Metrics for invcot (example 3.9)

start0.0ms (0%)

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

analyze4.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample8.5s (82%)

Memory

102.9MiB live, 9 707.5MiB allocated; 2.6s collecting garbage

Samples

7.1s	3 961×	2	valid
1.1s	4 279×	1	valid
1.0ms	16×	0	valid

Precisions

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

ival-tan: 7.1s (89.9% of total)

ival-div!: 390.0ms (4.9% of total)

adjust: 354.0ms (4.5% of total)

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

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

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

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

Bogosity

explain645.0ms (6.2%)

Memory

-19.0MiB live, 932.1MiB allocated; 104ms 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

459.0ms	234×	2	valid
74.0ms	278×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 511.0ms

ival-tan: 445.0ms (87% of total)

adjust: 46.0ms (9% of total)

ival-div!: 17.0ms (3.3% of total)

ival-sub!: 3.0ms (0.6% of total)

preprocess68.0ms (0.7%)

Memory

2.4MiB live, 42.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.5%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Symmetry

(negabs x)

Compiler

Compiled 16 to 12 computations (25% saved)

series5.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

6 → 18

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite164.0ms (1.6%)

Memory

1.4MiB live, 186.3MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

24 → 75

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (tan.f64 x) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x))) (.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (tan.f64 x)) (.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))) (.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(-.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) x)) (/.f64 x (.f64 (tan.f64 x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
x
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(pow.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (cos.f64 x) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))))
(tan.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (PI.f64)))
(tan.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (tan.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))) (.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (sin.f64 x)) (.f64 #s(literal 2 binary64) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (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) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (/ 1 (tan x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (tan x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (tan x)) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (tan x)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #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 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (/ 1 (tan x)) (/.f64 (cos.f64 x) (sin.f64 x)))
#s(approx (tan x) (tan.f64 x))

eval7.0ms (0.1%)

Memory: 15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 047 to 282 computations (73.1% saved)

prune2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accuracy

99.5%

Counts

71 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

9 → 17

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45)
1.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45)
1.0ms	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)

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

((- (/ 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)

rewrite78.0ms (0.8%)

Memory

3.3MiB live, 49.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

26 → 95

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64))) x) (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)))) (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 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 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64))))))
(fma.f64 (.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/45 binary64)) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))
(fma.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) x))
(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/45 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) (.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) (.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/45 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 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))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 #s(literal 1/45 binary64) x) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/45 binary64)))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/45 binary64) x)))
(-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/45 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (* 1/3 x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx x x)
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (* x x) 1/45) 1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) (.f64 x x)))
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x) x))

eval33.0ms (0.3%)

Memory: -38.8MiB live, 13.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 2 180 to 363 computations (83.3% saved)

prune4.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	83	6	89

Accuracy

100.0%

Counts

89 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
▶	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
▶	52.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) (.f64 x x))))

Compiler

Compiled 149 to 93 computations (37.6% saved)

series19.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Counts

32 → 69

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

6.0ms

inf

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

6.0ms

-inf

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

5.0ms

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

rewrite227.0ms (2.2%)

Memory

-2.6MiB live, 184.6MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	1747
0	264	1435
1	977	1310
0	7069	1241

Stop Event

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

Counts

101 → 691

Calls

Call 1

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

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

eval93.0ms (0.9%)

Memory: 2.1MiB live, 143.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 33 264 to 3 498 computations (89.5% saved)

prune19.0ms (0.2%)

Memory

-18.3MiB live, 32.9MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	793	7	800
Fresh	0	0	0
Picked	3	1	4
Done	0	2	2
Total	796	10	806

Accuracy

100.0%

Counts

806 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
▶	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
✓	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 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
▶	39.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x))))
	52.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
▶	51.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (+ (/ 1/3 (* x x)) 1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 x x))))
▶	56.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (+ (/ 1/3 (* x x)) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))

Compiler

Compiled 556 to 350 computations (37.1% saved)

series15.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB allocated; 0ms collecting garbage

Counts

36 → 72

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) 1/27 x (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) (* x x) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (/ 1/3 (* x x)) 1/45) x) (* x x)) (* (+ (/ 1/3 (* x x)) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) -1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (/ 1/3 (* x x)) 1/45) x) (* x x)) (* (+ (/ 1/3 (* x x)) 1/45) x) (+ (/ 1/3 (* x x)) 1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) (- 1/45 (/ -1/3 (* x x))) (/ -1/3 (* x x)) (* (* x x) x))
5.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) 1/27 x (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) (* x x) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (/ 1/3 (* x x)) 1/45) x) (* x x)) (* (+ (/ 1/3 (* x x)) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) -1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (/ 1/3 (* x x)) 1/45) x) (* x x)) (* (+ (/ 1/3 (* x x)) 1/45) x) (+ (/ 1/3 (* x x)) 1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) (- 1/45 (/ -1/3 (* x x))) (/ -1/3 (* x x)) (* (* x x) x))
4.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9)) (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) 1/27 x (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (* (* x x) 1/45) (* x x) 1/45 (+ (* (* x x) 1/45) -1/3) -1/3 1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (/ 1/3 (* x x)) 1/45) x) (* x x)) (* (+ (/ 1/3 (* x x)) 1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* (* x x) (* x x)) 1/2025) -1/9) -1/9 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (+ (/ 1/3 (* x x)) 1/45) x) (* x x)) (* (+ (/ 1/3 (* x x)) 1/45) x) (+ (/ 1/3 (* x x)) 1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (* (- 1/45 (/ -1/3 (* x x))) (* (* x x) x)) (- 1/45 (/ -1/3 (* x x))) (/ -1/3 (* x x)) (* (* x x) x))

Time

Variable

Point

Expression

5.0ms

-inf

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

5.0ms

inf

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

4.0ms

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

rewrite178.0ms (1.7%)

Memory

11.1MiB live, 150.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	2030
0	257	1917
1	985	1629
0	7151	1497

Stop Event

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

Counts

108 → 364

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 x (/.f64 #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))))
(.f64 (/.f64 (.f64 #s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/81 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) (.f64 x x) #s(literal -1/9 binary64)))
(.f64 (/.f64 (.f64 #s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) #s(literal 1/729 binary64))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))) (.f64 x x)))))
(.f64 (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))) #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)))
(.f64 #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(.f64 x (/.f64 #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64))))
(/.f64 (.f64 (neg.f64 x) #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64))) (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64)))
(/.f64 (.f64 #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64)))
(neg.f64 (/.f64 (.f64 (neg.f64 x) #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))))
(neg.f64 (/.f64 (.f64 #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/9 binary64))))
(.f64 #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x)
(.f64 x #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
x
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 1/8303765625 binary64) (pow.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/4100625 binary64) (-.f64 (.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/81 binary64))) (neg.f64 (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 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) #s(literal 1/729 binary64))) (neg.f64 (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 (neg.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))))) (neg.f64 (-.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 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal -1/81 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) (.f64 x x) #s(literal -1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 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 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) #s(literal 1/729 binary64)) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))) (.f64 x x)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x) #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)))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/45 binary64) #s(literal 1/9 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) x) (*.f64 #s(literal 1/45 binary64) x) #s(literal 1/9 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/9 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1/9 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) x) x #s(literal 1/9 binary64))
(fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/45 binary64)) #s(literal 1/45 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
(fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))
(fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) x)) x (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))
(fma.f64 (.f64 #s(literal 1/2025 binary64) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) x) (.f64 x x)) #s(literal 1/45 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
(fma.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/45 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/45 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 (neg.f64 x) x)) (.f64 #s(literal 1/45 binary64) (.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #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)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
(fma.f64 (fabs.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) x)) (fabs.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) x)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
(fma.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/2025 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))) #s(literal 1/9 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64))) #s(literal 1/9 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))
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(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (neg.f64 x) x) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (*.f64 #s(literal 1/27 binary64) x))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (.f64 (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/27 binary64)) x))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x) #s(literal 1/27 binary64)))
#s(approx x x)
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(literal 1/9 binary64))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (fma.f64 (.f64 (fma.f64 (.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 #s(literal 1/45 binary64) x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (* x x) 1/45) -1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (* (+ (/ 1/3 (* x x)) 1/45) x) (* x x)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (* (+ (/ 1/3 (* x x)) 1/45) x) (* x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (/ 1/3 (* x x)) 1/45) x) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (/ 1/3 (* x x)) 1/45) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (/ 1/3 x) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (*.f64 #s(literal -1/9 binary64) x))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (fma.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))
#s(approx (+ (/ 1/3 (* x x)) 1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
#s(approx (+ (/ 1/3 (* x x)) 1/45) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (.f64 x x)))
#s(approx (/ 1/3 (* x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
#s(approx (* (* (+ (/ 1/3 (* x x)) 1/45) x) (* x x)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (* (+ (/ 1/3 (* x x)) 1/45) x) (* x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (+ (/ 1/3 (* x x)) 1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
#s(approx (+ (/ 1/3 (* x x)) 1/45) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (.f64 x x)))
#s(approx (/ -1/3 (* x x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64)))
#s(approx (* (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) x) (.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 1/91125 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) (.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (*.f64 x x))) #s(literal 1/91125 binary64))))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (.f64 (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) x) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) #s(literal 1/2025 binary64)) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (+ (* (* x x) 1/45) -1/3) (.f64 (.f64 #s(literal 1/45 binary64) x) x))
#s(approx (+ (* (* x x) 1/45) -1/3) (.f64 (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (* (* (+ (/ 1/3 (* x x)) 1/45) x) (* x x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (* (+ (/ 1/3 (* x x)) 1/45) x) (* x x)) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (* (+ (/ 1/3 (* x x)) 1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (+ (/ 1/3 (* x x)) 1/45) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64)))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64)))
#s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) (.f64 (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x))) x) (.f64 (*.f64 x x) x)))
#s(approx (+ (/ 1/3 (* x x)) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (/ 1/3 (* x x)) 1/45) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
#s(approx (* (* (+ (/ 1/3 (* x x)) 1/45) x) (* x x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
#s(approx (* (* (+ (/ 1/3 (* x x)) 1/45) x) (* x x)) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (+ (/ 1/3 (* x x)) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (/ 1/3 (* x x)) 1/45) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
#s(approx (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2025 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval52.0ms (0.5%)

Memory: -16.6MiB live, 80.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 22 734 to 2 068 computations (90.9% saved)

prune13.0ms (0.1%)

Memory

-23.0MiB live, 24.4MiB allocated; 1ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	484	4	488
Fresh	2	0	2
Picked	4	1	5
Done	0	3	3
Total	490	8	498

Accuracy

100.0%

Counts

498 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(literal 1/9 binary64))))
	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
✓	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 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64))))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
✓	56.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (+ (/ 1/3 (* x x)) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
	56.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (+ (/ 1/3 (* x x)) 1/45) x) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x x))))

Compiler

Compiled 797 to 268 computations (66.4% saved)

regimes9.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB 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 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) #s(approx (+ (* (* (* x x) 1/45) (+ (* (* x x) 1/45) -1/3)) 1/9) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (+ (/ 1/3 (* x x)) 1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (+ (/ 1/3 (* x x)) 1/45) x) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (+ (/ 1/3 (* x x)) 1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (+ (* (* (* x x) (* x x)) 1/2025) -1/9) x) (+ (* (* x x) 1/45) -1/3)) (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (+ ( (* (* (* x x) (* x x)) 1/2025) (* (* x x) 1/45)) 1/27) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 #s(literal 1/2025 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Outputs

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

Calls

2 calls:

5.0ms	x
3.0ms	(-.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)

regimes7.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

4.0ms	x
3.0ms	(-.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

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs

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

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

6.2MiB live, 6.2MiB 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 (*.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/2025) -1/9) #s(literal -1/9 binary64)) x) #s(approx (+ (* (* x x) 1/45) -1/3) #s(literal -1/3 binary64))))

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:

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

Results

Accuracy	Segments	Branch
99.5%	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)

regimes2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

derivations166.0ms (1.6%)

Memory

6.0MiB live, 133.2MiB allocated; 29ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 152 to 48 computations (68.4% saved)

preprocess47.0ms (0.4%)

Memory: 11.0MiB live, 57.5MiB allocated; 7ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 624 to 300 computations (51.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0%)

sample8.5s (82%)

explain645.0ms (6.2%)

preprocess68.0ms (0.7%)

series5.0ms (0%)

rewrite164.0ms (1.6%)

eval7.0ms (0.1%)

prune2.0ms (0%)

series4.0ms (0%)

rewrite78.0ms (0.8%)

eval33.0ms (0.3%)

prune4.0ms (0%)

series19.0ms (0.2%)

rewrite227.0ms (2.2%)

eval93.0ms (0.9%)

prune19.0ms (0.2%)

series15.0ms (0.1%)

rewrite178.0ms (1.7%)

eval52.0ms (0.5%)

prune13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

derivations166.0ms (1.6%)

preprocess47.0ms (0.4%)

end0.0ms (0%)

Profiling