Details

Time bar (total: 22.5s)

analyze802.0ms (3.6%)

Algorithm
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)

sample12.6s (56.1%)

Results
8.0s2064×body2048valid
3.0s3152×body1024valid
869.0ms1556×body512valid
369.0ms1384×body256valid
283.0ms100×body4096valid
Bogosity

preprocess294.0ms (1.3%)

Algorithm
egg-herbie
Rules
1016×fma-def
606×distribute-lft-in
520×associate-/r*
394×associate--r-
372×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
11627
22627
34427
47427
513327
628127
757927
8151027
9273127
10363327
11412327
12472127
13475327
14476527
15476927
16476927
011
Stop Event
saturated
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)

simplify281.0ms (1.2%)

Algorithm
egg-herbie
Rules
1016×fma-def
606×distribute-lft-in
520×associate-/r*
394×associate--r-
372×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
11627
22627
34427
47427
513327
628127
757927
8151027
9273127
10363327
11412327
12472127
13475327
14476527
15476927
16476927
Stop Event
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))

eval1.0ms (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
53.4%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
53.4%
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 10 to 6 computations (40% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
100.0%
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
97.7%
(-.f64 (sin.f64 x) x)
97.7%
(-.f64 (tan.f64 x) x)
Compiler

Compiled 23 to 6 computations (73.9% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite211.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1604×associate-/r*
1560×associate-/l*
1136×*-commutative
816×associate-/r/
530×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
120749
2313649
Stop Event
node limit
Counts
3 → 247
Calls
Call 1
Inputs
(-.f64 (tan.f64 x) x)
(-.f64 (sin.f64 x) x)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Outputs
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x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))

simplify276.0ms (1.2%)

Algorithm
egg-herbie
Rules
1332×associate-*r*
1154×associate-*l*
1056×associate-/l*
876×associate-/r*
816×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067313291
1210613149
Stop Event
node limit
Counts
283 → 424
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1/6 (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))
-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 (tan.f64 x) (neg.f64 x))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (neg.f64 x) (tan.f64 x))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (-.f64 (tan.f64 x) x) 1)
(*.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (tan.f64 x))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x))))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (-.f64 (tan.f64 x) x) 1)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (+.f64 x (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (/.f64 1 (+.f64 x (tan.f64 x)))))
(/.f64 (+.f64 x (tan.f64 x)) (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x)))
(/.f64 (-.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 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (tan.f64 x) x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (*.f64 1 (neg.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))
(/.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (tan.f64 x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 1 (-.f64 (tan.f64 x) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (*.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x x) 3)) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
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(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) 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 -1 (-.f64 (tan.f64 x) x)) (neg.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.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 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 x (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) 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 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x))))
(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)))
(expm1.f64 (log1p.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))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) 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))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 2/15 (pow.f64 x 5)))))
(*.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)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 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 -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)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 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 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/120))
(+.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 (pow.f64 x 7) -1/5040)))
(+.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 (pow.f64 x 7) -1/5040))))
(*.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)
-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)
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) -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 (/.f64 (neg.f64 (sin.f64 x)) x) (-.f64 1 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 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)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 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))))))
(+.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (-.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)))) (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (neg.f64 (/.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 -1 (+.f64 (*.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))))
(+.f64 1 (*.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 x)))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))
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(fma.f64 -1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3))) (+.f64 1 (*.f64 -1 (+.f64 (*.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)))))
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(*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 4) (*.f64 x (*.f64 (+.f64 x (sin.f64 x)) (*.f64 x (+.f64 x (sin.f64 x)))))) (/.f64 1 (-.f64 (tan.f64 x) x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (/.f64 1 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 6)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (-.f64 (sin.f64 x) x)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(*.f64 (+.f64 x (tan.f64 x)) (*.f64 (+.f64 x (tan.f64 x)) (/.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 x (tan.f64 x)))) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) 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 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (+.f64 x (tan.f64 x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))
(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 (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 (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 (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 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (tan.f64 x) x)))
(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))))
(/.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))
(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))
(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))
(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))

eval316.0ms (1.4%)

Compiler

Compiled 10663 to 3708 computations (65.2% saved)

prune163.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4186424
Fresh000
Picked011
Done000
Total4187425
Error
100.0%
Counts
425 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
48.5%
(fma.f64 9/40 (*.f64 x x) -1/2)
53.4%
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
53.4%
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
53.8%
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
53.4%
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
53.1%
1
47.9%
-1/2
Compiler

Compiled 55 to 37 computations (32.7% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
100.0%
(cos.f64 x)
99.8%
(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
99.7%
(/.f64 (sin.f64 x) (cos.f64 x))
97.0%
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
Compiler

Compiled 54 to 10 computations (81.5% saved)

series5.0ms (0%)

Counts
4 → 16
Calls

12 calls:

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

rewrite348.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1580×associate-*l/
1122×*-commutative
506×distribute-lft-in
504×associate-/l/
496×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0946
120346
2304846
Stop Event
node limit
Counts
4 → 269
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(cos.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (+.f64 (neg.f64 (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 (sin.f64 x) (+.f64 (neg.f64 (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 (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 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simplify321.0ms (1.4%)

Algorithm
egg-herbie
Rules
1122×associate-*r*
1042×associate-*l*
758×associate-/l*
582×times-frac
562×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062510247
116589691
Stop Event
node limit
Counts
285 → 357
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -529/24192 (pow.f64 x 9)) (+.f64 (*.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5)))))
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 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -13/240 (pow.f64 x 6))))
(+.f64 (*.f64 -529/24192 (pow.f64 x 8)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -13/240 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))
(+.f64 (sin.f64 x) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (neg.f64 (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 (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (-.f64 (sin.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)))
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(log.f64 (exp.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 x) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 x) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 1 (sin.f64 x) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 (neg.f64 (/.f64 1 (cos.f64 x)))))
(*.f64 (tan.f64 x) 1)
(*.f64 1 (tan.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 (tan.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (cbrt.f64 (tan.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (tan.f64 x)))))
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (cos.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 (tan.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) (cbrt.f64 (neg.f64 (tan.f64 x)))) (neg.f64 (cbrt.f64 (neg.f64 (tan.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1 (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 -1 (neg.f64 (tan.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (neg.f64 (sqrt.f64 (tan.f64 x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (neg.f64 (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (tan.f64 x)))) (sqrt.f64 (neg.f64 (tan.f64 x))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) (cbrt.f64 (neg.f64 (tan.f64 x))))) (cbrt.f64 (neg.f64 (tan.f64 x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(pow.f64 (tan.f64 x) 1)
(pow.f64 (sqrt.f64 (tan.f64 x)) 2)
(pow.f64 (cbrt.f64 (tan.f64 x)) 3)
(pow.f64 (/.f64 1 (tan.f64 x)) -1)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(neg.f64 (neg.f64 (tan.f64 x)))
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(log1p.f64 (expm1.f64 (tan.f64 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x)) (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (/.f64 1 x)))
(+.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 (tan.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 1 x) (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 (sin.f64 x) x) (*.f64 (neg.f64 (/.f64 (tan.f64 x) x)) 1))
(+.f64 (neg.f64 (/.f64 (tan.f64 x) x)) (/.f64 (sin.f64 x) x))
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (tan.f64 x))) (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))) 1)
(*.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)
(*.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(*.f64 (/.f64 1 x) (-.f64 (sin.f64 x) (tan.f64 x)))
(*.f64 (+.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (/.f64 1 x)) (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (tan.f64 x) (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (-.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 (tan.f64 x) (cbrt.f64 x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (neg.f64 x)) (+.f64 (tan.f64 x) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x) (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))) (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2))) (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) x) (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (-.f64 (sin.f64 x) (tan.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 x)) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (-.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (sin.f64 x) 2)))))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (-.f64 (sin.f64 x) (tan.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) (tan.f64 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(*.f64 (cos.f64 x) 1)
(*.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 x)))))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (cos.f64 x)))))
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 x)))))
(*.f64 -1 (neg.f64 (cos.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (neg.f64 (sqrt.f64 (cos.f64 x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (neg.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 x)))) (sqrt.f64 (neg.f64 (cos.f64 x))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x))))) (cbrt.f64 (neg.f64 (cos.f64 x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(neg.f64 (neg.f64 (cos.f64 x)))
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
Outputs
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 5)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5))))
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x
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(fma.f64 1/3 (pow.f64 x 3) x)
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(*.f64 -1/2 (pow.f64 x 2))
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1
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(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) (sin.f64 x)))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) x)))
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(*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) x) (-.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (sin.f64 x) (tan.f64 x)))))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (-.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (sin.f64 x) 2)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (tan.f64 x) (*.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (-.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (sin.f64 x) 2))))) (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) x) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 (pow.f64 (sin.f64 x) 2))))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) x)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) 3) (pow.f64 (sin.f64 x) 6)))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 2)
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 3)
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3) 1/3)
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(pow.f64 (/.f64 x (-.f64 (sin.f64 x) (tan.f64 x))) -1)
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)))
(*.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (neg.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) (tan.f64 x)) 3) (pow.f64 x 3)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 x)))))
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (cos.f64 x)))))
(cos.f64 x)
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 x)))))
(*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 x))))))
(*.f64 -1 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (neg.f64 (sqrt.f64 (cos.f64 x))))
(cos.f64 x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (neg.f64 (cbrt.f64 (cos.f64 x))))
(cos.f64 x)
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 x)))) (sqrt.f64 (neg.f64 (cos.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 x)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x))))) (cbrt.f64 (neg.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 x))))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(cos.f64 x)
(neg.f64 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)

localize35.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
100.0%
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
97.7%
(-.f64 (sin.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 (-.f64 (sin.f64 x) x) (neg.f64 x))
1.0ms
x
@-inf
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
0.0ms
x
@0
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))

rewrite114.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1908×add-sqr-sqrt
1892×*-un-lft-identity
1776×add-cube-cbrt
1752×add-cbrt-cube
188×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0821
117917
2281917
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) x) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 x (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) -1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) -1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))))

simplify102.0ms (0.5%)

Algorithm
egg-herbie
Rules
1034×associate-+l+
1000×associate-+r+
830×*-commutative
526×associate-*r/
458×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01121011
1283975
21134955
34662955
Stop Event
node limit
Counts
49 → 63
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 x x)))
(-.f64 (/.f64 (sin.f64 x) x) (/.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(*.f64 -1 (/.f64 (+.f64 x (sin.f64 x)) x))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) -1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) -1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/120 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -1/120 (pow.f64 x 4)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/362880 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/6 (*.f64 x x) (*.f64 -1/362880 (pow.f64 x 8)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/5040 (pow.f64 x 6) (*.f64 -1/362880 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 x x)))
(+.f64 -1 (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 (sin.f64 x) x) (/.f64 x x))
(+.f64 -1 (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 -1 (/.f64 (+.f64 x (sin.f64 x)) x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 x)) x)
(-.f64 -1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 x)) x)
(-.f64 -1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) -1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 x)) x)
(-.f64 -1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 x) x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) -1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 x)) x)
(-.f64 -1 (/.f64 (sin.f64 x) x))
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 x)) x)
(-.f64 -1 (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))

localize97.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
100.0%
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
100.0%
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
97.7%
(-.f64 (sin.f64 x) x)
97.7%
(-.f64 (tan.f64 x) x)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series8.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
2.0ms
x
@inf
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
1.0ms
x
@inf
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
0.0ms
x
@0
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
0.0ms
x
@-inf
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))

rewrite233.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1750×associate-/l*
1098×associate-/r/
956×distribute-lft-in
682×associate-/l/
268×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01160
125254
2361654
Stop Event
node limit
Counts
2 → 236
Calls
Call 1
Inputs
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
Outputs
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simplify252.0ms (1.1%)

Algorithm
egg-herbie
Rules
1108×associate-*r*
1036×*-commutative
966×associate-/r*
960×associate-/l*
906×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076316756
1252716604
Stop Event
node limit
Counts
260 → 437
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
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(+.f64 (*.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (sin.f64 x)) (*.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) x))
(+.f64 (*.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (*.f64 x (+.f64 x (sin.f64 x)))))
(+.f64 (*.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (pow.f64 (sin.f64 x) 2)))
(+.f64 (*.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (*.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (*.f64 x (sin.f64 x))))
(-.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))) 1)
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 1)
(*.f64 -1 (neg.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(*.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 1 (-.f64 (sin.f64 x) x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2) (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 1 (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 1 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x))
(*.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (/.f64 1 (neg.f64 (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (sin.f64 x) x))) (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 1 (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 1 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (*.f64 (-.f64 (tan.f64 x) x) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (+.f64 x (sin.f64 x)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (sqrt.f64 (-.f64 (sin.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (sin.f64 x) (neg.f64 x)))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2))) (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 1 (/.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 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (+.f64 x (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (sin.f64 x) x))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (sin.f64 x) x))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (sin.f64 x) x))) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (sin.f64 x) x))) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (tan.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (-.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (-.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x)) (*.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (+.f64 x (sin.f64 x)))
(*.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x)) (*.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (sin.f64 x) x))) (+.f64 x (sin.f64 x)))
(*.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (sin.f64 x) x))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (+.f64 x (sin.f64 x))))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 1)
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) -1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 (-.f64 (sin.f64 x) x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) (pow.f64 (-.f64 (sin.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
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)
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) -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 (neg.f64 (sin.f64 x)) x) (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.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))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (*.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (-.f64 0 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 x x))) (-.f64 1 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.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 -1 (+.f64 (/.f64 (fma.f64 -1 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3)) (/.f64 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.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)))))
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(pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 3) 1/3)
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 3))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) (pow.f64 (-.f64 (sin.f64 x) x) 3)))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(exp.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 1))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))

localize59.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
99.9%
(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
1.0ms
x
@0
(fma.f64 9/40 (*.f64 x x) -1/2)
1.0ms
x
@inf
(fma.f64 9/40 (*.f64 x x) -1/2)
0.0ms
x
@-inf
(fma.f64 9/40 (*.f64 x x) -1/2)

rewrite95.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1404×add-sqr-sqrt
1378×*-un-lft-identity
1288×add-cube-cbrt
1278×add-cbrt-cube
1264×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
116115
2177715
Stop Event
node limit
Counts
1 → 22
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 (*.f64 9/40 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 9/40 x) x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 9/40 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 (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 (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 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) 1/4) (-.f64 (*.f64 (*.f64 9/40 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) -1/8) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 1/4 (*.f64 (*.f64 (*.f64 9/40 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 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)))) (#(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 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)))) (#(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 exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))))

simplify85.0ms (0.4%)

Algorithm
egg-herbie
Rules
1446×distribute-lft-in
1408×distribute-rgt-in
1240×associate-*r*
924×associate-/l*
902×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063602
1150584
2710556
33330556
Stop Event
node limit
Counts
34 → 35
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 (*.f64 9/40 x) x))
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(+.f64 (*.f64 (*.f64 (*.f64 9/40 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 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (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 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) 1/4) (-.f64 (*.f64 (*.f64 9/40 x) x) -1/2))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) -1/8) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 1/4 (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2))))
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)
(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)))
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1))
(log1p.f64 (expm1.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 x (*.f64 9/40 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 x (*.f64 9/40 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 (*.f64 9/40 x) x))
(fma.f64 9/40 (*.f64 x x) -1/2)
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(+.f64 (*.f64 (*.f64 (*.f64 9/40 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 (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 (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 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) 1/4) (-.f64 (*.f64 (*.f64 9/40 x) x) -1/2))
(/.f64 (fma.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x)) -1/4) (fma.f64 (*.f64 9/40 x) x 1/2))
(/.f64 (fma.f64 (*.f64 9/40 x) (*.f64 (pow.f64 x 3) 9/40) -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))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) -1/8) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 1/4 (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) -1/8) (fma.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) -1/8) (fma.f64 (*.f64 9/40 x) (*.f64 (pow.f64 x 3) 9/40) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80))))
(/.f64 (fma.f64 729/64000 (pow.f64 (*.f64 x x) 3) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (-.f64 1/4 (*.f64 x (*.f64 x -9/80)))))
(/.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 x (*.f64 9/80 x))))
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(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)
(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 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)
(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)
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1))
(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)

eval1.3s (5.8%)

Compiler

Compiled 32070 to 12320 computations (61.6% saved)

prune573.0ms (2.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New132531328
Fresh022
Picked101
Done314
Total132961335
Error
100.0%
Counts
1335 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
53.4%
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
53.8%
(-.f64 1 (/.f64 (sin.f64 x) x))
48.5%
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
53.4%
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
53.1%
1
47.9%
-1/2
Compiler

Compiled 40 to 29 computations (27.5% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
99.8%
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
97.0%
(-.f64 (sin.f64 x) (tan.f64 x))
Compiler

Compiled 37 to 9 computations (75.7% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite142.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1462×associate-*r/
1274×associate-/r*
1224×associate-/l*
1004×associate-*l/
926×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
117836
2259536
Stop Event
node limit
Counts
2 → 157
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) (tan.f64 x))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (+.f64 (neg.f64 (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 (sin.f64 x) (+.f64 (neg.f64 (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 (sin.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 (sin.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 (-.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 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(2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))))))

simplify213.0ms (0.9%)

Algorithm
egg-herbie
Rules
1042×associate-+r+
1030×associate-+l+
888×+-commutative
632×associate-/l*
632×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04148281
111737981
262987957
Stop Event
node limit
Counts
181 → 240
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -529/24192 (pow.f64 x 9)) (+.f64 (*.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5)))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -13/240 (pow.f64 x 6))))
(+.f64 (*.f64 -529/24192 (pow.f64 x 8)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -13/240 (pow.f64 x 6)))))
(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))
(+.f64 (sin.f64 x) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (neg.f64 (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 (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (-.f64 (sin.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 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (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 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.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 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (neg.f64 (tan.f64 x)) (sin.f64 x))
(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (sin.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (sin.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)) (+.f64 (sin.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x)))
(+.f64 (-.f64 (sin.f64 x) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(*.f64 (-.f64 (sin.f64 x) (tan.f64 x)) 1)
(*.f64 1 (-.f64 (sin.f64 x) (tan.f64 x)))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))))
(*.f64 (-.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (+.f64 (sin.f64 x) (tan.f64 x))) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (-.f64 (sin.f64 x) (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) 1)
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x)))))
(/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (/.f64 1 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (/.f64 1 (+.f64 (sin.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (/.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (-.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)))) (/.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)))) (/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (*.f64 1 (neg.f64 (+.f64 (sin.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))))
(/.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (/.f64 1 (-.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (*.f64 1 (-.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (*.f64 1 (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 x) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (*.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)))) (neg.f64 (+.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))))) (-.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3))) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (+.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (+.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))) 1) (neg.f64 (+.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) 1) (-.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) 1) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (sin.f64 x) (tan.f64 x)))) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (/.f64 1 (+.f64 (sin.f64 x) (tan.f64 x)))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 x) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) 1) (+.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 (sin.f64 x) (tan.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (sin.f64 x) (tan.f64 x))) (cbrt.f64 (+.f64 (sin.f64 x) (tan.f64 x))))) (cbrt.f64 (+.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))))
(pow.f64 (-.f64 (sin.f64 x) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sin.f64 x) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 x) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 x) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 x) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 1 (sin.f64 x) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 (tan.f64 x) x)))
(+.f64 (neg.f64 (/.f64 (tan.f64 x) x)) (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))) 1)
(*.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)
(*.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x))
(*.f64 (/.f64 1 x) (-.f64 (sin.f64 x) (tan.f64 x)))
(*.f64 (neg.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (/.f64 -1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x) (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 1))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) 1))
(*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 -1 x) (neg.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) x) (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2))) (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) x) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (-.f64 (sin.f64 x) (tan.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) x) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) x) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) x) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (-.f64 (sin.f64 x) (tan.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
Outputs
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 5)))
(fma.f64 -1/8 (pow.f64 x 5) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -13/240 (pow.f64 x 7) (*.f64 -1/8 (pow.f64 x 5))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/8 (pow.f64 x 5) (*.f64 -13/240 (pow.f64 x 7))))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -529/24192 (pow.f64 x 9)) (+.f64 (*.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5)))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -529/24192 (pow.f64 x 9) (fma.f64 -13/240 (pow.f64 x 7) (*.f64 -1/8 (pow.f64 x 5)))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -529/24192 (pow.f64 x 9) (fma.f64 -1/8 (pow.f64 x 5) (*.f64 -13/240 (pow.f64 x 7)))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 (*.f64 -1/2 x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4)))
(fma.f64 -1/8 (pow.f64 x 4) (*.f64 (*.f64 -1/2 x) x))
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(*.f64 (neg.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (/.f64 -1 x))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x) (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 1))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) 1))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 -1 x) (neg.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) x) (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2))) (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) x) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (-.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) x) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (tan.f64 x)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (tan.f64 x)))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) x)))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) (sin.f64 x)))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 x (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) x) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))) (-.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) x)) (-.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (sin.f64 x) (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) x) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (-.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (sin.f64 x) 2)))) (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) x) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) 3))))
(*.f64 (fma.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (-.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 4)) (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) x) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) 3) (pow.f64 (sin.f64 x) 6))))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 2)
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 3)
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3) 1/3)
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(pow.f64 (/.f64 x (-.f64 (sin.f64 x) (tan.f64 x))) -1)
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))
(fabs.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
99.8%
(*.f64 (*.f64 9/40 x) x)
99.8%
(*.f64 9/40 x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite95.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1108×add-sqr-sqrt
1090×*-un-lft-identity
1034×pow1
1016×add-cube-cbrt
1002×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
112120
2138320
Stop Event
node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 9/40 x)
(*.f64 (*.f64 9/40 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9/40 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 9/40 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9/40 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9/40 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 81/1600 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/40) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9/40 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9/40 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 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 (*.f64 (sqrt.f64 9/40) x) 2)))) (#(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 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 2))))) (#(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 exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))))

simplify79.0ms (0.4%)

Algorithm
egg-herbie
Rules
1414×associate-*r*
1312×associate-+l+
1270×associate-*l*
1238×associate-+r+
1114×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057508
1142442
2554376
33918376
Stop Event
node limit
Counts
34 → 27
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 (+.f64 1 (*.f64 9/40 x)) 1)
(pow.f64 (*.f64 9/40 x) 1)
(pow.f64 (sqrt.f64 (*.f64 9/40 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 9/40 x)) 3)
(pow.f64 (pow.f64 (*.f64 9/40 x) 3) 1/3)
(sqrt.f64 (*.f64 81/1600 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 9/40) x))
(cbrt.f64 (pow.f64 (*.f64 9/40 x) 3))
(expm1.f64 (log1p.f64 (*.f64 9/40 x)))
(exp.f64 (log.f64 (*.f64 9/40 x)))
(log1p.f64 (expm1.f64 (*.f64 9/40 x)))
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1)
(pow.f64 (*.f64 (sqrt.f64 9/40) x) 2)
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 2))
(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))))
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))
(log1p.f64 (expm1.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 (+.f64 1 (*.f64 9/40 x)) 1)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (*.f64 9/40 x) 1)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (sqrt.f64 (*.f64 9/40 x)) 2)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (cbrt.f64 (*.f64 9/40 x)) 3)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (pow.f64 (*.f64 9/40 x) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(sqrt.f64 (*.f64 81/1600 (*.f64 x x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(log.f64 (pow.f64 (exp.f64 9/40) x))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(cbrt.f64 (pow.f64 (*.f64 9/40 x) 3))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(expm1.f64 (log1p.f64 (*.f64 9/40 x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(exp.f64 (log.f64 (*.f64 9/40 x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(log1p.f64 (expm1.f64 (*.f64 9/40 x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 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 (*.f64 (sqrt.f64 9/40) x) 2)
(*.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 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)
(*.f64 9/40 (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 2))
(*.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))
(exp.f64 (log.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))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
99.8%
(/.f64 (sin.f64 x) x)
97.6%
(-.f64 1 (/.f64 (sin.f64 x) x))
Compiler

Compiled 15 to 6 computations (60% saved)

series3.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite102.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1800×add-sqr-sqrt
1784×*-un-lft-identity
1662×add-cube-cbrt
1646×add-cbrt-cube
168×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
116628
2216328
Stop Event
node limit
Counts
2 → 62
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (+.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (sin.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 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 (/.f64 1 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) 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 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)))) (#(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 (/.f64 x (sin.f64 x)) -1)))) (#(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 neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))))) (#(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 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 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 log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))))))

simplify82.0ms (0.4%)

Algorithm
egg-herbie
Rules
1012×fma-def
976×associate-/l*
828×associate-*r/
744×unswap-sqr
708×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01792104
14361854
217681656
Stop Event
node limit
Counts
78 → 98
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1)
(*.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)
(*.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) x) 1)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 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 (/.f64 1 x) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(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))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(expm1.f64 (log1p.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))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/120 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/362880 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/5040 (pow.f64 x 6) (*.f64 -1/362880 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/6))
(fma.f64 (*.f64 x x) -1/6 1)
(fma.f64 x (*.f64 x -1/6) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/120)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (*.f64 x x) -1/6)))
(fma.f64 (pow.f64 x 4) 1/120 (fma.f64 x (*.f64 x -1/6) 1))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120))))
(+.f64 (fma.f64 (*.f64 x x) -1/6 1) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) -1/5040)))
(+.f64 (fma.f64 x (*.f64 x -1/6) 1) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) -1/5040)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) x)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (+.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2)
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 3)
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3) 1/3)
(-.f64 1 (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2))
(-.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3))
(-.f64 1 (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (sin.f64 x)) x)))
(exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (sin.f64 x)) x)))
(exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (neg.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sin.f64 x) (/.f64 1 x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sin.f64 x) x) 1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 x) (sin.f64 x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)

eval171.0ms (0.8%)

Compiler

Compiled 7781 to 3754 computations (51.8% saved)

prune114.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3650365
Fresh022
Picked011
Done033
Total3656371
Error
100.0%
Counts
371 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
53.4%
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
53.8%
(-.f64 1 (/.f64 (sin.f64 x) x))
48.5%
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
53.4%
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
53.1%
1
47.9%
-1/2
Compiler

Compiled 40 to 29 computations (27.5% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Error
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
53.4%
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
53.8%
(-.f64 1 (/.f64 (sin.f64 x) x))
48.5%
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
53.4%
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
53.1%
1
47.9%
-1/2
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes50.0ms (0.2%)

Counts
11 → 3
Calls
Call 1
Inputs
-1/2
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(-.f64 1 (/.f64 (sin.f64 x) x))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
Outputs
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Calls

2 calls:

38.0ms
x
8.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
100.0%3x
99.8%2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 93 to 47 computations (49.5% saved)

bsearch167.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
118.0ms
1.1732460445355997e-5
19967150.53791191
49.0ms
-56972122.512421146
-1.166971644793841e-7
Results
153.0ms320×body256valid
Compiler

Compiled 424 to 309 computations (27.1% saved)

regimes43.0ms (0.2%)

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

2 calls:

33.0ms
x
7.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
100.0%3x
99.8%2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 59 to 32 computations (45.8% saved)

bsearch117.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
46.0ms
1.1732460445355997e-5
19967150.53791191
71.0ms
-56972122.512421146
-1.166971644793841e-7
Results
109.0ms320×body256valid
Compiler

Compiled 414 to 289 computations (30.2% saved)

regimes34.0ms (0.2%)

Counts
6 → 3
Calls
Call 1
Inputs
-1/2
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(-.f64 1 (/.f64 (sin.f64 x) x))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
Outputs
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(-.f64 1 (/.f64 (sin.f64 x) x))
Calls

1 calls:

31.0ms
x
Results
ErrorSegmentsBranch
99.6%3x
Compiler

Compiled 31 to 20 computations (35.5% saved)

bsearch165.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
70.0ms
1.1732460445355997e-5
19967150.53791191
94.0ms
-56972122.512421146
-1.166971644793841e-7
Results
156.0ms320×body256valid
Compiler

Compiled 304 to 239 computations (21.4% saved)

regimes17.0ms (0.1%)

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

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
99.6%3x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch239.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
112.0ms
1.1732460445355997e-5
19967150.53791191
127.0ms
-56972122.512421146
-1.166971644793841e-7
Results
172.0ms320×body256valid
Compiler

Compiled 254 to 209 computations (17.7% saved)

regimes26.0ms (0.1%)

Accuracy

Total -62.6b remaining (-17096.5%)

Threshold costs -62.60b (-17096.5%)

Counts
2 → 3
Calls
Call 1
Inputs
-1/2
1
Outputs
1
-1/2
1
Calls

1 calls:

25.0ms
x
Results
ErrorSegmentsBranch
99.4%3x
Compiler

Compiled 5 to 4 computations (20% saved)

bsearch148.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
98.0ms
1.1732460445355997e-5
19967150.53791191
50.0ms
-56972122.512421146
-1.166971644793841e-7
Results
141.0ms320×body256valid
Compiler

Compiled 134 to 129 computations (3.7% saved)

simplify21.0ms (0.1%)

Algorithm
egg-herbie
Rules
26×+-commutative
20×*-commutative
18×sub-neg
12×neg-sub0
10×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049278
179278
296278
3113278
4124278
5126278
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -5404319552844595/2251799813685248) (+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))) (if (<=.f64 x 1642913144064757/576460752303423488) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -5534023222112865/1152921504606846976) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 1642913144064757/576460752303423488) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 2589569785738035/1125899906842624) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) 1))
(if (<=.f64 x -3602879701896397/2251799813685248) 1 (if (<=.f64 x 3602879701896397/2251799813685248) -1/2 1))
-1/2
Outputs
(if (<=.f64 x -5404319552844595/2251799813685248) (+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))) (if (<=.f64 x 1642913144064757/576460752303423488) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -5404319552844595/2251799813685248) (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (if (<=.f64 x 1642913144064757/576460752303423488) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -5404319552844595/2251799813685248) (+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) (if (<=.f64 x 1642913144064757/576460752303423488) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -5534023222112865/1152921504606846976) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 1642913144064757/576460752303423488) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (or (<=.f64 x -5534023222112865/1152921504606846976) (not (<=.f64 x 1642913144064757/576460752303423488))) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 2589569785738035/1125899906842624) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 2589569785738035/1125899906842624) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) 1))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) 1))
(if (<=.f64 x -3602879701896397/2251799813685248) 1 (if (<=.f64 x 3602879701896397/2251799813685248) -1/2 1))
-1/2
Compiler

Compiled 115 to 82 computations (28.7% saved)

soundness1.7s (7.4%)

Algorithm
egg-herbie
Rules
1332×associate-*r*
1332×associate-*r*
1154×associate-*l*
1154×associate-*l*
1122×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
11627
22627
34427
47427
513327
628127
757927
8151027
9273127
10363327
11412327
12472127
13475327
14476527
15476927
16476927
067313291
1210613149
062510247
116589691
0927
11627
22627
34427
47427
513327
628127
757927
8151027
9273127
10363327
11412327
12472127
13475327
14476527
15476927
16476927
067313291
1210613149
Stop Event
node limit
saturated
node limit
node limit
saturated
Compiler

Compiled 440 to 168 computations (61.8% saved)

end141.0ms (0.6%)

Compiler

Compiled 110 to 71 computations (35.5% saved)

Profiling

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