Metrics for invcot (example 3.9)

start0.0ms (0%)

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

analyze4.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample8.5s (83.9%)

Memory

153.0MiB live, 8 502.1MiB allocated; 2.0s collecting garbage

Samples

7.0s	4 035×	2	valid
1.2s	4 212×	1	valid
1.0ms	9×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 7.9s

ival-tan: 7.3s (92% of total)

ival-div!: 295.0ms (3.7% of total)

adjust: 289.0ms (3.7% of total)

ival-sub!: 48.0ms (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

preprocess68.0ms (0.7%)

Memory

-13.7MiB live, 31.9MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	21	25
2	36	24
3	70	24
4	177	24
5	1044	24
6	5520	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.7%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Symmetry

(negabs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series5.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

6 → 18

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* -1/3 (pow x 2))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (cos x) (sin x))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))

Calls

3 calls:

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

rewrite149.0ms (1.5%)

Memory

14.5MiB live, 159.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	291
0	96	287
1	510	287
0	4508	272

Stop Event

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

Counts

24 → 75

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* -1/3 (pow x 2))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (cos x) (sin x))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))

Outputs
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (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) (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 (-.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) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
x
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.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) (tan.f64 x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (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 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))) (.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (sin.f64 x)) (.f64 #s(literal 2 binary64) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (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 #s(literal 1 binary64) x))
#s(approx (/ 1 (tan x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (tan x)) (/.f64 (fma.f64 (-.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) 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: 12.8MiB live, 12.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 532 to 285 computations (46.4% saved)

prune3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	2	71

Accuracy

99.5%

Counts

71 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 21 to 21 computations (0% saved)

series72.0ms (0.7%)

Memory

-37.3MiB live, 9.7MiB allocated; 3ms collecting garbage

Counts

9 → 17

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)

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

Calls

3 calls:

Time	Variable		Point	Expression
68.0ms	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)
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)
1.0ms	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)

Time

Variable

Point

Expression

68.0ms

((- (/ 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)

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)

1.0ms

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)

rewrite102.0ms (1%)

Memory

14.1MiB live, 112.1MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	307
0	73	299
1	346	299
0	2727	292

Stop Event

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

Counts

26 → 95

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

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 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64))) x) (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (.f64 #s(literal 1/135 binary64) (.f64 x x))))
(/.f64 (.f64 x (-.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 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #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 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 (.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 1/45 binary64) (.f64 (.f64 x x) x) (*.f64 #s(literal 1/3 binary64) x))
(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 (.f64 #s(literal -1/45 binary64) (.f64 x x)) x))
(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/45 binary64))))
(+.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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) (.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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))))
(/.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 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #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 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 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 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 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (.f64 #s(literal 1/135 binary64) (.f64 x x)))) (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #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 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.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))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#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 (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 (* 1/3 x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx x x)
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (* x x) 1/45) 1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (* x x) (*.f64 x 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 (* (+ (* (* 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 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (*.f64 x x)))

eval9.0ms (0.1%)

Memory: 21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 772 to 363 computations (53% saved)

prune9.0ms (0.1%)

Memory

-29.8MiB live, 14.8MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	81	8	89

Accuracy

99.9%

Counts

89 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
▶	54.5%	#s(approx (- (/ 1 x) (/ 1 (tan 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)))))
	35.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.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)))))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
▶	35.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x))))

Compiler

Compiled 301 to 245 computations (18.6% saved)

series25.0ms (0.2%)

Memory

3.1MiB live, 48.3MiB allocated; 3ms collecting garbage

Counts

38 → 81

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) (* (* (* x x) (* x x)) 1/2025) (* (* x x) (* x x)) (* x x) x 1/2025 (* (* x x) 1/45) 1/45 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (+ (* (* x x) 1/45) -1/3) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* (* x x) x) (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) (- 1/45 (/ -1/3 (* x x))) (/ -1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) -1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45)) (* (* (* x x) x) 1/45) (- (* 1/3 x) (* (* (* x x) x) 1/45)))
7.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) (* (* (* x x) (* x x)) 1/2025) (* (* x x) (* x x)) (* x x) x 1/2025 (* (* x x) 1/45) 1/45 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (+ (* (* x x) 1/45) -1/3) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* (* x x) x) (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) (- 1/45 (/ -1/3 (* x x))) (/ -1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) -1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45)) (* (* (* x x) x) 1/45) (- (* 1/3 x) (* (* (* x x) x) 1/45)))
6.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) (* (* (* x x) (* x x)) 1/2025) (* (* x x) (* x x)) (* x x) x 1/2025 (* (* x x) 1/45) 1/45 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (+ (* (* x x) 1/45) -1/3) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* (* x x) x) (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) (- 1/45 (/ -1/3 (* x x))) (/ -1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) -1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45)) (* (* (* x x) x) 1/45) (- (* 1/3 x) (* (* (* x x) x) 1/45)))

Time

Variable

Point

Expression

9.0ms

-inf

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

7.0ms

inf

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

6.0ms

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

rewrite553.0ms (5.5%)

Memory

-56.6MiB live, 243.8MiB allocated; 697ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	2270
0	313	2109
1	1115	1563
0	8478	1485

Stop Event

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

Counts

119 → 1 183

Calls

Call 1

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

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))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/27 binary64)) x) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) (.f64 x x) #s(literal -1/9 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/27 binary64)) x) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (.f64 x x) #s(literal -1/9 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (.f64 x x) #s(literal -1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (.f64 x x) #s(literal -1/9 binary64)) x) (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/27 binary64))) (fma.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2025 binary64) x) (.f64 (.f64 x x) x) #s(literal 1/9 binary64)) x) x) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/27 binary64)) (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/91125 binary64)))) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 x x)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))))
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(.f64 (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/27 binary64)))
(.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (*.f64 x x) #s(literal -1/9 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (.f64 x x) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) (/.f64 (.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)))
(.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 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))) (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x) #s(literal -1/27 binary64)))
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(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2025 binary64) x) (.f64 (.f64 x x) x) #s(literal 1/9 binary64)) x) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 #s(literal -1/2025 binary64) x) (.f64 (.f64 x x) x) #s(literal 1/9 binary64))) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)) (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)) (/.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)))) (fma.f64 (.f64 x #s(literal 1/9 binary64)) (/.f64 x (.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)) (/.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))))
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(fma.f64 (.f64 x #s(literal 1/9 binary64)) x (.f64 (.f64 #s(literal -1/2025 binary64) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x)))
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(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/9 binary64)) (neg.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x))))
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(fma.f64 (.f64 (.f64 #s(literal -1/2025 binary64) x) (.f64 (.f64 x x) x)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(fma.f64 #s(literal -1/2025 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/45 binary64) x) (*.f64 x x)))) #s(literal 1/45 binary64)))
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(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal -1/2025 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))
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(fma.f64 (.f64 #s(literal -1/45 binary64) (.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 (.f64 x x) x) #s(literal -1/45 binary64) (*.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))
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(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 #s(literal -1/45 binary64) (*.f64 x x)) x))
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#s(approx (* (* x x) (* x x)) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
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#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(literal 1/9 binary64))
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#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
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#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64)))
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#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) x)) x))
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#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
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#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) (.f64 (.f64 #s(literal 1/45 binary64) x) (*.f64 x x)))
#s(approx (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (- 1/45 (/ -1/3 (* x x))) #s(literal 1/45 binary64))
#s(approx (- 1/45 (/ -1/3 (* x x))) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(literal 1/45 binary64) x) (*.f64 x x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -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 (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (.f64 (.f64 #s(literal 1/2025 binary64) x) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (.f64 (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (*.f64 x x) x)) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(literal 1/45 binary64) x) (*.f64 x x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 #s(literal -1/2025 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))
#s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x)))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) (.f64 (.f64 #s(literal -1/45 binary64) (*.f64 x x)) x))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) (.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) (* x x)) 1/2025) -1/9) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2025 binary64)))))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) (.f64 (.f64 (.f64 (neg.f64 x) x) x) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))))

eval146.0ms (1.4%)

Memory: 0.3MiB live, 321.4MiB allocated; 39ms collecting garbage
Compiler: Compiled 14 460 to 5 385 computations (62.8% saved)

prune32.0ms (0.3%)

Memory

26.8MiB live, 77.9MiB allocated; 8ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	1 317	8	1 325
Fresh	1	0	1
Picked	4	1	5
Done	0	2	2
Total	1 322	11	1 333

Accuracy

100.0%

Counts

1 333 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* 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))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
▶	54.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))))
✓	99.5%	#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 (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (*.f64 x x) #s(literal -1/9 binary64))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	35.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64)) (.f64 (*.f64 x x) x))))
▶	35.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) x)) (.f64 (*.f64 x x) x))))
	49.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) x) (.f64 x x))))

Compiler

Compiled 422 to 392 computations (7.1% saved)

series26.0ms (0.3%)

Memory

17.6MiB live, 63.5MiB allocated; 4ms collecting garbage

Counts

43 → 109

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (*.f64 x x) #s(literal -1/9 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (*.f64 x x) #s(literal -1/9 binary64)))
(/.f64 x (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(literal -1/3 binary64)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (*.f64 x x) #s(literal -1/9 binary64))
(.f64 (.f64 x x) #s(literal 1/2025 binary64))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) x)) (.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) x)) (.f64 (*.f64 x x) x)))
(.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) x)) (.f64 (*.f64 x x) x))
(-.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) x))
(/.f64 (/.f64 #s(literal -1/3 binary64) x) x)
(/.f64 #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))))
(/.f64 #s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64))))
#s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
(.f64 (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x) #s(literal 1/27 binary64))
(.f64 #s(literal 1/91125 binary64) (.f64 (*.f64 x x) x))
#s(literal 1/91125 binary64)
#s(literal 1/27 binary64)
(/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))
#s(literal -1/135 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 (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))))
#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 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (* x x) 1/2025) (* x x)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (* (* x x) 1/2025) (* x x)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* (* x x) 1/2025) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- 1/45 (/ (/ -1/3 x) x)) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- 1/45 (/ (/ -1/3 x) x)) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ (/ -1/3 x) x) #s(hole binary64 (/ -1/3 (pow x 2))))
#s(approx (/ -1/3 x) #s(hole binary64 (/ -1/3 x)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) #s(hole binary64 (* 1/9 (pow x 2))))
#s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) #s(hole binary64 (* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))))
#s(approx (* (* x x) 1/9) #s(hole binary64 (* 1/9 (pow x 2))))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) #s(hole binary64 (* 1/3 x)))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) #s(hole binary64 (* x (+ 1/3 (* -1/45 (pow x 2))))))
#s(approx (* 1/3 x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (* (* x x) x) 1/45) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (* 1/91125 (* (* x x) x)) #s(hole binary64 (* 1/91125 (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* 9 x)))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* 3/5 (pow x 2))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* -1/135 x)))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 2)) 1/135))))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 -1/135))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 (- (* 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 (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/2025) (* 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) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- 1/45 (/ (/ -1/3 x) x)) #s(hole binary64 1/45))
#s(approx (- 1/45 (/ (/ -1/3 x) x)) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) #s(hole binary64 (* -1/2025 (pow x 6))))
#s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) #s(hole binary64 (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) #s(hole binary64 (* -1/45 (pow x 3))))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) #s(hole binary64 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ 2025 (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* 1/2025 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* (pow x 3) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 (* (pow x 2) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/135 (/ 1 (pow x 2))) 1/2025)))))

Calls

3 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) (/ x (+ (* (* x x) 1/45) -1/3)) x (+ (* (* x x) 1/45) -1/3) (* x x) 1/45 -1/3 (+ (* (* (* x x) 1/2025) (* x x)) -1/9) (* (* x x) 1/2025) 1/2025 -1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) (- 1/45 (/ (/ -1/3 x) x)) (/ (/ -1/3 x) x) (/ -1/3 x) (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (* (* x x) 1/9) 1/9 (- (* 1/3 x) (* (* (* x x) x) 1/45)) (* 1/3 x) 1/3 (* (* (* x x) x) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (* 1/91125 (* (* x x) x)) 1/91125 1/27 (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) (* (+ (* (* x x) 1/2025) -1/135) x) (+ (* (* x x) 1/2025) -1/135) -1/135)
7.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) (/ x (+ (* (* x x) 1/45) -1/3)) x (+ (* (* x x) 1/45) -1/3) (* x x) 1/45 -1/3 (+ (* (* (* x x) 1/2025) (* x x)) -1/9) (* (* x x) 1/2025) 1/2025 -1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) (- 1/45 (/ (/ -1/3 x) x)) (/ (/ -1/3 x) x) (/ -1/3 x) (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (* (* x x) 1/9) 1/9 (- (* 1/3 x) (* (* (* x x) x) 1/45)) (* 1/3 x) 1/3 (* (* (* x x) x) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (* 1/91125 (* (* x x) x)) 1/91125 1/27 (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) (* (+ (* (* x x) 1/2025) -1/135) x) (+ (* (* x x) 1/2025) -1/135) -1/135)
7.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) (/ x (+ (* (* x x) 1/45) -1/3)) x (+ (* (* x x) 1/45) -1/3) (* x x) 1/45 -1/3 (+ (* (* (* x x) 1/2025) (* x x)) -1/9) (* (* x x) 1/2025) 1/2025 -1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) (- 1/45 (/ (/ -1/3 x) x)) (/ (/ -1/3 x) x) (/ -1/3 x) (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (* (* x x) 1/9) 1/9 (- (* 1/3 x) (* (* (* x x) x) 1/45)) (* 1/3 x) 1/3 (* (* (* x x) x) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (* 1/91125 (* (* x x) x)) 1/91125 1/27 (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) (* (+ (* (* x x) 1/2025) -1/135) x) (+ (* (* x x) 1/2025) -1/135) -1/135)

Time

Variable

Point

Expression

10.0ms

((- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) (/ x (+ (* (* x x) 1/45) -1/3)) x (+ (* (* x x) 1/45) -1/3) (* x x) 1/45 -1/3 (+ (* (* (* x x) 1/2025) (* x x)) -1/9) (* (* x x) 1/2025) 1/2025 -1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) (- 1/45 (/ (/ -1/3 x) x)) (/ (/ -1/3 x) x) (/ -1/3 x) (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (* (* x x) 1/9) 1/9 (- (* 1/3 x) (* (* (* x x) x) 1/45)) (* 1/3 x) 1/3 (* (* (* x x) x) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (* 1/91125 (* (* x x) x)) 1/91125 1/27 (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) (* (+ (* (* x x) 1/2025) -1/135) x) (+ (* (* x x) 1/2025) -1/135) -1/135)

7.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) (/ x (+ (* (* x x) 1/45) -1/3)) x (+ (* (* x x) 1/45) -1/3) (* x x) 1/45 -1/3 (+ (* (* (* x x) 1/2025) (* x x)) -1/9) (* (* x x) 1/2025) 1/2025 -1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) (- 1/45 (/ (/ -1/3 x) x)) (/ (/ -1/3 x) x) (/ -1/3 x) (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (* (* x x) 1/9) 1/9 (- (* 1/3 x) (* (* (* x x) x) 1/45)) (* 1/3 x) 1/3 (* (* (* x x) x) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (* 1/91125 (* (* x x) x)) 1/91125 1/27 (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) (* (+ (* (* x x) 1/2025) -1/135) x) (+ (* (* x x) 1/2025) -1/135) -1/135)

7.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) (/ x (+ (* (* x x) 1/45) -1/3)) x (+ (* (* x x) 1/45) -1/3) (* x x) 1/45 -1/3 (+ (* (* (* x x) 1/2025) (* x x)) -1/9) (* (* x x) 1/2025) 1/2025 -1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) (- 1/45 (/ (/ -1/3 x) x)) (/ (/ -1/3 x) x) (/ -1/3 x) (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (* (* x x) 1/9) 1/9 (- (* 1/3 x) (* (* (* x x) x) 1/45)) (* 1/3 x) 1/3 (* (* (* x x) x) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (* 1/91125 (* (* x x) x)) 1/91125 1/27 (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) (* (+ (* (* x x) 1/2025) -1/135) x) (+ (* (* x x) 1/2025) -1/135) -1/135)

rewrite175.0ms (1.7%)

Memory

-18.3MiB live, 260.8MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	398	2952
0	453	2511
1	1871	2511
0	8229	2420

Stop Event

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

Counts

152 → 348

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (*.f64 x x) #s(literal -1/9 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (*.f64 x x) #s(literal -1/9 binary64)))
(/.f64 x (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(literal -1/3 binary64)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (*.f64 x x) #s(literal -1/9 binary64))
(.f64 (.f64 x x) #s(literal 1/2025 binary64))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) x)) (.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) x)) (.f64 (*.f64 x x) x)))
(.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) x)) (.f64 (*.f64 x x) x))
(-.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) x))
(/.f64 (/.f64 #s(literal -1/3 binary64) x) x)
(/.f64 #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))))
(/.f64 #s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64))))
#s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
(.f64 (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x) #s(literal 1/27 binary64))
(.f64 #s(literal 1/91125 binary64) (.f64 (*.f64 x x) x))
#s(literal 1/91125 binary64)
#s(literal 1/27 binary64)
(/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))
#s(literal -1/135 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 (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))))
#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 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (* x x) 1/2025) (* x x)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (* (* x x) 1/2025) (* x x)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* (* x x) 1/2025) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- 1/45 (/ (/ -1/3 x) x)) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- 1/45 (/ (/ -1/3 x) x)) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ (/ -1/3 x) x) #s(hole binary64 (/ -1/3 (pow x 2))))
#s(approx (/ -1/3 x) #s(hole binary64 (/ -1/3 x)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) #s(hole binary64 (* 1/9 (pow x 2))))
#s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) #s(hole binary64 (* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))))
#s(approx (* (* x x) 1/9) #s(hole binary64 (* 1/9 (pow x 2))))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) #s(hole binary64 (* 1/3 x)))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) #s(hole binary64 (* x (+ 1/3 (* -1/45 (pow x 2))))))
#s(approx (* 1/3 x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (* (* x x) x) 1/45) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (* 1/91125 (* (* x x) x)) #s(hole binary64 (* 1/91125 (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* 9 x)))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* 3/5 (pow x 2))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* -1/135 x)))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 2)) 1/135))))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 -1/135))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 (- (* 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 (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/2025) (* 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) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- 1/45 (/ (/ -1/3 x) x)) #s(hole binary64 1/45))
#s(approx (- 1/45 (/ (/ -1/3 x) x)) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) #s(hole binary64 (* -1/2025 (pow x 6))))
#s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) #s(hole binary64 (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) #s(hole binary64 (* -1/45 (pow x 3))))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) #s(hole binary64 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ 2025 (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* 1/2025 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* (pow x 3) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(hole binary64 (* (pow x 2) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/135 (/ 1 (pow x 2))) 1/2025)))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (*.f64 x x) #s(literal -1/9 binary64))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (.f64 x x) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (*.f64 x x) #s(literal -1/9 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))) (-.f64 (.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))) (.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))) (.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x)) (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x)) (-.f64 (.f64 (.f64 (/.f64 x (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 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) #s(literal -1/9 binary64))) (.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x)) (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) #s(literal -1/9 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (.f64 x x) #s(literal -1/9 binary64)) x))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x)) #s(literal 1/81 binary64)) (neg.f64 x)) (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) 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 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x)) #s(literal 1/81 binary64)) x) (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x) #s(literal -1/9 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (neg.f64 x)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
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(fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal 1/27 binary64))
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(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/91125 binary64) (.f64 x x)) x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/91125 binary64) (.f64 x x)) x)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/91125 binary64) (.f64 x x)) x)) #s(literal 1/27 binary64))))
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(+.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/91125 binary64) (.f64 x x)) x)) #s(literal 1/27 binary64))
(+.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/91125 binary64) (.f64 x x)) x)))
(.f64 (.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x)
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/91125 binary64))
(.f64 #s(literal 1/91125 binary64) (.f64 (*.f64 x x) x))
(pow.f64 (*.f64 #s(literal 1/45 binary64) x) #s(literal 3 binary64))
(pow.f64 (*.f64 x #s(literal 1/45 binary64)) #s(literal 3 binary64))
#s(literal 1/91125 binary64)
#s(literal 1/27 binary64)
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(.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)))
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(fma.f64 x (*.f64 x #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))
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(+.f64 #s(literal -1/135 binary64) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))
#s(literal -1/135 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 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
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#s(approx (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) (*.f64 #s(literal -3 binary64) x))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) (.f64 (-.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x))
#s(approx (/ x (+ (* (* x x) 1/45) -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 (+ (* (* x x) 1/45) -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 x x)
#s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (* x x) 1/45) -1/3) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (* (* x x) 1/2025) (* x x)) -1/9) #s(literal -1/9 binary64))
#s(approx (+ (* (* (* x x) 1/2025) (* x x)) -1/9) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x) #s(literal 1/9 binary64)))
#s(approx (* (* x x) 1/2025) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))
#s(approx (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (*.f64 #s(literal -1/9 binary64) x))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (.f64 (-.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) x) x) #s(literal 1/9 binary64)) x))
#s(approx (+ (* (* (* x x) 1/2025) (* x x)) -1/9) #s(literal -1/9 binary64))
#s(approx (+ (* (* (* x x) 1/2025) (* x x)) -1/9) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x) #s(literal 1/9 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- 1/45 (/ (/ -1/3 x) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
#s(approx (- 1/45 (/ (/ -1/3 x) x)) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (.f64 x x)))
#s(approx (/ (/ -1/3 x) x) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))
#s(approx (/ -1/3 x) (/.f64 #s(literal -1/3 binary64) x))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))
#s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2025 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/9 binary64))))
#s(approx (* (* x x) 1/9) (.f64 (.f64 x x) #s(literal 1/9 binary64)))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) (.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (* 1/3 x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (* (* x x) x) 1/45) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) #s(literal 1/27 binary64))
#s(approx (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x) #s(literal 1/27 binary64)))
#s(approx (* 1/91125 (* (* x x) x)) (.f64 (.f64 #s(literal 1/91125 binary64) (*.f64 x x)) x))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (*.f64 #s(literal 9 binary64) x))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (.f64 (fma.f64 #s(literal 3/5 binary64) (.f64 x x) #s(literal 9 binary64)) x))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (.f64 (fma.f64 (fma.f64 #s(literal -1/375 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 3/5 binary64)) (*.f64 x x) #s(literal 9 binary64)) x))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5625 binary64) (.f64 x x)) #s(literal 1/375 binary64)) (.f64 (.f64 (.f64 x x) x) x) #s(literal 3/5 binary64)) (*.f64 x x) #s(literal 9 binary64)) x))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) #s(literal 1/9 binary64))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) (fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) (*.f64 x x) #s(literal 1/9 binary64)))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) (*.f64 #s(literal -1/135 binary64) x))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) x))
#s(approx (+ (* (* x x) 1/2025) -1/135) #s(literal -1/135 binary64))
#s(approx (+ (* (* x x) 1/2025) -1/135) (-.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)))
#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 (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) (/.f64 #s(literal 45 binary64) x))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) (/.f64 (+.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) x))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 10125 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 675 binary64) (.f64 x x))) #s(literal 45 binary64)) x))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) (/.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 151875 binary64) (/.f64 #s(literal 10125 binary64) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 #s(literal 675 binary64) (.f64 x x))) #s(literal 45 binary64)) x))
#s(approx (+ (* (* x x) 1/45) -1/3) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#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 (+ (* (* (* x x) 1/2025) (* x x)) -1/9) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x))
#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 (.f64 x x) x) x))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* (* x x) 1/2025) (* x x)) -1/9)) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)))))
#s(approx (+ (* (* (* x x) 1/2025) (* x x)) -1/9) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x))
#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 (.f64 x x) x) x))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x)))
#s(approx (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (- 1/45 (/ (/ -1/3 x) x)) (* (* x x) x)) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x)))
#s(approx (- 1/45 (/ (/ -1/3 x) x)) #s(literal 1/45 binary64))
#s(approx (- 1/45 (/ (/ -1/3 x) x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)))
#s(approx (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (- (* 1/3 x) (* (* (* x x) x) 1/45))) (.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) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/2025 binary64)))
#s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/2025 binary64))))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) (.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) x)))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x)))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/91125 binary64) (.f64 x x)) x)))
#s(approx (+ (* (* 1/91125 (* (* x x) x)) (* (* x x) x)) 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 x) 1/2025) -1/135) x) x) 1/9)) (/.f64 #s(literal 2025 binary64) (.f64 (.f64 x x) x)))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (/.f64 (+.f64 (/.f64 #s(literal 30375 binary64) (.f64 x x)) #s(literal 2025 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 30375 binary64) (.f64 x x)) #s(literal 2025 binary64)) (/.f64 #s(literal 6834375 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 x x) x)))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 102515625 binary64) (.f64 x x)) #s(literal 6834375 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 30375 binary64) (.f64 x x))) #s(literal 2025 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) x) x))
#s(approx (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 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) 1/2025) -1/135) x) x) 1/9) (.f64 (+.f64 #s(literal 1/2025 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/135 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/2025 binary64)))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* x x) 1/2025) -1/135) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))
#s(approx (+ (* (* x x) 1/2025) -1/135) (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (/ x (+ (* (* x x) 1/45) -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 (+ (* (* x x) 1/45) -1/3)) (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 151875 binary64) (.f64 x x)) #s(literal 10125 binary64)) (.f64 (.f64 (.f64 x x) x) x))) #s(literal 45 binary64)) (/.f64 #s(literal 675 binary64) (*.f64 x x))) x)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -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)))))
#s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) (neg.f64 (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 2025 binary64)) (/.f64 #s(literal 30375 binary64) (.f64 x x))) (.f64 (.f64 x x) x))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2025) -1/135) x) x) 1/9)) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 102515625 binary64) (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 2025 binary64)) (/.f64 #s(literal 30375 binary64) (.f64 x x)))) (.f64 (.f64 x x) x))))
#s(approx (* (+ (* (* x x) 1/2025) -1/135) x) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/135 binary64) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) x))))

eval68.0ms (0.7%)

Memory: 2.4MiB live, 108.2MiB allocated; 26ms collecting garbage
Compiler: Compiled 6 341 to 2 421 computations (61.8% saved)

prune16.0ms (0.2%)

Memory

-3.3MiB live, 42.8MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	532	4	536
Fresh	2	1	3
Picked	5	0	5
Done	0	3	3
Total	539	8	547

Accuracy

100.0%

Counts

547 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* 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))))
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
	54.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) (*.f64 #s(literal 1/3 binary64) x))))
✓	99.5%	#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 (+ ( (* (* x x) 1/2025) (* x x)) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 414 to 300 computations (27.5% saved)

regimes12.0ms (0.1%)

Memory

-23.5MiB live, 23.0MiB allocated; 3ms collecting garbage

Counts

21 → 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 (+ ( (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(approx (- (* 1/3 x) (* (* (* x x) x) 1/45)) (*.f64 #s(literal 1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* (* x x) 1/2025) (* x x)) -1/9) #s(literal -1/9 binary64)) (/.f64 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 (+ ( (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 #s(literal 1/45 binary64) (/.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 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) x) x)) (.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64)) (.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* 1/91125 (* (* x x) x)) (* (* x x) x)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (- (* (* 1/3 x) (* 1/3 x)) (* (* (* (* x x) x) 1/45) (* (* (* x x) x) 1/45))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* 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 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (*.f64 x x) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #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 (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.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 (.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)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.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)))))))

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

Calls

2 calls:

5.0ms	x
5.0ms	(-.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)

regimes4.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

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

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

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

6.2MiB live, 6.2MiB 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
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)

derivations111.0ms (1.1%)

Memory

21.7MiB live, 120.6MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 48 to 36 computations (25% saved)

preprocess37.0ms (0.4%)

Memory: -32.5MiB live, 60.5MiB allocated; 5ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 186 to 165 computations (11.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0%)

sample8.5s (83.9%)

preprocess68.0ms (0.7%)

series5.0ms (0%)

rewrite149.0ms (1.5%)

eval7.0ms (0.1%)

prune3.0ms (0%)

series72.0ms (0.7%)

rewrite102.0ms (1%)

eval9.0ms (0.1%)

prune9.0ms (0.1%)

series25.0ms (0.2%)

rewrite553.0ms (5.5%)

eval146.0ms (1.4%)

prune32.0ms (0.3%)

series26.0ms (0.3%)

rewrite175.0ms (1.7%)

eval68.0ms (0.7%)

prune16.0ms (0.2%)

regimes12.0ms (0.1%)

regimes4.0ms (0%)

regimes2.0ms (0%)

derivations111.0ms (1.1%)

preprocess37.0ms (0.4%)

end0.0ms (0%)

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