Metrics for invcot (example 3.9)

start0.0ms (0%)

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

analyze6.0ms (0%)

Memory

15.0MiB live, 15.0MiB 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)

sample9.8s (65.5%)

Memory

169.1MiB live, 9 698.2MiB allocated; 2.5s collecting garbage

Samples

7.8s	3 952×	2	valid
1.5s	4 277×	1	valid
2.0ms	27×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.9s

ival-tan: 7.4s (83.6% of total)

ival-div: 456.0ms (5.1% of total)

const: 426.0ms (4.8% of total)

adjust: 375.0ms (4.2% of total)

ival-sub: 137.0ms (1.5% of total)

ival-<: 45.0ms (0.5% of total)

ival-and: 13.0ms (0.1% of total)

exact: 5.0ms (0.1% of total)

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

Bogosity

explain568.0ms (3.8%)

Memory

-4.1MiB live, 516.1MiB allocated; 102ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

427.0ms	268×	2	valid
53.0ms	244×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 458.0ms

ival-tan: 414.0ms (90.3% of total)

ival-div: 19.0ms (4.1% of total)

adjust: 18.0ms (3.9% of total)

ival-sub: 5.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess218.0ms (1.5%)

Memory

14.4MiB live, 198.5MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	17	19
2	30	17
3	58	17
4	151	17
5	968	16
6	6325	16
0	6	8
0	10	8
1	15	8
2	21	8
3	38	8
4	95	8
5	501	8
6	7749	8
0	8001	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.5%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify185.0ms (1.2%)

Memory

5.3MiB live, 95.5MiB allocated; 7ms 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)

localize321.0ms (2.1%)

Memory

20.1MiB live, 259.0MiB allocated; 38ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1 binary64) (tan.f64 x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(tan.f64 x)
accuracy	59.8221601745994	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

266.0ms	134×	2	valid
47.0ms	122×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 302.0ms

ival-tan: 259.0ms (85.7% of total)

ival-div: 30.0ms (9.9% of total)

adjust: 9.0ms (3% of total)

ival-sub: 3.0ms (1% 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

5.6MiB live, 5.6MiB 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))

simplify165.0ms (1.1%)

Memory

11.3MiB live, 191.3MiB allocated; 42ms 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)))

rewrite46.0ms (0.3%)

Memory

-13.5MiB live, 31.1MiB allocated; 11ms 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: 9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 927 to 250 computations (73% saved)

prune2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	3	66

Accuracy

99.5%

Counts

66 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
▶	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	98.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Status

Accuracy

Program

▶

99.5%

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

▶

99.3%

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

▶

98.8%

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

Compiler

Compiled 51 to 35 computations (31.4% saved)

simplify113.0ms (0.8%)

Memory

-3.1MiB live, 86.5MiB allocated; 9ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
cost-diff	0	(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))
cost-diff	0	(.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)
cost-diff	0	#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))
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	19	113
0	29	113
1	53	113
2	149	113
3	538	113
4	1720	113
5	3263	113
0	8162	113

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

localize334.0ms (2.2%)

Memory

-7.4MiB live, 223.2MiB allocated; 43ms collecting garbage

Localize:

Found 10 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 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
accuracy	0.01171875	(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))
accuracy	0.31640625	(.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)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
accuracy	0.09986666409568219	#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	0.32421875	(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
accuracy	0.328125	(*.f64 #s(literal 1/3 binary64) x)
accuracy	0.43268905250813805	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Samples

262.0ms	134×	2	valid
52.0ms	122×	1	valid

Compiler

Compiled 95 to 21 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 291.0ms

ival-tan: 204.0ms (70.2% of total)

adjust: 34.0ms (11.7% of total)

const: 17.0ms (5.9% of total)

ival-mult: 17.0ms (5.9% of total)

ival-div: 10.0ms (3.4% of total)

ival-add: 6.0ms (2.1% of total)

ival-sub: 3.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

10 → 33

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

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

Calls

3 calls:

Time	Variable		Point	Expression
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 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))
2.0ms	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 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))
2.0ms	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 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))

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

2.0ms

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

2.0ms

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

simplify135.0ms (0.9%)

Memory

19.5MiB live, 107.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	630
1	290	630
2	960	629
3	5056	629
0	8235	573

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #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 (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) 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 (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (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)))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(literal 1/45 binary64))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (+ (* 2/945 (* x x)) 1/45) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 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 (* (+ (* (* 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)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64)))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* 2/945 (* x x)) 1/45) (.f64 #s(literal 2/945 binary64) (.f64 x x)))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64))))

rewrite527.0ms (3.5%)

Memory

-44.5MiB live, 32.6MiB allocated; 1.0s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	101
0	29	101
1	125	101
0	950	101

Stop Event

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

Counts

10 → 114

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

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 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64))) x) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x))
(fma.f64 #s(literal 1/3 binary64) x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)))
(fma.f64 x (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x))
(fma.f64 x #s(literal 1/3 binary64) (.f64 x (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 x (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) (.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/3 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) #s(literal 1/3 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64))))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x)) x))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 x x)) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1/2025 binary64) (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/45 binary64) (.f64 #s(literal 2/945 binary64) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2025 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/45 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2025 binary64)) (.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2025 binary64)) (-.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/45 binary64)))
(/.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64)) (+.f64 #s(literal 1/2025 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))
(/.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2025 binary64)) (.f64 (*.f64 x x) #s(literal 2/42525 binary64))))
(fma.f64 (*.f64 #s(literal 2/945 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 #s(literal 2/945 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(fma.f64 x (*.f64 #s(literal 2/945 binary64) x) #s(literal 1/45 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/45 binary64))) (/.f64 #s(literal 1/2025 binary64) (-.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/45 binary64))))
(-.f64 #s(literal 1/45 binary64) (.f64 (neg.f64 (.f64 #s(literal 2/945 binary64) x)) x))
(-.f64 #s(literal 1/45 binary64) (.f64 #s(literal -2/945 binary64) (.f64 x x)))
(-.f64 #s(literal 1/45 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 2/945 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 2/42525 binary64)))) (/.f64 #s(literal 1/91125 binary64) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 2/42525 binary64)))))
(+.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/45 binary64))
(+.f64 #s(literal 1/45 binary64) (.f64 #s(literal 2/945 binary64) (.f64 x x)))

eval19.0ms (0.1%)

Memory: 20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 527 to 676 computations (85.1% saved)

prune51.0ms (0.3%)

Memory

-52.4MiB live, 14.9MiB allocated; 49ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	167	5	172
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	167	8	175

Accuracy

99.9%

Counts

175 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.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)))))
▶	99.4%	#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))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	24.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x))
✓	98.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
▶	18.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
▶	18.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64)))))

Compiler

Compiled 431 to 295 computations (31.6% saved)

simplify128.0ms (0.9%)

Memory

42.0MiB live, 87.7MiB allocated; 8ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x))
cost-diff	0	(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))
cost-diff	0	(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
cost-diff	0	#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
cost-diff	0	(neg.f64 (pow.f64 x #s(literal 5 binary64)))
cost-diff	0	(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64)))
cost-diff	0	#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 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))
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	686
0	95	686
1	157	676
2	424	656
3	1932	656
4	5674	656
0	8100	635

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.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 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 1/91125 binary64)
#s(literal 1/27 binary64)
(-.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))) (/.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))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64)))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x)
(-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64))
(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
#s(literal -1/3 binary64)
(*.f64 x x)
#s(literal 1/45 binary64)
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 2/945 binary64)
(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
#s(literal -1/45 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x))
(.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x)
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 2/945 binary64)
(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
#s(literal -1/45 binary64)
(*.f64 x x)

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.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 1/91125 binary64) (pow.f64 x #s(literal 6 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 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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 x #s(literal 6 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 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x)
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 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 1/91125 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))
#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))) (/.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 #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))) #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 #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))) #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))
#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))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (pow.f64 (neg.f64 x) #s(literal 5 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (pow.f64 (neg.f64 x) #s(literal 5 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 5 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64)))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (neg.f64 x) #s(literal 5 binary64))
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x)
(-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64))
(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
#s(literal -1/3 binary64)
(*.f64 x x)
#s(literal 1/45 binary64)
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64))) (pow.f64 x #s(literal 5 binary64))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal 2/945 binary64)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 2/945 binary64)
(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
#s(literal -1/45 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64))))) x))
(.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x)
(.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64))))) x)
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64))))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal 2/945 binary64)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 2/945 binary64)
(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
#s(literal -1/45 binary64)
(*.f64 x x)

localize564.0ms (3.8%)

Memory

15.8MiB live, 522.7MiB allocated; 84ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.11328125	(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
accuracy	0.31640625	(.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x)
accuracy	47.06480259769202	(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.0078125	(+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))
accuracy	0.09765625	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.11328125	(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
accuracy	50.93133100316988	(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
accuracy	0.0546875	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x) x)
accuracy	0.09765625	(/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x)
accuracy	0.193691259768442	(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
accuracy	50.93133100316988	(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64)))
accuracy	0.11623002930532605	(pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64))
accuracy	0.1328125	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.38671875	(.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x)
accuracy	0.3984375	(/.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)))
accuracy	0.1328125	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.1953125	(.f64 (.f64 x x) #s(literal 1/135 binary64))
accuracy	0.34765625	(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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	0.36328125	(.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)

Samples

366.0ms	134×	2	valid
141.0ms	122×	1	valid

Compiler

Compiled 468 to 56 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 444.0ms

ival-tan: 204.0ms (46% of total)

adjust: 77.0ms (17.4% of total)

const: 46.0ms (10.4% of total)

ival-mult: 38.0ms (8.6% of total)

ival-div: 33.0ms (7.4% of total)

ival-sub: 14.0ms (3.2% of total)

ival-pow: 12.0ms (2.7% of total)

ival-add: 12.0ms (2.7% of total)

ival-pow2: 5.0ms (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)

series32.0ms (0.2%)

Memory

-14.0MiB live, 30.6MiB allocated; 7ms collecting garbage

Counts

29 → 92

Calls

Call 1

Inputs
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 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))
#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)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64)))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x))
(.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x)
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.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 x) #s(literal 1/135 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x) x)
(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))

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

Calls

3 calls:

Time

Variable

Point

Expression

15.0ms

((pow (* x x) 3) (pow (* 1/45 (* x x)) 2) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (+ (pow (* 1/45 (* x x)) 2) 1/9) (- (/ 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 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (neg (pow x 5)) (- (/ (/ (- (/ -1/3 (* x x)) 1/45) x) x) 2/945)) (neg (pow x 5)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (pow x 5)) (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (* (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (pow x 4)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (* x x) 1/135) (* 1/45 (* x x)) (/ -1/3 (* x x)) (/ (- (/ -1/3 (* x x)) 1/45) x) (/ (/ (- (/ -1/3 (* x x)) 1/45) x) x) (/ -1/45 (* x x)) (/ 1/3 (pow x 4)) (+ (/ 1/3 (pow x 4)) 2/945))

8.0ms

-inf

((pow (* x x) 3) (pow (* 1/45 (* x x)) 2) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (+ (pow (* 1/45 (* x x)) 2) 1/9) (- (/ 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 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (neg (pow x 5)) (- (/ (/ (- (/ -1/3 (* x x)) 1/45) x) x) 2/945)) (neg (pow x 5)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (pow x 5)) (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (* (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (pow x 4)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (* x x) 1/135) (* 1/45 (* x x)) (/ -1/3 (* x x)) (/ (- (/ -1/3 (* x x)) 1/45) x) (/ (/ (- (/ -1/3 (* x x)) 1/45) x) x) (/ -1/45 (* x x)) (/ 1/3 (pow x 4)) (+ (/ 1/3 (pow x 4)) 2/945))

7.0ms

inf

((pow (* x x) 3) (pow (* 1/45 (* x x)) 2) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (+ (pow (* 1/45 (* x x)) 2) 1/9) (- (/ 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 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (neg (pow x 5)) (- (/ (/ (- (/ -1/3 (* x x)) 1/45) x) x) 2/945)) (neg (pow x 5)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (pow x 5)) (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (* (- (+ (/ 1/3 (pow x 4)) 2/945) (/ -1/45 (* x x))) (pow x 4)) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (* x x) 1/135) (* 1/45 (* x x)) (/ -1/3 (* x x)) (/ (- (/ -1/3 (* x x)) 1/45) x) (/ (/ (- (/ -1/3 (* x x)) 1/45) x) x) (/ -1/45 (* x x)) (/ 1/3 (pow x 4)) (+ (/ 1/3 (pow x 4)) 2/945))

simplify119.0ms (0.8%)

Memory

7.1MiB live, 97.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	2096
1	570	2027
2	1681	2003
3	6511	2003
0	8273	1859

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 92

Calls

Call 1

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

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

rewrite133.0ms (0.9%)

Memory

-10.2MiB live, 93.2MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	509
0	94	502
1	355	460
0	2806	440

Stop Event

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

Counts

29 → 333

Calls

Call 1

Inputs
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 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))
#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)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64)))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x))
(.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x)
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.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 x) #s(literal 1/135 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x) x)
(/.f64 #s(literal -1/45 binary64) (*.f64 x x))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))

Outputs
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) x) x)
(.f64 (.f64 (.f64 x x) (fabs.f64 x)) (.f64 (*.f64 x x) (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) (.f64 x x)) (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 (.f64 (neg.f64 x) (.f64 x x)) (.f64 (neg.f64 x) (*.f64 x x)))
(.f64 (.f64 (.f64 x x) (neg.f64 x)) (.f64 (*.f64 x x) (neg.f64 x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3 binary64))) (fabs.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x))
(.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(.f64 x (.f64 x (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 x #s(literal 6 binary64))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) (*.f64 #s(literal 1/45 binary64) x)) x)
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (*.f64 x x))
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) (*.f64 x x)) #s(literal 1/45 binary64))
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 #s(literal 1/45 binary64) x)) (*.f64 x x))
(.f64 (neg.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x))) (neg.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(.f64 (fabs.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x))) (fabs.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(*.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 #s(literal 1/45 binary64) x) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 x (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
(.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) (.f64 #s(literal 1/45 binary64) (*.f64 x x)))
(.f64 #s(literal 1/45 binary64) (.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(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 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #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)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x))))) (-.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))))
(/.f64 (+.f64 (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)) (pow.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64)) #s(literal 3 binary64))) (+.f64 (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 #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)) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64))))))
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eval72.0ms (0.5%)

Memory: -5.1MiB live, 83.7MiB allocated; 10ms collecting garbage
Compiler: Compiled 21 560 to 2 321 computations (89.2% saved)

prune15.0ms (0.1%)

Memory

28.5MiB live, 28.5MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	491	7	498
Fresh	0	0	0
Picked	5	0	5
Done	0	3	3
Total	496	10	506

Accuracy

100.0%

Counts

506 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) #s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
	99.5%	#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 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
▶	99.4%	#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))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.3%	#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 1/2025 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)))))
	99.4%	#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 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))))
✓	98.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
▶	31.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #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)))))
▶	18.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 531 to 379 computations (28.6% saved)

simplify118.0ms (0.8%)

Memory

-4.6MiB live, 91.4MiB allocated; 18ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 2/945 binary64) (/.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	(.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
cost-diff	0	#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
cost-diff	0	(.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
cost-diff	0	(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
cost-diff	0	(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#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))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) #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)))))
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 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
cost-diff	0	(.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))))
cost-diff	0	#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)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	521
0	96	521
1	158	511
2	447	495
3	2125	493
4	6026	493
0	8211	483

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

localize694.0ms (4.6%)

Memory

25.2MiB live, 635.4MiB allocated; 116ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))))
accuracy	0.00390625	(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))
accuracy	0.08984375	(/.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy	50.93133100316988	(.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
accuracy	0.12050634768442021	(pow.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0.34765625	(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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	0.36328125	(.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
accuracy	0.43821590965527896	#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))
accuracy	0.0	#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))))
accuracy	0.09986666409568219	#s(approx (- (/ 1 x) (/ 1 (tan x))) #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)))))
accuracy	0.193691259768442	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
accuracy	42.83290161670627	(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.09986666409568219	#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))))
accuracy	0.1328125	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.38671875	(*.f64 #s(literal -1/9 binary64) x)
accuracy	0.3984375	(/.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	0.09986666409568219	#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)))))
accuracy	0.1328125	(.f64 #s(literal 1/45 binary64) (.f64 x x))
accuracy	0.15625	(/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
accuracy	0.2265625	(.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))))

Samples

337.0ms	104×	2	valid
178.0ms	47×	3	valid
118.0ms	105×	1	valid

Compiler

Compiled 356 to 58 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 579.0ms

ival-tan: 227.0ms (39.2% of total)

adjust: 166.0ms (28.7% of total)

const: 58.0ms (10% of total)

ival-mult: 46.0ms (7.9% of total)

ival-div: 28.0ms (4.8% of total)

ival-add: 18.0ms (3.1% of total)

ival-sub: 15.0ms (2.6% of total)

ival-pow: 15.0ms (2.6% of total)

ival-pow2: 5.0ms (0.9% of total)

exact: 1.0ms (0.2% of total)

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

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

series21.0ms (0.1%)

Memory

-21.6MiB live, 22.9MiB allocated; 7ms collecting garbage

Counts

26 → 88

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) (/ x (- (* 1/45 (* x x)) 1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) (/ x (- (* 1/45 (* x x)) 1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (/ (* (- (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 (* (- (/ 1/3 (* x x)) -1/45) (pow x 3)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (pow x 3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (pow (* x x) 3) #s(hole binary64 (pow x 6)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 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 (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) #s(hole binary64 (/ 1/3 (pow x 4))))
#s(approx (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))))
#s(approx (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) #s(hole binary64 (/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))))
#s(approx (* 1/45 (* x x)) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (/ 1/3 (* x x)) #s(hole binary64 (/ 1/3 (pow x 2))))
#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 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4)) #s(hole binary64 (/ -1/3 (pow x 4))))
#s(approx (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4)) #s(hole binary64 (/ (- (* -1/45 (pow x 2)) 1/3) (pow x 4))))
#s(approx (+ (* -1/45 (* x x)) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* -1/45 (* x x)) -1/3) #s(hole binary64 (- (* -1/45 (pow x 2)) 1/3)))
#s(approx (- (/ 1 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 (* (+ (* 1/2025 (pow x 4)) -1/9) (/ x (- (* 1/45 (* x x)) 1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -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 (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ (* (- (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 (* (- (/ 1/3 (* x x)) -1/45) (pow x 3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 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 (/ (* (+ (* (pow (* x x) 3) 1/91125) 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 (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) #s(hole binary64 2/945))
#s(approx (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) #s(hole binary64 (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
#s(approx (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) #s(hole binary64 (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (- (+ (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 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4)) #s(hole binary64 (/ -1/45 (pow x 2))))
#s(approx (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4)) #s(hole binary64 (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (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 (* -1 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))))
#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 (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))

Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/2025 (pow x 4)) -1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (+ (* 1/2025 (pow x 4)) -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) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (/ 1/3 (* x x)) -1/45) (pow x 3)) (- (/ 1/3 (* x x)) -1/45) (pow (* x x) 3) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (/ x (- (* 1/45 (* x x)) 1/3)) (* 1/45 (* x x)) (/ 1/3 (* x x)) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4)) (+ (* -1/45 (* x x)) -1/3))

5.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/2025 (pow x 4)) -1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (+ (* 1/2025 (pow x 4)) -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) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (/ 1/3 (* x x)) -1/45) (pow x 3)) (- (/ 1/3 (* x x)) -1/45) (pow (* x x) 3) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (/ x (- (* 1/45 (* x x)) 1/3)) (* 1/45 (* x x)) (/ 1/3 (* x x)) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4)) (+ (* -1/45 (* x x)) -1/3))

4.0ms

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/2025 (pow x 4)) -1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (+ (* 1/2025 (pow x 4)) -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) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (/ 1/3 (* x x)) -1/45) (pow x 3)) (- (/ 1/3 (* x x)) -1/45) (pow (* x x) 3) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (/ x (- (* 1/45 (* x x)) 1/3)) (* 1/45 (* x x)) (/ 1/3 (* x x)) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4)) (+ (* -1/45 (* x x)) -1/3))

simplify109.0ms (0.7%)

Memory

-11.2MiB live, 88.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1914
1	649	1864
2	2064	1846
0	8182	1706

Stop Event

1×	iter limit
1×	node limit

Counts

88 → 88

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 (* (+ (* 1/2025 (pow x 4)) -1/9) (/ x (- (* 1/45 (* x x)) 1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) (/ x (- (* 1/45 (* x x)) 1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (/ (* (- (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 (* (- (/ 1/3 (* x x)) -1/45) (pow x 3)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (pow x 3)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (pow (* x x) 3) #s(hole binary64 (pow x 6)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) #s(hole binary64 (* 1/3 x)))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 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 (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/27 x)))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* x (+ 1/27 (* 1/91125 (pow x 6))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) #s(hole binary64 (* 1/3 x)))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) #s(hole binary64 (/ 1/3 (pow x 4))))
#s(approx (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))))
#s(approx (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) #s(hole binary64 (/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* -3 x)))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* x (- (* -1/5 (pow x 2)) 3))))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))))
#s(approx (* 1/45 (* x x)) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (/ 1/3 (* x x)) #s(hole binary64 (/ 1/3 (pow x 2))))
#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 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4)) #s(hole binary64 (/ -1/3 (pow x 4))))
#s(approx (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4)) #s(hole binary64 (/ (- (* -1/45 (pow x 2)) 1/3) (pow x 4))))
#s(approx (+ (* -1/45 (* x x)) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* -1/45 (* x x)) -1/3) #s(hole binary64 (- (* -1/45 (pow x 2)) 1/3)))
#s(approx (- (/ 1 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 (* (+ (* 1/2025 (pow x 4)) -1/9) (/ x (- (* 1/45 (* x x)) 1/3))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -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 (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* 1/2025 (pow x 4))))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (/ (* (- (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 (* (- (/ 1/3 (* x x)) -1/45) (pow x 3)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (/ (* (+ (* (pow (* x x) 3) 1/91125) 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 (/ (* (+ (* (pow (* x x) 3) 1/91125) 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 (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* 1/91125 (pow x 7))))
#s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) #s(hole binary64 (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) #s(hole binary64 2/945))
#s(approx (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) #s(hole binary64 (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
#s(approx (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) #s(hole binary64 (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (/ 45 x)))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)))
#s(approx (- (+ (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 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4)) #s(hole binary64 (/ -1/45 (pow x 2))))
#s(approx (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4)) #s(hole binary64 (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (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 (* -1 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))))
#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 (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))

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))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64)) (.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #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 (* (+ (* 1/2025 (pow x 4)) -1/9) (/ x (- (* 1/45 (* x x)) 1/3))) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) (/ x (- (* 1/45 (* x x)) 1/3))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* (+ (* 1/2025 (pow x 4)) -1/9) (/ x (- (* 1/45 (* x x)) 1/3))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (* (+ (* 1/2025 (pow x 4)) -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 (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) #s(hole binary64 (- (* 1/2025 (pow x 4)) 1/9)))
#s(approx (+ (* 1/2025 (pow x 4)) -1/9) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))
#s(approx (pow x 4) #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 (* (+ (* 1/2025 (pow x 4)) -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 (* (+ (* 1/2025 (pow x 4)) -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))
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#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (.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 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4)) #s(hole binary64 (/ -1/45 (pow x 2))))
#s(approx (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))
#s(approx (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4)) #s(hole binary64 (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4)) (/.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))
#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 #s(literal -1/45 binary64) (.f64 x x)))
#s(approx (+ (* -1/45 (* x x)) -1/3) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))))
#s(approx (+ (* -1/45 (* x x)) -1/3) (fma.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) #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 (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))
#s(approx (* (- 2/945 (/ (+ (* -1/45 (* x x)) -1/3) (pow x 4))) (pow x 5)) (.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (/.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 (- (* 1/45 (* x x)) 1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))))
#s(approx (/ x (- (* 1/45 (* x x)) 1/3)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -10125 binary64) (/.f64 #s(literal 151875 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 675 binary64) (.f64 x x)) #s(literal 45 binary64))) (neg.f64 x)))

rewrite104.0ms (0.7%)

Memory

22.7MiB live, 109.9MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	445
0	96	445
1	364	388
0	2836	377

Stop Event

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

Counts

26 → 282

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64))) (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))))
(.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 (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 (*.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 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (/.f64 x (-.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 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (/.f64 x (-.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64))))
(/.f64 (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))
(/.f64 (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (.f64 (-.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 x (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64))) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64)))))
(/.f64 (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 (.f64 (neg.f64 x) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (.f64 (neg.f64 (-.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 (neg.f64 x) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64))) (.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (neg.f64 x)) (.f64 (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)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (neg.f64 x)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) (neg.f64 x)) (.f64 (+.f64 (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18225 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (.f64 (+.f64 (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(neg.f64 (/.f64 (.f64 (neg.f64 x) (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))))
(neg.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 #s(literal -1/9 binary64) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))
(fma.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(literal -1/9 binary64) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))))
(fma.f64 #s(literal -1/9 binary64) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (.f64 #s(literal -1/9 binary64) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
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#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 -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/45 binary64) x) (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 #s(literal -1/45 binary64) x) (/.f64 x (pow.f64 x #s(literal 4 binary64))))) (.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 (.f64 #s(literal -1/45 binary64) x) (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/45 binary64) x) (/.f64 x (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/45 binary64) x) (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 #s(literal -1/45 binary64) x) (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 (.f64 #s(literal -1/45 binary64) x) (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (.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))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (.f64 (-.f64 (.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal -1/45 binary64) x) (.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) (/.f64 (.f64 x x) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -1/45 binary64) x) (/.f64 x (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -1/45 binary64) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(literal -1/45 binary64) x) (/.f64 x (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 (.f64 #s(literal -1/45 binary64) x) (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (-.f64 #s(literal -1/3 binary64) (.f64 #s(literal -1/45 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 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 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 (fma.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 (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 (*.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 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 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 (neg.f64 (.f64 #s(literal -1/45 binary64) x)) x))
(-.f64 #s(literal -1/3 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1/45 binary64)))
(-.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
(+.f64 (/.f64 (.f64 #s(literal -1/91125 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 #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 #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)))

eval53.0ms (0.4%)

Memory: 13.2MiB live, 68.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 15 601 to 1 835 computations (88.2% saved)

prune19.0ms (0.1%)

Memory

-8.1MiB live, 36.5MiB allocated; 6ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	388	5	393
Fresh	1	1	2
Picked	4	1	5
Done	0	3	3
Total	393	10	403

Accuracy

100.0%

Counts

403 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
✓	99.4%	#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))))
	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow (* x x) 3) 1/91125) 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))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
	98.9%	#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 #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 #s(approx (+ ( 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
✓	98.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	45.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))
	18.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 995 to 384 computations (61.4% saved)

regimes15.0ms (0.1%)

Memory

-27.2MiB live, 19.3MiB allocated; 3ms collecting garbage

Counts

21 → 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 (* (+ (* (pow (* x x) 3) 1/91125) 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))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( 1/2025 (pow x 4)) -1/9) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #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))) #s(approx (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 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))) #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)))))
(-.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 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 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 #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)))))
#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))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 2/945 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 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 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) x))
#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 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.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)))))

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

Calls

2 calls:

6.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

5.7MiB live, 5.7MiB 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 (* (+ (* (pow (* x x) 3) 1/91125) 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))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow (* x x) 3) 1/91125) 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))))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
98.8%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify33.0ms (0.2%)

Memory

31.7MiB live, 31.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	79
1	40	79
2	56	79
3	85	79
4	140	79
5	400	79
6	3501	79

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations196.0ms (1.3%)

Memory

-38.5MiB live, 151.5MiB allocated; 23ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 79 to 32 computations (59.5% saved)

preprocess29.0ms (0.2%)

Memory: 41.3MiB live, 41.3MiB allocated; 0ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 278 to 154 computations (44.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze6.0ms (0%)

sample9.8s (65.5%)

explain568.0ms (3.8%)

preprocess218.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify185.0ms (1.2%)

localize321.0ms (2.1%)

series4.0ms (0%)

simplify165.0ms (1.1%)

rewrite46.0ms (0.3%)

eval7.0ms (0%)

prune2.0ms (0%)

simplify113.0ms (0.8%)

localize334.0ms (2.2%)

series7.0ms (0%)

simplify135.0ms (0.9%)

rewrite527.0ms (3.5%)

eval19.0ms (0.1%)

prune51.0ms (0.3%)

simplify128.0ms (0.9%)

localize564.0ms (3.8%)

series32.0ms (0.2%)

simplify119.0ms (0.8%)

rewrite133.0ms (0.9%)

eval72.0ms (0.5%)

prune15.0ms (0.1%)

simplify118.0ms (0.8%)

localize694.0ms (4.6%)

series21.0ms (0.1%)

simplify109.0ms (0.7%)

rewrite104.0ms (0.7%)

eval53.0ms (0.4%)

prune19.0ms (0.1%)

regimes15.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify33.0ms (0.2%)

derivations196.0ms (1.3%)

preprocess29.0ms (0.2%)

end0.0ms (0%)

Profiling