ENA, Section 1.4, Exercise 4a

Time bar (total: 5.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
75%37.5%12.5%50%0%0%0%3
87.5%43.7%6.2%50%0%0%0%4
93.8%46.8%3.1%50%0%0%0%5
96.9%48.4%1.6%50%0%0%0%6
98.4%49.2%0.8%50%0%0%0%7
99.2%49.6%0.4%50%0%0%0%8
99.6%49.8%0.2%50%0%0%0%9
99.8%49.9%0.1%50%0%0%0%10
99.9%49.9%0%50%0%0%0%11
100%49.9%0%50%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample3.6s (66.6%)

Memory
4.5MiB live, 3 731.5MiB allocated; 989ms collecting garbage
Samples
2.9s5 817×2valid
394.0ms2 360×1valid
4.0ms79×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-sin: 1.8s (70.4% of total)
adjust: 421.0ms (16.2% of total)
ival-div!: 122.0ms (4.7% of total)
ival-tan: 119.0ms (4.6% of total)
ival-sub!: 107.0ms (4.1% of total)
Bogosity

preprocess29.0ms (0.5%)

Memory
28.8MiB live, 28.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01122
14821
222521
389521
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Symmetry

(abs x)

Compiler

Compiled 10 to 10 computations (0% saved)

series5.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
5 → 22
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (- x (sin x)) x (sin x) (tan x))
1.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (- x (sin x)) x (sin x) (tan x))
1.0ms
x
@0
((/ (- x (sin x)) (tan x)) (- x (sin x)) x (sin x) (tan x))

rewrite251.0ms (4.6%)

Memory
-12.7MiB live, 173.8MiB allocated; 68ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134395
0140386
1832365
27479365
08218341
126284341
Stop Event
saturated
node-limit
iter-limit
Counts
27 → 91
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
Outputs
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 x (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (*.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64)) (tan.f64 x))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 x (tan.f64 x)) (*.f64 (tan.f64 x) (sin.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(neg.f64 (*.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x))))
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)))
(neg.f64 (-.f64 (/.f64 (sin.f64 x) (tan.f64 x)) (/.f64 x (tan.f64 x))))
(fma.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) x) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) x) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 (*.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 (*.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 (*.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) x) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))
(+.f64 (/.f64 x (tan.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) x))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(fma.f64 (sin.f64 x) #s(literal -1 binary64) x)
(-.f64 x (neg.f64 (neg.f64 (sin.f64 x))))
(-.f64 x (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) x)
(+.f64 x (neg.f64 (sin.f64 x)))
x
(sin.f64 x)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 x x)))
#s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 x x)))
#s(approx (- x (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx x x)
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (tan.f64 x)))
#s(approx (/ (- x (sin x)) (tan x)) (-.f64 (/.f64 x (tan.f64 x)) (*.f64 (/.f64 (cos.f64 x) x) x)))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (tan x) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (-.f64 (/.f64 x (tan.f64 x)) (*.f64 (/.f64 (cos.f64 x) x) x)))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))

eval8.0ms (0.1%)

Memory
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 619 to 251 computations (59.5% saved)

prune8.0ms (0.1%)

Memory
-23.2MiB live, 23.4MiB allocated; 2ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New76884
Fresh000
Picked011
Done000
Total76985
Accuracy
99.9%
Counts
85 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
53.1%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
82.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
82.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 x x))) (tan.f64 x))
81.9%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 x x))) (tan.f64 x))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
98.9%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 227 to 211 computations (7% saved)

series19.0ms (0.3%)

Memory
4.4MiB live, 51.2MiB allocated; 2ms collecting garbage
Counts
36 → 110
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 x x))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 x x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
(tan.f64 x)
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(/.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (+ (* -143/604800 (* x x)) -11/15120) #s(hole binary64 -11/15120))
#s(approx (+ (* -143/604800 (* x x)) -11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
#s(approx (+ (* 1/5040 (* x x)) -1/120) #s(hole binary64 -1/120))
#s(approx (+ (* 1/5040 (* x x)) -1/120) #s(hole binary64 (- (* 1/5040 (pow x 2)) 1/120)))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))))
#s(approx (/ (- x (sin x)) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* (pow x 2) (+ 31/15120 (* 127/604800 (pow x 2))))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ 1 (cos x)) #s(hole binary64 1))
#s(approx (/ 1 (cos x)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (/ 1 (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2)))))))
#s(approx (/ 1 (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2)))))))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -143/604800 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -143/604800 (pow x 5))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* -143/604800 (* x x)) -11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (+ (* -143/604800 (* x x)) -11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* -11/15120 (* x x)) -23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (+ (* -11/15120 (* x x)) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) #s(hole binary64 (* 1/5040 (pow x 7))))
#s(approx (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) #s(hole binary64 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) #s(hole binary64 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/5040 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (* 1/5040 (pow x 4))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/5040 (* x x)) -1/120) #s(hole binary64 (* 1/5040 (pow x 2))))
#s(approx (+ (* 1/5040 (* x x)) -1/120) #s(hole binary64 (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (sin x)) #s(hole binary64 (/ x (sin x))))
#s(approx (/ (- x (sin x)) (sin x)) #s(hole binary64 (* x (- (/ 1 (sin x)) (/ 1 x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ 1 (cos x)) #s(hole binary64 (/ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) #s(hole binary64 (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))))
#s(approx (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) #s(hole binary64 (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))))
#s(approx (/ (- x (sin x)) (sin x)) #s(hole binary64 (* -1 (* x (- (/ 1 x) (/ 1 (sin x)))))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (+ (* -143/604800 (* x x)) -11/15120) -143/604800 (* x x) x -11/15120 -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (+ (* -11/15120 (* x x)) -23/360) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) -1/120) 1/5040 -1/120 (tan x) (/ (/ (- x (sin x)) (sin x)) (/ 1 (cos x))) (/ (- x (sin x)) (sin x)) (- x (sin x)) (sin x) (/ 1 (cos x)) 1 (cos x))
5.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (+ (* -143/604800 (* x x)) -11/15120) -143/604800 (* x x) x -11/15120 -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (+ (* -11/15120 (* x x)) -23/360) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) -1/120) 1/5040 -1/120 (tan x) (/ (/ (- x (sin x)) (sin x)) (/ 1 (cos x))) (/ (- x (sin x)) (sin x)) (- x (sin x)) (sin x) (/ 1 (cos x)) 1 (cos x))
3.0ms
x
@0
((/ (- x (sin x)) (tan x)) (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (+ (* -143/604800 (* x x)) -11/15120) -143/604800 (* x x) x -11/15120 -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (+ (* -11/15120 (* x x)) -23/360) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) -1/120) 1/5040 -1/120 (tan x) (/ (/ (- x (sin x)) (sin x)) (/ 1 (cos x))) (/ (- x (sin x)) (sin x)) (- x (sin x)) (sin x) (/ 1 (cos x)) 1 (cos x))

rewrite225.0ms (4.1%)

Memory
4.5MiB live, 235.8MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04352939
04912777
123132777
083542706
1260042706
Stop Event
saturated
node-limit
iter-limit
Counts
146 → 312
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 x x))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 x x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
(tan.f64 x)
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(/.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (+ (* -143/604800 (* x x)) -11/15120) #s(hole binary64 -11/15120))
#s(approx (+ (* -143/604800 (* x x)) -11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
#s(approx (+ (* 1/5040 (* x x)) -1/120) #s(hole binary64 -1/120))
#s(approx (+ (* 1/5040 (* x x)) -1/120) #s(hole binary64 (- (* 1/5040 (pow x 2)) 1/120)))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))))
#s(approx (/ (- x (sin x)) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* (pow x 2) (+ 31/15120 (* 127/604800 (pow x 2))))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ 1 (cos x)) #s(hole binary64 1))
#s(approx (/ 1 (cos x)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (/ 1 (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2)))))))
#s(approx (/ 1 (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2)))))))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -143/604800 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -143/604800 (pow x 5))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* -143/604800 (* x x)) -11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (+ (* -143/604800 (* x x)) -11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* -11/15120 (* x x)) -23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (+ (* -11/15120 (* x x)) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) #s(hole binary64 (* 1/5040 (pow x 7))))
#s(approx (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) #s(hole binary64 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) #s(hole binary64 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/5040 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (* 1/5040 (pow x 4))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/5040 (* x x)) -1/120) #s(hole binary64 (* 1/5040 (pow x 2))))
#s(approx (+ (* 1/5040 (* x x)) -1/120) #s(hole binary64 (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (sin x)) #s(hole binary64 (/ x (sin x))))
#s(approx (/ (- x (sin x)) (sin x)) #s(hole binary64 (* x (- (/ 1 (sin x)) (/ 1 x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ 1 (cos x)) #s(hole binary64 (/ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) #s(hole binary64 (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))))
#s(approx (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) #s(hole binary64 (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))))
#s(approx (/ (- x (sin x)) (sin x)) #s(hole binary64 (* -1 (* x (- (/ 1 x) (/ 1 (sin x)))))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))
(*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) x))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) x))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) #s(literal 1/6 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal -1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))
(-.f64 #s(literal 1/6 binary64) (neg.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))
(neg.f64 (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) #s(literal -23/360 binary64))
(+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x))
(neg.f64 (-.f64 #s(literal 11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))
(+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))
#s(literal -143/604800 binary64)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal -1/6 binary64))
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#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- x (sin x)) (sin x)) (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 127/604800 binary64) (*.f64 x x) #s(literal 31/15120 binary64)) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (cos x)) #s(literal 1 binary64))
#s(approx (/ 1 (cos x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cos x)) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) x))) x))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64)))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x))) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x))) #s(literal 143/604800 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (neg.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x))) #s(literal 143/604800 binary64))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64)))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x))) #s(literal 143/604800 binary64))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64)))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64)))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x))) #s(literal 143/604800 binary64))))
#s(approx (+ (* -143/604800 (* x x)) -11/15120) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))
#s(approx (+ (* -143/604800 (* x x)) -11/15120) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64)) (*.f64 x x))))
#s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)))))
#s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)))
#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)))))
#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -11/15120 (* x x)) -23/360) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
#s(approx (+ (* -11/15120 (* x x)) -23/360) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x))))
#s(approx (- x (sin x)) (*.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) x))
#s(approx (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64)))
#s(approx (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) (*.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5040 binary64)))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) (*.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/5040 (* x x)) -1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
#s(approx (+ (* 1/5040 (* x x)) -1/120) (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (tan x) (tan.f64 x))
#s(approx (/ (- x (sin x)) (sin x)) (/.f64 x (sin.f64 x)))
#s(approx (/ (- x (sin x)) (sin x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ 1 (cos x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) x)) x)))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (fma.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) #s(literal 143/604800 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (neg.f64 (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) #s(literal 143/604800 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) #s(literal 143/604800 binary64)))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64)))))))
#s(approx (- x (sin x)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)))
#s(approx (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (* x x)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/5040 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) -1/120) (* x x)) 1/6) x) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/5040 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ (- x (sin x)) (sin x)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sin.f64 x))) x)))

eval36.0ms (0.7%)

Memory
33.9MiB live, 78.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 732 to 1 560 computations (58.2% saved)

prune16.0ms (0.3%)

Memory
-13.1MiB live, 31.7MiB allocated; 6ms collecting garbage
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New32510335
Fresh303
Picked145
Done011
Total32915344
Accuracy
99.9%
Counts
344 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
53.1%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
82.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
81.9%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
82.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) x)) (tan.f64 x))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x))))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
23.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x) x))
98.9%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
98.9%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
15.8%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))
Compiler

Compiled 466 to 433 computations (7.1% saved)

series19.0ms (0.4%)

Memory
-9.2MiB live, 36.2MiB allocated; 5ms collecting garbage
Counts
44 → 104
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x)
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(*.f64 x x)
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64)))
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 11/15120 binary64)
(/.f64 #s(literal 23/360 binary64) (*.f64 x x))
#s(literal 23/360 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) x)) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) x))
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) x)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
(tan.f64 x)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) #s(hole binary64 (* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 (/ 1/6 (pow x 4))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 4))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 (/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4))))
#s(approx (- (* 1/6 (pow x -4)) 11/15120) #s(hole binary64 (/ (+ 1/6 (* -11/15120 (pow x 4))) (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (/ 23/360 (* x x)) #s(hole binary64 (/ 23/360 (pow x 2))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
#s(approx (+ (* (* x x) 1/5040) -1/120) #s(hole binary64 -1/120))
#s(approx (+ (* (* x x) 1/5040) -1/120) #s(hole binary64 (- (* 1/5040 (pow x 2)) 1/120)))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -143/604800 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -143/604800 (pow x 5))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (+ (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -11/15120 (pow x 3))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 -11/15120))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 (* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/6 (pow x -4)) 11/15120) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 4))) 11/15120)))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) #s(hole binary64 (* 1/5040 (pow x 7))))
#s(approx (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) #s(hole binary64 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) #s(hole binary64 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/5040 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/5040 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) #s(hole binary64 (* 1/5040 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/5040) -1/120) #s(hole binary64 (* 1/5040 (pow x 2))))
#s(approx (+ (* (* x x) 1/5040) -1/120) #s(hole binary64 (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))))
#s(approx (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) -23/360 x 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (/ (- x (sin x)) (tan x)) (+ (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (* x x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) -11/15120 (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (pow x 6)) (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (- (* 1/6 (pow x -4)) 11/15120) (* 1/6 (pow x -4)) (pow x -4) -4 11/15120 (/ 23/360 (* x x)) 23/360 (pow x 6) 6 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) (+ (* (* x x) 1/5040) -1/120) 1/5040 -1/120 (tan x))
5.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) -23/360 x 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (/ (- x (sin x)) (tan x)) (+ (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (* x x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) -11/15120 (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (pow x 6)) (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (- (* 1/6 (pow x -4)) 11/15120) (* 1/6 (pow x -4)) (pow x -4) -4 11/15120 (/ 23/360 (* x x)) 23/360 (pow x 6) 6 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) (+ (* (* x x) 1/5040) -1/120) 1/5040 -1/120 (tan x))
4.0ms
x
@0
((/ (- x (sin x)) (tan x)) (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) -23/360 x 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (/ (- x (sin x)) (tan x)) (+ (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (* x x) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) -11/15120 (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (pow x 6)) (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (- (* 1/6 (pow x -4)) 11/15120) (* 1/6 (pow x -4)) (pow x -4) -4 11/15120 (/ 23/360 (* x x)) 23/360 (pow x 6) 6 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) (+ (* (* x x) 1/5040) -1/120) 1/5040 -1/120 (tan x))

rewrite578.0ms (10.6%)

Memory
-41.3MiB live, 183.4MiB allocated; 756ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03813241
04293087
119003080
083622875
1259002875
Stop Event
saturated
node-limit
iter-limit
Counts
148 → 304
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x)
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(*.f64 x x)
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64)))
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 11/15120 binary64)
(/.f64 #s(literal 23/360 binary64) (*.f64 x x))
#s(literal 23/360 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) x)) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) x))
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) x)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) #s(hole binary64 (* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 (/ 1/6 (pow x 4))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 4))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 (/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4))))
#s(approx (- (* 1/6 (pow x -4)) 11/15120) #s(hole binary64 (/ (+ 1/6 (* -11/15120 (pow x 4))) (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (/ 23/360 (* x x)) #s(hole binary64 (/ 23/360 (pow x 2))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
#s(approx (+ (* (* x x) 1/5040) -1/120) #s(hole binary64 -1/120))
#s(approx (+ (* (* x x) 1/5040) -1/120) #s(hole binary64 (- (* 1/5040 (pow x 2)) 1/120)))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -143/604800 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -143/604800 (pow x 5))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (+ (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -11/15120 (pow x 3))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 -11/15120))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 (* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/6 (pow x -4)) 11/15120) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 4))) 11/15120)))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) #s(hole binary64 (* 1/5040 (pow x 7))))
#s(approx (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) #s(hole binary64 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) #s(hole binary64 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/5040 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/5040 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) #s(hole binary64 (* 1/5040 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/5040) -1/120) #s(hole binary64 (* 1/5040 (pow x 2))))
#s(approx (+ (* (* x x) 1/5040) -1/120) #s(hole binary64 (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))))
#s(approx (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 x (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(*.f64 x (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) #s(literal 1/6 binary64))
(-.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) #s(literal -1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (neg.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x)))
(+.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x))
(*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x)
(*.f64 x #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 x (*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x))
(*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x)
(*.f64 x #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x)))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(neg.f64 (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))
(-.f64 #s(literal -23/360 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
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#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64)))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (* 1/6 (pow x -4)) 11/15120) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64) #s(literal 1/6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (pow x -4) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ 23/360 (* x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x)))
#s(approx (pow x 6) (pow.f64 x #s(literal 6 binary64)))
#s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (- x (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- x (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- x (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) x))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/5040) -1/120) #s(literal -1/120 binary64))
#s(approx (+ (* (* x x) 1/5040) -1/120) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
#s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) x))) x))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal -143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64) (-.f64 #s(literal -143/604800 binary64) (fma.f64 #s(literal 23/360 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal -143/604800 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 143/604800 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64) (-.f64 #s(literal -143/604800 binary64) (fma.f64 #s(literal 23/360 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal -143/604800 binary64)) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64) (-.f64 #s(literal -143/604800 binary64) (fma.f64 #s(literal 23/360 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal -143/604800 binary64)))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 143/604800 binary64))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64)))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal -143/604800 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)))
#s(approx (+ (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (+ (* (* x x) 1/6) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* x x))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -11/15120 binary64)))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (* x x) -11/15120) -23/360) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
#s(approx (+ (* (* x x) -11/15120) -23/360) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)) (*.f64 x x))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(literal -11/15120 binary64))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x)))))
#s(approx (- (* 1/6 (pow x -4)) 11/15120) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal -11/15120 binary64)))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64)))
#s(approx (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64)))
#s(approx (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5040 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 1/5040) -1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
#s(approx (+ (* (* x x) 1/5040) -1/120) (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (tan x) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) x)) x)))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (fma.f64 #s(literal 23/360 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) #s(literal -143/604800 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (neg.f64 (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal 23/360 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) #s(literal -143/604800 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (fma.f64 #s(literal 23/360 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) #s(literal -143/604800 binary64)))))
#s(approx (- x (sin x)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)))
#s(approx (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (* (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) x) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal 1/5040 binary64))))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal 1/5040 binary64))))))

eval34.0ms (0.6%)

Memory
11.3MiB live, 65.2MiB allocated; 12ms collecting garbage
Compiler

Compiled 3 718 to 1 628 computations (56.2% saved)

prune17.0ms (0.3%)

Memory
-9.2MiB live, 36.9MiB allocated; 5ms collecting garbage
Pruning

18 alts after pruning (9 fresh and 9 done)

PrunedKeptTotal
New2895294
Fresh145
Picked145
Done055
Total29118309
Accuracy
99.9%
Counts
309 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
53.1%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
82.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
81.9%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
82.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) x)) (tan.f64 x))
23.4%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x) x) x)) (tan.f64 x))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) (*.f64 x x))))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
23.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x) x))
98.9%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
98.9%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
15.8%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))
15.1%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 6 binary64)))))
Compiler

Compiled 586 to 539 computations (8% saved)

series22.0ms (0.4%)

Memory
2.0MiB live, 48.3MiB allocated; 5ms collecting garbage
Counts
50 → 104
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(*.f64 x x)
x
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x)
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x) x)
(*.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x)
#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64)))
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 11/15120 binary64)
(/.f64 #s(literal 23/360 binary64) (*.f64 x x))
#s(literal 23/360 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64))
(fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
(*.f64 (*.f64 x x) x)
(tan.f64 x)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (+ (* (* x x) -143/604800) -11/15120) #s(hole binary64 -11/15120))
#s(approx (+ (* (* x x) -143/604800) -11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) #s(hole binary64 (* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 (/ 1/6 (pow x 4))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 4))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 (/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4))))
#s(approx (- (* 1/6 (pow x -4)) 11/15120) #s(hole binary64 (/ (+ 1/6 (* -11/15120 (pow x 4))) (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (/ 23/360 (* x x)) #s(hole binary64 (/ 23/360 (pow x 2))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
#s(approx (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))))
#s(approx (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) #s(hole binary64 -1/120))
#s(approx (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) #s(hole binary64 (- (* 1/5040 (pow x 2)) 1/120)))
#s(approx (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) #s(hole binary64 (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 1/5040))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 (+ 1/5040 (* -1/362880 (pow x 2)))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -143/604800 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* x x) -143/604800) -11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (+ (* (* x x) -143/604800) -11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) x) (* (* x x) 1/6)) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (+ (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) x) (* (* x x) 1/6)) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) x) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -11/15120 (pow x 3))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 (* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) #s(hole binary64 (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/6 (pow x -4)) 11/15120) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 4))) 11/15120)))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* -1/362880 (pow x 9))))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (* -1/362880 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) #s(hole binary64 (* -1/362880 (pow x 4))))
#s(approx (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) #s(hole binary64 (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) #s(hole binary64 (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 (* -1/362880 (pow x 2))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 (* (pow x 2) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* x x)) (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (+ (* (* x x) -143/604800) -11/15120) (* x x) x -143/604800 -11/15120 -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (* x x)) (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (/ (- x (sin x)) (tan x)) (+ (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) x) (* (* x x) 1/6)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (* (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (pow x 4)) (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (- (* 1/6 (pow x -4)) 11/15120) (* 1/6 (pow x -4)) (pow x -4) -4 11/15120 (/ 23/360 (* x x)) 23/360 (pow x 4) 4 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (+ (* -1/362880 (* x x)) 1/5040) -1/362880 1/5040 -1/120 (* (* x x) x) (tan x))
6.0ms
x
@0
((/ (- x (sin x)) (tan x)) (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* x x)) (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (+ (* (* x x) -143/604800) -11/15120) (* x x) x -143/604800 -11/15120 -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (* x x)) (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (/ (- x (sin x)) (tan x)) (+ (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) x) (* (* x x) 1/6)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (* (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (pow x 4)) (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (- (* 1/6 (pow x -4)) 11/15120) (* 1/6 (pow x -4)) (pow x -4) -4 11/15120 (/ 23/360 (* x x)) 23/360 (pow x 4) 4 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (+ (* -1/362880 (* x x)) 1/5040) -1/362880 1/5040 -1/120 (* (* x x) x) (tan x))
5.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* x x)) (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (+ (* (* x x) -143/604800) -11/15120) (* x x) x -143/604800 -11/15120 -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (* x x)) (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (/ (- x (sin x)) (tan x)) (+ (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) x) (* (* x x) 1/6)) (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (* (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (pow x 4)) (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (- (* 1/6 (pow x -4)) 11/15120) (* 1/6 (pow x -4)) (pow x -4) -4 11/15120 (/ 23/360 (* x x)) 23/360 (pow x 4) 4 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (+ (* -1/362880 (* x x)) 1/5040) -1/362880 1/5040 -1/120 (* (* x x) x) (tan x))

rewrite291.0ms (5.4%)

Memory
15.4MiB live, 248.6MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03883134
04562935
120392935
081252846
1251742846
Stop Event
saturated
node-limit
iter-limit
Counts
154 → 316
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(*.f64 x x)
x
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x)
#s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64))
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#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) #s(hole binary64 (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) (*.f64 x x)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) #s(literal 1/6 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal -1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))))
(-.f64 #s(literal 1/6 binary64) (neg.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)))
(neg.f64 (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) #s(literal -23/360 binary64))
(+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x))
(neg.f64 (-.f64 #s(literal 11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))
(+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
x
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) #s(literal 1/6 binary64))
(-.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) #s(literal -1/6 binary64))
(+.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x))
(*.f64 #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x)
(*.f64 x #s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x))
(fma.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/6 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
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(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x))
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(*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(neg.f64 (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal -11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal -11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x) x)
(*.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal -11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(*.f64 x (*.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal -11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x))
(*.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal -11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x)
(*.f64 x #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal -11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
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#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (* 1/6 (pow x -4)) 11/15120) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64) #s(literal 1/6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (pow x -4) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ 23/360 (* x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- x (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- x (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) x) x #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) #s(literal -1/120 binary64))
#s(approx (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)))
#s(approx (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(literal 1/5040 binary64))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)))
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) x))) x))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* x x)) (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* x x)) (*.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))) (*.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* x x)) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 #s(literal 23/360 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (neg.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))) (*.f64 x x)) #s(literal 143/604800 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 #s(literal 23/360 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64)))))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))) (*.f64 x x)) #s(literal 143/604800 binary64))))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64)))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64)))))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (*.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))) (*.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) -143/604800) -11/15120) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))
#s(approx (+ (* (* x x) -143/604800) -11/15120) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64)) (*.f64 x x))))
#s(approx (+ (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) x) (* (* x x) 1/6)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)))
#s(approx (+ (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) x) (* (* x x) 1/6)) (neg.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)))))
#s(approx (+ (* (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) x) (* (* x x) 1/6)) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal -11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)))))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -11/15120 binary64)))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (* x x) -11/15120) -23/360) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
#s(approx (+ (* (* x x) -11/15120) -23/360) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal -11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal -11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (neg.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))))
#s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal -11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))))
#s(approx (- (* 1/6 (pow x -4)) 11/15120) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal -11/15120 binary64)))
#s(approx (- x (sin x)) (*.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/362880 binary64)))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64)) (pow.f64 x #s(literal 9 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/362880 binary64))) (pow.f64 x #s(literal 9 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/362880 binary64))) (pow.f64 x #s(literal 9 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/362880 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/362880 binary64))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/362880 binary64))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/362880 binary64)))
#s(approx (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/362880 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) (*.f64 #s(literal -1/362880 binary64) (*.f64 x x)))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) (*.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64)) (*.f64 x x)))
#s(approx (tan x) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) x)) x)))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 23/360 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) #s(literal 143/604800 binary64)))))
#s(approx (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- x (sin x)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) (neg.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) -1/120) (* x x)) 1/6) (* (* x x) x)) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/362880 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 9 binary64)))))

eval41.0ms (0.7%)

Memory
-10.9MiB live, 86.5MiB allocated; 14ms collecting garbage
Compiler

Compiled 4 383 to 1 854 computations (57.7% saved)

prune17.0ms (0.3%)

Memory
5.0MiB live, 51.5MiB allocated; 2ms collecting garbage
Pruning

17 alts after pruning (6 fresh and 11 done)

PrunedKeptTotal
New3393342
Fresh134
Picked235
Done189
Total34317360
Accuracy
99.9%
Counts
360 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
53.1%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
82.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
81.9%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
82.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)) x)) (tan.f64 x))
82.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) x)) (tan.f64 x))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) (*.f64 x x))))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
22.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 #s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))) x) x))
98.9%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
98.9%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
15.1%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 6 binary64)))))
Compiler

Compiled 666 to 498 computations (25.2% saved)

regimes16.0ms (0.3%)

Memory
-5.7MiB live, 40.3MiB allocated; 4ms collecting garbage
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 #s(approx (- (- (* 1/6 (pow x -4)) 11/15120) (/ 23/360 (* x x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))) x) x))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 x x))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) x)) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 x x))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)) x)) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))) (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/5040) -1/120) (* x x)) 1/6) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x) x) x)) (tan.f64 x))
(/.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

7.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
7.0ms
x
Results
AccuracySegmentsBranch
99.6%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.6%1x
Compiler

Compiled 6 to 6 computations (0% saved)

regimes6.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (*.f64 x x))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.5%1x
Compiler

Compiled 6 to 6 computations (0% saved)

regimes4.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(approx (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) (*.f64 x x))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.5%1x
Compiler

Compiled 6 to 6 computations (0% saved)

regimes5.0ms (0.1%)

Memory
-46.5MiB live, 7.6MiB allocated; 4ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
98.9%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
98.9%1x
Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
98.9%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
98.9%1x
Compiler

Compiled 6 to 6 computations (0% saved)

derivations129.0ms (2.4%)

Memory
3.9MiB live, 143.7MiB allocated; 4ms collecting garbage
Stop Event
fuel
Compiler

Compiled 62 to 44 computations (29% saved)

preprocess42.0ms (0.8%)

Memory
15.4MiB live, 115.2MiB allocated; 16ms collecting garbage
Remove

(abs x)

Compiler

Compiled 225 to 201 computations (10.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...