Metrics for invcot (example 3.9)

start0.0ms (0%)

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

analyze5.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample9.5s (68.2%)

Memory

71.0MiB live, 8 928.4MiB allocated; 2.5s collecting garbage

Samples

7.2s	3 892×	2	valid
1.9s	4 336×	1	valid
2.0ms	28×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.6s

ival-tan: 7.6s (88.1% of total)

adjust: 451.0ms (5.2% of total)

ival-div: 450.0ms (5.2% of total)

ival-sub: 114.0ms (1.3% of total)

exact: 8.0ms (0.1% of total)

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

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

const: 0.0ms (0% of total)

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

Bogosity

explain596.0ms (4.3%)

Memory

50.3MiB live, 542.1MiB allocated; 115ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`	cancellation	255	0
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`	nan-rescue	1	0
↳	`(/.f64 #s(literal 1 binary64) x)`	overflow	1
↳	`(/.f64 #s(literal 1 binary64) (tan.f64 x))`	overflow	1

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

429.0ms	244×	2	valid
113.0ms	268×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 515.0ms

ival-tan: 435.0ms (84.4% of total)

adjust: 53.0ms (10.3% of total)

ival-div: 20.0ms (3.9% of total)

ival-sub: 6.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess222.0ms (1.6%)

Memory

-22.7MiB live, 163.0MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify240.0ms (1.7%)

Memory

-3.6MiB live, 144.6MiB allocated; 116ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 x))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	15	19
2	21	19
3	38	19
4	95	19
5	501	19
6	7749	19
0	8001	19

Stop Event

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

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

localize242.0ms (1.7%)

Memory

10.6MiB live, 196.2MiB allocated; 21ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(tan.f64 x)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (tan.f64 x))
accuracy	60.06157104571242	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

178.0ms	122×	2	valid
44.0ms	134×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-tan: 181.0ms (87.4% of total)

ival-div: 13.0ms (6.3% of total)

adjust: 9.0ms (4.3% of total)

ival-sub: 3.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

4 → 17

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)
(/.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 (/ 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
1.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) (/ 1 (tan x)) (tan x))
1.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) (/ 1 (tan x)) (tan x))
1.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) (/ 1 (tan x)) (tan x))

simplify143.0ms (1%)

Memory

22.1MiB live, 117.8MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	268
1	245	268
2	753	262
3	3236	256
4	7824	256
0	8029	238

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

rewrite38.0ms (0.3%)

Memory

-21.9MiB live, 24.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	49	17
0	382	17

Stop Event

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

Counts

4 → 48

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

Outputs
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x))) (.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (tan.f64 x)) (.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))) (.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) x)) (/.f64 x (.f64 (tan.f64 x) x)))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.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)))
(*.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)))
(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 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.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 1 binary64) (neg.f64 (neg.f64 (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 1 binary64) (sin.f64 x)) (cos.f64 x))
(/.f64 (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 (sin.f64 (+.f64 (PI.f64) x)) (cos.f64 (+.f64 (PI.f64) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)

eval7.0ms (0%)

Memory: 8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 927 to 250 computations (73% saved)

prune2.0ms (0%)

Memory

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

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	2	66

Accuracy

99.6%

Counts

66 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify164.0ms (1.2%)

Memory

-4.9MiB live, 139.3MiB allocated; 15ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
0	19	54
1	34	54
2	79	54
3	203	54
4	468	54
5	1047	54
0	8373	54

Stop Event

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

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)
x
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)

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

localize281.0ms (2%)

Memory

29.2MiB live, 257.8MiB allocated; 56ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
accuracy	0.00390625	(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
accuracy	0.27734375	(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
accuracy	0.2347864913419087	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
accuracy	0.27734375	(*.f64 #s(literal 1/3 binary64) x)

Samples

192.0ms	122×	2	valid
77.0ms	134×	1	valid

Compiler

Compiled 45 to 15 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-tan: 175.0ms (71.4% of total)

ival-mult: 26.0ms (10.6% of total)

adjust: 15.0ms (6.1% of total)

ival-div: 13.0ms (5.3% of total)

const: 10.0ms (4.1% of total)

ival-sub: 3.0ms (1.2% of total)

ival-add: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

6 → 16

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(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)

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 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	@	0	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x))
1.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x))
1.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x))

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify200.0ms (1.4%)

Memory

-6.9MiB live, 170.6MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	249
1	176	249
2	612	249
3	3164	249
0	8163	231

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

rewrite47.0ms (0.3%)

Memory

-10.7MiB live, 34.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	19	49
1	82	49
0	599	49

Stop Event

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

Counts

6 → 55

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(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)

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

eval7.0ms (0.1%)

Memory: 10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 469 to 264 computations (82% saved)

prune4.0ms (0%)

Memory

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

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	65	5	70

Accuracy

100.0%

Counts

70 → 5

Alt Table

Click to see full alt table

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

Compiler

Compiled 111 to 76 computations (31.5% saved)

simplify102.0ms (0.7%)

Memory

-17.9MiB live, 79.8MiB allocated; 13ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 1/45 binary64) (.f64 x x))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
cost-diff	2	(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
cost-diff	1	(+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64))
cost-diff	1	(-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64)))
cost-diff	2	(pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64))
cost-diff	2	(pow.f64 (*.f64 x x) #s(literal 3 binary64))
cost-diff	0	(.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x)
cost-diff	0	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
cost-diff	2	(pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	273
0	51	271
1	98	261
2	298	241
3	1506	241
4	4035	241
5	7143	241
0	8077	232

Stop Event

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

Calls

Call 1

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

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

localize382.0ms (2.7%)

Memory

37.5MiB live, 311.4MiB allocated; 30ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
accuracy	0.00390625	(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
accuracy	0.171875	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.27734375	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0.1640625	(.f64 (.f64 x x) #s(literal 1/135 binary64))
accuracy	0.171875	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.30859375	(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) x)
accuracy	0.41634750976844204	(/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64))))
accuracy	0.09765625	(pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64))
accuracy	0.171875	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.32421875	(.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x)
accuracy	0.390625	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))

Samples

246.0ms	122×	2	valid
108.0ms	134×	1	valid

Compiler

Compiled 221 to 34 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 320.0ms

ival-tan: 173.0ms (54.1% of total)

adjust: 46.0ms (14.4% of total)

const: 31.0ms (9.7% of total)

ival-mult: 24.0ms (7.5% of total)

ival-div: 20.0ms (6.3% of total)

ival-sub: 10.0ms (3.1% of total)

ival-add: 7.0ms (2.2% of total)

ival-pow: 5.0ms (1.6% of total)

ival-pow2: 5.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Counts

15 → 43

Calls

Call 1

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

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

inf

((pow (* 1/45 (* x x)) 2) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (pow (* x x) 3) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (+ (pow (* 1/45 (* x x)) 2) 1/9) (+ (* (* 1/45 (* x x)) x) (* 1/3 x)) (- (/ 1 x) (/ 1 (tan x))) (* 1/45 (* x x)) (* x x) (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (* (* x x) 1/135) (* 1/3 x))

5.0ms

-inf

((pow (* 1/45 (* x x)) 2) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (pow (* x x) 3) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (+ (pow (* 1/45 (* x x)) 2) 1/9) (+ (* (* 1/45 (* x x)) x) (* 1/3 x)) (- (/ 1 x) (/ 1 (tan x))) (* 1/45 (* x x)) (* x x) (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (* (* x x) 1/135) (* 1/3 x))

4.0ms

((pow (* 1/45 (* x x)) 2) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (pow (* x x) 3) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (+ (pow (* 1/45 (* x x)) 2) 1/9) (+ (* (* 1/45 (* x x)) x) (* 1/3 x)) (- (/ 1 x) (/ 1 (tan x))) (* 1/45 (* x x)) (* x x) (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (* (* x x) 1/135) (* 1/3 x))

simplify186.0ms (1.3%)

Memory

2.7MiB live, 143.2MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	876
1	379	810
2	1137	806
3	4282	806
0	8325	741

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 43

Calls

Call 1

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

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

rewrite73.0ms (0.5%)

Memory

-27.3MiB live, 63.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	175
0	50	186
1	216	124
0	1703	116

Stop Event

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

Counts

15 → 335

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/45 binary64))) x)
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x)) #s(literal 1/45 binary64))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/45 binary64)) (*.f64 x x))
(.f64 (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x #s(literal 1/45 binary64))) (*.f64 x x))
(.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64))) (neg.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(.f64 (fabs.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64))) (fabs.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(*.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64)))) (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64)))))
(.f64 (pow.f64 (.f64 x #s(literal 1/45 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (.f64 x #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (.f64 (*.f64 x x) #s(literal 1/45 binary64)))
(.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 2 binary64))
(+.f64 (cosh.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 2 binary64))) (sinh.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 2 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (.f64 #s(literal 1/135 binary64) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))
(.f64 (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (+.f64 (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))) (-.f64 (*.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/756680642578125 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (pow.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 x x)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (.f64 #s(literal -1/3 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) x) (.f64 (+.f64 (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) x) (.f64 (-.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64)) (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/756680642578125 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/19683 binary64)) x) (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (.f64 #s(literal -1/3 binary64) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
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(/.f64 (.f64 x (fma.f64 #s(literal 1/756680642578125 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/19683 binary64))) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (-.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) x) (-.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/756680642578125 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/19683 binary64)) x) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) x (.f64 #s(literal 1/27 binary64) x))
(fma.f64 #s(literal 1/27 binary64) x (.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) x))
(fma.f64 x (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x #s(literal 1/27 binary64)))
(fma.f64 x #s(literal 1/27 binary64) (.f64 x (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) x) (*.f64 #s(literal 1/27 binary64) x))
(+.f64 (.f64 #s(literal 1/27 binary64) x) (.f64 (*.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) x))
(+.f64 (.f64 x (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x #s(literal 1/27 binary64)))
(+.f64 (.f64 x #s(literal 1/27 binary64)) (.f64 x (*.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)))))
(.f64 (.f64 #s(literal 1/135 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/135 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/135 binary64) x) x)
(.f64 (.f64 x #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/135 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/135 binary64)))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
(.f64 x (.f64 #s(literal 1/135 binary64) x))
(.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))

eval51.0ms (0.4%)

Memory: 15.2MiB live, 66.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 14 145 to 1 698 computations (88% saved)

prune14.0ms (0.1%)

Memory

-20.0MiB live, 26.6MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	402	6	408
Fresh	0	0	0
Picked	2	1	3
Done	0	2	2
Total	404	9	413

Accuracy

100.0%

Counts

413 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
▶	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) x) #s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) x) (.f64 (-.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64)) (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (.f64 #s(literal -1/9 binary64) x)) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
▶	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
✓	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))))
✓	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 446 to 326 computations (26.9% saved)

simplify88.0ms (0.6%)

Memory

34.4MiB live, 79.9MiB allocated; 3ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64))
cost-diff	0	(.f64 (-.f64 (pow.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x)
cost-diff	0	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
cost-diff	0	(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))))
cost-diff	1	(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) x)
cost-diff	0	(/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) x) #s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64)))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) x) #s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
cost-diff	2	(pow.f64 (*.f64 x x) #s(literal 3 binary64))
cost-diff	0	(*.f64 #s(literal -1/9 binary64) x)
cost-diff	0	#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (*.f64 #s(literal -1/9 binary64) x))
cost-diff	0	(/.f64 #s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (.f64 #s(literal -1/9 binary64) x)) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (.f64 #s(literal -1/9 binary64) x)) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
cost-diff	0	(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	527
0	95	531
1	160	517
2	412	502
3	1784	502
4	4724	499
0	8252	492

Stop Event

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

Calls

Call 1

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

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

localize663.0ms (4.7%)

Memory

-31.0MiB live, 630.0MiB allocated; 152ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08335878907376806	(pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64))
accuracy	0.171875	(.f64 (.f64 x x) #s(literal 1/45 binary64))
accuracy	0.34375	(.f64 (-.f64 (pow.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x)
accuracy	0.48001629109026733	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
accuracy	0.00390625	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0078125	(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))
accuracy	0.296875	(/.f64 x (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))
accuracy	0.30859375	(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))))
accuracy	0.11394501953688403	(pow.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0.24117227450154036	#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))
accuracy	0.30859375	(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) x)
accuracy	0.41634750976844204	(/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) x) #s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64)))
accuracy	0.0078125	(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
accuracy	0.171875	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.32421875	(*.f64 #s(literal -1/9 binary64) x)
accuracy	0.390625	(/.f64 #s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (.f64 #s(literal -1/9 binary64) x)) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
accuracy	0.0078125	(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
accuracy	0.171875	(.f64 (.f64 x x) #s(literal 1/45 binary64))
accuracy	0.17578125	(/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
accuracy	0.21484375	(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))

Samples

318.0ms	114×	2	valid
162.0ms	45×	3	valid
108.0ms	97×	1	valid

Compiler

Compiled 415 to 58 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 528.0ms

ival-tan: 186.0ms (35.3% of total)

adjust: 92.0ms (17.4% of total)

ival-mult: 92.0ms (17.4% of total)

const: 50.0ms (9.5% of total)

ival-div: 30.0ms (5.7% of total)

ival-pow: 30.0ms (5.7% of total)

ival-sub: 24.0ms (4.5% of total)

ival-add: 14.0ms (2.7% of total)

ival-pow2: 6.0ms (1.1% of total)

exact: 1.0ms (0.2% of total)

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

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

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

series21.0ms (0.2%)

Memory

31.1MiB live, 31.1MiB allocated; 0ms collecting garbage

Counts

28 → 98

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (* -1/9 x) #s(hole binary64 (* -1/9 x)))
#s(approx (pow (* x x) 3) #s(hole binary64 (pow x 6)))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 1/9))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) #s(hole binary64 (* -1/81 x)))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) #s(hole binary64 (* x (- (* 1/4100625 (pow x 8)) 1/81))))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) #s(hole binary64 -1/81))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) #s(hole binary64 (- (* 1/4100625 (pow x 8)) 1/81)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (- (* (* x x) 1/45) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* (* x x) 1/45) 1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* 1/45 (* x x)) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (- (* 1/45 (* x x)) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* 1/45 (* x x)) 1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 1/9))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* 9 x)))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* x (+ 9 (* 3/5 (pow x 2))))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))))
#s(approx (pow (* (* x x) 1/45) 4) #s(hole binary64 (* 1/4100625 (pow x 8))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) #s(hole binary64 (* 1/4100625 (pow x 9))))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) #s(hole binary64 (* (pow x 9) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) #s(hole binary64 (* 1/4100625 (pow x 8))))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) #s(hole binary64 (* (pow x 8) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (- (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (- (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/45 (* x x)) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (- (* 1/45 (* x x)) 1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (/ 2025 (pow x 3))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/81 (/ 1 (pow x 8))) 1/4100625)))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (* -1/9 x) (pow (* x x) 3) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) (+ (* 1/91125 (pow x 6)) 1/27) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (- (pow (* (* x x) 1/45) 4) 1/81) (/ x (- (* (* x x) 1/45) 1/3)) (* (* x x) 1/45) (- (* (* x x) 1/45) 1/3) (* 1/45 (* x x)) (- (* 1/45 (* x x)) 1/3) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (pow (* (* x x) 1/45) 4))

6.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (* -1/9 x) (pow (* x x) 3) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) (+ (* 1/91125 (pow x 6)) 1/27) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (- (pow (* (* x x) 1/45) 4) 1/81) (/ x (- (* (* x x) 1/45) 1/3)) (* (* x x) 1/45) (- (* (* x x) 1/45) 1/3) (* 1/45 (* x x)) (- (* 1/45 (* x x)) 1/3) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (pow (* (* x x) 1/45) 4))

5.0ms

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) (+ (* (pow x 4) 1/2025) -1/9) (pow x 4) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (* -1/9 x) (pow (* x x) 3) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) (+ (* 1/91125 (pow x 6)) 1/27) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (- (pow (* (* x x) 1/45) 4) 1/81) (/ x (- (* (* x x) 1/45) 1/3)) (* (* x x) 1/45) (- (* (* x x) 1/45) 1/3) (* 1/45 (* x x)) (- (* 1/45 (* x x)) 1/3) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (pow (* (* x x) 1/45) 4))

simplify149.0ms (1.1%)

Memory

-0.6MiB live, 130.6MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	2196
1	788	2122
2	2474	2119
0	8560	1961

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 98

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (* -1/9 x) #s(hole binary64 (* -1/9 x)))
#s(approx (pow (* x x) 3) #s(hole binary64 (pow x 6)))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 1/9))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) #s(hole binary64 (* -1/81 x)))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) #s(hole binary64 (* x (- (* 1/4100625 (pow x 8)) 1/81))))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) #s(hole binary64 -1/81))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) #s(hole binary64 (- (* 1/4100625 (pow x 8)) 1/81)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (- (* (* x x) 1/45) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* (* x x) 1/45) 1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (* 1/45 (* x x)) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (- (* 1/45 (* x x)) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* 1/45 (* x x)) 1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 1/9))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* 9 x)))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* x (+ 9 (* 3/5 (pow x 2))))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))))
#s(approx (pow (* (* x x) 1/45) 4) #s(hole binary64 (* 1/4100625 (pow x 8))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) #s(hole binary64 (* 1/4100625 (pow x 9))))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) #s(hole binary64 (* (pow x 9) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) #s(hole binary64 (* 1/4100625 (pow x 8))))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) #s(hole binary64 (* (pow x 8) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (- (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (- (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/45 (* x x)) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (- (* 1/45 (* x x)) 1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (/ 2025 (pow x 3))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/81 (/ 1 (pow x 8))) 1/4100625)))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) 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))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#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))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(literal -1/9 binary64))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) #s(hole binary64 (* -1/9 x)))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (*.f64 #s(literal -1/9 binary64) x))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) #s(hole binary64 (* x (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x))
#s(approx (* -1/9 x) #s(hole binary64 (* -1/9 x)))
#s(approx (* -1/9 x) (*.f64 #s(literal -1/9 binary64) x))
#s(approx (pow (* x x) 3) #s(hole binary64 (pow x 6)))
#s(approx (pow (* x x) 3) (pow.f64 x #s(literal 6 binary64)))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (*.f64 #s(literal 1/27 binary64) x))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (*.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 1/9))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(literal 1/9 binary64))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
#s(approx (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(literal 1/27 binary64))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(hole binary64 (+ 1/27 (* 1/91125 (pow x 6)))))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) #s(hole binary64 (* -1/81 x)))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (*.f64 #s(literal -1/81 binary64) x))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) #s(hole binary64 (* x (- (* 1/4100625 (pow x 8)) 1/81))))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) #s(hole binary64 -1/81))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) #s(literal -1/81 binary64))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) #s(hole binary64 (- (* 1/4100625 (pow x 8)) 1/81)))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) (*.f64 #s(literal -3 binary64) x))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) (.f64 (-.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/75 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) x) x) #s(literal 3 binary64)) x))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/1125 binary64) (.f64 x x)) #s(literal 1/75 binary64)) x) x) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 3 binary64)) x))
#s(approx (* (* x x) 1/45) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* x x) 1/45) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#s(approx (- (* (* x x) 1/45) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* 1/45 (* x x)) 1/3) #s(literal -1/3 binary64))
#s(approx (- (* (* x x) 1/45) 1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (- (* 1/45 (* x x)) 1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
#s(approx (* 1/45 (* x x)) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* x x) 1/45) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#s(approx (- (* 1/45 (* x x)) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* 1/45 (* x x)) 1/3) #s(literal -1/3 binary64))
#s(approx (- (* 1/45 (* x x)) 1/3) #s(hole binary64 (- (* 1/45 (pow x 2)) 1/3)))
#s(approx (- (* 1/45 (* x x)) 1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 1/9))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(literal 1/9 binary64))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 (+ 1/9 (* -1/135 (pow x 2)))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* 9 x)))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (*.f64 #s(literal 9 binary64) x))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* x (+ 9 (* 3/5 (pow x 2))))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (.f64 (fma.f64 #s(literal 3/5 binary64) (.f64 x x) #s(literal 9 binary64)) x))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (.f64 (fma.f64 (fma.f64 #s(literal -1/375 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 3/5 binary64)) (.f64 x x) #s(literal 9 binary64)) x))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5625 binary64) (.f64 x x)) #s(literal 1/375 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 3/5 binary64)) (.f64 x x) #s(literal 9 binary64)) x))
#s(approx (pow (* (* x x) 1/45) 4) #s(hole binary64 (* 1/4100625 (pow x 8))))
#s(approx (pow (* (* x x) 1/45) 4) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (pow x 4) 1/2025) -1/9) (*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) #s(hole binary64 (* 1/2025 (pow x 5))))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64)))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) #s(hole binary64 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64)))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/91125 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2025 binary64)) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(hole binary64 (* 1/91125 (pow x 6))))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) (*.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) #s(hole binary64 (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (+ (* 1/91125 (pow x 6)) 1/27) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) #s(hole binary64 (* 1/4100625 (pow x 9))))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/4100625 binary64)))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) #s(hole binary64 (* (pow x 9) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (*.f64 (-.f64 #s(literal 1/4100625 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 9 binary64))))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) #s(hole binary64 (* 1/4100625 (pow x 8))))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64)))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) #s(hole binary64 (* (pow x 8) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))))
#s(approx (- (pow (* (* x x) 1/45) 4) 1/81) (*.f64 (-.f64 #s(literal 1/4100625 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) (/.f64 #s(literal 45 binary64) x))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) (/.f64 (+.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) x))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 45 binary64)) (/.f64 #s(literal -675 binary64) (*.f64 x x))) x))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151875 binary64) (.f64 x x)) #s(literal -10125 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -675 binary64) (.f64 x x)) #s(literal 45 binary64))) x))
#s(approx (- (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (- (* 1/45 (* x x)) 1/3) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#s(approx (- (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/45 (* x x)) 1/3) (.f64 (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x))
#s(approx (- (* 1/45 (* x x)) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (- (* 1/45 (* x x)) 1/3) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
#s(approx (- (* 1/45 (* x x)) 1/3) #s(hole binary64 (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/45 (* x x)) 1/3) (.f64 (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(hole binary64 (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2025 binary64)) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (/ 2025 (pow x 3))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (/.f64 #s(literal 2025 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (/.f64 (+.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal 2025 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal 2025 binary64)) (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -102515625 binary64) (.f64 x x)) #s(literal 6834375 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal -30375 binary64) (.f64 x x)) #s(literal 2025 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))))
#s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/81 (/ 1 (pow x 8))) 1/4100625)))))
#s(approx (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/4100625 binary64))) (pow.f64 x #s(literal 9 binary64))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -10125 binary64) (*.f64 x x)) #s(literal 675 binary64)) x) x) #s(literal 45 binary64)) (neg.f64 x)))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))
#s(approx (/ x (- (* (* x x) 1/45) 1/3)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -151875 binary64) (.f64 x x)) #s(literal 10125 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 675 binary64) (.f64 x x)) #s(literal 45 binary64))) (neg.f64 x)))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2025 binary64)) (/.f64 #s(literal 30375 binary64) (*.f64 x x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) #s(hole binary64 (* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -102515625 binary64) (pow.f64 x #s(literal 8 binary64)))) (+.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal 2025 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))

rewrite126.0ms (0.9%)

Memory

-4.7MiB live, 98.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	424
0	95	396
1	371	348
0	2658	344

Stop Event

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

Counts

28 → 431

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)))
(.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (/.f64 x (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))))
(.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)))
(.f64 x (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 1/6561 binary64)) (/.f64 x (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1/81 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 12 binary64)) #s(literal 1/531441 binary64)) (/.f64 x (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))))) (+.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/332150625 binary64) #s(literal 1/6561 binary64)) (pow.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (neg.f64 x)) (neg.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(/.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x)) (neg.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (neg.f64 x))) (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 1/6561 binary64)) x) (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 12 binary64)) #s(literal 1/531441 binary64)) x) (.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/332150625 binary64) #s(literal 1/6561 binary64)) (pow.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64))))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (neg.f64 x)) (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) x) (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64)))) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (neg.f64 x)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) x) (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))))
(neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (neg.f64 x)) (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))))))
(fma.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (.f64 #s(literal -1/9 binary64) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))
(fma.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) #s(literal -1/9 binary64) (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal -1/9 binary64) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))) (.f64 #s(literal -1/9 binary64) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))) (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
(+.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))
(+.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) #s(literal -1/9 binary64)) (.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)))
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 #s(literal -1/9 binary64) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (neg.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (neg.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64))) (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
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(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
(.f64 (.f64 #s(literal 1/45 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/45 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/45 binary64) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/45 binary64))
(.f64 (.f64 #s(literal 1/45 binary64) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/45 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/45 binary64)))
(.f64 #s(literal 1/45 binary64) (pow.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(.f64 x (.f64 #s(literal 1/45 binary64) x))
(pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1 binary64))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/135 binary64) (.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/135 binary64) (*.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal 1/45 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/45 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/45 binary64) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/45 binary64))
(.f64 (.f64 #s(literal 1/45 binary64) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/45 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/45 binary64)))
(.f64 #s(literal 1/45 binary64) (pow.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(.f64 x (.f64 #s(literal 1/45 binary64) x))
(pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1 binary64))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/135 binary64) (.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/135 binary64) (*.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))
(.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 x (fma.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)) #s(literal 1/2460375 binary64) (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))))
(/.f64 x (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))))
(.f64 (.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64))
(.f64 (.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (neg.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fabs.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64))
(.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))
(.f64 #s(literal 1/2025 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/2025 binary64) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 1/45 binary64) x) #s(literal 4 binary64)))
(pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64)))) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 4 binary64))
(+.f64 (cosh.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 4 binary64))) (sinh.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 4 binary64)))

eval88.0ms (0.6%)

Memory: 12.4MiB live, 101.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 20 069 to 2 338 computations (88.4% saved)

prune21.0ms (0.1%)

Memory

-15.3MiB live, 39.4MiB allocated; 9ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	526	5	531
Fresh	1	0	1
Picked	4	1	5
Done	0	3	3
Total	531	9	540

Accuracy

100.0%

Counts

540 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( (* x x) 1/45) 4) 1/81) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
✓	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (.f64 #s(literal -1/9 binary64) x)) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (.f64 #s(literal 1/27 binary64) x)) #s(approx (- (+ (pow ( 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
✓	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
	99.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (*.f64 #s(literal 9 binary64) x))))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (/.f64 x (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))))))
	99.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (pow x 4) 1/2025) -1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
✓	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 746 to 333 computations (55.4% saved)

regimes9.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* 1/91125 (pow (* x x) 3)) 1/27) x) (.f64 #s(literal 1/27 binary64) x)) #s(approx (- (+ (pow ( 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (pow x 4) 1/2025) -1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (.f64 #s(literal -1/9 binary64) x)) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(approx (/ x (+ ( (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (*.f64 #s(literal 9 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) x) #s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( (* x x) 1/45) 4) 1/81) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (/.f64 x (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) x) (.f64 (-.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64)) (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))))

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

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

-40.7MiB live, 5.5MiB allocated; 4ms 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:

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

Results

Accuracy	Segments	Branch
99.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.2%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify32.0ms (0.2%)

Memory

42.7MiB live, 42.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	57
1	35	57
2	51	57
3	80	57
4	135	57
5	395	57
6	3544	57

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

derivations129.0ms (0.9%)

Memory

-39.2MiB live, 52.7MiB allocated; 8ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 57 to 27 computations (52.6% saved)

preprocess91.0ms (0.6%)

Memory: -23.0MiB live, 47.5MiB allocated; 118ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 234 to 144 computations (38.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze5.0ms (0%)

sample9.5s (68.2%)

explain596.0ms (4.3%)

preprocess222.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify240.0ms (1.7%)

localize242.0ms (1.7%)

series4.0ms (0%)

simplify143.0ms (1%)

rewrite38.0ms (0.3%)

eval7.0ms (0%)

prune2.0ms (0%)

simplify164.0ms (1.2%)

localize281.0ms (2%)

series5.0ms (0%)

simplify200.0ms (1.4%)

rewrite47.0ms (0.3%)

eval7.0ms (0.1%)

prune4.0ms (0%)

simplify102.0ms (0.7%)

localize382.0ms (2.7%)

series15.0ms (0.1%)

simplify186.0ms (1.3%)

rewrite73.0ms (0.5%)

eval51.0ms (0.4%)

prune14.0ms (0.1%)

simplify88.0ms (0.6%)

localize663.0ms (4.7%)

series21.0ms (0.2%)

simplify149.0ms (1.1%)

rewrite126.0ms (0.9%)

eval88.0ms (0.6%)

prune21.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

simplify32.0ms (0.2%)

derivations129.0ms (0.9%)

preprocess91.0ms (0.6%)

end0.0ms (0%)

Profiling