Metrics for invcot (example 3.9)

start0.0ms (0%)

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

analyze3.0ms (0%)

Memory

5.7MiB live, 5.7MiB 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)

sample9.0s (87.4%)

Memory

30.5MiB live, 8 127.8MiB allocated; 3.4s collecting garbage

Samples

7.6s	4 011×	2	valid
1.1s	4 233×	1	valid
1.0ms	12×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.4s

ival-tan: 7.6s (91.1% of total)

adjust: 365.0ms (4.3% of total)

ival-div!: 332.0ms (4% of total)

ival-sub!: 47.0ms (0.6% of total)

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

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

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

Bogosity

preprocess88.0ms (0.9%)

Memory

-19.1MiB live, 27.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	56	24
2	223	24
3	942	24
4	7872	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.9%	(-.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

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

6 → 16

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 (* -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 (+ 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))

rewrite134.0ms (1.3%)

Memory

18.5MiB live, 155.6MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	279
0	94	275
1	508	275
0	4462	260

Stop Event

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

Counts

22 → 73

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

eval7.0ms (0.1%)

Memory: 14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 522 to 279 computations (46.6% saved)

prune3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	3	68

Accuracy

99.4%

Counts

68 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	#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))
▶	99.4%	#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))

Status

Accuracy

Program

▶

99.4%

#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))

▶

99.4%

#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 36 to 35 computations (2.8% saved)

series10.0ms (0.1%)

Memory

-33.5MiB live, 12.3MiB allocated; 5ms collecting garbage

Counts

14 → 26

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 (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(literal 2/945 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 x #s(hole binary64 x))
#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 (+ (* (+ (* 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 (* (+ (* (+ (* 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 (* (+ (* (+ (* 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
5.0ms	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))) (* (+ (* (+ (* 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) 2/945)
2.0ms	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))) (* (+ (* (+ (* 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) 2/945)
1.0ms	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))) (* (+ (* (+ (* 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) 2/945)

Time

Variable

Point

Expression

5.0ms

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))) (* (+ (* (+ (* 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) 2/945)

2.0ms

-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))) (* (+ (* (+ (* 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) 2/945)

1.0ms

((- (/ 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))) (* (+ (* (+ (* 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) 2/945)

rewrite142.0ms (1.4%)

Memory

27.9MiB live, 174.1MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	591
0	120	565
1	563	563
0	4276	553

Stop Event

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

Counts

40 → 201

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 (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(literal 2/945 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 x #s(hole binary64 x))
#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 (+ (* (+ (* 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 (* (+ (* (+ (* 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 (* (+ (* (+ (* 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 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.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 (.f64 x x) 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 (.f64 x x) 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 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))) (fma.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 x (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))) (-.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/9 binary64)) (.f64 #s(literal 1/135 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) 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 (.f64 x x) 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 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.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 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/9 binary64)) (.f64 #s(literal 1/135 binary64) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64))))))
(fma.f64 (.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/45 binary64)) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/45 binary64) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/45 binary64))))
(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) x))
(+.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) (.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/45 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.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 (neg.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/9 binary64)) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/9 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) (fma.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 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) (-.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/9 binary64)) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 #s(literal 1/45 binary64) x) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))) (/.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/45 binary64)))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/45 binary64) x)))
(-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/45 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.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 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64))) (fma.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 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64))) (-.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/9 binary64)) (.f64 #s(literal 1/135 binary64) (.f64 x x)))) (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/9 binary64)) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
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(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4/893025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/91125 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 4/893025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64)) (.f64 #s(literal 2/42525 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/2025 binary64) (.f64 #s(literal 4/893025 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))
(/.f64 (fma.f64 #s(literal 4/893025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/2025 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 4/893025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)) #s(literal 1/2025 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 4/893025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/91125 binary64)) (-.f64 (fma.f64 #s(literal 4/893025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64)) (.f64 #s(literal 2/42525 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 2/945 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 #s(literal 2/945 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(fma.f64 x (*.f64 #s(literal 2/945 binary64) x) #s(literal 1/45 binary64))
(-.f64 (/.f64 #s(literal 1/2025 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (/.f64 (.f64 #s(literal 4/893025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 4/893025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))) (/.f64 #s(literal 1/2025 binary64) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal -1/45 binary64))
(-.f64 #s(literal 1/45 binary64) (.f64 (neg.f64 (.f64 #s(literal 2/945 binary64) x)) x))
(-.f64 #s(literal 1/45 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 2/945 binary64)))
(-.f64 #s(literal 1/45 binary64) (.f64 #s(literal -2/945 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1/91125 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)) #s(literal 1/2025 binary64))) (/.f64 (.f64 (.f64 #s(literal 4/893025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 2/945 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)) #s(literal 1/2025 binary64))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 4/893025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 2/945 binary64))) (-.f64 (fma.f64 #s(literal 4/893025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64)) (.f64 #s(literal 2/42525 binary64) (.f64 x x)))) (/.f64 #s(literal 1/91125 binary64) (-.f64 (fma.f64 #s(literal 4/893025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64)) (.f64 #s(literal 2/42525 binary64) (*.f64 x x)))))
(+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))
#s(literal 2/945 binary64)
#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 (.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 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/4725 binary64) x) x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
#s(approx x x)
#s(approx (+ (* (* x x) 1/45) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (* x x) 1/45) 1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (* x x) (*.f64 x x))
#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 (neg.f64 (cos.f64 x)) (sin.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.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 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 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 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) 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 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (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 (.f64 x x) x) x) #s(literal 2/945 binary64)))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.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 (.f64 x x) x) x)))
#s(approx (+ (* 2/945 (* x x)) 1/45) (.f64 (.f64 x x) #s(literal 2/945 binary64)))
#s(approx (+ (* 2/945 (* x x)) 1/45) (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.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))))

eval23.0ms (0.2%)

Memory: 5.5MiB live, 53.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 181 to 859 computations (60.6% saved)

prune9.0ms (0.1%)

Memory

-27.9MiB live, 18.6MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	200	5	205
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	200	8	208

Accuracy

100.0%

Counts

208 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.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))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
▶	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (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))))
✓	99.4%	#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))
✓	99.4%	#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))
▶	46.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))

Compiler

Compiled 250 to 229 computations (8.4% saved)

series27.0ms (0.3%)

Memory

17.4MiB live, 64.0MiB allocated; 2ms collecting garbage

Counts

44 → 78

Calls

Call 1

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

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 (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2)))))) 1/9))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 -1/9))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9)))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2)))))) 1/9)))
#s(approx (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2))))))
#s(approx (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))) 1/3)))
#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 (* (* (+ (* (* 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) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#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 (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* 4/893025 (pow x 9))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 9) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 9) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 9) (- (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))) (* 1/9 (/ 1 (pow x 8)))))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* 4/893025 (pow x 8))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 8) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 8) (- (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))) (* 1/9 (/ 1 (pow x 8)))))))
#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 (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (* (pow x 4) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4))))))
#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) #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 (* 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 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#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)) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* -1 (/ (+ 4/42525 (* 1/2025 (/ 1 (pow x 2)))) (pow x 2))) 4/893025)))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/9 (/ 1 (pow x 8))) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 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)))))

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) (* (* (+ (* (* x x) 2/945) 1/45) x) x) (* (+ (* (* x x) 2/945) 1/45) x) (+ (* (* x x) 2/945) 1/45) (* x x) x 2/945 1/45 2 1/9 (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -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) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (- (/ 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)) (- (/ 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 (* (* (* x x) x) x) (* (* x x) x) -1/9 (+ (* (* x x) 1/45) -1/3) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) x) (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45) 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9))
7.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) (* (* (+ (* (* x x) 2/945) 1/45) x) x) (* (+ (* (* x x) 2/945) 1/45) x) (+ (* (* x x) 2/945) 1/45) (* x x) x 2/945 1/45 2 1/9 (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -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) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (- (/ 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)) (- (/ 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 (* (* (* x x) x) x) (* (* x x) x) -1/9 (+ (* (* x x) 1/45) -1/3) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) x) (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45) 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9))
6.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) (* (* (+ (* (* x x) 2/945) 1/45) x) x) (* (+ (* (* x x) 2/945) 1/45) x) (+ (* (* x x) 2/945) 1/45) (* x x) x 2/945 1/45 2 1/9 (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -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) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) 1/3 -1/45 (- (/ 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)) (- (/ 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 (* (* (* x x) x) x) (* (* x x) x) -1/9 (+ (* (* x x) 1/45) -1/3) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) x) (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45) 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9))

Time

Variable

Point

Expression

11.0ms

inf

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

7.0ms

-inf

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

6.0ms

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

rewrite199.0ms (1.9%)

Memory

10.3MiB live, 271.8MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	310	2363
0	374	2179
1	1551	2115
0	8335	2016

Stop Event

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

Counts

122 → 538

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (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))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (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)))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x)
(-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64))
(.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))
(*.f64 x x)
x
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 2 binary64)
#s(literal 1/9 binary64)
(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(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 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))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (.f64 x x)))
(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) 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 (.f64 x x) 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 (.f64 x x) x) x) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64))
#s(literal 1/2025 binary64)
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
#s(literal -1/9 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 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.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 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.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 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x)
(fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))
(.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
#s(literal 1/27 binary64)
(fma.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))
#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 (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2)))))) 1/9))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 -1/9))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9)))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2)))))) 1/9)))
#s(approx (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2))))))
#s(approx (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))) 1/3)))
#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 (* (* (+ (* (* 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) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#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 (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* 4/893025 (pow x 9))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 9) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 9) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 9) (- (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))) (* 1/9 (/ 1 (pow x 8)))))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* 4/893025 (pow x 8))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 8) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 8) (- (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))) (* 1/9 (/ 1 (pow x 8)))))))
#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 (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (* (pow x 4) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4))))))
#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) #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 (* 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 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#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)) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* -1 (/ (+ 4/42525 (* 1/2025 (/ 1 (pow x 2)))) (pow x 2))) 4/893025)))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/9 (/ 1 (pow x 8))) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 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)))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal -1/3 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal -1/3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal -1/9 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal -1/3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 6 binary64)) #s(literal 1/729 binary64)) x) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 4 binary64)) (+.f64 #s(literal 1/81 binary64) (.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x))) (neg.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x)) (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal -1/3 binary64))))
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(.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) x)) x)
(.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) (.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64))
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(.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x))
(.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.f64 x x)))
(pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(.f64 x (.f64 #s(literal 1/45 binary64) x))
#s(literal 1/27 binary64)
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(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))
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#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (*.f64 x x)) #s(literal -1/9 binary64)))
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#s(approx (* (+ (* (* x x) 2/945) 1/45) x) (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x))
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#s(approx (* x x) (*.f64 x x))
#s(approx x x)
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#s(approx (+ (* (* x x) 2/945) 1/45) (.f64 #s(literal 2/945 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) 2/945) 1/45) (.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) (.f64 (+.f64 #s(literal 2/945 binary64) (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 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 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) 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 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) (*.f64 (pow.f64 x #s(literal 5 binary64)) #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))) (pow.f64 x #s(literal 5 binary64))))
#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) (.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)) (* (* x x) 1/45)) 1/27) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64)))
#s(approx (* (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) 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 (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/91125 binary64)))
#s(approx (+ (* (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64) #s(literal 1/91125 binary64))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (.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) (+ (* (* x x) 1/45) -1/3)) 1/9) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1/2025 binary64)) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) (neg.f64 (.f64 (-.f64 (/.f64 (neg.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 (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (neg.f64 (.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal -4/42525 binary64))) (*.f64 x x)) #s(literal 4/893025 binary64)) (pow.f64 x #s(literal 9 binary64)))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (neg.f64 (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 1/9 binary64) #s(literal -4/893025 binary64)) (+.f64 (/.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 4/42525 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 9 binary64)))))
#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)) (pow.f64 x #s(literal 5 binary64)))))

eval79.0ms (0.8%)

Memory: 14.2MiB live, 104.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 9 818 to 3 610 computations (63.2% saved)

prune27.0ms (0.3%)

Memory

-23.1MiB live, 30.3MiB allocated; 14ms collecting garbage

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	658	10	668
Fresh	0	0	0
Picked	4	1	5
Done	0	3	3
Total	662	14	676

Accuracy

100.0%

Counts

676 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)))))
▶	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal -1/9 binary64))) x) (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))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) x) (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))))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) (fma.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))))
✓	99.4%	#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))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (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)))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.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)))))
✓	99.4%	#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))
	31.8%	#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))))
	45.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 x x))))
▶	52.0%	#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) x) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)) (.f64 x x))))
▶	51.3%	#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) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))

Compiler

Compiled 572 to 530 computations (7.3% saved)

series13.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Counts

35 → 64

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal -1/9 binary64))) x) (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))))
(/.f64 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal -1/9 binary64))) x) (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)))
(.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (*.f64 x x)) #s(literal -1/9 binary64))) x)
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (*.f64 x x)) #s(literal -1/9 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (*.f64 x x)) #s(literal -1/9 binary64))
(*.f64 x x)
x
(.f64 #s(literal 1/2025 binary64) (.f64 x x))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
(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))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
#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) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)))
(.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#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) x) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)) (.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)) (.f64 x x)))
(.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)) (.f64 x x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) 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 (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) x) (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))))
(/.f64 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) x) (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)))
(.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) x)
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.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 x x) (.f64 #s(literal 1/2025 binary64) (.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 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 (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2)))))) 1/9))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 -1/9))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9)))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2)))))) 1/9)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2025 (* x x)) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))) 1/3)))
#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 (* (- (/ 1/3 (* 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 (+ (* 1/45 (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* 1/45 (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (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 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 (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* 4/893025 (pow x 9))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 9) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 9) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 9) (- (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))) (* 1/9 (/ 1 (pow x 8)))))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* 4/893025 (pow x 8))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 8) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 8) (- (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))) (* 1/9 (/ 1 (pow x 8)))))))
#s(approx (+ (* (* x x) (* 1/2025 (* x x))) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* x x) (* 1/2025 (* x x))) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (* (pow x 4) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4))))))
#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 (* (+ (* (* 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) #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 (+ (* 1/45 (* 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 (/ 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 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* -1 (/ (+ 4/42525 (* 1/2025 (/ 1 (pow x 2)))) (pow x 2))) 4/893025)))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/9 (/ 1 (pow x 8))) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))))))
#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
4.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (+ (* (* x x) (* 1/2025 (* x x))) -1/9) (* x x) x (* 1/2025 (* x x)) 1/2025 -1/9 (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) (+ (* (* x x) 2/945) 1/45) 2/945 1/45 -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) x) (/ 1/3 x) 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) x) (/ (+ (* 1/45 (* x x)) 1/3) x) (+ (* 1/45 (* x x)) 1/3) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) (* 1/2025 (* x x))) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) (/ x (+ (* 1/45 (* x x)) -1/3)) (+ (* 1/45 (* x x)) -1/3))
4.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (+ (* (* x x) (* 1/2025 (* x x))) -1/9) (* x x) x (* 1/2025 (* x x)) 1/2025 -1/9 (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) (+ (* (* x x) 2/945) 1/45) 2/945 1/45 -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) x) (/ 1/3 x) 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) x) (/ (+ (* 1/45 (* x x)) 1/3) x) (+ (* 1/45 (* x x)) 1/3) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) (* 1/2025 (* x x))) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) (/ x (+ (* 1/45 (* x x)) -1/3)) (+ (* 1/45 (* x x)) -1/3))
3.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (+ (* (* x x) (* 1/2025 (* x x))) -1/9) (* x x) x (* 1/2025 (* x x)) 1/2025 -1/9 (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) (+ (* (* x x) 2/945) 1/45) 2/945 1/45 -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) x) (/ 1/3 x) 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) x) (/ (+ (* 1/45 (* x x)) 1/3) x) (+ (* 1/45 (* x x)) 1/3) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) (* 1/2025 (* x x))) -1/9) (/ x (+ (* 1/45 (* x x)) -1/3))) (/ x (+ (* 1/45 (* x x)) -1/3)) (+ (* 1/45 (* x x)) -1/3))

Time

Variable

Point

Expression

4.0ms

-inf

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

4.0ms

inf

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

3.0ms

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

rewrite142.0ms (1.4%)

Memory

28.5MiB live, 118.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	301	2087
0	338	2007
1	1531	1980
0	8213	1937

Stop Event

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

Counts

99 → 255

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal -1/9 binary64))) x) (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))))
(/.f64 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal -1/9 binary64))) x) (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)))
(.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (*.f64 x x)) #s(literal -1/9 binary64))) x)
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (*.f64 x x)) #s(literal -1/9 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (*.f64 x x)) #s(literal -1/9 binary64))
(*.f64 x x)
x
(.f64 #s(literal 1/2025 binary64) (.f64 x x))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
(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))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
#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) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)))
(.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#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) x) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)) (.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)) (.f64 x x)))
(.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)) (.f64 x x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) 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 (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) x) (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))))
(/.f64 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) x) (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)))
(.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) x)
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.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 x x) (.f64 #s(literal 1/2025 binary64) (.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 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 (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2)))))) 1/9))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 -1/9))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* 4/42525 (pow x 2)))) 1/9)))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (- (* (pow x 4) (+ 1/2025 (* (pow x 2) (+ 4/42525 (* 4/893025 (pow x 2)))))) 1/9)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2025 (* x x)) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))) 1/3)))
#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 (* (- (/ 1/3 (* 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 (+ (* 1/45 (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* 1/45 (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (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 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 (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* 4/893025 (pow x 9))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 9) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 9) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* (pow x 9) (- (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))) (* 1/9 (/ 1 (pow x 8)))))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* 4/893025 (pow x 8))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 8) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2)))))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 8) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(hole binary64 (* (pow x 8) (- (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))) (* 1/9 (/ 1 (pow x 8)))))))
#s(approx (+ (* (* x x) (* 1/2025 (* x x))) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* x x) (* 1/2025 (* x x))) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(hole binary64 (* (pow x 4) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4))))))
#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 (* (+ (* (* 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) #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 (+ (* 1/45 (* 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 (/ 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 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* -1 (/ (+ 4/42525 (* 1/2025 (/ 1 (pow x 2)))) (pow x 2))) 4/893025)))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/9 (/ 1 (pow x 8))) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2))))))))))
#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 (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2025 binary64) x) x) #s(literal -1/9 binary64))) (/.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2025 binary64) x) x) #s(literal -1/9 binary64))) (/.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2025 binary64) x) x) #s(literal -1/9 binary64))) x))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2025 binary64) x) x) #s(literal -1/9 binary64))) x)) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(/.f64 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2025 binary64) x) x) #s(literal -1/9 binary64))) x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 (*.f64 #s(literal 1/2025 binary64) x) x) #s(literal -1/9 binary64))) x)
(.f64 x #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 (*.f64 #s(literal 1/2025 binary64) x) x) #s(literal -1/9 binary64))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 (*.f64 #s(literal 1/2025 binary64) x) x) #s(literal -1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64))) (-.f64 #s(literal -1/9 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64))))
(/.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) (.f64 #s(literal -1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64))) (neg.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/45 binary64)) (.f64 (.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/9 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64))) (fabs.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64))) #s(literal -1/9 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64))) (neg.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64))) #s(literal -1/9 binary64))
(fma.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) (.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal -1/9 binary64))
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/9 binary64))
(fma.f64 (.f64 x x) (.f64 (*.f64 #s(literal 1/2025 binary64) x) x) #s(literal -1/9 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/2025 binary64) x) x) (*.f64 x x) #s(literal -1/9 binary64))
(fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/9 binary64))
(fma.f64 x (.f64 x (.f64 (*.f64 #s(literal 1/2025 binary64) x) x)) #s(literal -1/9 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))))) (/.f64 #s(literal -1/729 binary64) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))))))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(+.f64 #s(literal -1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
(.f64 (.f64 (fabs.f64 x) #s(literal -1/45 binary64)) (*.f64 (fabs.f64 x) #s(literal -1/45 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1/45 binary64)) (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal -1/45 binary64)) (*.f64 (neg.f64 x) #s(literal -1/45 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1/45 binary64)) (*.f64 (neg.f64 x) #s(literal 1/45 binary64)))
(.f64 (.f64 x #s(literal -1/45 binary64)) (*.f64 x #s(literal -1/45 binary64)))
(.f64 (.f64 #s(literal -1/45 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/45 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal -1/45 binary64) (neg.f64 x)) (*.f64 #s(literal -1/45 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal -1/45 binary64) x) (*.f64 #s(literal -1/45 binary64) x))
(.f64 (.f64 #s(literal 1/45 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/45 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1/45 binary64) (neg.f64 x)) (*.f64 #s(literal 1/45 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1/2025 binary64) x) x)
(.f64 (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/45 binary64) x))
(.f64 (.f64 x x) #s(literal 1/2025 binary64))
(.f64 #s(literal 1/2025 binary64) (.f64 x x))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 2 binary64)) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 1/2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) #s(literal 1 binary64)) x #s(literal -1/3 binary64))
(fma.f64 (.f64 x x) (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x #s(literal -1/3 binary64))
(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))
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(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2025 binary64) x) x) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64))) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))))
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(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))))
(/.f64 (.f64 x (fma.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) (neg.f64 x)) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) x) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (neg.f64 x)) (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2025 binary64) x) x) #s(literal -1/9 binary64)) x)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2025 binary64) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/91125 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64))) (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 x (*.f64 #s(literal 1/45 binary64) x) #s(literal -1/3 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/91125 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#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 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.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)) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (*.f64 #s(literal -1/9 binary64) x))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal 4/42525 binary64) (.f64 x x) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) x))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 4/893025 binary64) (.f64 x x) #s(literal 4/42525 binary64)) (.f64 x x) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64)) x))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (-.f64 (.f64 (fma.f64 #s(literal 4/42525 binary64) (.f64 x x) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64)))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 4/893025 binary64) (.f64 x x) #s(literal 4/42525 binary64)) (.f64 x x) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* 1/2025 (* x x)) (.f64 (.f64 #s(literal 1/2025 binary64) x) x))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) (-.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* (* x x) 2/945) 1/45) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (+ (* 1/45 (* x x)) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* 1/45 (* x x)) 1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#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 (-.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x))
#s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) (.f64 (-.f64 (.f64 (-.f64 (.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 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.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 (- (/ 1 x) (/ 1 (tan x))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64)))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 4/893025 binary64)))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 4/42525 binary64) (.f64 x x)) #s(literal 4/893025 binary64))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 4/42525 binary64) (*.f64 x x))) #s(literal 4/893025 binary64)) (pow.f64 x #s(literal 9 binary64))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 4/42525 binary64) (.f64 x x))) #s(literal 4/893025 binary64)) (.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 1/9 binary64))) (pow.f64 x #s(literal 9 binary64))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 4/893025 binary64)))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 4/42525 binary64) (.f64 x x)) #s(literal 4/893025 binary64))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 4/42525 binary64) (*.f64 x x))) #s(literal 4/893025 binary64))))
#s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 4/42525 binary64) (.f64 x x))) #s(literal 4/893025 binary64)) (.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 1/9 binary64))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (+ (* (* x x) (* 1/2025 (* x x))) -1/9) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)))
#s(approx (+ (* (* x x) (* 1/2025 (* x x))) -1/9) (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 2/945 binary64)))
#s(approx (+ (* (+ (* (* x x) 2/945) 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 (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) (.f64 (+.f64 #s(literal 2/945 binary64) (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* (* x x) 2/945) 1/45) (.f64 (.f64 x x) #s(literal 2/945 binary64)))
#s(approx (+ (* (* x x) 2/945) 1/45) (.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64)) (*.f64 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 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (.f64 (.f64 x 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 (+ (* 1/45 (* x x)) 1/3) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* 1/45 (* x x)) 1/3) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (*.f64 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 x x) (.f64 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 (/.f64 #s(literal 675 binary64) (.f64 x x)) #s(literal 45 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 151875 binary64) (/.f64 #s(literal 10125 binary64) (.f64 (.f64 x x) (.f64 x x))))) x))
#s(approx (+ (* 1/45 (* x x)) -1/3) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3)) (neg.f64 (.f64 (-.f64 (neg.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 (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal 4/42525 binary64)) (*.f64 x x))) #s(literal 4/893025 binary64)) (pow.f64 x #s(literal 9 binary64)))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) x) (neg.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 1/9 binary64)) #s(literal 4/893025 binary64)) (+.f64 (/.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 4/42525 binary64) (.f64 x x)))) (pow.f64 x #s(literal 9 binary64)))))
#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 x x) (.f64 x x)))) #s(literal 45 binary64)) (/.f64 #s(literal 675 binary64) (*.f64 x x))) x)))

eval70.0ms (0.7%)

Memory: -35.7MiB live, 58.8MiB allocated; 58ms collecting garbage
Compiler: Compiled 5 213 to 1 805 computations (65.4% saved)

prune14.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	375	4	379
Fresh	1	4	5
Picked	3	2	5
Done	0	4	4
Total	379	14	393

Accuracy

100.0%

Counts

393 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)))))
✓	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal -1/9 binary64))) x) (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))))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) x) (fma.f64 #s(approx (+ (* (* x x) 2/945) 1/45) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64))))
	98.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(literal -1/3 binary64))))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) (fma.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))))
✓	99.4%	#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))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (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)))))
	98.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal -1/9 binary64)) #s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) (*.f64 #s(literal -3 binary64) x))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
✓	98.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	45.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 x x))))
✓	51.3%	#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) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))

Compiler

Compiled 606 to 469 computations (22.6% saved)

regimes12.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms 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 (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #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) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x 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 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) x) (fma.f64 #s(approx (+ (* (* x x) 2/945) 1/45) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 x x))))
#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) x) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x 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 (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 x x) (.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal -1/9 binary64)) #s(approx (/ x (+ (* 1/45 (* x x)) -1/3)) (*.f64 #s(literal -3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) x) (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 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* 1/2025 (* (* (* x x) x) x)) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) (fma.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))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.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 (.f64 x x) 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 (.f64 #s(approx (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal -1/9 binary64))) x) (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))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (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)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.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))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/2025 binary64) (.f64 x x)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (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))))

Outputs

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

Calls

2 calls:

6.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.7%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes13.0ms (0.1%)

Memory

-32.4MiB live, 16.2MiB allocated; 7ms collecting garbage

Counts

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

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

Outputs

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

Calls

2 calls:

9.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.6%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB 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 (- (pow ( (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #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) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x 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))

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
99.4%	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

5.2MiB live, 5.3MiB allocated; 0ms 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 (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #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) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))

Outputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (- (pow (* (* (+ (* (* x x) 2/945) 1/45) x) x) 2) 1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* x x)) -1/3) #s(literal -1/3 binary64))))

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
98.9%	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

4.2MiB live, 4.2MiB 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 (2.1%)

Memory

-19.9MiB live, 117.3MiB allocated; 26ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 75 to 49 computations (34.7% saved)

preprocess59.0ms (0.6%)

Memory: 32.5MiB live, 76.1MiB allocated; 12ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 333 to 284 computations (14.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0%)

sample9.0s (87.4%)

preprocess88.0ms (0.9%)

series5.0ms (0%)

rewrite134.0ms (1.3%)

eval7.0ms (0.1%)

prune3.0ms (0%)

series10.0ms (0.1%)

rewrite142.0ms (1.4%)

eval23.0ms (0.2%)

prune9.0ms (0.1%)

series27.0ms (0.3%)

rewrite199.0ms (1.9%)

eval79.0ms (0.8%)

prune27.0ms (0.3%)

series13.0ms (0.1%)

rewrite142.0ms (1.4%)

eval70.0ms (0.7%)

prune14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

derivations213.0ms (2.1%)

preprocess59.0ms (0.6%)

end0.0ms (0%)

Profiling