Metrics for invcot (example 3.9)

start0.0ms (0%)

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

analyze5.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample9.1s (80%)

Memory

112.0MiB live, 7 647.2MiB allocated; 2.9s collecting garbage

Samples

7.5s	3 869×	2	valid
1.3s	4 363×	1	valid
2.0ms	24×	0	valid

Precisions

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

ival-tan: 7.1s (87.9% of total)

ival-div: 516.0ms (6.4% of total)

adjust: 353.0ms (4.4% of total)

ival-sub: 94.0ms (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

explain505.0ms (4.4%)

Memory

22.9MiB live, 400.7MiB allocated; 30ms 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	255	0
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`	nan-rescue	1	0
↳	`(/.f64 #s(literal 1 binary64) x)`	overflow	1
↳	`(/.f64 #s(literal 1 binary64) (tan.f64 x))`	overflow	1

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

383.0ms	242×	2	valid
63.0ms	270×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 423.0ms

ival-tan: 377.0ms (89% of total)

ival-div: 20.0ms (4.7% of total)

adjust: 18.0ms (4.3% of total)

ival-sub: 7.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess255.0ms (2.2%)

Memory

-27.4MiB live, 154.2MiB allocated; 28ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.3%	(-.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

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

6 → 18

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite171.0ms (1.5%)

Memory

5.5MiB live, 149.1MiB allocated; 40ms 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))

eval8.0ms (0.1%)

Memory: 13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 075 to 286 computations (73.4% saved)

prune4.0ms (0%)

Memory

7.2MiB live, 7.2MiB 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))
▶	99.0%	#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))

▶

99.0%

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

Compiler

Compiled 51 to 35 computations (31.4% saved)

series8.0ms (0.1%)

Memory

-36.7MiB live, 9.8MiB allocated; 3ms 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)
2.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) 2/945)
2.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) 2/945)

Time

Variable

Point

Expression

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)

2.0ms

inf

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

2.0ms

((- (/ 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)

rewrite126.0ms (1.1%)

Memory

6.1MiB live, 148.0MiB allocated; 15ms 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: 2.9MiB live, 48.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 887 to 954 computations (86.1% saved)

prune15.0ms (0.1%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	251	8	259
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	251	11	262

Accuracy

100.0%

Counts

262 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (.f64 x x) (.f64 #s(literal 1/3 binary64) x)))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x)))
▶	54.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (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)))))
▶	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))))
	99.5%	#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))
▶	50.8%	#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))
✓	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	22.7%	#s(approx (- (/ 1 x) (/ 1 (tan 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)))))
▶	35.3%	#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 527 to 351 computations (33.4% saved)

series22.0ms (0.2%)

Memory

-14.9MiB live, 31.9MiB allocated; 2ms collecting garbage

Counts

39 → 79

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((- (/ 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) (* x x) x 3 1/91125 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) 1/45) x) (* 1/3 x)) (* 1/3 x) 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) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) -2 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (pow x -2) 1/3) 1/45) (pow x 3)) (pow x 3) (- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (pow x 3) 1/45) (* (pow x 3) 1/45))) (- (* 1/3 x) (* (pow x 3) 1/45))) (- (* (* 1/3 x) (* 1/3 x)) (* (* (pow x 3) 1/45) (* (pow x 3) 1/45))) (* (* 1/3 x) (* 1/3 x)) (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (pow x 3) 1/45) (- (* 1/3 x) (* (pow x 3) 1/45)))
6.0ms	x	@	-inf	((- (/ 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) (* x x) x 3 1/91125 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) 1/45) x) (* 1/3 x)) (* 1/3 x) 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) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) -2 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (pow x -2) 1/3) 1/45) (pow x 3)) (pow x 3) (- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (pow x 3) 1/45) (* (pow x 3) 1/45))) (- (* 1/3 x) (* (pow x 3) 1/45))) (- (* (* 1/3 x) (* 1/3 x)) (* (* (pow x 3) 1/45) (* (pow x 3) 1/45))) (* (* 1/3 x) (* 1/3 x)) (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (pow x 3) 1/45) (- (* 1/3 x) (* (pow x 3) 1/45)))
6.0ms	x	@	0	((- (/ 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) (* x x) x 3 1/91125 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) 1/45) x) (* 1/3 x)) (* 1/3 x) 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) (+ (* (pow x -2) 1/3) 1/45) (pow x -2) -2 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (+ (* (pow x -2) 1/3) 1/45) (pow x 3)) (pow x 3) (- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* 1/3 x) (* 1/3 x)) (* (* (pow x 3) 1/45) (* (pow x 3) 1/45))) (- (* 1/3 x) (* (pow x 3) 1/45))) (- (* (* 1/3 x) (* 1/3 x)) (* (* (pow x 3) 1/45) (* (pow x 3) 1/45))) (* (* 1/3 x) (* 1/3 x)) (* (* (pow x 3) 1/45) (* (pow x 3) 1/45)) (* (pow x 3) 1/45) (- (* 1/3 x) (* (pow x 3) 1/45)))

Time

Variable

Point

Expression

8.0ms

inf

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

6.0ms

-inf

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

6.0ms

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

rewrite243.0ms (2.1%)

Memory

3.0MiB live, 240.8MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	1917
0	295	1819
1	1056	1571
0	7676	1487

Stop Event

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

Counts

118 → 1 060

Calls

Call 1

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

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

eval145.0ms (1.3%)

Memory: 9.7MiB live, 193.2MiB allocated; 39ms collecting garbage
Compiler: Compiled 42 906 to 4 585 computations (89.3% saved)

prune32.0ms (0.3%)

Memory

25.8MiB live, 72.8MiB allocated; 2ms collecting garbage

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 158	12	1 170
Fresh	2	1	3
Picked	4	1	5
Done	0	3	3
Total	1 164	17	1 181

Accuracy

100.0%

Counts

1 181 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (.f64 x x) (.f64 #s(literal 1/3 binary64) x)))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x)))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #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))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
	50.8%	#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))
	50.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
	50.7%	#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))
	50.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/45 binary64)) x) x)) x))
▶	99.0%	#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))
✓	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	35.3%	#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))))
▶	49.9%	#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))))
	35.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #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)) (pow.f64 x #s(literal 3 binary64)))))

Compiler

Compiled 904 to 630 computations (30.3% saved)

series22.0ms (0.2%)

Memory

-14.0MiB live, 33.1MiB allocated; 3ms collecting garbage

Counts

46 → 105

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* 9 x)))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* 3/5 (pow x 2))))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* -1/135 x)))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 2)) 1/135))))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 -1/135))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 (- (* 1/2025 (pow x 2)) 1/135)))
#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 (/ (* (+ (* (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 (+ (* (* (* 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 (+ (* (* 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 (* (* (+ (* (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 (/ (* (+ (* (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) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#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 (- (/ 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 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ 2025 (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* 1/2025 (pow x 3))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* (pow x 3) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 (* (pow x 2) (- 1/2025 (* 1/135 (/ 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 (/ (* (+ (* (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 (+ (* (* 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 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 (/ (* (+ (* (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) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#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 (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/135 (/ 1 (pow x 2))) 1/2025)))))
#s(approx (* (+ (* (pow x 4) 1/2025) -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
7.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) (+ (* (pow x 6) 1/91125) 1/27) (pow x 6) x 6 1/91125 1/27 (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) (* (+ (* 1/2025 (* x x)) -1/135) x) (+ (* 1/2025 (* x x)) -1/135) 1/2025 (* x x) -1/135 1/9 (- (/ 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))) (/ (* (+ (* (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) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (* (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))) (/ (* (+ (* (pow x 4) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (pow x 4) 1/2025) -1/9) x) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) 4 -1/9)
6.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) (+ (* (pow x 6) 1/91125) 1/27) (pow x 6) x 6 1/91125 1/27 (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) (* (+ (* 1/2025 (* x x)) -1/135) x) (+ (* 1/2025 (* x x)) -1/135) 1/2025 (* x x) -1/135 1/9 (- (/ 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))) (/ (* (+ (* (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) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (* (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))) (/ (* (+ (* (pow x 4) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (pow x 4) 1/2025) -1/9) x) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) 4 -1/9)
6.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) (+ (* (pow x 6) 1/91125) 1/27) (pow x 6) x 6 1/91125 1/27 (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) (* (+ (* 1/2025 (* x x)) -1/135) x) (+ (* 1/2025 (* x x)) -1/135) 1/2025 (* x x) -1/135 1/9 (- (/ 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))) (/ (* (+ (* (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) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (* (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))) (/ (* (+ (* (pow x 4) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (pow x 4) 1/2025) -1/9) x) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) 4 -1/9)

Time

Variable

Point

Expression

7.0ms

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) (+ (* (pow x 6) 1/91125) 1/27) (pow x 6) x 6 1/91125 1/27 (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) (* (+ (* 1/2025 (* x x)) -1/135) x) (+ (* 1/2025 (* x x)) -1/135) 1/2025 (* x x) -1/135 1/9 (- (/ 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))) (/ (* (+ (* (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) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (* (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))) (/ (* (+ (* (pow x 4) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (pow x 4) 1/2025) -1/9) x) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) 4 -1/9)

6.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) (+ (* (pow x 6) 1/91125) 1/27) (pow x 6) x 6 1/91125 1/27 (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) (* (+ (* 1/2025 (* x x)) -1/135) x) (+ (* 1/2025 (* x x)) -1/135) 1/2025 (* x x) -1/135 1/9 (- (/ 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))) (/ (* (+ (* (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) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (* (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))) (/ (* (+ (* (pow x 4) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (pow x 4) 1/2025) -1/9) x) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) 4 -1/9)

6.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) (+ (* (pow x 6) 1/91125) 1/27) (pow x 6) x 6 1/91125 1/27 (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) (* (+ (* 1/2025 (* x x)) -1/135) x) (+ (* 1/2025 (* x x)) -1/135) 1/2025 (* x x) -1/135 1/9 (- (/ 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))) (/ (* (+ (* (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) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (* (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))) (/ (* (+ (* (pow x 4) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (pow x 4) 1/2025) -1/9) x) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) 4 -1/9)

rewrite172.0ms (1.5%)

Memory

12.5MiB live, 239.2MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	2492
0	374	2350
1	1444	2340
0	8241	2291

Stop Event

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

Counts

151 → 487

Calls

Call 1

Inputs
#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 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
(.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 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/91125 binary64)
#s(literal 1/27 binary64)
(/.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))
(.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 x x) #s(literal -1/135 binary64)) x)
(fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64))
#s(literal 1/2025 binary64)
(*.f64 x x)
#s(literal -1/135 binary64)
#s(literal 1/9 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 (.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))))
(/.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)))
(.f64 #s(approx (+ ( (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x)
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #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 1/45 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (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 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(*.f64 (fma.f64 (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))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* 9 x)))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* 3/5 (pow x 2))))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* -1/135 x)))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 2)) 1/135))))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 -1/135))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 (- (* 1/2025 (pow x 2)) 1/135)))
#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 (/ (* (+ (* (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 (+ (* (* (* 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 (+ (* (* 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 (* (* (+ (* (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 (/ (* (+ (* (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) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#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 (- (/ 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 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ 2025 (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* 1/2025 (pow x 3))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* (pow x 3) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 (* 1/2025 (pow x 2))))
#s(approx (+ (* 1/2025 (* x x)) -1/135) #s(hole binary64 (* (pow x 2) (- 1/2025 (* 1/135 (/ 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 (/ (* (+ (* (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 (+ (* (* 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 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 (/ (* (+ (* (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) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#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 (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) #s(hole binary64 (* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/135 (/ 1 (pow x 2))) 1/2025)))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)))
(.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))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) #s(literal 1/729 binary64))) (.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64))))
(/.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64))) (.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))))))
(/.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1/19683 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/729 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64))))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) #s(literal 1/729 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64))))
(/.f64 (.f64 x (-.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))))
(/.f64 (.f64 x (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/19683 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/729 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) #s(literal 1/729 binary64)) (neg.f64 x)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64)) (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64))) (neg.f64 x)) (.f64 (-.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) (neg.f64 x)) (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)))) (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/19683 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 3 binary64))) (neg.f64 x)) (.f64 (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64)))) (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64)) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64))) x) (.f64 (-.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) x) (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)))) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/19683 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 3 binary64))) x) (.f64 (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64)))) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) (.f64 #s(literal 1/27 binary64) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
(fma.f64 (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (.f64 (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) #s(literal 1/27 binary64)))
(fma.f64 (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) #s(literal 1/27 binary64) (.f64 (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))))
(fma.f64 #s(literal 1/27 binary64) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))) (.f64 #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)))))
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#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #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 (+ (* (* 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 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 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (.f64 x x)))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#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) x) (*.f64 #s(literal -1/9 binary64) x))
#s(approx (* (+ (* (pow x 4) 1/2025) -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 (+ (* (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 (- (/ 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 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 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 6) 1/91125) 1/27) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))
#s(approx (+ (* (pow x 6) 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 (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (/.f64 #s(literal 2025 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (/.f64 (fma.f64 #s(literal 30375 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2025 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (/.f64 (-.f64 (fma.f64 #s(literal 30375 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2025 binary64)) (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (/.f64 (+.f64 (fma.f64 #s(literal 30375 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -102515625 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -6834375 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2025 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) (.f64 (-.f64 #s(literal 1/2025 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/135 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64) #s(literal 1/2025 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/135 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2025 binary64)))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) (.f64 (-.f64 #s(literal 1/2025 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/135 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* 1/2025 (* x x)) -1/135) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))
#s(approx (+ (* 1/2025 (* x x)) -1/135) (.f64 (-.f64 #s(literal 1/2025 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/135 binary64))) (*.f64 x 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 (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 (.f64 x x) (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) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (.f64 (.f64 x x) (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) (*.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 (* (+ (* (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 (pow.f64 x #s(literal 7 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64) #s(literal 1/91125 binary64))))
#s(approx (+ (* (pow x 6) 1/91125) 1/27) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))
#s(approx (+ (* (pow x 6) 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 (-.f64 #s(literal 1/2025 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/135 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64) #s(literal 1/2025 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/135 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 #s(literal 1/45 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#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 (/ (* (+ (* (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) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64)))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) x) (.f64 (-.f64 #s(literal 1/2025 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5 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 (-.f64 #s(literal 1/2025 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (/.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 30375 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2025 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (+ (* 1/2025 (* x x)) -1/135) x) x) 1/9)) (/.f64 (fma.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 102515625 binary64) (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 30375 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2025 binary64)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
#s(approx (* (+ (* 1/2025 (* x x)) -1/135) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/135 binary64) #s(literal -1/2025 binary64))))
#s(approx (* (+ (* (pow x 4) 1/2025) -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))))

eval79.0ms (0.7%)

Memory: 2.1MiB live, 150.3MiB allocated; 24ms collecting garbage
Compiler: Compiled 22 741 to 2 670 computations (88.3% saved)

prune31.0ms (0.3%)

Memory

-7.8MiB live, 85.5MiB allocated; 11ms collecting garbage

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	616	6	622
Fresh	6	2	8
Picked	4	1	5
Done	0	4	4
Total	626	13	639

Accuracy

100.0%

Counts

639 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (.f64 x x) (.f64 #s(literal 1/3 binary64) x)))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x)))
	99.1%	#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) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(literal 1/9 binary64))))
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (pow x 4) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (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))
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/9 binary64)))))
	50.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
✓	99.0%	#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))
✓	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	50.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
	50.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (+ (* (pow x -2) 1/3) 1/45) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (.f64 x x))) x) (*.f64 x x))))

Compiler

Compiled 1 253 to 468 computations (62.6% saved)

regimes33.0ms (0.3%)

Memory

4.0MiB live, 38.3MiB allocated; 19ms collecting garbage

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(literal 1/9 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))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #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 (.f64 #s(approx (+ ( (pow x 4) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) x) (.f64 x x) (.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (+ (* (pow x -2) 1/3) 1/45) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (.f64 x x))) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/9 binary64)))))
#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))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
#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 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #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)) (pow.f64 x #s(literal 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 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.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)))))
#s(approx (- (/ 1 x) (/ 1 (tan 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)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) #s(literal 1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal -1/27 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (*.f64 x x) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.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)))))

Outputs

#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)))))

Calls

2 calls:

25.0ms	x
6.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes10.0ms (0.1%)

Memory

29.3MiB live, 29.3MiB allocated; 0ms collecting garbage

Counts

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

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes21.0ms (0.2%)

Memory

-26.0MiB live, 14.0MiB allocated; 18ms collecting garbage

Counts

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

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

Calls

2 calls:

19.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

6.7MiB live, 6.7MiB 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
99.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.0%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify140.0ms (1.2%)

Memory

-34.3MiB live, 88.5MiB allocated; 119ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	102
1	43	102
2	55	102
3	83	102
4	138	102
5	398	102
6	3558	102

Stop Event

1×	node limit

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

derivations151.0ms (1.3%)

Memory

30.9MiB live, 72.3MiB allocated; 18ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 102 to 39 computations (61.8% saved)

preprocess41.0ms (0.4%)

Memory: -3.5MiB live, 42.1MiB allocated; 5ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 316 to 160 computations (49.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze5.0ms (0%)

sample9.1s (80%)

explain505.0ms (4.4%)

preprocess255.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0%)

rewrite171.0ms (1.5%)

eval8.0ms (0.1%)

prune4.0ms (0%)

series8.0ms (0.1%)

rewrite126.0ms (1.1%)

eval32.0ms (0.3%)

prune15.0ms (0.1%)

series22.0ms (0.2%)

rewrite243.0ms (2.1%)

eval145.0ms (1.3%)

prune32.0ms (0.3%)

series22.0ms (0.2%)

rewrite172.0ms (1.5%)

eval79.0ms (0.7%)

prune31.0ms (0.3%)

regimes33.0ms (0.3%)

regimes10.0ms (0.1%)

regimes21.0ms (0.2%)

regimes4.0ms (0%)

regimes2.0ms (0%)

simplify140.0ms (1.2%)

derivations151.0ms (1.3%)

preprocess41.0ms (0.4%)

end0.0ms (0%)

Profiling