Metrics for invcot (example 3.9)

start0.0ms (0%)

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

analyze3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.7%	50.3%	0%	0%	0%	0
0%	0%	49.7%	50.3%	0%	0%	0%	1
0%	0%	49.7%	50.3%	0%	0%	0%	2
25%	12.4%	37.3%	50.3%	0%	0%	0%	3
62.5%	31.1%	18.6%	50.3%	0%	0%	0%	4
81.3%	40.4%	9.3%	50.3%	0%	0%	0%	5
90.6%	45%	4.7%	50.3%	0%	0%	0%	6
95.3%	47.4%	2.3%	50.3%	0%	0%	0%	7
97.7%	48.5%	1.2%	50.3%	0%	0%	0%	8
98.8%	49.1%	0.6%	50.3%	0%	0%	0%	9
99.4%	49.4%	0.3%	50.3%	0%	0%	0%	10
99.7%	49.5%	0.1%	50.3%	0%	0%	0%	11
99.9%	49.6%	0.1%	50.3%	0%	0%	0%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample8.0s (83%)

Memory

128.1MiB live, 6 995.8MiB allocated; 1.7s collecting garbage

Samples

6.6s	4 058×	2	valid
998.0ms	4 181×	1	valid
1.0ms	17×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 7.2s

ival-tan: 6.7s (92.7% of total)

adjust: 240.0ms (3.3% of total)

ival-div!: 240.0ms (3.3% of total)

ival-sub!: 47.0ms (0.7% of total)

ival-assert: 0.0ms (0% of total)

ival-and: 0.0ms (0% of total)

ival-<: 0.0ms (0% of total)

Bogosity

preprocess39.0ms (0.4%)

Memory

-8.1MiB live, 37.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	68	24
2	333	24
3	1707	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.5%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Symmetry

(negabs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series5.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

6 → 18

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* -1/3 (pow x 2))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)))
#s(approx (tan x) #s(hole binary64 x))
#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 (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (cos x) (sin x))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) 1 x (/ 1 (tan x)) (tan x))
1.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) 1 x (/ 1 (tan x)) (tan x))
1.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) 1 x (/ 1 (tan x)) (tan x))

rewrite185.0ms (1.9%)

Memory

5.3MiB live, 109.5MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	291
0	96	284
1	580	283
0	5925	265

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

24 → 152

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* -1/3 (pow x 2))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)))
#s(approx (tan x) #s(hole binary64 x))
#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 (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (cos x) (sin x))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))

Outputs
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))))
(.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (-.f64 (tan.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) x)))
(.f64 (-.f64 (sin.f64 x) (.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) x)))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) x) (sin.f64 x))
(/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 x))) (.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (.f64 (neg.f64 (cos.f64 x)) x)) (.f64 (sin.f64 x) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (.f64 x (neg.f64 (cos.f64 x)))) (.f64 (sin.f64 x) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) (.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 x) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (tan.f64 x) (.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (tan.f64 x)) (.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))) (.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (tan.f64 x) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 (tan.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) (neg.f64 (.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) (.f64 (cos.f64 x) x)) (.f64 (sin.f64 x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (tan.f64 x) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(neg.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(-.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) x)) (/.f64 x (.f64 (tan.f64 x) x)))
(-.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) x)) (/.f64 (.f64 (cos.f64 x) x) (*.f64 (sin.f64 x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
x
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))))
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(pow.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 x))) (.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (cos.f64 x)) (.f64 #s(literal 2 binary64) (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (tan.f64 x))))
(/.f64 (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (tan.f64 x)) (tan.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (cos.f64 x) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(tan.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)) (PI.f64)))
(tan.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))) (.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (sin.f64 x)) (.f64 #s(literal 2 binary64) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (tan.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (sin.f64 x) (cos.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 (tan.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (/ 1 (tan x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (tan x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (tan x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (tan x)) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (tan x) x)
#s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #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 (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
#s(approx (/ 1 (tan x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (tan x) (tan.f64 x))

eval18.0ms (0.2%)

Memory: -20.5MiB live, 23.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 048 to 479 computations (54.3% saved)

prune4.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	143	4	147

Accuracy

99.5%

Counts

147 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
▶	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	98.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 54 to 52 computations (3.7% saved)

series11.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

21 → 69

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
#s(literal 1/4725 binary64)
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* 1/3 x) #s(hole binary64 (* 1/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 2/945))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (+ 2/945 (* 1/4725 (pow x 2)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* 1/4725 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/4725 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* 1/4725 (pow x 4))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* 1/4725 (pow x 2))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945) 1/4725 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))
3.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945) 1/4725 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))
2.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945) 1/4725 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))

Time

Variable

Point

Expression

4.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945) 1/4725 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))

3.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945) 1/4725 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))

2.0ms

((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945) 1/4725 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))

rewrite158.0ms (1.7%)

Memory

-19.6MiB live, 170.7MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	1786
0	234	1685
1	1104	1682
0	8667	1648

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

90 → 390

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
#s(literal 1/4725 binary64)
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* 1/3 x) #s(hole binary64 (* 1/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 2/945))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (+ 2/945 (* 1/4725 (pow x 2)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* 1/4725 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/4725 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* 1/4725 (pow x 4))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* 1/4725 (pow x 2))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
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#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(literal 2/945 binary64))
#s(approx (+ (* 1/4725 (* x x)) 2/945) (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* 2/945 (* x x)) 1/45) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4725 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal -1/4725 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal -1/4725 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal -2/945 binary64)) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) #s(literal -1/4725 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal 1/4725 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 2/945 binary64) (*.f64 x x)) #s(literal -1/4725 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal -2/945 binary64)) (.f64 x x)) #s(literal -1/4725 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal -2/945 binary64)) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) #s(literal -1/4725 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4725 binary64)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal -1/4725 binary64))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal -1/4725 binary64))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4725 binary64)))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 2/945 binary64) (*.f64 x x)) #s(literal -1/4725 binary64))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal -2/945 binary64)) (.f64 x x)) #s(literal -1/4725 binary64)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) (.f64 (.f64 #s(literal 1/4725 binary64) x) x))
#s(approx (+ (* 1/4725 (* x x)) 2/945) (.f64 (-.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal -1/4725 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 2/945 binary64)))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal -2/945 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal -2/945 binary64)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* 2/945 (* x x)) 1/45) (.f64 (.f64 #s(literal 2/945 binary64) x) x))
#s(approx (+ (* 2/945 (* x x)) 1/45) (.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal -2/945 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal -1/4725 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal -1/4725 binary64)) (/.f64 (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal -2/945 binary64)) (*.f64 x x)) #s(literal -1/4725 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))

eval51.0ms (0.5%)

Memory: 40.0MiB live, 84.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 5 851 to 1 985 computations (66.1% saved)

prune113.0ms (1.2%)

Memory

-59.4MiB live, 17.4MiB allocated; 144ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	415	6	421
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	415	10	425

Accuracy

100.0%

Counts

425 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x)))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	57.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x))) x))
✓	98.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	21.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64)))))
▶	36.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))))

Compiler

Compiled 324 to 302 computations (6.8% saved)

series23.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

43 → 96

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))) x)
(+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))
#s(literal 1/27 binary64)
(.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
#s(literal 1/91125 binary64)
(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
(+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(literal 1/9 binary64)
(.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x)))
(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
#s(literal -1/45 binary64)
(.f64 (.f64 x x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x))) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x))) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)))
(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x)))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x))
(.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/9 binary64))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 1/27))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (* 1/91125 (* (* (* x x) (* x x)) (* x x))) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (* (* (* x x) (* x x)) (* x x)) #s(hole binary64 (pow x 6)))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 1/9))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* -1/135 (pow x 2))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1/3 (* x x)) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 1/3))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) x) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) x) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) #s(hole binary64 (* 2/945 (pow x 3))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) #s(hole binary64 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x))) 1/91125 (* (* (* x x) (* x x)) (* x x)) (* (* x x) (* x x)) (* x x) x (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (- (/ 1/3 (* x x)) -1/45) (* x x)) (- (/ 1 x) (/ 1 (tan x))) (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x) (* (* (+ (* (* x x) 2/945) 1/45) x) x) (* (+ (* (* x x) 2/945) 1/45) x) (+ (* (* x x) 2/945) 1/45) 2/945 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* 1/2025 (* (* x x) (* x x))) -1/9) 1/2025 -1/9)
7.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x))) 1/91125 (* (* (* x x) (* x x)) (* x x)) (* (* x x) (* x x)) (* x x) x (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (- (/ 1/3 (* x x)) -1/45) (* x x)) (- (/ 1 x) (/ 1 (tan x))) (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x) (* (* (+ (* (* x x) 2/945) 1/45) x) x) (* (+ (* (* x x) 2/945) 1/45) x) (+ (* (* x x) 2/945) 1/45) 2/945 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* 1/2025 (* (* x x) (* x x))) -1/9) 1/2025 -1/9)
5.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x))) 1/91125 (* (* (* x x) (* x x)) (* x x)) (* (* x x) (* x x)) (* x x) x (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (- (/ 1/3 (* x x)) -1/45) (* x x)) (- (/ 1 x) (/ 1 (tan x))) (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x) (* (* (+ (* (* x x) 2/945) 1/45) x) x) (* (+ (* (* x x) 2/945) 1/45) x) (+ (* (* x x) 2/945) 1/45) 2/945 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* 1/2025 (* (* x x) (* x x))) -1/9) 1/2025 -1/9)

Time

Variable

Point

Expression

9.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x))) 1/91125 (* (* (* x x) (* x x)) (* x x)) (* (* x x) (* x x)) (* x x) x (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (- (/ 1/3 (* x x)) -1/45) (* x x)) (- (/ 1 x) (/ 1 (tan x))) (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x) (* (* (+ (* (* x x) 2/945) 1/45) x) x) (* (+ (* (* x x) 2/945) 1/45) x) (+ (* (* x x) 2/945) 1/45) 2/945 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* 1/2025 (* (* x x) (* x x))) -1/9) 1/2025 -1/9)

7.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x))) 1/91125 (* (* (* x x) (* x x)) (* x x)) (* (* x x) (* x x)) (* x x) x (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (- (/ 1/3 (* x x)) -1/45) (* x x)) (- (/ 1 x) (/ 1 (tan x))) (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x) (* (* (+ (* (* x x) 2/945) 1/45) x) x) (* (+ (* (* x x) 2/945) 1/45) x) (+ (* (* x x) 2/945) 1/45) 2/945 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* 1/2025 (* (* x x) (* x x))) -1/9) 1/2025 -1/9)

5.0ms

((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x))) 1/91125 (* (* (* x x) (* x x)) (* x x)) (* (* x x) (* x x)) (* x x) x (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (- (/ 1/3 (* x x)) -1/45) (* x x)) (- (/ 1 x) (/ 1 (tan x))) (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x) (* (* (+ (* (* x x) 2/945) 1/45) x) x) (* (+ (* (* x x) 2/945) 1/45) x) (+ (* (* x x) 2/945) 1/45) 2/945 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* 1/2025 (* (* x x) (* x x))) -1/9) 1/2025 -1/9)

rewrite170.0ms (1.8%)

Memory

10.8MiB live, 200.7MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	2462
0	334	2135
1	1355	2134
0	8378	2021

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

139 → 655

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))) x)
(+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))
#s(literal 1/27 binary64)
(.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
#s(literal 1/91125 binary64)
(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
(+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(literal 1/9 binary64)
(.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x)))
(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
#s(literal -1/45 binary64)
(.f64 (.f64 x x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x))) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x))) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)))
(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x)))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x))
(.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/9 binary64))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 1/27))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (* 1/91125 (* (* (* x x) (* x x)) (* x x))) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (* (* (* x x) (* x x)) (* x x)) #s(hole binary64 (pow x 6)))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 1/9))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* -1/135 (pow x 2))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1/3 (* x x)) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 1/3))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) x) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 2/945) 1/45) x) x) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) #s(hole binary64 (* 2/945 (pow x 3))))
#s(approx (* (+ (* (* x x) 2/945) 1/45) x) #s(hole binary64 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* x 1/3) (* (* (* (+ (* (* x x) 2/945) 1/45) x) x) x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64)))))
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eval98.0ms (1%)

Memory: -15.1MiB live, 118.3MiB allocated; 24ms collecting garbage
Compiler: Compiled 10 741 to 3 973 computations (63% saved)

prune20.0ms (0.2%)

Memory

34.9MiB live, 34.9MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	788	10	798
Fresh	1	0	1
Picked	4	1	5
Done	0	4	4
Total	793	15	808

Accuracy

100.0%

Counts

808 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x)))
	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))))
	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)) x))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
	56.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal -1/45 binary64)) (.f64 x x))) x))
▶	57.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
✓	98.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	36.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x))))
▶	36.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64)) (.f64 (*.f64 x x) x))))
	35.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx (- (/ 1/3 ( x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (*.f64 x x) x))))

Compiler

Compiled 542 to 504 computations (7% saved)

series30.0ms (0.3%)

Memory

-30.8MiB live, 22.8MiB allocated; 20ms collecting garbage

Counts

43 → 103

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))))
(/.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
(.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x)
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
x
(+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(literal 1/9 binary64)
(.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)
(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x)
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
#s(literal -1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64)) (.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64)) (.f64 (*.f64 x x) x)))
(.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64)) (.f64 (*.f64 x x) x))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(.f64 (.f64 x x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))
(.f64 #s(literal 1/2025 binary64) (.f64 x x))
#s(literal 1/2025 binary64)
(/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 1/27))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 1/9))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* -1/135 (pow x 2))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1/3 (* x x)) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (/ 1/3 x) (/ 1 x)) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (/ 1/3 x) (/ 1 x)) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* 1/2025 (* x x)) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))))
#s(approx (+ (* 1/45 (* x x)) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* 1/45 (* x x)) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ 1/3 x) (/ 1 x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (/ 1/3 x) (/ 1 x)) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (+ (* 1/45 (* x x)) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* 1/45 (* x x)) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) 1/27 x (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) (* (* x x) 1/45) (* x x) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* 1/2025 (* (* x x) (* x x))) -1/9) -1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (/ 1/3 x) (/ 1 x) 1 (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 (/ x (+ (* 1/45 (* x x)) -1/3)) (+ (* 1/45 (* x x)) -1/3))
5.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) 1/27 x (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) (* (* x x) 1/45) (* x x) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* 1/2025 (* (* x x) (* x x))) -1/9) -1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (/ 1/3 x) (/ 1 x) 1 (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 (/ x (+ (* 1/45 (* x x)) -1/3)) (+ (* 1/45 (* x x)) -1/3))
4.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) 1/27 x (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) (* (* x x) 1/45) (* x x) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* 1/2025 (* (* x x) (* x x))) -1/9) -1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (/ 1/3 x) (/ 1 x) 1 (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 (/ x (+ (* 1/45 (* x x)) -1/3)) (+ (* 1/45 (* x x)) -1/3))

Time

Variable

Point

Expression

6.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) 1/27 x (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) (* (* x x) 1/45) (* x x) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* 1/2025 (* (* x x) (* x x))) -1/9) -1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (/ 1/3 x) (/ 1 x) 1 (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 (/ x (+ (* 1/45 (* x x)) -1/3)) (+ (* 1/45 (* x x)) -1/3))

5.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) 1/27 x (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) (* (* x x) 1/45) (* x x) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* 1/2025 (* (* x x) (* x x))) -1/9) -1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (/ 1/3 x) (/ 1 x) 1 (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 (/ x (+ (* 1/45 (* x x)) -1/3)) (+ (* 1/45 (* x x)) -1/3))

4.0ms

((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) 1/27 x (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) (* (* x x) 1/45) (* x x) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* 1/2025 (* (* x x) (* x x))) -1/9) -1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (/ 1/3 x) (/ 1 x) 1 (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 (/ x (+ (* 1/45 (* x x)) -1/3)) (+ (* 1/45 (* x x)) -1/3))

rewrite158.0ms (1.6%)

Memory

18.2MiB live, 149.6MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	323	2597
0	369	2272
1	1665	2272
0	8096	2120

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

146 → 496

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))))
(/.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
(.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x)
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
x
(+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(literal 1/9 binary64)
(.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)
(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x)
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
#s(literal -1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64)) (.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64)) (.f64 (*.f64 x x) x)))
(.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64)) (.f64 (*.f64 x x) x))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(.f64 (.f64 x x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))
(.f64 #s(literal 1/2025 binary64) (.f64 x x))
#s(literal 1/2025 binary64)
(/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 1/27))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 1/9))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* -1/135 (pow x 2))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1/3 (* x x)) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (/ 1/3 x) (/ 1 x)) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (/ 1/3 x) (/ 1 x)) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* 1/2025 (* x x)) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))))
#s(approx (+ (* 1/45 (* x x)) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* 1/45 (* x x)) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ 1/3 x) (/ 1 x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (/ 1/3 x) (/ 1 x)) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (+ (* 1/45 (* x x)) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* 1/45 (* x x)) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64)))))
(.f64 (.f64 #s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64))))
(.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/9 binary64)) (.f64 #s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/9 binary64)) (.f64 #s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x))))
(/.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/9 binary64)) (.f64 #s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x)))
(.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x)
(.f64 x #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
x
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (neg.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x))) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) (.f64 (neg.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x))) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))))) (+.f64 #s(literal 1/9 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x))) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x))) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (fma.f64 (.f64 (neg.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x))) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) (.f64 (neg.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x))) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x))) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 2 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 2 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 2 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (*.f64 x x)))))))
(neg.f64 (-.f64 #s(literal -1/9 binary64) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x)))))
(fma.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 1/9 binary64))
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))))))
(-.f64 #s(literal 1/9 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x))) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 2 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))))))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 3 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 2 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))))))))
(+.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x))))
#s(literal 1/9 binary64)
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 #s(literal -1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x))))) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) x) x) (.f64 #s(literal -1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))))
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#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)))
#s(approx (* 1/2025 (* x x)) (.f64 #s(literal 1/2025 binary64) (.f64 x x)))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) (*.f64 #s(literal -3 binary64) x))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) (.f64 (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64)) x))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) (.f64 (fma.f64 (fma.f64 #s(literal -1/75 binary64) (.f64 x x) #s(literal -1/5 binary64)) (*.f64 x x) #s(literal -3 binary64)) x))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1125 binary64) (.f64 x x) #s(literal -1/75 binary64)) (.f64 x x) #s(literal -1/5 binary64)) (.f64 x x) #s(literal -3 binary64)) x))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (* x x) 1/45) -1/3) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (/ (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)))) (.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) x) x))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64)))
#s(approx (* (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64) #s(literal 1/91125 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/91125 binary64)))
#s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) (.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64) #s(literal 1/91125 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) (.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) x) x))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) (.f64 (+.f64 #s(literal 1/2025 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/135 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) (.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) x) x))
#s(approx (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (* x x) 1/45) -1/3) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) 1/45) -1/3) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) x) x))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal 1/2025 binary64)))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) (.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) x) x))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) x) x))
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x))
#s(approx (+ (* (/ 1/3 x) (/ 1 x)) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))
#s(approx (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (* (* x x) x)) (.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) x) x))
#s(approx (+ (* (/ 1/3 x) (/ 1 x)) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* (/ 1/3 x) (/ 1 x)) 1/45) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (/ (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) x) x))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) (.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) x) x))
#s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) (/.f64 #s(literal 45 binary64) x))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) (/.f64 (+.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) x))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 10125 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 675 binary64) (.f64 x x))) #s(literal 45 binary64)) x))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) (/.f64 (+.f64 (+.f64 (fma.f64 #s(literal 151875 binary64) (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 10125 binary64) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 #s(literal 675 binary64) (.f64 x x))) #s(literal 45 binary64)) x))
#s(approx (+ (* (* x x) 1/45) -1/3) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) 1/45) -1/3) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (* (+ (* 1/2025 (* (* x x) (* x x))) -1/9) x) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2025 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 10125 binary64) (.f64 x x)) #s(literal 675 binary64)) (.f64 x x))) #s(literal 45 binary64)) x)))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 151875 binary64) (.f64 x x)) #s(literal 10125 binary64)) (.f64 (.f64 (.f64 x x) x) x))) #s(literal 45 binary64)) (/.f64 #s(literal 675 binary64) (*.f64 x x))) x)))

eval62.0ms (0.6%)

Memory: 2.8MiB live, 99.7MiB allocated; 23ms collecting garbage
Compiler: Compiled 6 322 to 2 507 computations (60.3% saved)

prune20.0ms (0.2%)

Memory

-12.0MiB live, 33.8MiB allocated; 5ms collecting garbage

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	485	4	489
Fresh	4	1	5
Picked	5	0	5
Done	0	5	5
Total	494	10	504

Accuracy

100.0%

Counts

504 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x)))
	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
	98.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
	98.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) #s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(literal 1/9 binary64))))
	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
✓	98.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 483 to 359 computations (25.7% saved)

regimes13.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) #s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx (- (/ 1/3 ( x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x))) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64)) (.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal -1/45 binary64)) (.f64 x x))) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))

Outputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) x) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))))

Calls

2 calls:

6.0ms	x
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.5%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes16.0ms (0.2%)

Memory

-24.8MiB live, 20.3MiB allocated; 7ms collecting garbage

Counts

23 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) #s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx (- (/ 1/3 ( x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x))) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64)) (.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal -1/45 binary64)) (.f64 x x))) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Outputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))))

Calls

2 calls:

10.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.5%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) #s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx (- (/ 1/3 ( x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x))) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64)) (.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal -1/45 binary64)) (.f64 x x))) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) x)))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))

Calls

2 calls:

4.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.5%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) #s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx (- (/ 1/3 ( x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 #s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x))) x))

Outputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.4%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ 1/27 ( 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) #s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.3%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes22.0ms (0.2%)

Memory

-50.5MiB live, 6.2MiB allocated; 37ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) #s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(literal 1/9 binary64))))

#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ (* 1/2025 (* (* x x) (* x x))) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))

Outputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (+ 1/27 (* 1/91125 (* (* (* x x) (* x x)) (* x x)))) #s(literal 1/27 binary64)) x) #s(approx (+ 1/9 (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3))) #s(literal 1/9 binary64))))

Calls

2 calls:

21.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
98.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
98.9%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Calls

2 calls:

1.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
98.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
98.7%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations213.0ms (2.2%)

Memory

39.0MiB live, 172.7MiB allocated; 18ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 89 to 65 computations (27% saved)

preprocess181.0ms (1.9%)

Memory: -17.6MiB live, 168.6MiB allocated; 38ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 407 to 352 computations (13.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0%)

sample8.0s (83%)

preprocess39.0ms (0.4%)

series5.0ms (0%)

rewrite185.0ms (1.9%)

eval18.0ms (0.2%)

prune4.0ms (0%)

series11.0ms (0.1%)

rewrite158.0ms (1.7%)

eval51.0ms (0.5%)

prune113.0ms (1.2%)

series23.0ms (0.2%)

rewrite170.0ms (1.8%)

eval98.0ms (1%)

prune20.0ms (0.2%)

series30.0ms (0.3%)

rewrite158.0ms (1.6%)

eval62.0ms (0.6%)

prune20.0ms (0.2%)

regimes13.0ms (0.1%)

regimes16.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes22.0ms (0.2%)

regimes2.0ms (0%)

derivations213.0ms (2.2%)

preprocess181.0ms (1.9%)

end0.0ms (0%)

Profiling