Metrics for invcot (example 3.9)

start0.0ms (0%)

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

analyze7.0ms (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)

sample16.9s (82.1%)

Memory

108.9MiB live, 9 198.7MiB allocated; 5.0s collecting garbage

Samples

13.2s	3 957×	2	valid
3.0s	4 279×	1	valid
2.0ms	20×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 15.0s

ival-tan: 12.7s (84.3% of total)

ival-div: 1.4s (9.6% of total)

adjust: 656.0ms (4.4% of total)

ival-sub: 249.0ms (1.7% of total)

exact: 12.0ms (0.1% of total)

ival-assert: 5.0ms (0% of total)

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

const: 0.0ms (0% of total)

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

Bogosity

explain732.0ms (3.6%)

Memory

-2.8MiB live, 324.8MiB allocated; 65ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

512.0ms	234×	2	valid
107.0ms	278×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 576.0ms

ival-tan: 496.0ms (86.1% of total)

ival-div: 35.0ms (6.1% of total)

adjust: 32.0ms (5.6% of total)

ival-sub: 10.0ms (1.7% of total)

ival-assert: 1.0ms (0.2% of total)

ival-true: 1.0ms (0.2% of total)

exact: 1.0ms (0.2% of total)

preprocess467.0ms (2.3%)

Memory

17.4MiB live, 200.0MiB allocated; 99ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	21	25
2	36	24
3	70	24
4	177	24
5	1044	24
6	5520	24
0	6	8
0	10	8
1	15	8
2	21	8
3	38	8
4	95	8
5	501	8
6	7749	8
0	8001	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.1%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 8 to 6 computations (25% saved)

series10.0ms (0%)

Memory

5.8MiB live, 5.8MiB 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
4.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) 1 x (/ 1 (tan x)) (tan x))
3.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) 1 x (/ 1 (tan x)) (tan x))
2.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) 1 x (/ 1 (tan x)) (tan x))

rewrite261.0ms (1.3%)

Memory

23.4MiB live, 113.2MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	287
1	502	287
0	4501	272

Stop Event

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

Counts

24 → 75

Calls

Call 1

Inputs
(- (/ 1 x) (/ 1 (tan x)))
(/ 1 x)
1
x
(/ 1 (tan x))
(tan 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))

eval64.0ms (0.3%)

Memory: -21.6MiB live, 30.1MiB allocated; 17ms collecting garbage
Compiler: Compiled 1 075 to 286 computations (73.4% saved)

prune6.0ms (0%)

Memory

6.0MiB live, 6.0MiB 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))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.1%	#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))

▶

99.5%

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

▶

99.1%

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

Compiler

Compiled 51 to 35 computations (31.4% saved)

series13.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

14 → 34

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) 2/945)
4.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) 2/945)
3.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) 2/945)

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)

4.0ms

inf

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

3.0ms

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

rewrite227.0ms (1.1%)

Memory

-19.9MiB live, 113.5MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	758
1	534	757
0	4270	686

Stop Event

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

Counts

48 → 209

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
(* 1/3 x)
1/3
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* (+ (* (* x x) 1/45) 1/3) x)))
(* (+ (* (* x x) 1/45) 1/3) x)
(+ (* (* x x) 1/45) 1/3)
(* x x)
1/45
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) 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
#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))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(.f64 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) x)
(.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #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 #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 (.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 1/3 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))))
(/.f64 (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 (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 (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)))))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/3 binary64))
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(+.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64)))) (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))) #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 x x) (fma.f64 (.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64)))) (pow.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))) #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 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64)))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))))
(/.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))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64)) (.f64 #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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (*.f64 #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 #s(literal 1/45 binary64) x) x #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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64)) (.f64 #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 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64) #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 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* (+ (* (* 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))))

eval62.0ms (0.3%)

Memory: 7.4MiB live, 56.1MiB allocated; 25ms collecting garbage
Compiler: Compiled 6 887 to 954 computations (86.1% saved)

prune17.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	256	3	259
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	256	6	262

Accuracy

99.9%

Counts

262 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
▶	99.5%	#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))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	53.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
✓	99.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 137 to 95 computations (30.7% saved)

series35.0ms (0.2%)

Memory

-18.9MiB live, 26.7MiB allocated; 11ms collecting garbage

Counts

33 → 67

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* 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 x #s(hole binary64 x))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (pow (* x x) 3) #s(hole binary64 (pow x 6)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 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 (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))

Calls

3 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	((- (/ 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) x -2 1/3 1/45 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* 1/2025 (pow x 4)) -1/9) 1/2025 (pow x 4) 4 -1/9 (+ (* (* x x) 1/45) -1/3) (* x x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 3 1/91125 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/9)
8.0ms	x	@	-inf	((- (/ 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) x -2 1/3 1/45 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* 1/2025 (pow x 4)) -1/9) 1/2025 (pow x 4) 4 -1/9 (+ (* (* x x) 1/45) -1/3) (* x x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 3 1/91125 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/9)
8.0ms	x	@	0	((- (/ 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) x -2 1/3 1/45 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* 1/2025 (pow x 4)) -1/9) 1/2025 (pow x 4) 4 -1/9 (+ (* (* x x) 1/45) -1/3) (* x x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 3 1/91125 1/27 (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) 1/9)

Time

Variable

Point

Expression

16.0ms

inf

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

8.0ms

-inf

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

8.0ms

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

rewrite413.0ms (2%)

Memory

26.9MiB live, 209.9MiB allocated; 111ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	1361
1	863	1307
0	6534	1189

Stop Event

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

Counts

100 → 565

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* #s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (* (+ (* (pow x -2) 1/3) 1/45) x) x))) x)))
(* #s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (* (+ (* (pow x -2) 1/3) 1/45) x) x))) x)
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (* (+ (* (pow x -2) 1/3) 1/45) x) x)))
(* (* (+ (* (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)
x
-2
1/3
1/45
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3))))
(/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3))
(* (+ (* 1/2025 (pow x 4)) -1/9) x)
(+ (* 1/2025 (pow x 4)) -1/9)
1/2025
(pow x 4)
4
-1/9
(+ (* (* x x) 1/45) -1/3)
(* x x)
-1/3
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (/ (* (+ (* (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) (+ (* (* (* 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)
3
1/91125
1/27
(+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)
(* (* x x) 1/45)
1/9
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (* 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 x #s(hole binary64 x))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (pow (* x x) 3) #s(hole binary64 (pow x 6)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 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 (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/2025 (pow x 4)) -1/9) x) (+ (* (* x x) 1/45) -1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* (pow (* x x) 3) 1/91125) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))

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

eval153.0ms (0.7%)

Memory: -32.2MiB live, 128.1MiB allocated; 52ms collecting garbage
Compiler: Compiled 21 351 to 2 703 computations (87.3% saved)

prune32.0ms (0.2%)

Memory

-6.9MiB live, 40.1MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	607	8	615
Fresh	0	0	0
Picked	3	0	3
Done	0	3	3
Total	610	11	621

Accuracy

100.0%

Counts

621 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
	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 (.f64 #s(approx (+ ( 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
▶	99.7%	#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 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	53.1%	#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))
▶	53.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
▶	99.0%	#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))
✓	99.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 547 to 389 computations (28.9% saved)

series35.0ms (0.2%)

Memory

26.4MiB live, 26.4MiB allocated; 0ms collecting garbage

Counts

49 → 104

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 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
(/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))
(*.f64 #s(literal 1/45 binary64) x)
#s(literal 1/45 binary64)
#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 #s(approx ( (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 #s(approx ( (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 #s(approx ( (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x))
(.f64 #s(approx ( (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 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))
(.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 (+ (* (* 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))
(.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)
(*.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)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) x)
(-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
#s(literal 2 binary64)
#s(literal 1/81 binary64)
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* 1/45 x) #s(hole binary64 (* 1/45 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 (/ 1/3 x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ (/ 1 (neg x)) (neg x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (neg x)) #s(hole binary64 (/ -1 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) #s(hole binary64 (* -1/81 x)))
#s(approx (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) #s(hole binary64 (* x (- (* 1/4100625 (pow x 8)) 1/81))))
#s(approx (- (pow (* (pow x 4) 1/2025) 2) 1/81) #s(hole binary64 -1/81))
#s(approx (- (pow (* (pow x 4) 1/2025) 2) 1/81) #s(hole binary64 (- (* 1/4100625 (pow x 8)) 1/81)))
#s(approx (pow (* (pow x 4) 1/2025) 2) #s(hole binary64 (* 1/4100625 (pow x 8))))
#s(approx (* (pow x 4) 1/2025) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 -1/27))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (- (* 1/405 (pow x 2)) 1/27)))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (- (* (pow x 2) (+ 1/405 (* -1/6075 (pow x 2)))) 1/27)))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (- (* (pow x 2) (+ 1/405 (* (pow x 2) (- (* 1/91125 (pow x 2)) 1/6075)))) 1/27)))
#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 (+ 1/9 (* 1/2025 (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 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) #s(hole binary64 (* 1/4100625 (pow x 9))))
#s(approx (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) #s(hole binary64 (* (pow x 9) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))))
#s(approx (- (pow (* (pow x 4) 1/2025) 2) 1/81) #s(hole binary64 (* 1/4100625 (pow x 8))))
#s(approx (- (pow (* (pow x 4) 1/2025) 2) 1/81) #s(hole binary64 (* (pow x 8) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* (pow x 6) (- 1/91125 (* 1/6075 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* (pow x 6) (- (+ 1/91125 (/ 1/405 (pow x 4))) (* 1/6075 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* (pow x 6) (- (+ 1/91125 (/ 1/405 (pow x 4))) (+ (* 1/6075 (/ 1 (pow x 2))) (* 1/27 (/ 1 (pow x 6))))))))
#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 (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))
#s(approx (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/81 (/ 1 (pow x 8))) 1/4100625)))))

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3))) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) x 4 1/2025 -1/9 (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x) (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) (/ (/ 1 (neg x)) (neg x)) (/ 1 (neg x)) (neg x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3))) (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (- (pow (* (pow x 4) 1/2025) 2) 1/81) (pow (* (pow x 4) 1/2025) 2) (* (pow x 4) 1/2025) 2 1/81 (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) (+ (* (pow x 4) 1/2025) 1/9) 1/9)
10.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3))) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) x 4 1/2025 -1/9 (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x) (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) (/ (/ 1 (neg x)) (neg x)) (/ 1 (neg x)) (neg x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3))) (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (- (pow (* (pow x 4) 1/2025) 2) 1/81) (pow (* (pow x 4) 1/2025) 2) (* (pow x 4) 1/2025) 2 1/81 (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) (+ (* (pow x 4) 1/2025) 1/9) 1/9)
9.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3))) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) x 4 1/2025 -1/9 (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x) (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) (/ (/ 1 (neg x)) (neg x)) (/ 1 (neg x)) (neg x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3))) (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (- (pow (* (pow x 4) 1/2025) 2) 1/81) (pow (* (pow x 4) 1/2025) 2) (* (pow x 4) 1/2025) 2 1/81 (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) (+ (* (pow x 4) 1/2025) 1/9) 1/9)

Time

Variable

Point

Expression

12.0ms

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3))) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) x 4 1/2025 -1/9 (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x) (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) (/ (/ 1 (neg x)) (neg x)) (/ 1 (neg x)) (neg x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3))) (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (- (pow (* (pow x 4) 1/2025) 2) 1/81) (pow (* (pow x 4) 1/2025) 2) (* (pow x 4) 1/2025) 2 1/81 (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) (+ (* (pow x 4) 1/2025) 1/9) 1/9)

10.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3))) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) x 4 1/2025 -1/9 (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x) (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) (/ (/ 1 (neg x)) (neg x)) (/ 1 (neg x)) (neg x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3))) (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (- (pow (* (pow x 4) 1/2025) 2) 1/81) (pow (* (pow x 4) 1/2025) 2) (* (pow x 4) 1/2025) 2 1/81 (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) (+ (* (pow x 4) 1/2025) 1/9) 1/9)

9.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3))) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) x 4 1/2025 -1/9 (/ x (+ (* (* 1/45 x) x) -1/3)) (+ (* (* 1/45 x) x) -1/3) (* 1/45 x) 1/45 -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) (* (+ (* (pow x -2) 1/3) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x) (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) (/ (/ 1 (neg x)) (neg x)) (/ 1 (neg x)) (neg x) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3))) (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (- (pow (* (pow x 4) 1/2025) 2) 1/81) (pow (* (pow x 4) 1/2025) 2) (* (pow x 4) 1/2025) 2 1/81 (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) (+ (* (pow x 4) 1/2025) 1/9) 1/9)

rewrite428.0ms (2.1%)

Memory

-10.5MiB live, 171.0MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	324	2335
1	1419	2307
0	8304	2111

Stop Event

1×	iter limit
1×	node limit

Counts

153 → 551

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3)))))
(* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3)))
(+ (* (pow x 4) 1/2025) -1/9)
(pow x 4)
x
4
1/2025
-1/9
(/ x (+ (* (* 1/45 x) x) -1/3))
(+ (* (* 1/45 x) x) -1/3)
(* 1/45 x)
1/45
-1/3
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* #s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x))) x))) x)))
(* #s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x))) x))) x)
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x))) x)))
(* #s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x))) x)
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x)))
(/ 1/3 x)
1/3
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* #s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x))) x)))
(* #s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x))) x)
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x)))
(* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x)
(* (+ (* (/ 1 (* x x)) 1/3) 1/45) x)
(+ (* (/ 1 (* x x)) 1/3) 1/45)
(/ 1 (* x x))
1
(* x x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* #s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x))) x)))
(* #s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x))) x)
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x)))
(* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x)
(* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x)
(+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45)
(/ (/ 1 (neg x)) (neg x))
(/ 1 (neg x))
(neg x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)))))
(/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)))
(* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x)
(- (pow (* (pow x 4) 1/2025) 2) 1/81)
(pow (* (pow x 4) 1/2025) 2)
(* (pow x 4) 1/2025)
2
1/81
(* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3))
(+ (* (pow x 4) 1/2025) 1/9)
1/9
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* 1/45 x) #s(hole binary64 (* 1/45 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 (/ 1/3 x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x) #s(hole binary64 1/3))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ (/ 1 (neg x)) (neg x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (neg x)) #s(hole binary64 (/ -1 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) #s(hole binary64 (* -1/81 x)))
#s(approx (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) #s(hole binary64 (* x (- (* 1/4100625 (pow x 8)) 1/81))))
#s(approx (- (pow (* (pow x 4) 1/2025) 2) 1/81) #s(hole binary64 -1/81))
#s(approx (- (pow (* (pow x 4) 1/2025) 2) 1/81) #s(hole binary64 (- (* 1/4100625 (pow x 8)) 1/81)))
#s(approx (pow (* (pow x 4) 1/2025) 2) #s(hole binary64 (* 1/4100625 (pow x 8))))
#s(approx (* (pow x 4) 1/2025) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 -1/27))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (- (* 1/405 (pow x 2)) 1/27)))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (- (* (pow x 2) (+ 1/405 (* -1/6075 (pow x 2)))) 1/27)))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (- (* (pow x 2) (+ 1/405 (* (pow x 2) (- (* 1/91125 (pow x 2)) 1/6075)))) 1/27)))
#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 (+ 1/9 (* 1/2025 (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 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* 1/45 x) x) -1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (pow x -2) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (/ 1 (* x x)) 1/3) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) #s(hole binary64 (* 1/4100625 (pow x 9))))
#s(approx (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) #s(hole binary64 (* (pow x 9) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))))
#s(approx (- (pow (* (pow x 4) 1/2025) 2) 1/81) #s(hole binary64 (* 1/4100625 (pow x 8))))
#s(approx (- (pow (* (pow x 4) 1/2025) 2) 1/81) #s(hole binary64 (* (pow x 8) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* (pow x 6) (- 1/91125 (* 1/6075 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* (pow x 6) (- (+ 1/91125 (/ 1/405 (pow x 4))) (* 1/6075 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* (pow x 6) (- (+ 1/91125 (/ 1/405 (pow x 4))) (+ (* 1/6075 (/ 1 (pow x 2))) (* 1/27 (/ 1 (pow x 6))))))))
#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 (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))
#s(approx (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/81 (/ 1 (pow x 8))) 1/4100625)))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) (/.f64 x (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
(.f64 (/.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x)) (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) (neg.f64 x))) (neg.f64 (.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 1/6561 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal 1/81 binary64)) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)) #s(literal 1/531441 binary64)) x) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (+.f64 #s(literal 1/6561 binary64) (.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)))) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64))) (.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/9 binary64))))))
(/.f64 (.f64 x (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/9 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (neg.f64 x)) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (neg.f64 x)) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/9 binary64)))) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/9 binary64)))) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(/.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) (neg.f64 x)) (.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64))))
(neg.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) (neg.f64 x)) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) (.f64 #s(literal -1/9 binary64) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/9 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64))) (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64))) (-.f64 #s(literal -1/9 binary64) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/9 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal -1/9 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 #s(literal 1/45 binary64) x)) (.f64 x x) #s(literal -1/9 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64))) (fabs.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64))) #s(literal -1/9 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(fma.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) (.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal -1/9 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/9 binary64))
(fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 #s(literal 1/45 binary64) x)) #s(literal -1/9 binary64))
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1/9 binary64))
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
(-.f64 #s(literal -1/9 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64)))
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#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/405 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/91125 binary64)) (.f64 #s(literal 1/6075 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (* (+ (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 x) x) -1/3)) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/405 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/91125 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64) (.f64 #s(literal 1/6075 binary64) (pow.f64 x #s(literal -2 binary64)))))))
#s(approx (+ (* (pow x 4) 1/2025) 1/9) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (pow x 4) 1/2025) 1/9) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9 binary64) #s(literal 1/2025 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) (neg.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -10125 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -675 binary64)) (*.f64 x x)) #s(literal 45 binary64)) x)))
#s(approx (/ x (+ (* (* 1/45 x) x) -1/3)) (/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal -151875 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -10125 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 675 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 45 binary64)))) x))
#s(approx (* (- (pow (* (pow x 4) 1/2025) 2) 1/81) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 1/81 binary64) #s(literal -1/4100625 binary64))) (pow.f64 x #s(literal 9 binary64))))

eval109.0ms (0.5%)

Memory: 30.5MiB live, 117.9MiB allocated; 23ms collecting garbage
Compiler: Compiled 19 633 to 2 536 computations (87.1% saved)

prune133.0ms (0.6%)

Memory

-30.8MiB live, 29.6MiB allocated; 16ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	525	3	528
Fresh	1	2	3
Picked	4	1	5
Done	0	3	3
Total	530	9	539

Accuracy

100.0%

Counts

539 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( (pow x 4) 1/2025) 2) 1/81) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
	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 (.f64 #s(approx (+ ( 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (pow x 4) 1/2025) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
	53.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (.f64 x x))) 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))
✓	99.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 757 to 338 computations (55.4% saved)

regimes15.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 #s(approx ( (+ (* (pow x -2) 1/3) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (pow x 4) 1/2025) -1/9) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (+ (* (/ (/ 1 (neg x)) (neg x)) 1/3) 1/45) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (.f64 x x))) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (pow (* x x) 3) 1/91125) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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))) (.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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #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 #s(approx (- (pow ( (pow x 4) 1/2025) 2) 1/81) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))))

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

Calls

2 calls:

7.0ms	x
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

2.0ms	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)

regimes3.0ms (0%)

Memory

3.0MiB live, 3.0MiB 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
99.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.1%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify83.0ms (0.4%)

Memory

-20.7MiB live, 25.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	56
1	34	56
2	46	56
3	74	56
4	129	56
5	389	56
6	3514	56

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

derivations246.0ms (1.2%)

Memory

20.8MiB live, 112.5MiB allocated; 13ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 56 to 28 computations (50% saved)

preprocess133.0ms (0.6%)

Memory: -15.4MiB live, 33.2MiB allocated; 18ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 230 to 144 computations (37.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze7.0ms (0%)

sample16.9s (82.1%)

explain732.0ms (3.6%)

preprocess467.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

series10.0ms (0%)

rewrite261.0ms (1.3%)

eval64.0ms (0.3%)

prune6.0ms (0%)

series13.0ms (0.1%)

rewrite227.0ms (1.1%)

eval62.0ms (0.3%)

prune17.0ms (0.1%)

series35.0ms (0.2%)

rewrite413.0ms (2%)

eval153.0ms (0.7%)

prune32.0ms (0.2%)

series35.0ms (0.2%)

rewrite428.0ms (2.1%)

eval109.0ms (0.5%)

prune133.0ms (0.6%)

regimes15.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

simplify83.0ms (0.4%)

derivations246.0ms (1.2%)

preprocess133.0ms (0.6%)

end0.0ms (0%)

Profiling