan.f64 x))
0.4b1(*.f64 (tan.f64 x) (tan.f64 x))
0.4b1(tan.f64 x)
Compiler

Compiled 733 to 508 computations (30.7% saved)

regimes215.0ms (2.8%)

Counts
53 → 1
Calls
Call 1
Inputs
1
1
1
(*.f64 1 (-.f64 1 (*.f64 x x)))
(fma.f64 x (*.f64 x -2) 1)
(-.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (sin.f64 x) 2))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
(*.f64 1 (-.f64 (+.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
(*.f64 1 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x)))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))
(*.f64 1 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))))
(*.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1))
(*.f64 1 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 (*.f64 6 (log.f64 (tan.f64 x))) 1/3))))
(*.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
(+.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 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(+.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 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))
(*.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3))
(*.f64 1 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))
(*.f64 1 (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 3/2) (sqrt.f64 (tan.f64 x)))))
(*.f64 1 (-.f64 1 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))
(-.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 (pow.f64 (tan.f64 x) 2) 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 (tan.f64 x) (tan.f64 x))))
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(*.f64 (/.f64 1 (+.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))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(/.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 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))
Outputs
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
Calls

6 calls:

59.0ms
(tan.f64 x)
40.0ms
x
25.0ms
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
21.0ms
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
18.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b1(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b1(*.f64 (tan.f64 x) (tan.f64 x))
0.4b1(*.f64 (tan.f64 x) (tan.f64 x))
0.4b1(tan.f64 x)
Compiler

Compiled 652 to 455 computations (30.2% saved)

regimes99.0ms (1.3%)

Counts
40 → 1
Calls
Call 1
Inputs
1
1
1
(*.f64 1 (-.f64 1 (*.f64 x x)))
(fma.f64 x (*.f64 x -2) 1)
(-.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (sin.f64 x) 2))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
(*.f64 1 (-.f64 (+.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
(*.f64 1 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x)))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))
(*.f64 1 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))))
(*.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1))
(*.f64 1 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 (*.f64 6 (log.f64 (tan.f64 x))) 1/3))))
(*.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
(+.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 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(+.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 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))
(*.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3))
(*.f64 1 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))
(*.f64 1 (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 3/2) (sqrt.f64 (tan.f64 x)))))
(*.f64 1 (-.f64 1 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))
(-.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

5 calls:

21.0ms
(tan.f64 x)
19.0ms
x
19.0ms
(tan.f64 x)
14.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
13.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
ErrorSegmentsBranch
0.6b1x
0.6b1(*.f64 (tan.f64 x) (tan.f64 x))
0.6b1(*.f64 (tan.f64 x) (tan.f64 x))
0.6b1(tan.f64 x)
0.6b1(tan.f64 x)
Compiler

Compiled 430 to 311 computations (27.7% saved)

regimes75.0ms (1%)

Counts
39 → 1
Calls
Call 1
Inputs
1
1
1
(*.f64 1 (-.f64 1 (*.f64 x x)))
(fma.f64 x (*.f64 x -2) 1)
(-.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (sin.f64 x) 2))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
(*.f64 1 (-.f64 (+.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
(*.f64 1 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x)))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))
(*.f64 1 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))))
(*.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1))
(*.f64 1 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 (*.f64 6 (log.f64 (tan.f64 x))) 1/3))))
(*.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
(+.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 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(+.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 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))
(*.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3))
(*.f64 1 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))
(*.f64 1 (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 3/2) (sqrt.f64 (tan.f64 x)))))
(*.f64 1 (-.f64 1 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))
Outputs
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))
Calls

4 calls:

19.0ms
x
18.0ms
(tan.f64 x)
12.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
12.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
ErrorSegmentsBranch
27.3b1x
27.3b1(*.f64 (tan.f64 x) (tan.f64 x))
27.3b1(*.f64 (tan.f64 x) (tan.f64 x))
27.3b1(tan.f64 x)
Compiler

Compiled 414 to 300 computations (27.5% saved)

regimes67.0ms (0.9%)

Counts
34 → 1
Calls
Call 1
Inputs
1
1
1
(*.f64 1 (-.f64 1 (*.f64 x x)))
(fma.f64 x (*.f64 x -2) 1)
(-.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (sin.f64 x) 2))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1)
(*.f64 1 (-.f64 (+.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1))
(*.f64 1 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x)))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))
(*.f64 1 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))))
(*.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1))
(*.f64 1 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))
(*.f64 1 (-.f64 1 (exp.f64 (*.f64 (*.f64 6 (log.f64 (tan.f64 x))) 1/3))))
(*.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))
(+.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 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(+.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 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(*.f64 1 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))
Outputs
(*.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
Calls

4 calls:

18.0ms
x
16.0ms
(tan.f64 x)
11.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
11.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
ErrorSegmentsBranch
27.3b1x
27.3b1(*.f64 (tan.f64 x) (tan.f64 x))
27.3b1(*.f64 (tan.f64 x) (tan.f64 x))
27.3b1(tan.f64 x)
Compiler

Compiled 356 to 254 computations (28.7% saved)

regimes6.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
1
1
1
(*.f64 1 (-.f64 1 (*.f64 x x)))
(fma.f64 x (*.f64 x -2) 1)
(-.f64 1 (pow.f64 (sin.f64 x) 2))
Outputs
(-.f64 1 (pow.f64 (sin.f64 x) 2))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
30.0b1x
Compiler

Compiled 25 to 19 computations (24% saved)

regimes6.0ms (0.1%)

Accuracy

Total -3.4b remaining (-11.1%)

Threshold costs -3.4b (-11.1%)

Counts
5 → 1
Calls
Call 1
Inputs
1
1
1
(*.f64 1 (-.f64 1 (*.f64 x x)))
(fma.f64 x (*.f64 x -2) 1)
Outputs
1
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
30.3b1x
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
7×+-commutative_binary64
6×sub-neg_binary64
5×*-commutative_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025115
138115
247115
352115
454115
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.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 (pow.f64 (tan.f64 x) 2) 1))
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (sin.f64 x) 2))
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))
(*.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (pow.f64 (sin.f64 x) 2))
1
Outputs
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.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 (pow.f64 (tan.f64 x) 2) 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))
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3))
(*.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
(-.f64 1 (pow.f64 (tan.f64 x) 2))
(-.f64 1 (pow.f64 (sin.f64 x) 2))
1
Compiler

Compiled 83 to 65 computations (21.7% saved)

soundness0.0ms (0%)

end76.0ms (1%)

Compiler

Compiled 76 to 52 computations (31.6% saved)

Profiling

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