Details

Time bar (total: 11.6s)

analyze461.0ms (4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
0%0%100%0%0%0%0%4
0%0%100%0%0%0%0%5
0%0%100%0%0%0%0%6
0%0%100%0%0%0%0%7
0%0%100%0%0%0%0%8
0%0%100%0%0%0%0%9
0%0%100%0%0%0%0%10
0%0%100%0%0%0%0%11
0%0%100%0%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample7.7s (66%)

Results
5.0s1991×body2048valid
1.7s3119×body1024valid
485.0ms1599×body512valid
315.0ms1455×body256valid
106.0ms92×body4096valid
Bogosity

preprocess115.0ms (1%)

Algorithm
2×egg-herbie
Rules
583×fma-neg_binary64
430×fma-def_binary64
418×div-sub_binary64
334×times-frac_binary64
156×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11414
22414
34114
47514
513014
626014
754614
8142014
9256614
10339214
11375714
12388614
13391314
14392314
15392714
16392714
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify99.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
583×fma-neg_binary64
430×fma-def_binary64
418×div-sub_binary64
334×times-frac_binary64
156×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11414
22414
34114
47514
513014
626014
754614
8142014
9256614
10339214
11375714
12388614
13391314
14392314
15392714
16392714
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

eval0.0ms (0%)

Compiler

Compiled 19 to 9 computations (52.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
32.2b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.2b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 10 to 6 computations (40% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(tan.f64 x)
✓0.0b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓1.7b
(-.f64 (tan.f64 x) x)
✓1.7b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 23 to 6 computations (73.9% saved)

series13.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(tan.f64 x)
1.0ms
x
@inf
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
1.0ms
x
@-inf
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
1.0ms
x
@0
(-.f64 (sin.f64 x) x)
1.0ms
x
@-inf
(-.f64 (tan.f64 x) x)

rewrite151.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
990×prod-diff_binary64
472×log-prod_binary64
339×fma-def_binary64
251×pow2_binary64
227×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
116929
2274529
Stop Event
1×node limit
Counts
4 → 446
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) x)
(-.f64 (tan.f64 x) x)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(tan.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (cbrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (sin.f64 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (neg.f64 x) 2)) (-.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sin.f64 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sin.f64 x)) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) 1 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 x) x) 1 (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 x) x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 x) x) 1 (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sin.f64 x) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 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x)) (sqrt.f64 (-.f64 (sin.f64 x) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (+.f64 (neg.f64 x) x))))) 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(cbrt.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) (sqrt.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 (tan.f64 x) x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 (tan.f64 x) x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1))))))

simplify224.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
377×associate-+r+_binary64
368×associate-+l+_binary64
330×fma-def_binary64
288×fma-udef_binary64
280×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100216834
1233513030
Stop Event
1×node limit
Counts
494 → 619
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (sin.f64 x) (neg.f64 x))
(+.f64 (sin.f64 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (sin.f64 x) x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 -1 x x))
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) (sin.f64 x))
(+.f64 0 (-.f64 (sin.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))
(*.f64 (-.f64 (sin.f64 x) x) 1)
(*.f64 1 (-.f64 (sin.f64 x) x))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 x (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (sin.f64 x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (neg.f64 x) 2)) (-.f64 (sin.f64 x) (neg.f64 x)))
(pow.f64 (-.f64 (sin.f64 x) x) 1)
(pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2)
(pow.f64 (/.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 x) x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (exp.f64 x)))
(log.f64 (/.f64 (exp.f64 (sin.f64 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (exp.f64 (neg.f64 x))))
(log.f64 (*.f64 (exp.f64 (sin.f64 x)) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (sin.f64 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (sin.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 x) x)))
(exp.f64 (log.f64 (-.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 x) x)) 1))
(fma.f64 (sin.f64 x) 1 (neg.f64 x))
(fma.f64 (sin.f64 x) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 (-.f64 (sin.f64 x) x) 1 (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (sin.f64 x) x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (sin.f64 x) x) 1 (+.f64 (neg.f64 x) x))
(fma.f64 1 (sin.f64 x) (neg.f64 x))
(fma.f64 1 (sin.f64 x) (*.f64 (neg.f64 x) 1))
(fma.f64 1 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 x) 1 x))
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(log1p.f64 (expm1.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1))
Outputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/362880 (pow.f64 x 9) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 5) 2/15))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15)))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 5) 2/15)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 (pow.f64 x 5) 2/15))))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 9) 62/2835))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -1/2))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(-.f64 (+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(fma.f64 1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) 1/3 x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (sin.f64 x) (neg.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 (neg.f64 x) 1))
(-.f64 (sin.f64 x) x)
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 -1 x x))
(+.f64 x (-.f64 (-.f64 (sin.f64 x) x) x))
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 -1 x x))
(+.f64 x (-.f64 (-.f64 (sin.f64 x) x) x))
(+.f64 (-.f64 (sin.f64 x) x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 -1 x x))
(+.f64 x (-.f64 (-.f64 (sin.f64 x) x) x))
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 -1 x x))
(+.f64 x (-.f64 (-.f64 (sin.f64 x) x) x))
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 -1 x x))
(+.f64 x (-.f64 (-.f64 (sin.f64 x) x) x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 0 (-.f64 (sin.f64 x) x))
(-.f64 (sin.f64 x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))
(*.f64 (-.f64 (sin.f64 x) x) 1)
(-.f64 (sin.f64 x) x)
(*.f64 1 (-.f64 (sin.f64 x) x))
(-.f64 (sin.f64 x) x)
(*.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))
(-.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(-.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))
(-.f64 (sin.f64 x) x)
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 x (sin.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 1 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 x (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 x (sin.f64 x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (sin.f64 x))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 x (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (sin.f64 x) (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (neg.f64 x) 2)) (-.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 x (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 x) x) 1)
(-.f64 (sin.f64 x) x)
(pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2) 1/2)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2))
(fabs.f64 (-.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) 1/3)
(-.f64 (sin.f64 x) x)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 3)
(-.f64 (sin.f64 x) x)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2)
(-.f64 (sin.f64 x) x)
(pow.f64 (/.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) -1)
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) -1)
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 x (sin.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2))
(fabs.f64 (-.f64 (sin.f64 x) x))
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x)))) (/.f64 x (-.f64 (tan.f64 x) x)))
(fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x)))) (/.f64 x (-.f64 (tan.f64 x) x)))
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))) (/.f64 x (-.f64 (tan.f64 x) x)))
(fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(-.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2))) (/.f64 x (-.f64 (tan.f64 x) x)))
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(+.f64 0 (tan.f64 x))
(tan.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)
(tan.f64 x)
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 (tan.f64 x) 1)
(tan.f64 x)
(*.f64 1 (tan.f64 x))
(tan.f64 x)
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(tan.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(tan.f64 x)
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(pow.f64 (tan.f64 x) 1)
(tan.f64 x)
(pow.f64 (pow.f64 (tan.f64 x) 2) 1/2)
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(fabs.f64 (tan.f64 x))
(pow.f64 (cbrt.f64 (tan.f64 x)) 3)
(tan.f64 x)
(pow.f64 (sqrt.f64 (tan.f64 x)) 2)
(tan.f64 x)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(tan.f64 x)
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1)
(/.f64 (sin.f64 x) (cos.f64 x))
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(fabs.f64 (tan.f64 x))
(log.f64 (exp.f64 (tan.f64 x)))
(tan.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))
(tan.f64 x)
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(tan.f64 x)
(expm1.f64 (log1p.f64 (tan.f64 x)))
(tan.f64 x)
(log1p.f64 (expm1.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1))
(tan.f64 x)

eval279.0ms (2.4%)

Compiler

Compiled 21459 to 6690 computations (68.8% saved)

prune148.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New6136619
Fresh000
Picked011
Done000
Total6137620
Error
0b
Counts
620 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.6b
(fma.f64 9/40 (*.f64 x x) -1/2)
✓32.2b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
▶33.1b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
▶30.6b
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
▶32.3b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
32.7b
1
31.2b
-1/2
Compiler

Compiled 49 to 35 computations (28.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (-.f64 (tan.f64 x) x))
✓0.1b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
1.7b
(-.f64 (tan.f64 x) x)
1.7b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 32 to 11 computations (65.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite55.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
765×prod-diff_binary64
484×log-prod_binary64
330×fma-def_binary64
268×pow2_binary64
186×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
120023
2288423
Stop Event
1×node limit
Counts
2 → 83
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 1 (-.f64 (tan.f64 x) x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (pow.f64 (-.f64 (tan.f64 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 (tan.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))) 1))))))

simplify101.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
565×distribute-rgt-in_binary64
545×distribute-lft-in_binary64
307×unswap-sqr_binary64
287×associate-/l/_binary64
219×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02882184
18082057
229672019
Stop Event
1×node limit
Counts
107 → 144
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(/.f64 3 (pow.f64 x 3))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/175 x) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/175 x) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 -2/7875 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(+.f64 0 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
(+.f64 (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1)
(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (-.f64 (tan.f64 x) x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (*.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (+.f64 x (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) 1) (*.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) 1) (*.f64 (+.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) -1) (*.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) -1) (*.f64 (+.f64 x (sin.f64 x)) (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) 1) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 -1 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 x (sin.f64 x)))
(/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (+.f64 x (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) -1) (neg.f64 (-.f64 (tan.f64 x) x)))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)
(pow.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3) (pow.f64 (-.f64 (sin.f64 x) x) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) -3)) 1/3)
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3) (pow.f64 (-.f64 (sin.f64 x) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) -3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1))
(fma.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(+.f64 0 (/.f64 1 (-.f64 (tan.f64 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (pow.f64 (-.f64 (tan.f64 x) x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
(pow.f64 (-.f64 (tan.f64 x) x) -1)
(pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) -1/3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -2)
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (-.f64 (tan.f64 x) x))) -1)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 x) x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))) 1))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(+.f64 -1/2 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))))
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (fma.f64 27/112000 (pow.f64 x 6) -1/2))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (-.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))))
(/.f64 3 (pow.f64 x 3))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 6/5 x))
(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -6/5 x))
(-.f64 (+.f64 (*.f64 -1/175 x) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (/.f64 6/5 x))
(+.f64 (fma.f64 x -1/175 (/.f64 3 (pow.f64 x 3))) (/.f64 -6/5 x))
(+.f64 (/.f64 3 (pow.f64 x 3)) (fma.f64 x -1/175 (/.f64 -6/5 x)))
(-.f64 (+.f64 (*.f64 -1/175 x) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 -2/7875 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (*.f64 (pow.f64 x 3) -2/7875)) (/.f64 6/5 x))
(+.f64 (fma.f64 x -1/175 (fma.f64 (pow.f64 x 3) -2/7875 (/.f64 3 (pow.f64 x 3)))) (/.f64 -6/5 x))
(+.f64 (fma.f64 (pow.f64 x 3) -2/7875 (/.f64 3 (pow.f64 x 3))) (fma.f64 x -1/175 (/.f64 -6/5 x)))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(fma.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))) (/.f64 1 x))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))) (/.f64 -1 x))
(fma.f64 -1 (+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 4))) (/.f64 -1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(fma.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))) (/.f64 1 x))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))) (/.f64 -1 x))
(fma.f64 -1 (+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 4))) (/.f64 -1 x))
(+.f64 0 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (-.f64 (tan.f64 x) x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (-.f64 (tan.f64 x) x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (*.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (+.f64 x (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) 1) (*.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (-.f64 (tan.f64 x) x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) 1) (*.f64 (+.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) -1) (*.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (-.f64 (tan.f64 x) x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) -1) (*.f64 (+.f64 x (sin.f64 x)) (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) 1) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (*.f64 -1 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (-.f64 (tan.f64 x) x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 x (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (-.f64 (tan.f64 x) x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (+.f64 x (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) -1) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1/2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)) 1/3)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (*.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3) (pow.f64 (-.f64 (sin.f64 x) x) 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) -3)))
(pow.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) -3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) -3)))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3) (pow.f64 (-.f64 (sin.f64 x) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) -3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) -3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(fma.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(fma.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 0 (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 1 (-.f64 (tan.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) 1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (pow.f64 (-.f64 (tan.f64 x) x) -1/2))
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))
(/.f64 (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(pow.f64 (-.f64 (tan.f64 x) x) -1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) -1/6) (pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) -1/6))
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2) 1/2)
(/.f64 1 (-.f64 (tan.f64 x) x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)
(/.f64 1 (-.f64 (tan.f64 x) x))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -2)
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) 2)
(/.f64 1 (-.f64 (tan.f64 x) x))
(pow.f64 (neg.f64 (neg.f64 (-.f64 (tan.f64 x) x))) -1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2))
(/.f64 1 (-.f64 (tan.f64 x) x))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(exp.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 x) x)) -1))
(/.f64 1 (-.f64 (tan.f64 x) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))) 1))
(/.f64 1 (-.f64 (tan.f64 x) x))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 9/40 (pow.f64 x 2))
Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 9/40 (pow.f64 x 2))
0.0ms
x
@inf
(*.f64 9/40 (pow.f64 x 2))
0.0ms
x
@-inf
(*.f64 9/40 (pow.f64 x 2))

rewrite38.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
480×pow1_binary64
469×add-sqr-sqrt_binary64
458×*-un-lft-identity_binary64
446×add-log-exp_binary64
446×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11247
212697
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 9/40 (pow.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))))))

simplify38.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
986×log-prod_binary64
542×distribute-rgt-in_binary64
532×distribute-lft-in_binary64
393×associate-*l*_binary64
342×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034143
186110
231177
3209677
4675777
Stop Event
1×node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1)
(pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))
(log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))
Outputs
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1)
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 x)
✓0.0b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
1.7b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
724×pow1_binary64
676×add-log-exp_binary64
675×log1p-expm1-u_binary64
675×expm1-log1p-u_binary64
661×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
11439
223349
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 x (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 (neg.f64 (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))))

simplify50.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
466×times-frac_binary64
411×associate-/l*_binary64
390×log-prod_binary64
344×log-div_binary64
265×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0134859
1358763
21181670
35493664
Stop Event
1×node limit
Counts
50 → 73
Calls
Call 1
Inputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(-.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 x (tan.f64 x)))) 1)
(-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))
(*.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))
(*.f64 x (/.f64 1 (+.f64 (neg.f64 (tan.f64 x)) x)))
(*.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(*.f64 1 (/.f64 x (+.f64 x (tan.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)
(*.f64 -1 (/.f64 x (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))
(pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)
(pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1)
(neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
Outputs
(/.f64 -3 (pow.f64 x 2))
(/.f64 -3 (*.f64 x x))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 6/5 (/.f64 3 (*.f64 x x)))
(+.f64 6/5 (/.f64 -3 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (*.f64 x x) 1/175 6/5) (/.f64 -3 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (*.f64 2/7875 (pow.f64 x 4))) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (*.f64 x x) 1/175 (fma.f64 2/7875 (pow.f64 x 4) 6/5)) (/.f64 -3 (*.f64 x x)))
(+.f64 (fma.f64 (*.f64 x x) 1/175 6/5) (fma.f64 2/7875 (pow.f64 x 4) (/.f64 -3 (*.f64 x x))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 3) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 3) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))))
(-.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(-.f64 (+.f64 1 (/.f64 x (+.f64 x (tan.f64 x)))) 1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(*.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 x (/.f64 1 (+.f64 (neg.f64 (tan.f64 x)) x)))
(/.f64 (*.f64 x 1) (+.f64 x (neg.f64 (tan.f64 x))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 1 (/.f64 x (+.f64 x (tan.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 -1 (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))
(exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (+.f64 x (tan.f64 x))) 0)
(/.f64 x (+.f64 x (tan.f64 x)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 9/40 (*.f64 x x) -1/2)
Compiler

Compiled 13 to 7 computations (46.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(fma.f64 9/40 (*.f64 x x) -1/2)
0.0ms
x
@0
(fma.f64 9/40 (*.f64 x x) -1/2)
0.0ms
x
@-inf
(fma.f64 9/40 (*.f64 x x) -1/2)

rewrite38.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
505×pow1_binary64
496×add-sqr-sqrt_binary64
472×add-log-exp_binary64
472×log1p-expm1-u_binary64
472×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11228
213078
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 9/40 (*.f64 x x) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9/40 (*.f64 x x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) -1/8) (+.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x))) (-.f64 1/4 (*.f64 (*.f64 9/40 (*.f64 x x)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x))) 1/4) (-.f64 (*.f64 9/40 (*.f64 x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))))

simplify33.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
919×times-frac_binary64
746×fma-def_binary64
592×distribute-rgt-in_binary64
402×associate-*l*_binary64
331×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057308
1142287
2554284
33172282
Stop Event
1×node limit
Counts
33 → 32
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(+.f64 -1/2 (*.f64 9/40 (*.f64 x x)))
(+.f64 (*.f64 9/40 (*.f64 x x)) -1/2)
(+.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) 1) -1/2)
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(*.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2))
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) -1/8) (+.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x))) (-.f64 1/4 (*.f64 (*.f64 9/40 (*.f64 x x)) -1/2))))
(/.f64 (-.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x))) 1/4) (-.f64 (*.f64 9/40 (*.f64 x x)) -1/2))
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(+.f64 -1/2 (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(+.f64 (*.f64 9/40 (*.f64 x x)) -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(+.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) 1) -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2))
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (+.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) -1/8) (+.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x))) (-.f64 1/4 (*.f64 (*.f64 9/40 (*.f64 x x)) -1/2))))
(/.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) -1/8) (+.f64 (*.f64 81/1600 (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 1/4 (*.f64 -1/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (fma.f64 729/64000 (pow.f64 (*.f64 x x) 3) -1/8) (-.f64 (fma.f64 81/1600 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x x) -9/80)))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (-.f64 (fma.f64 81/1600 (pow.f64 x 4) 1/4) (*.f64 x (*.f64 -9/80 x))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 x (*.f64 9/80 x) (fma.f64 81/1600 (pow.f64 x 4) 1/4)))
(/.f64 (-.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x))) 1/4) (-.f64 (*.f64 9/40 (*.f64 x x)) -1/2))
(/.f64 (+.f64 (*.f64 81/1600 (*.f64 (*.f64 x x) (*.f64 x x))) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2))
(/.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2))
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(fma.f64 9/40 (*.f64 x x) -1/2)
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)
(fma.f64 9/40 (*.f64 x x) -1/2)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3)
(fma.f64 9/40 (*.f64 x x) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))
(fma.f64 9/40 (*.f64 x x) -1/2)
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))
(fma.f64 9/40 (*.f64 x x) -1/2)
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)

eval201.0ms (1.7%)

Compiler

Compiled 11677 to 4749 computations (59.3% saved)

prune120.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New6784682
Fresh022
Picked101
Done224
Total6818689
Error
0b
Counts
689 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.2b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
▶31.1b
(/.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) -1/8) (+.f64 (*.f64 81/1600 (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 1/4 (*.f64 -1/2 (*.f64 9/40 (*.f64 x x))))))
▶33.1b
(/.f64 x (-.f64 x (tan.f64 x)))
▶30.6b
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
✓32.3b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
▶62.2b
(*.f64 9/40 (*.f64 x x))
32.7b
1
31.2b
-1/2
Compiler

Compiled 77 to 51 computations (33.8% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 9/40 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 9/40 (*.f64 x x))
0.0ms
x
@inf
(*.f64 9/40 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 9/40 (*.f64 x x))

rewrite36.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
432×pow1_binary64
421×add-sqr-sqrt_binary64
411×*-un-lft-identity_binary64
402×add-log-exp_binary64
402×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11027
211487
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 9/40 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 81/1600 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))))))

simplify41.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1079×log-prod_binary64
425×associate-*l*_binary64
382×associate-*r*_binary64
319×associate-+l+_binary64
306×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046216
1102206
2360191
32981191
46250191
Stop Event
1×node limit
Counts
26 → 18
Calls
Call 1
Inputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(+.f64 0 (*.f64 9/40 (*.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1)
(pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)
(sqrt.f64 (*.f64 81/1600 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))
Outputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(+.f64 0 (*.f64 9/40 (*.f64 x x)))
(*.f64 9/40 (*.f64 x x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))
(*.f64 9/40 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)
(*.f64 9/40 (*.f64 x x))
(sqrt.f64 (*.f64 81/1600 (pow.f64 x 4)))
(*.f64 9/40 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))
(*.f64 9/40 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))
(*.f64 9/40 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))
(*.f64 9/40 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))
(*.f64 9/40 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))
(*.f64 9/40 (*.f64 x x))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 9/40 (*.f64 x x))
Compiler

Compiled 19 to 10 computations (47.4% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 x)
✓0.0b
(/.f64 x (-.f64 x (tan.f64 x)))
✓1.7b
(-.f64 x (tan.f64 x))
Compiler

Compiled 14 to 4 computations (71.4% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite49.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
762×pow1_binary64
712×add-log-exp_binary64
712×log1p-expm1-u_binary64
712×expm1-log1p-u_binary64
697×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
111915
2184215
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(-.f64 x (tan.f64 x))
(/.f64 x (-.f64 x (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2) (cbrt.f64 (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (tan.f64 x))) (sqrt.f64 (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 x (neg.f64 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 x (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (tan.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (tan.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 x (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))))

simplify45.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
717×associate-/l*_binary64
671×fma-def_binary64
479×unswap-sqr_binary64
390×associate-*l/_binary64
196×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02171291
15751175
220661076
Stop Event
1×node limit
Counts
92 → 113
Calls
Call 1
Inputs
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5))))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -62/2835 (pow.f64 x 9)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 x (neg.f64 (tan.f64 x)))
(+.f64 x (*.f64 (neg.f64 (tan.f64 x)) 1))
(+.f64 (-.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (-.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(+.f64 (-.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (neg.f64 (tan.f64 x)) x)
(*.f64 (-.f64 x (tan.f64 x)) 1)
(*.f64 1 (-.f64 x (tan.f64 x)))
(*.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2) (cbrt.f64 (-.f64 x (tan.f64 x))))
(*.f64 (sqrt.f64 (-.f64 x (tan.f64 x))) (sqrt.f64 (-.f64 x (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (+.f64 x (tan.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 x (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 x (neg.f64 (tan.f64 x))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 x (neg.f64 (tan.f64 x))))
(pow.f64 (-.f64 x (tan.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 x (tan.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (tan.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 x (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 x (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 x (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 x (tan.f64 x))))
(fma.f64 1 x (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (tan.f64 x)))
(-.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 1)
(*.f64 x (/.f64 1 (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(*.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 x (tan.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 x (tan.f64 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))) (+.f64 x (tan.f64 x)))
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2)
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) x) -1)
(neg.f64 (/.f64 x (neg.f64 (-.f64 x (tan.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 x (tan.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
Outputs
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5))))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -2/15 (pow.f64 x 5))))
(fma.f64 -2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))
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(*.f64 (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(*.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 x (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2))))
(*.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))) (+.f64 x (tan.f64 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 3)
(+.f64 1 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2)
(+.f64 1 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) x) -1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(neg.f64 (/.f64 x (neg.f64 (-.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))
(+.f64 1 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(log.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3))
(+.f64 1 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 x (tan.f64 x)) 3)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(exp.f64 (log.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 81/1600 (*.f64 (*.f64 x x) (*.f64 x x)))
✓0.1b
(pow.f64 (*.f64 x x) 3)
0.2b
(*.f64 9/40 (*.f64 x x))
✓22.6b
(/.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) -1/8) (+.f64 (*.f64 81/1600 (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 1/4 (*.f64 -1/2 (*.f64 9/40 (*.f64 x x))))))
Compiler

Compiled 118 to 61 computations (48.3% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) -1/8) (+.f64 (*.f64 81/1600 (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 1/4 (*.f64 -1/2 (*.f64 9/40 (*.f64 x x))))))
1.0ms
x
@0
(/.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) -1/8) (+.f64 (*.f64 81/1600 (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 1/4 (*.f64 -1/2 (*.f64 9/40 (*.f64 x x))))))
1.0ms
x
@inf
(pow.f64 (*.f64 x x) 3)
0.0ms
x
@inf
(*.f64 81/1600 (*.f64 (*.f64 x x) (*.f64 x x)))
0.0ms
x
@0
(pow.f64 (*.f64 x x) 3)

rewrite70.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
694×fma-def_binary64
403×fma-neg_binary64
334×expm1-udef_binary64
334×log1p-udef_binary64
214×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02050
145638
2578436
Stop Event
1×node limit
Counts
3 → 70
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) -1/8) (+.f64 (*.f64 81/1600 (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 1/4 (*.f64 -1/2 (*.f64 9/40 (*.f64 x x))))))
(pow.f64 (*.f64 x x) 3)
(*.f64 81/1600 (*.f64 (*.f64 x x) (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (/.f64 1 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) 2)) (*.f64 (cbrt.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8)) (/.f64 1 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 729/64000 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x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (pow.f64 x 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) (*.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 4) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 4) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 81/1600 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 81/1600 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 81/1600 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 531441/4096000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x x) 4) 6561/2560000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 81/1600) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 81/1600 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 531441/4096000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 81/1600 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 81/1600 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 81/1600 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 81/1600 (pow.f64 x 4))) 1))))))

simplify69.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
501×log-prod_binary64
288×log-div_binary64
280×distribute-rgt-in_binary64
276×distribute-lft-in_binary64
275×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01921555
14551529
213911518
359161480
Stop Event
1×node limit
Counts
106 → 98
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))))) 1)
(*.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (/.f64 1 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))))
(*.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))) 1)
(*.f64 1 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) 2)) (*.f64 (cbrt.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8)) (/.f64 1 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))) 2) (cbrt.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(*.f64 (sqrt.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8)) (*.f64 (sqrt.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8)) (/.f64 1 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))) (sqrt.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(*.f64 (neg.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8)) (/.f64 1 (neg.f64 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(*.f64 (/.f64 1 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))) (fma.f64 729/64000 (pow.f64 x 6) -1/8))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8)) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8)) 1) (/.f64 (sqrt.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8)) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))) 2)) (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (cbrt.f64 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) 2)) (pow.f64 (cbrt.f64 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))) 2)) (cbrt.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8)) (pow.f64 (cbrt.f64 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))) 2)) (/.f64 (sqrt.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8)) (cbrt.f64 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))) (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (sqrt.f64 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) 2)) (sqrt.f64 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))) (/.f64 (cbrt.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8)) (sqrt.f64 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(*.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 (pow.f64 (*.f64 x x) 6) 531441/4096000000 (pow.f64 (fma.f64 9/80 (*.f64 x x) 1/4) 3))) (fma.f64 (fma.f64 9/80 (*.f64 x x) 1/4) (-.f64 (fma.f64 9/80 (*.f64 x x) 1/4) (*.f64 81/1600 (pow.f64 x 4))) (*.f64 (pow.f64 (*.f64 x x) 4) 6561/2560000)))
(*.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (-.f64 (*.f64 (pow.f64 (*.f64 x x) 4) 6561/2560000) (pow.f64 (fma.f64 9/80 (*.f64 x x) 1/4) 2))) (+.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (*.f64 (*.f64 x x) -9/80)))
(pow.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))) 2)
(pow.f64 (/.f64 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)) (fma.f64 729/64000 (pow.f64 x 6) -1/8)) -1)
(neg.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (neg.f64 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) 3) (pow.f64 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 6))) 1)
(*.f64 x (*.f64 x (pow.f64 x 4)))
(*.f64 x (*.f64 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (*.f64 x x) (pow.f64 x 4))
(*.f64 (pow.f64 x 6) 1)
(*.f64 (pow.f64 x 4) (*.f64 x x))
(*.f64 1 (pow.f64 x 6))
(*.f64 (pow.f64 x 3) (pow.f64 x 3))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) (*.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 x (cbrt.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 4)))
(*.f64 (*.f64 (pow.f64 x 4) x) x)
(*.f64 (*.f64 (*.f64 x x) (pow.f64 x 3)) x)
(*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 x 4) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(sqrt.f64 (pow.f64 (*.f64 x x) 6))
(log.f64 (exp.f64 (pow.f64 x 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 6))))
(cbrt.f64 (pow.f64 (pow.f64 x 6) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 6)))
(log1p.f64 (expm1.f64 (pow.f64 x 6)))
(exp.f64 (log.f64 (pow.f64 x 6)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 6)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 81/1600 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 81/1600 (pow.f64 x 4)) 1)
(pow.f64 (*.f64 x (*.f64 x 9/40)) 2)
(pow.f64 (cbrt.f64 (*.f64 81/1600 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 531441/4096000000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x x) 4) 6561/2560000))
(log.f64 (pow.f64 (exp.f64 81/1600) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 81/1600 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 531441/4096000000))
(expm1.f64 (log1p.f64 (*.f64 81/1600 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 81/1600 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 81/1600 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 81/1600 (pow.f64 x 4))) 1))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
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(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(neg.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (neg.f64 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))) 2))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(log.f64 (exp.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4))) 3))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) 3) (pow.f64 (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)) 3)))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(exp.f64 (log.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))) 1))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 6))) 1)
(pow.f64 x 6)
(*.f64 x (*.f64 x (pow.f64 x 4)))
(pow.f64 x 6)
(*.f64 x (*.f64 (pow.f64 x 3) (*.f64 x x)))
(pow.f64 x 6)
(*.f64 (*.f64 x x) (pow.f64 x 4))
(pow.f64 x 6)
(*.f64 (pow.f64 x 6) 1)
(pow.f64 x 6)
(*.f64 (pow.f64 x 4) (*.f64 x x))
(pow.f64 x 6)
(*.f64 1 (pow.f64 x 6))
(pow.f64 x 6)
(*.f64 (pow.f64 x 3) (pow.f64 x 3))
(pow.f64 x 6)
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) (*.f64 (*.f64 x (cbrt.f64 x)) (*.f64 x x)))
(pow.f64 x 6)
(*.f64 (*.f64 x (cbrt.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 4)))
(pow.f64 x 6)
(*.f64 (*.f64 (pow.f64 x 4) x) x)
(pow.f64 x 6)
(*.f64 (*.f64 (*.f64 x x) (pow.f64 x 3)) x)
(pow.f64 x 6)
(*.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (*.f64 x (cbrt.f64 x)))
(pow.f64 x 6)
(*.f64 (*.f64 (pow.f64 x 4) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 x 6)
(sqrt.f64 (pow.f64 (*.f64 x x) 6))
(pow.f64 x 6)
(log.f64 (exp.f64 (pow.f64 x 6)))
(pow.f64 x 6)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 6))))
(pow.f64 x 6)
(cbrt.f64 (pow.f64 (pow.f64 x 6) 3))
(pow.f64 x 6)
(expm1.f64 (log1p.f64 (pow.f64 x 6)))
(pow.f64 x 6)
(log1p.f64 (expm1.f64 (pow.f64 x 6)))
(pow.f64 x 6)
(exp.f64 (log.f64 (pow.f64 x 6)))
(pow.f64 x 6)
(exp.f64 (*.f64 (log.f64 (pow.f64 x 6)) 1))
(pow.f64 x 6)
(-.f64 (exp.f64 (log1p.f64 (*.f64 81/1600 (pow.f64 x 4)))) 1)
(*.f64 81/1600 (pow.f64 x 4))
(pow.f64 (*.f64 81/1600 (pow.f64 x 4)) 1)
(*.f64 81/1600 (pow.f64 x 4))
(pow.f64 (*.f64 x (*.f64 x 9/40)) 2)
(*.f64 81/1600 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 81/1600 (pow.f64 x 4))) 3)
(*.f64 81/1600 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 531441/4096000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 531441/4096000000))
(cbrt.f64 (*.f64 (pow.f64 x 12) 531441/4096000000))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x x) 4) 6561/2560000))
(sqrt.f64 (*.f64 (pow.f64 x 8) 6561/2560000))
(log.f64 (pow.f64 (exp.f64 81/1600) (pow.f64 x 4)))
(*.f64 81/1600 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 81/1600 (pow.f64 x 4)))))
(*.f64 81/1600 (pow.f64 x 4))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 531441/4096000000))
(cbrt.f64 (*.f64 (pow.f64 x 12) 531441/4096000000))
(expm1.f64 (log1p.f64 (*.f64 81/1600 (pow.f64 x 4))))
(*.f64 81/1600 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 81/1600 (pow.f64 x 4))))
(*.f64 81/1600 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 81/1600 (pow.f64 x 4))))
(*.f64 81/1600 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (*.f64 81/1600 (pow.f64 x 4))) 1))
(*.f64 81/1600 (pow.f64 x 4))

eval176.0ms (1.5%)

Compiler

Compiled 5803 to 3494 computations (39.8% saved)

prune68.0ms (0.6%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New3071308
Fresh022
Picked011
Done055
Total3079316
Error
0b
Counts
316 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.2b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓31.1b
(/.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) -1/8) (+.f64 (*.f64 81/1600 (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 1/4 (*.f64 -1/2 (*.f64 9/40 (*.f64 x x))))))
✓33.1b
(/.f64 x (-.f64 x (tan.f64 x)))
▶33.1b
(-.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 1)
✓30.6b
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
✓32.3b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
✓62.2b
(*.f64 9/40 (*.f64 x x))
32.7b
1
31.2b
-1/2
Compiler

Compiled 88 to 59 computations (33% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 x)
0.0b
(/.f64 x (-.f64 x (tan.f64 x)))
✓0.0b
(-.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 1)
1.7b
(-.f64 x (tan.f64 x))
Compiler

Compiled 33 to 11 computations (66.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
837×prod-diff_binary64
535×fma-def_binary64
423×log-prod_binary64
241×pow2_binary64
238×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
11949
230509
Stop Event
1×node limit
Counts
1 → 106
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (/.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 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simplify55.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
704×fma-neg_binary64
475×distribute-rgt-in_binary64
439×distribute-lft-in_binary64
436×unswap-sqr_binary64
148×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02652028
16551964
222621956
Stop Event
1×node limit
Counts
118 → 149
Calls
Call 1
Inputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1))
(+.f64 1 (*.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1) 1))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(+.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) -1)
(+.f64 0 (/.f64 x (-.f64 x (tan.f64 x))))
(+.f64 -1 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))))
(+.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))
(*.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 x (/.f64 1 (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(*.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 x (tan.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 x (tan.f64 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 x (tan.f64 x)))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (/.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 x (tan.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))) (+.f64 x (tan.f64 x)))
(/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) x))
(/.f64 1 (/.f64 (/.f64 (-.f64 x (tan.f64 x)) x) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x))))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x))))))))
(/.f64 x (-.f64 x (tan.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 x (tan.f64 x)) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 x (tan.f64 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 x (tan.f64 x))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) -1))))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 x (tan.f64 x)) x)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 x (tan.f64 x)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x))))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x))))))) (neg.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 x (tan.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1) 2) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1) 2)) (-.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1)))
(/.f64 (/.f64 x 1) (-.f64 x (tan.f64 x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (cbrt.f64 (-.f64 x (tan.f64 x))))
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 1/2)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2)
(pow.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) x) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 x (tan.f64 x)) x) 1) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x))))))) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x))))))) -1)
(neg.f64 (/.f64 x (neg.f64 (-.f64 x (tan.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 x (tan.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3))
(hypot.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (/.f64 x (-.f64 x (tan.f64 x))))))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 1))
(fma.f64 1 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(fma.f64 1 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) -1)
(fma.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1) 1)
(fma.f64 x (/.f64 1 (-.f64 x (tan.f64 x))) 0)
(fma.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1 0)
(fma.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 x (tan.f64 x)))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))) 2) (cbrt.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))) 1) -1)
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 0)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 x (tan.f64 x)))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))) (sqrt.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))) 1) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 x (tan.f64 x)))) 0)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))) 0)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)) (/.f64 1 (fma.f64 (/.f64 x (-.f64 x (tan.f64 x))) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1) 1)) -1)
(fma.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x 0)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (/.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 0)
(fma.f64 (-.f64 1 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (/.f64 1 (-.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1)) (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 x (tan.f64 x))) 0)
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 x (tan.f64 x))) 0)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 x (tan.f64 x)))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 0)
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))) 0)
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 x (tan.f64 x)))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 x (tan.f64 x)))) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) 0)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 1) (-.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 1) 1)
(fma.f64 (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) 0)
(fma.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))) (+.f64 x (tan.f64 x)) 0)
Outputs
(/.f64 -3 (pow.f64 x 2))
(/.f64 -3 (*.f64 x x))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 6/5 (/.f64 3 (*.f64 x x)))
(+.f64 6/5 (/.f64 -3 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (*.f64 x x) 1/175 6/5) (/.f64 -3 (*.f64 x x)))
(+.f64 6/5 (fma.f64 (*.f64 x x) 1/175 (/.f64 -3 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (*.f64 2/7875 (pow.f64 x 4))) (/.f64 3 (*.f64 x x)))
(fma.f64 (*.f64 x x) 1/175 (+.f64 (fma.f64 2/7875 (pow.f64 x 4) 6/5) (/.f64 -3 (*.f64 x x))))
(+.f64 (fma.f64 (*.f64 x x) 1/175 6/5) (fma.f64 2/7875 (pow.f64 x 4) (/.f64 -3 (*.f64 x x))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)))
(+.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1))
(/.f64 x (-.f64 x (tan.f64 x)))
(+.f64 1 (*.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1) 1))
(/.f64 x (-.f64 x (tan.f64 x)))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(+.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) -1)
(/.f64 x (-.f64 x (tan.f64 x)))
(+.f64 0 (/.f64 x (-.f64 x (tan.f64 x))))
(/.f64 x (-.f64 x (tan.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(+.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1) 1)
(/.f64 x (-.f64 x (tan.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))
(*.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 x (/.f64 1 (-.f64 x (tan.f64 x))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (+.f64 2 (/.f64 x (-.f64 x (tan.f64 x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) (+.f64 2 (/.f64 x (-.f64 x (tan.f64 x)))))))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (/.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (/.f64 1 (+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) (+.f64 2 (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 x (tan.f64 x))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 x (tan.f64 x))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1)) 1)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1)) (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1)) 1)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 x (tan.f64 x))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 x (tan.f64 x)))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 0)
(*.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 x (tan.f64 x)))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 x (tan.f64 x)))) 0)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) 0)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))))) (expm1.f64 (*.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 1/2)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 1) (-.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 1) 1)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) 0)
(*.f64 (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(fma.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))) (+.f64 x (tan.f64 x)) 0)
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 x (+.f64 x (tan.f64 x))) (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)))

eval138.0ms (1.2%)

Compiler

Compiled 5173 to 2485 computations (52% saved)

prune62.0ms (0.5%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New3050305
Fresh022
Picked011
Done066
Total3059314
Error
0b
Counts
314 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.2b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓31.1b
(/.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) -1/8) (+.f64 (*.f64 81/1600 (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 1/4 (*.f64 -1/2 (*.f64 9/40 (*.f64 x x))))))
✓33.1b
(/.f64 x (-.f64 x (tan.f64 x)))
✓33.1b
(-.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 1)
✓30.6b
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
✓32.3b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
✓62.2b
(*.f64 9/40 (*.f64 x x))
32.7b
1
31.2b
-1/2
Compiler

Compiled 88 to 59 computations (33% saved)

regimes31.0ms (0.3%)

Counts
13 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(-.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 1)
(/.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) -1/8) (+.f64 (*.f64 81/1600 (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 1/4 (*.f64 -1/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Calls

2 calls:

22.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.4b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 121 to 61 computations (49.6% saved)

bsearch58.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
30.0ms
6.640067430550804e-13
321984239.79353017
28.0ms
-2.0433611524173823
-1.6116969738644758e-5
Results
54.0ms320×body256valid
Compiler

Compiled 414 to 289 computations (30.2% saved)

regimes21.0ms (0.2%)

Counts
10 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(-.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 1)
(/.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) -1/8) (+.f64 (*.f64 81/1600 (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 1/4 (*.f64 -1/2 (*.f64 9/40 (*.f64 x x))))))
Outputs
1
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(-.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 1)
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 82 to 47 computations (42.7% saved)

bsearch50.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
6.640067430550804e-13
321984239.79353017
19.0ms
-355.2714699956071
-2.0433611524173823
Results
46.0ms288×body256valid
Compiler

Compiled 329 to 255 computations (22.5% saved)

regimes17.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
Outputs
1
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(/.f64 x (-.f64 x (tan.f64 x)))
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 43 to 26 computations (39.5% saved)

bsearch49.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
6.640067430550804e-13
321984239.79353017
20.0ms
-355.2714699956071
-2.0433611524173823
Results
44.0ms288×body256valid
Compiler

Compiled 285 to 211 computations (26% saved)

regimes17.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
Outputs
1
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
1
Calls

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch51.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
6.640067430550804e-13
321984239.79353017
20.0ms
-355.2714699956071
-2.0433611524173823
Results
46.0ms288×body256valid
Compiler

Compiled 230 to 189 computations (17.8% saved)

regimes10.0ms (0.1%)

Accuracy

Total -62.4b remaining (-7263.2%)

Threshold costs -62.4b (-7263.2%)

Counts
3 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 9/40 (*.f64 x x))
Outputs
1
-1/2
1
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch55.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
6.640067430550804e-13
321984239.79353017
26.0ms
-2.0433611524173823
-1.6116969738644758e-5
Results
50.0ms320×body256valid
Compiler

Compiled 134 to 129 computations (3.7% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
042160
155160
263160
367160
469160
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -5188146770730811/1152921504606846976) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 1498797955988901/288230376151711744) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 9/4) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) (-.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 1)))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 9/4) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 1))
(if (<=.f64 x -3512807709348987/2251799813685248) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1))
-1/2
Outputs
(if (<=.f64 x -5188146770730811/1152921504606846976) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 1498797955988901/288230376151711744) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -5188146770730811/1152921504606846976) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 9/4) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) (-.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) 1)))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 9/4) (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) (+.f64 (+.f64 1 (/.f64 x (-.f64 x (tan.f64 x)))) -1)))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 9/4) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 9/4) (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 1))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) 1))
(if (<=.f64 x -3512807709348987/2251799813685248) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1))
-1/2
Compiler

Compiled 116 to 79 computations (31.9% saved)

soundness310.0ms (2.7%)

Algorithm
2×egg-herbie
Rules
986×log-prod_binary64
583×fma-neg_binary64
542×distribute-rgt-in_binary64
532×distribute-lft-in_binary64
430×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11414
22414
34114
47514
513014
626014
754614
8142014
9256614
10339214
11375714
12388614
13391314
14392314
15392714
16392714
034143
186110
231177
3209677
4675777
Stop Event
1×node limit
1×saturated
Compiler

Compiled 240 to 166 computations (30.8% saved)

end85.0ms (0.7%)

Compiler

Compiled 111 to 66 computations (40.5% saved)

Profiling

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