Metrics for invcot (example 3.9)

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze3.0ms (0%)

Memory

5.3MiB live, 5.2MiB 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)

sample8.9s (85%)

Memory

189.4MiB live, 7 870.5MiB allocated; 2.7s collecting garbage

Samples

7.3s	3 997×	2	valid
1.2s	4 240×	1	valid
1.0ms	19×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.3s

ival-tan: 7.5s (90.8% of total)

ival-div!: 418.0ms (5.1% of total)

adjust: 284.0ms (3.4% of total)

ival-sub!: 58.0ms (0.7% of total)

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

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

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

Bogosity

preprocess63.0ms (0.6%)

Memory

-39.9MiB live, 10.8MiB allocated; 13ms 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
▶	6.5%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Symmetry

(negabs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series5.0ms (0%)

Memory

2.9MiB live, 2.9MiB 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))

rewrite189.0ms (1.8%)

Memory

20.8MiB live, 112.8MiB allocated; 7ms 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: 17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 531 to 284 computations (46.5% saved)

prune3.0ms (0%)

Memory

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

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	3	70

Accuracy

99.4%

Counts

70 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
▶	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	98.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Status

Accuracy

Program

▶

99.4%

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

▶

99.3%

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

▶

98.8%

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

Compiler

Compiled 36 to 35 computations (2.8% saved)

series10.0ms (0.1%)

Memory

-30.6MiB live, 14.9MiB allocated; 6ms collecting garbage

Counts

14 → 34

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) 2/945)
2.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) 2/945)
2.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) 2/945)

Time

Variable

Point

Expression

5.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

rewrite122.0ms (1.2%)

Memory

30.8MiB live, 178.1MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	729
0	128	698
1	557	696
0	4293	686

Stop Event

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

Counts

48 → 209

Calls

Call 1

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

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

eval30.0ms (0.3%)

Memory: -3.7MiB live, 41.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 257 to 877 computations (61.1% saved)

prune30.0ms (0.3%)

Memory

-25.1MiB live, 23.8MiB allocated; 9ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	206	7	213
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	206	10	216

Accuracy

99.9%

Counts

216 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x)))
▶	99.3%	#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)))
	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	25.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)) (.f64 (.f64 (.f64 x x) x) x))) x))
✓	98.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	21.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 5 binary64)))))
▶	48.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))

Compiler

Compiled 350 to 325 computations (7.1% saved)

series16.0ms (0.2%)

Memory

26.7MiB live, 26.7MiB allocated; 0ms collecting garbage

Counts

34 → 89

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64))
#s(literal 1/2025 binary64)
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/9 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(literal 1/45 binary64)
#s(literal -1/3 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 #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 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))
(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x)
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal -1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)) (.f64 (.f64 (.f64 x x) x) x))) x))
(.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)) (.f64 (.f64 (.f64 x x) x) x))) x)
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)) (.f64 (.f64 (.f64 x x) x) x)))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)) (.f64 (.f64 (.f64 x x) x) x))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x 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 (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (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 (* 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 (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1/3 (* x x)) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) #s(hole binary64 1/3))
#s(approx (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) #s(hole binary64 (/ 1/3 (pow x 4))))
#s(approx (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))))
#s(approx (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) #s(hole binary64 (/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ 1/3 (pow x 4))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))))
#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 (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) 1/45) -1/3) #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 (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) #s(hole binary64 2/945))
#s(approx (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) #s(hole binary64 (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
#s(approx (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) #s(hole binary64 (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ 1/45 (pow x 2))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) 1/2025 (* (* (* x x) x) x) (* (* x x) x) (* x x) x -1/9 (+ (* (* x x) 1/45) -1/3) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) -1/45 (- (/ 1 x) (/ 1 (tan x))) (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (+ (* (* x x) 2/945) 1/45) 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (/ (- (/ 1/3 (* x x)) -1/45) (* x x)))
5.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) 1/2025 (* (* (* x x) x) x) (* (* x x) x) (* x x) x -1/9 (+ (* (* x x) 1/45) -1/3) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) -1/45 (- (/ 1 x) (/ 1 (tan x))) (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (+ (* (* x x) 2/945) 1/45) 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (/ (- (/ 1/3 (* x x)) -1/45) (* x x)))
4.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) 1/2025 (* (* (* x x) x) x) (* (* x x) x) (* x x) x -1/9 (+ (* (* x x) 1/45) -1/3) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) -1/45 (- (/ 1 x) (/ 1 (tan x))) (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (+ (* (* x x) 2/945) 1/45) 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (/ (- (/ 1/3 (* x x)) -1/45) (* x x)))

Time

Variable

Point

Expression

5.0ms

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

5.0ms

-inf

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

4.0ms

inf

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

rewrite227.0ms (2.2%)

Memory

18.8MiB live, 336.2MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	2299
0	280	2102
1	979	1987
0	6850	1882

Stop Event

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

Counts

123 → 684

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/9 binary64))
#s(literal 1/2025 binary64)
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/9 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(literal 1/45 binary64)
#s(literal -1/3 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 #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 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))
(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x)
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal -1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)) (.f64 (.f64 (.f64 x x) x) x))) x))
(.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)) (.f64 (.f64 (.f64 x x) x) x))) x)
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)) (.f64 (.f64 (.f64 x x) x) x)))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)) (.f64 (.f64 (.f64 x x) x) x))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x 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 (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (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 (* 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 (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1/3 (* x x)) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) #s(hole binary64 1/3))
#s(approx (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) #s(hole binary64 (/ 1/3 (pow x 4))))
#s(approx (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))))
#s(approx (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) #s(hole binary64 (/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ 1/3 (pow x 4))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))))
#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 (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) 1/45) -1/3) #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 (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) #s(hole binary64 2/945))
#s(approx (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) #s(hole binary64 (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
#s(approx (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) #s(hole binary64 (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ 1/45 (pow x 2))))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) #s(hole binary64 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/9 binary64)) x) (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/9 binary64)) x) (fma.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/27 binary64))) (-.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -1/135 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.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 (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 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x))) x) (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))) (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal 1/9 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/18225 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x)))) (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2025 binary64))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/91125 binary64)) (pow.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) x) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/9 binary64))) x)) (neg.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2025 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x x)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 x x) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2025 binary64) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x))))))
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#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) x) x))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (.f64 (*.f64 x x) x)) x))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)) x) (.f64 (.f64 x x) x)))
#s(approx (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) (.f64 (.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) x) x))
#s(approx (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) (.f64 (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (.f64 (*.f64 x x) x)) x))
#s(approx (* (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (* (* (* x x) x) x)) (.f64 (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)) x) (.f64 (.f64 x x) x)))
#s(approx (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) #s(literal 2/945 binary64))
#s(approx (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))))
#s(approx (+ (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) 2/945) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) (/.f64 #s(literal 1/45 binary64) (*.f64 x x)))
#s(approx (/ (- (/ 1/3 (* x x)) -1/45) (* x x)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)))
#s(approx (* (+ (* 1/2025 (* (* (* x x) x) x)) -1/9) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2025 binary64)))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64))))

eval85.0ms (0.8%)

Memory: -13.0MiB live, 223.1MiB allocated; 44ms collecting garbage
Compiler: Compiled 9 976 to 3 743 computations (62.5% saved)

prune27.0ms (0.3%)

Memory

23.5MiB live, 69.0MiB allocated; 8ms collecting garbage

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	758	13	771
Fresh	2	0	2
Picked	3	2	5
Done	0	3	3
Total	763	18	781

Accuracy

100.0%

Counts

781 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x)))
✓	99.3%	#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)))
	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/18225 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* (* x x) x) x)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.5%	#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 #s(literal 1/2025 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))))
	26.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)) (.f64 x x)) (.f64 x x))) x))
✓	98.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	25.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (/.f64 (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) x)) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))
▶	48.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) x)) (*.f64 x x))))
▶	34.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))))
	48.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
	48.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64)) x) (*.f64 x x))))
	53.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) (.f64 x x))))
▶	52.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))

Compiler

Compiled 743 to 665 computations (10.5% saved)

series29.0ms (0.3%)

Memory

-16.7MiB live, 75.0MiB allocated; 11ms collecting garbage

Counts

42 → 85

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

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

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) (/ x (+ (* (* x x) 1/45) -1/3)) x (+ (* (* x x) 1/45) -1/3) (* x x) 1/45 -1/3 (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 -1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) -1/45 (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (* x (/ 1 (* x x))) 1/3) (* 1/45 x)) (* x x)) (+ (* (* x (/ 1 (* x x))) 1/3) (* 1/45 x)) (* x (/ 1 (* x x))) (/ 1 (* x x)) 1 (* 1/45 x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* 1/2025 (* x x)) (* x x)) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (* (* 1/2025 (* x x)) (* x x)) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* 1/2025 (* x x)) (* x x)) (* (* x x) 1/45)) 1/27) (* (* 1/2025 (* x x)) (* x x)) (* (* x x) 1/45) 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) 1/9)
6.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) (/ x (+ (* (* x x) 1/45) -1/3)) x (+ (* (* x x) 1/45) -1/3) (* x x) 1/45 -1/3 (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 -1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) -1/45 (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (* x (/ 1 (* x x))) 1/3) (* 1/45 x)) (* x x)) (+ (* (* x (/ 1 (* x x))) 1/3) (* 1/45 x)) (* x (/ 1 (* x x))) (/ 1 (* x x)) 1 (* 1/45 x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* 1/2025 (* x x)) (* x x)) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (* (* 1/2025 (* x x)) (* x x)) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* 1/2025 (* x x)) (* x x)) (* (* x x) 1/45)) 1/27) (* (* 1/2025 (* x x)) (* x x)) (* (* x x) 1/45) 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) 1/9)
5.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* 1/2025 (* x x)) (* x x)) -1/9)) (/ x (+ (* (* x x) 1/45) -1/3)) x (+ (* (* x x) 1/45) -1/3) (* x x) 1/45 -1/3 (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) (* 1/2025 (* x x)) 1/2025 -1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (- (/ 1/3 (* x x)) -1/45) (* (* x x) x)) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) -1/45 (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (* x (/ 1 (* x x))) 1/3) (* 1/45 x)) (* x x)) (+ (* (* x (/ 1 (* x x))) 1/3) (* 1/45 x)) (* x (/ 1 (* x x))) (/ 1 (* x x)) 1 (* 1/45 x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* 1/2025 (* x x)) (* x x)) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (* (* 1/2025 (* x x)) (* x x)) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* 1/2025 (* x x)) (* x x)) (* (* x x) 1/45)) 1/27) (* (* 1/2025 (* x x)) (* x x)) (* (* x x) 1/45) 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) 1/9)

Time

Variable

Point

Expression

12.0ms

-inf

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

6.0ms

inf

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

5.0ms

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

rewrite337.0ms (3.2%)

Memory

-6.2MiB live, 353.2MiB allocated; 182ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	2253
0	345	2029
1	1341	1919
0	8708	1811

Stop Event

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

Counts

127 → 559

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

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

eval159.0ms (1.5%)

Memory: 4.6MiB live, 148.4MiB allocated; 76ms collecting garbage
Compiler: Compiled 7 922 to 3 038 computations (61.7% saved)

prune24.0ms (0.2%)

Memory

-7.0MiB live, 37.9MiB allocated; 6ms collecting garbage

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	632	6	638
Fresh	5	3	8
Picked	4	1	5
Done	0	5	5
Total	641	15	656

Accuracy

100.0%

Counts

656 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x)))
✓	99.3%	#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)))
	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* 1/2025 (* x x)) (* x x)) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* (* x x) x) x)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
	99.5%	#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))) #s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(literal -1/9 binary64))))
	26.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)) (.f64 x x)) (.f64 x x))) x))
✓	98.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	53.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) x)) (*.f64 x x))))
	98.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x) x)))
	33.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx (- (/ 1/3 ( x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (*.f64 x x) x))))
✓	52.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))

Compiler

Compiled 678 to 498 computations (26.5% saved)

regimes19.0ms (0.2%)

Memory

-17.1MiB live, 26.2MiB allocated; 5ms collecting garbage

Counts

30 → 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))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (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 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) #s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (* (* (* x x) x) x)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx (- (/ 1/3 ( x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) (.f64 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 binary64) x) #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/45 binary64)) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* 1/2025 (* x x)) (* x x)) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)) (.f64 x x)) (.f64 x x))) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x x)) #s(literal 2/945 binary64)) (.f64 (.f64 (.f64 x x) x) x))) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (/.f64 (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) x)) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#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 #s(literal 1/2025 binary64) (.f64 x x) #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 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/18225 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))

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

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))) #s(approx (+ (* (* 1/2025 (* x x)) (* x x)) -1/9) #s(literal -1/9 binary64))))

Calls

2 calls:

9.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
8.0ms	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)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.6MiB 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))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (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))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Accuracy

Total -29.7b remaining (-3870.7%)

Threshold costs -29.7b (-3870.7%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
98.8%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations130.0ms (1.2%)

Memory

-24.8MiB live, 78.7MiB allocated; 17ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 38 to 30 computations (21.1% saved)

preprocess40.0ms (0.4%)

Memory: 18.2MiB live, 62.7MiB allocated; 6ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 176 to 163 computations (7.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0%)

sample8.9s (85%)

preprocess63.0ms (0.6%)

series5.0ms (0%)

rewrite189.0ms (1.8%)

eval7.0ms (0.1%)

prune3.0ms (0%)

series10.0ms (0.1%)

rewrite122.0ms (1.2%)

eval30.0ms (0.3%)

prune30.0ms (0.3%)

series16.0ms (0.2%)

rewrite227.0ms (2.2%)

eval85.0ms (0.8%)

prune27.0ms (0.3%)

series29.0ms (0.3%)

rewrite337.0ms (3.2%)

eval159.0ms (1.5%)

prune24.0ms (0.2%)

regimes19.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

derivations130.0ms (1.2%)

preprocess40.0ms (0.4%)

end0.0ms (0%)

Profiling