Metrics for invcot (example 3.9)

start0.0ms (0%)

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

analyze5.0ms (0%)

Memory

6.1MiB live, 6.1MiB 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)

sample8.7s (81.2%)

Memory

-69.0MiB live, 6 262.8MiB allocated; 2.0s collecting garbage

Samples

7.0s	4 022×	2	valid
1.2s	4 214×	1	valid
1.0ms	20×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.0s

ival-tan: 7.0s (88% of total)

ival-div: 512.0ms (6.4% of total)

adjust: 336.0ms (4.2% of total)

ival-sub: 95.0ms (1.2% of total)

exact: 8.0ms (0.1% of total)

ival-assert: 3.0ms (0% of total)

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

const: 0.0ms (0% of total)

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

Bogosity

explain491.0ms (4.6%)

Memory

8.6MiB live, 384.6MiB allocated; 37ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(tan.f64 x)`
0	-	-	`(/.f64 #s(literal 1 binary64) (tan.f64 x))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`	cancellation	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

371.0ms	260×	2	valid
61.0ms	250×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 409.0ms

ival-tan: 343.0ms (83.8% of total)

adjust: 39.0ms (9.5% of total)

ival-div: 20.0ms (4.9% of total)

ival-sub: 6.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess237.0ms (2.2%)

Memory

28.1MiB live, 162.5MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (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
0	6	8
0	10	8
1	15	8
2	21	8
3	38	8
4	95	8
5	501	8
6	7749	8
0	8001	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

series5.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

6 → 18

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite160.0ms (1.5%)

Memory

4.9MiB live, 145.2MiB allocated; 19ms 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 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(/.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 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) x)) (/.f64 x (.f64 (tan.f64 x) x)))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(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) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(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 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (/ 1 (tan x)) (pow.f64 x #s(literal -1 binary64)))
#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 #s(literal -2/945 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 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 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.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))

eval17.0ms (0.2%)

Memory: -24.9MiB live, 21.9MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 075 to 286 computations (73.4% saved)

prune4.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	3	79

Accuracy

99.5%

Counts

79 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Status

Accuracy

Program

▶

99.5%

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

▶

99.4%

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

▶

99.3%

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

Compiler

Compiled 51 to 35 computations (31.4% saved)

series10.0ms (0.1%)

Memory

18.9MiB live, 19.0MiB allocated; 0ms 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
4.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 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)
3.0ms	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)

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

((- (/ 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)

rewrite191.0ms (1.8%)

Memory

-23.6MiB live, 117.4MiB allocated; 39ms 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) (pow.f64 x #s(literal 4 binary64)))) 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) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #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) (pow.f64 x #s(literal 4 binary64))))) (-.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) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(fma.f64 #s(literal 1/45 binary64) (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #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 (pow.f64 x #s(literal 3 binary64)) #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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #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) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/45 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))) (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) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #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) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
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(-.f64 (/.f64 #s(literal 1/9 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 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #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 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal -1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x)) x))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 #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)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #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)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 #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 (pow.f64 x #s(literal 4 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64) #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) (pow.f64 x #s(literal 4 binary64)) (.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) (pow.f64 x #s(literal 4 binary64)) #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) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64))) (neg.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 #s(literal 2/42525 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8/843908625 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) (pow.f64 x #s(literal 4 binary64)) #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) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64)) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 #s(literal 2/42525 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8/843908625 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) (pow.f64 x #s(literal 4 binary64))) (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) (pow.f64 x #s(literal 4 binary64))) (-.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 (pow.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 #s(literal 2/42525 binary64) (.f64 x x))))) (/.f64 #s(literal 1/91125 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #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 (pow.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 3 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 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (* 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 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
#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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64)))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 4 binary64))))
#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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64)) x) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/45 binary64)) x) x) #s(literal 2/945 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval32.0ms (0.3%)

Memory: 18.5MiB live, 61.7MiB allocated; 10ms collecting garbage
Compiler: Compiled 6 887 to 954 computations (86.1% saved)

prune11.0ms (0.1%)

Memory

27.1MiB live, 27.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	255	4	259
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	255	7	262

Accuracy

100.0%

Counts

262 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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))))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	48.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
▶	33.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))

Compiler

Compiled 166 to 117 computations (29.5% saved)

series29.0ms (0.3%)

Memory

-13.4MiB live, 43.1MiB allocated; 13ms collecting garbage

Counts

37 → 72

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
16.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (pow x -2) 1/3) 1/45) (pow x 3)) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) x -2 1/3 1/45 (pow x 3) 3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* 1/2025 (pow x 4)) -1/9) 1/2025 (pow x 4) 4 -1/9 (+ (* (* x x) 1/45) -1/3) (* x x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 1/91125 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/9)
6.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (pow x -2) 1/3) 1/45) (pow x 3)) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) x -2 1/3 1/45 (pow x 3) 3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* 1/2025 (pow x 4)) -1/9) 1/2025 (pow x 4) 4 -1/9 (+ (* (* x x) 1/45) -1/3) (* x x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 1/91125 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/9)
6.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (pow x -2) 1/3) 1/45) (pow x 3)) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) x -2 1/3 1/45 (pow x 3) 3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* 1/2025 (pow x 4)) -1/9) 1/2025 (pow x 4) 4 -1/9 (+ (* (* x x) 1/45) -1/3) (* x x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 1/91125 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/9)

Time

Variable

Point

Expression

16.0ms

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (pow x -2) 1/3) 1/45) (pow x 3)) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) x -2 1/3 1/45 (pow x 3) 3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* 1/2025 (pow x 4)) -1/9) 1/2025 (pow x 4) 4 -1/9 (+ (* (* x x) 1/45) -1/3) (* x x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 1/91125 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/9)

6.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (pow x -2) 1/3) 1/45) (pow x 3)) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) x -2 1/3 1/45 (pow x 3) 3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* 1/2025 (pow x 4)) -1/9) 1/2025 (pow x 4) 4 -1/9 (+ (* (* x x) 1/45) -1/3) (* x x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 1/91125 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/9)

6.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (pow x -2) 1/3) 1/45) (pow x 3)) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) x -2 1/3 1/45 (pow x 3) 3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* 1/2025 (pow x 4)) -1/9) 1/2025 (pow x 4) 4 -1/9 (+ (* (* x x) 1/45) -1/3) (* x x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 1/91125 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/9)

rewrite203.0ms (1.9%)

Memory

14.4MiB live, 245.4MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	1590
0	259	1424
1	940	1391
0	6609	1326

Stop Event

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

Counts

109 → 631

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))
(.f64 (.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x) x)
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x))
(.f64 x (.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64) #s(literal -1/2025 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/45 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/9 binary64) #s(literal 1/2025 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64) #s(literal 1/45 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64) #s(literal -1/2025 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/45 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/9 binary64) #s(literal 1/2025 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64) #s(literal 1/45 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64) #s(literal 1/91125 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64) (fma.f64 #s(literal -1/135 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2025 binary64))))
(/.f64 (*.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 3 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64) (fma.f64 #s(literal -1/135 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2025 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (-.f64 (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))))))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(fma.f64 (.f64 (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) x) x) x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(fma.f64 (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 x x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (.f64 x x) (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(fma.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 x (.f64 (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))))
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(-.f64 #s(literal 1/9 binary64) (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64))))
(-.f64 #s(literal 1/9 binary64) (.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (.f64 #s(literal -1/135 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) (.f64 x x) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) (.f64 x x) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #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 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x))
(.f64 (.f64 #s(literal 1/45 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/45 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/45 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/45 binary64)))
(.f64 (.f64 #s(literal 1/45 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/45 binary64) 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 (.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 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) (pow x 3)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) (pow x 3)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (pow x -2) 1/3) 1/45) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (+ (* (pow x -2) 1/3) 1/45) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) x))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx x x)
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#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 (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(literal 1/3 binary64))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) (*.f64 #s(literal -1/9 binary64) x))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#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 (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)))
#s(approx (pow (* x x) 3) (pow.f64 x #s(literal 6 binary64)))
#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 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))
#s(approx (* (* x x) 1/45) (.f64 (.f64 x x) #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 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) (pow x 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) (pow x 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* (pow x -2) 1/3) 1/45) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)))
#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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64)))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/9 binary64) #s(literal 1/2025 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/9 binary64) #s(literal 1/2025 binary64)) (pow.f64 x #s(literal 4 binary64))))
#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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64) #s(literal 1/45 binary64)) x) x))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64)))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 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 (+ (* (pow (* x x) 3) 1/91125) 1/27) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) (*.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 6 binary64))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (*.f64 (fma.f64 #s(literal -1/135 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2025 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64) (fma.f64 #s(literal -1/135 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2025 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64) #s(literal -1/2025 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval97.0ms (0.9%)

Memory: -5.9MiB live, 137.7MiB allocated; 29ms collecting garbage
Compiler: Compiled 25 953 to 3 117 computations (88% saved)

prune46.0ms (0.4%)

Memory

13.6MiB live, 58.8MiB allocated; 8ms collecting garbage

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	736	9	745
Fresh	0	0	0
Picked	4	0	4
Done	0	3	3
Total	740	12	752

Accuracy

100.0%

Counts

752 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 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 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	48.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (fma.f64 (.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) x)) x)) x))
▶	48.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
▶	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 #s(approx ( (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	33.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (.f64 (*.f64 x x) x))))
▶	47.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))))

Compiler

Compiled 599 to 427 computations (28.7% saved)

series19.0ms (0.2%)

Memory

-17.2MiB live, 27.7MiB allocated; 5ms collecting garbage

Counts

42 → 80

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
(/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 #s(approx ( (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 #s(approx ( (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 #s(approx ( (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x))
(.f64 #s(approx ( (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)
#s(approx (* (+ (* (pow x -2) 1/3) 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))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (fma.f64 (.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) x)) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (fma.f64 (.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) x)) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (fma.f64 (.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) x)) x))
(.f64 (fma.f64 (.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) x)) x)
(fma.f64 (.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) x))
(*.f64 x (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1/45 binary64) 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 (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx x #s(hole binary64 x))
#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 x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) 1/45) 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 (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (+ (* (pow x -2) 1/3) 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 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) x) #s(hole binary64 1/3))
#s(approx (* (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) #s(hole binary64 (/ 1/3 x)))
#s(approx (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (* x (pow x -2)) #s(hole binary64 (/ 1 x)))
#s(approx (* 1/45 x) #s(hole binary64 (* 1/45 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/45) 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 (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) #s(hole binary64 (* 1/45 x)))
#s(approx (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 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
7.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) x 4 1/2025 -1/9 (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* x x) 1/45) -1/3) (* x x) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) (* (+ (* (pow x -2) 1/3) 1/45) x) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) -2 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) x) (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) (* x (pow x -2)) (* 1/45 x))
4.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) x 4 1/2025 -1/9 (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* x x) 1/45) -1/3) (* x x) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) (* (+ (* (pow x -2) 1/3) 1/45) x) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) -2 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) x) (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) (* x (pow x -2)) (* 1/45 x))
3.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) x 4 1/2025 -1/9 (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* x x) 1/45) -1/3) (* x x) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) (* (+ (* (pow x -2) 1/3) 1/45) x) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) -2 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) x) (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) (* x (pow x -2)) (* 1/45 x))

Time

Variable

Point

Expression

7.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) x 4 1/2025 -1/9 (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* x x) 1/45) -1/3) (* x x) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) (* (+ (* (pow x -2) 1/3) 1/45) x) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) -2 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) x) (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) (* x (pow x -2)) (* 1/45 x))

4.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) x 4 1/2025 -1/9 (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* x x) 1/45) -1/3) (* x x) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) (* (+ (* (pow x -2) 1/3) 1/45) x) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) -2 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) x) (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) (* x (pow x -2)) (* 1/45 x))

3.0ms

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) x 4 1/2025 -1/9 (/ x (+ (* (* x x) 1/45) -1/3)) (+ (* (* x x) 1/45) -1/3) (* x x) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) (* (+ (* (pow x -2) 1/3) 1/45) x) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) -2 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) x) (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) (* x (pow x -2)) (* 1/45 x))

rewrite164.0ms (1.5%)

Memory

-14.2MiB live, 222.3MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1853
0	296	1728
1	1084	1619
0	8066	1519

Stop Event

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

Counts

122 → 662

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
(/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 #s(approx ( (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 #s(approx ( (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 #s(approx ( (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x))
(.f64 #s(approx ( (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)
#s(approx (* (+ (* (pow x -2) 1/3) 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))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (*.f64 x x))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (fma.f64 (.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) x)) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (fma.f64 (.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) x)) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (fma.f64 (.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) x)) x))
(.f64 (fma.f64 (.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) x)) x)
(fma.f64 (.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) x))
(*.f64 x (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1/45 binary64) 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 (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx x #s(hole binary64 x))
#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 x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) 1/45) 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 (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (+ (* (pow x -2) 1/3) 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 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) x) #s(hole binary64 1/3))
#s(approx (* (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) #s(hole binary64 (/ 1/3 x)))
#s(approx (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (* x (pow x -2)) #s(hole binary64 (/ 1 x)))
#s(approx (* 1/45 x) #s(hole binary64 (* 1/45 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/45) 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 (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) #s(hole binary64 (* 1/45 x)))
#s(approx (+ (* (* x (pow x -2)) 1/3) (* 1/45 x)) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 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 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -1/135 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 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 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #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 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #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)))) (-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) x) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (.f64 (*.f64 x x) #s(literal -1/135 binary64))) #s(literal 1/9 binary64)))
(/.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))
(/.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (neg.f64 x)) (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
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#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 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(literal -1/9 binary64))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx x 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 #s(literal -1/1125 binary64) (.f64 x x)) #s(literal 1/75 binary64)) x) x) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 3 binary64)) x))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (* x x) 1/45) -1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) (.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 (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(literal 1/3 binary64))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (/ 1/3 x) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(literal 1/3 binary64))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (pow x -2) 1/3) 1/45) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (+ (* (pow x -2) 1/3) 1/45) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) x))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (pow x -2) 1/3) 1/45) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (+ (* (pow x -2) 1/3) 1/45) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) x))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(literal 1/3 binary64))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* x (pow x -2)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* 1/45 x) (*.f64 #s(literal 1/45 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 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/9 binary64) #s(literal 1/2025 binary64)) (pow.f64 x #s(literal 4 binary64))))
#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 (fma.f64 #s(literal 675 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 45 binary64)) x))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) (/.f64 (fma.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal -4 binary64)) (fma.f64 #s(literal 675 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 45 binary64))) x))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 151875 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 10125 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 675 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 45 binary64))) x))
#s(approx (+ (* (* x x) 1/45) -1/3) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* (* x x) 1/45) -1/3) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64) #s(literal 1/45 binary64)) x) x))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* x x) 1/45) -1/3))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))
#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 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* (pow x -2) 1/3) 1/45) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))))
#s(approx (+ (* (pow x -2) 1/3) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* (pow x -2) 1/3) 1/45) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (*.f64 (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (fma.f64 #s(literal 1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) (/.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -10125 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -675 binary64)) x) x) #s(literal 45 binary64)) (neg.f64 x)))
#s(approx (/ x (+ (* (* x x) 1/45) -1/3)) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -151875 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -10125 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 675 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 45 binary64))) (neg.f64 x)))

eval68.0ms (0.6%)

Memory: 28.2MiB live, 128.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 17 457 to 2 484 computations (85.8% saved)

prune18.0ms (0.2%)

Memory

-8.0MiB live, 37.6MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	533	1	534
Fresh	1	3	4
Picked	4	1	5
Done	0	3	3
Total	538	8	546

Accuracy

100.0%

Counts

546 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (pow x 4) 1/2025) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
✓	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 #s(approx ( (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 679 to 280 computations (58.8% saved)

regimes10.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (pow x 4) 1/2025) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))

Calls

2 calls:

5.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

-42.3MiB live, 4.5MiB allocated; 2ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

3.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify34.0ms (0.3%)

Memory

-4.7MiB live, 46.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	56
1	33	56
2	45	56
3	73	56
4	128	56
5	387	56
6	3482	56

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

derivations114.0ms (1.1%)

Memory

27.8MiB live, 73.4MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 56 to 27 computations (51.8% saved)

preprocess46.0ms (0.4%)

Memory: -9.3MiB live, 36.6MiB allocated; 5ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 230 to 142 computations (38.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze5.0ms (0%)

sample8.7s (81.2%)

explain491.0ms (4.6%)

preprocess237.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0%)

rewrite160.0ms (1.5%)

eval17.0ms (0.2%)

prune4.0ms (0%)

series10.0ms (0.1%)

rewrite191.0ms (1.8%)

eval32.0ms (0.3%)

prune11.0ms (0.1%)

series29.0ms (0.3%)

rewrite203.0ms (1.9%)

eval97.0ms (0.9%)

prune46.0ms (0.4%)

series19.0ms (0.2%)

rewrite164.0ms (1.5%)

eval68.0ms (0.6%)

prune18.0ms (0.2%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

regimes2.0ms (0%)

simplify34.0ms (0.3%)

derivations114.0ms (1.1%)

preprocess46.0ms (0.4%)

end0.0ms (0%)

Profiling