Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample2.3s (26.7%)

Memory

28.9MiB live, 1 563.9MiB allocated

Samples

787.0ms	2 227×	2	valid
528.0ms	4 276×	0	valid
288.0ms	1 210×	1	valid
229.0ms	543×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-cos: 1.2s (74.5% of total)

ival-div: 125.0ms (8% of total)

ival-sub: 105.0ms (6.7% of total)

adjust: 98.0ms (6.3% of total)

ival-mult: 55.0ms (3.5% of total)

ival-true: 6.0ms (0.4% of total)

exact: 5.0ms (0.3% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain188.0ms (2.2%)

Memory

-30.1MiB live, 250.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
82	0	-	0	-	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
70	2	(-7.514824477555389e+264)	1	(-8.178359910940753e+197)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	80	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	80
↳	`(*.f64 x x)`	underflow	80
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	71	7
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	2	0
↳	`(*.f64 x x)`	overflow	63

Confusion

	Predicted +	Predicted -
+	150	0
-	3	103

Precision

0.9803921568627451

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	150	0	0
-	3	7	96

Precision?

0.9375

Recall?

1.0

Freqs

test

number	freq
0	103
1	153

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

56.0ms	178×	2	valid
46.0ms	46×	3	valid
27.0ms	222×	0	valid
8.0ms	66×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-cos: 86.0ms (79% of total)

adjust: 7.0ms (6.4% of total)

ival-div: 6.0ms (5.5% of total)

ival-sub: 6.0ms (5.5% of total)

ival-mult: 4.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess53.0ms (0.6%)

Memory

20.6MiB live, 95.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	32	17
2	102	16
3	299	16
4	757	16
5	1185	16
6	1294	16
7	1310	16
0	6	8
0	10	8
1	19	8
2	30	8
3	46	8
4	82	8
5	131	8
6	188	8
7	323	8
8	621	8
9	1027	8
10	1138	8
0	1138	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify27.0ms (0.3%)

Memory

-11.5MiB live, 36.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	-384	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	19	19
2	30	19
3	46	19
4	82	19
5	131	19
6	188	19
7	323	19
8	621	19
9	1027	19
10	1138	19
0	1138	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (0.7%)

Memory

4.8MiB live, 118.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(cos.f64 x)
accuracy	15.215031877675713	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	19.628349572986934	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Samples

30.0ms	89×	2	valid
9.0ms	111×	0	valid
8.0ms	23×	3	valid
4.0ms	33×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-cos: 25.0ms (67% of total)

adjust: 4.0ms (10.7% of total)

ival-div: 3.0ms (8% of total)

ival-sub: 3.0ms (8% of total)

ival-mult: 2.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)))
1.0ms	x	@	-inf	((- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)))
1.0ms	x	@	inf	((- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)))

simplify246.0ms (2.8%)

Memory

-21.6MiB live, 222.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	284
1	105	284
2	258	284
3	609	284
4	1290	284
5	1996	284
6	2309	284
7	3163	284
8	4640	284
9	6288	284
10	7165	284
11	7380	284
12	7398	284
13	7400	284
14	7806	284
0	8015	266

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))

Outputs
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

rewrite161.0ms (1.9%)

Memory

27.2MiB live, 255.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	40	17
2	268	17
3	2810	17
0	9656	17

Stop Event

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

Counts

4 → 629

Calls

Call 1

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

Outputs
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eval70.0ms (0.8%)

Memory: 11.6MiB live, 134.1MiB allocated
Compiler: Compiled 13 903 to 1 656 computations (88.1% saved)

prune28.0ms (0.3%)

Memory

-18.7MiB live, 66.7MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	658	19	677
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	658	20	678

Accuracy

100.0%

Counts

678 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.9%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))))
	19.2%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	44.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	44.8%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	12.4%	(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) x))
▶	43.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
	43.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
✓	43.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	26.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	68.3%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
	44.6%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	43.6%	(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)))
	8.8%	(-.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
▶	11.4%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
	44.9%	(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
▶	68.8%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	57.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
	57.8%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
	57.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
▶	58.5%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 508 to 306 computations (39.8% saved)

simplify102.0ms (1.2%)

Memory

8.9MiB live, 82.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	640	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
cost-diff	1024	(.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
cost-diff	6400	(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
cost-diff	6720	(/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))
cost-diff	0	(cos.f64 x)
cost-diff	0	(/.f64 (cos.f64 x) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
cost-diff	1024	(*.f64 x (/.f64 (cos.f64 x) x))
cost-diff	0	(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(sin.f64 x)
cost-diff	384	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	224
0	58	218
1	119	210
2	343	180
3	1513	174
4	2713	174
5	4356	174
6	6343	174
0	8031	174

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (*.f64 x x))
(sin.f64 x)
x
(*.f64 x x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
#s(literal 1 binary64)
(*.f64 x (/.f64 (cos.f64 x) x))
x
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 x x)
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
(neg.f64 x)
x
(.f64 (.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) x)
(/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))
(.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)

Outputs
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(sin.f64 x)
x
(*.f64 x x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(*.f64 x (/.f64 (cos.f64 x) x))
(cos.f64 x)
x
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 x x)
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 x)
x
(.f64 (.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(*.f64 (neg.f64 x) x)
(/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (cos.f64 x) (*.f64 x x))
(.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(*.f64 (neg.f64 x) (cos.f64 x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)

localize268.0ms (3.1%)

Memory

-20.2MiB live, 295.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	10.673158355738646	(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
accuracy	10.685246445498628	(/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))
accuracy	33.651776285222134	(.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
accuracy	35.332872635907	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
accuracy	0.09765625	(/.f64 (cos.f64 x) x)
accuracy	0.20703125	(*.f64 x (/.f64 (cos.f64 x) x))
accuracy	15.215031877675713	(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
accuracy	19.628349572986934	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
accuracy	0.0234375	(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
accuracy	0.0390625	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	0.06640625	(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
accuracy	27.1886918667116	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
accuracy	26.577500635994525	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy	0	(sin.f64 x)
accuracy	0.00390625	(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy	0.10546875	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
accuracy	19.2116340290642	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

122.0ms	89×	2	valid
49.0ms	23×	3	valid
46.0ms	111×	0	valid
16.0ms	33×	1	valid

Compiler

Compiled 213 to 35 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

adjust: 53.0ms (25.9% of total)

ival-cos: 43.0ms (21% of total)

ival-sub: 26.0ms (12.7% of total)

ival-div: 23.0ms (11.2% of total)

ival-mult: 20.0ms (9.8% of total)

const: 15.0ms (7.3% of total)

ival-sin: 9.0ms (4.4% of total)

ival-tan: 8.0ms (3.9% of total)

ival-add: 5.0ms (2.4% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series17.0ms (0.2%)

Memory

30.2MiB live, 30.2MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 (cos x)) ( x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (patch (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 (cos.f64 x) x)) (patch (.f64 x (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (patch (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))) (patch (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 x) (.f64 x x)) (patch (/.f64 (sin.f64 x) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 (cos x)) ( x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 (cos x)) ( x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 (cos x)) ( x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 (cos x)) ( x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 (cos x)) ( x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 (cos x)) ( x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 (cos x)) ( x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 (cos x)) ( x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/40320 (pow x 6)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/40320 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/40320 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (patch (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (patch (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (patch (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (patch (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (.f64 x (/.f64 (cos.f64 x) x)) (patch (.f64 x (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (.f64 x (/.f64 (cos.f64 x) x)) (patch (.f64 x (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (.f64 x (/.f64 (cos.f64 x) x)) (patch (.f64 x (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (.f64 x (/.f64 (cos.f64 x) x)) (patch (.f64 x (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (cos x))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (patch (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (cos x))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (patch (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (cos x))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (patch (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (cos x))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (patch (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))) (patch (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))) (patch (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))) (patch (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))) (patch (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (.f64 x x)) (patch (/.f64 (sin.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (.f64 x x)) (patch (/.f64 (sin.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (.f64 x x)) (patch (/.f64 (sin.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (.f64 x x)) (patch (/.f64 (sin.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (* x (/ (cos x) x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (cos x) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/ (neg x) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (/ (sin x) (* x x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)))
3.0ms	x	@	-inf	((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (* x (/ (cos x) x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (cos x) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/ (neg x) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (/ (sin x) (* x x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)))
2.0ms	x	@	0	((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (* x (/ (cos x) x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (cos x) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/ (neg x) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (/ (sin x) (* x x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)))

Time

Variable

Point

Expression

5.0ms

inf

((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (* x (/ (cos x) x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (cos x) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/ (neg x) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (/ (sin x) (* x x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)))

3.0ms

-inf

((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (* x (/ (cos x) x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (cos x) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/ (neg x) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (/ (sin x) (* x x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)))

2.0ms

((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) (* x (/ (cos x) x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (cos x) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/ (neg x) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (/ (sin x) (* x x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)))

simplify182.0ms (2.1%)

Memory

-18.1MiB live, 133.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	1773
1	318	1773
2	783	1761
3	2348	1761
4	4556	1761
5	6783	1753
0	8161	1640

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 227

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
1/720
(+ 1/720 (* -1/40320 (pow x 2)))
(+ 1/720 (* -1/40320 (pow x 2)))
(+ 1/720 (* -1/40320 (pow x 2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(/ 1 (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* -1 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(sin x)
(sin x)
(sin x)
(sin x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 2))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(cos x)
(cos x)
(cos x)
(cos x)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(cos x)
(cos x)
(cos x)
(cos x)
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(sin x)
(sin x)
(sin x)
(sin x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 2))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(cos x)
(cos x)
(cos x)
(cos x)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(cos x)
(cos x)
(cos x)
(cos x)
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
1/720
#s(literal 1/720 binary64)
(+ 1/720 (* -1/40320 (pow x 2)))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
(+ 1/720 (* -1/40320 (pow x 2)))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
(+ 1/720 (* -1/40320 (pow x 2)))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
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(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(* -1 (* x (cos x)))
(*.f64 (cos.f64 x) (neg.f64 x))
(* -1 (* x (cos x)))
(*.f64 (cos.f64 x) (neg.f64 x))
(* -1 (* x (cos x)))
(*.f64 (cos.f64 x) (neg.f64 x))
(* -1 (* x (cos x)))
(*.f64 (cos.f64 x) (neg.f64 x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

rewrite155.0ms (1.8%)

Memory

15.5MiB live, 204.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	186
0	58	183
1	249	166
2	2187	140
0	9460	140

Stop Event

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

Counts

19 → 691

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(sin.f64 x)
(*.f64 x x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
(*.f64 x (/.f64 (cos.f64 x) x))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
(.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))

Outputs
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eval162.0ms (1.9%)

Memory: -5.0MiB live, 271.5MiB allocated
Compiler: Compiled 22 638 to 2 681 computations (88.2% saved)

prune70.0ms (0.8%)

Memory

9.9MiB live, 99.9MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	1 071	15	1 086
Fresh	10	4	14
Picked	3	2	5
Done	0	1	1
Total	1 084	22	1 106

Accuracy

100.0%

Counts

1 106 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.3%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
	43.9%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x))
	44.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	69.1%	(/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
	44.8%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	26.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
	43.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (neg.f64 x) (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x))))) (.f64 x x))
✓	43.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	26.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
▶	99.9%	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
	68.3%	(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
	44.6%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	1.5%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (.f64 (.f64 (neg.f64 x) x) x)))
▶	36.2%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
	2.2%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)))
▶	26.1%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
▶	44.9%	(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
	68.8%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
	57.8%	#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
▶	57.5%	#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
✓	57.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
✓	58.5%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 525 to 343 computations (34.7% saved)

simplify126.0ms (1.5%)

Memory

-8.6MiB live, 102.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	(neg.f64 x)
cost-diff	1024	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
cost-diff	6400	(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 (cos.f64 x) #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
cost-diff	704	(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff	6400	(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 (sin.f64 x) x)
cost-diff	0	(.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	228
0	64	226
1	123	210
2	314	178
3	1270	178
4	3000	178
5	4366	178
6	5362	178
7	6275	178
8	7219	178
0	8327	178

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
(.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
(neg.f64 x)
x
(.f64 (.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) x)
#s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
x
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
(neg.f64 x)
x
(.f64 (.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) x)
(/.f64 (cos.f64 x) (*.f64 x x))
(cos.f64 x)
(*.f64 x x)

Outputs
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 x)
x
(.f64 (.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(*.f64 (neg.f64 x) x)
#s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
x
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 x)
x
(.f64 (.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(*.f64 (neg.f64 x) x)
(/.f64 (cos.f64 x) (*.f64 x x))
(cos.f64 x)
(*.f64 x x)

localize201.0ms (2.3%)

Memory

-0.7MiB live, 203.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(.f64 (.f64 (neg.f64 x) x) x)
accuracy	0.32766451462482504	(/.f64 (cos.f64 x) (*.f64 x x))
accuracy	10.673158355738646	(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
accuracy	35.332872635907	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
accuracy	0	(cos.f64 x)
accuracy	0.11063253162065376	(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
accuracy	15.215031877675713	(-.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy	19.007832090868778	(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
accuracy	0.1171875	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy	10.313790323871137	#s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
accuracy	10.673158355738646	(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
accuracy	35.332872635907	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
accuracy	0	(*.f64 x x)
accuracy	0.08203125	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	27.22226144933377	#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
accuracy	0.00390625	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.03515625	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
accuracy	0.10546875	(.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
accuracy	0.1484375	(/.f64 (sin.f64 x) x)

Samples

84.0ms	89×	2	valid
41.0ms	111×	0	valid
27.0ms	23×	3	valid
15.0ms	33×	1	valid

Compiler

Compiled 212 to 36 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-div: 40.0ms (29.2% of total)

ival-cos: 33.0ms (24.1% of total)

ival-mult: 22.0ms (16% of total)

adjust: 13.0ms (9.5% of total)

ival-sin: 9.0ms (6.6% of total)

ival-sub: 8.0ms (5.8% of total)

ival-tan: 4.0ms (2.9% of total)

const: 4.0ms (2.9% of total)

ival-add: 2.0ms (1.5% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x) (patch (/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 ( x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (patch (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 (cos.f64 x) #s(literal 1 binary64)) (patch (-.f64 (cos.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (.f64 x x))) (patch (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 x) x) (patch (.f64 (neg.f64 x) x) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 x) (.f64 x x)) (patch (/.f64 (cos.f64 x) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (neg.f64 x) x) x) (patch (.f64 (.f64 (neg.f64 x) x) x) #<representation binary64>) () ())

Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x) (patch (/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x) (patch (/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x) (patch (/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x) (patch (/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (patch (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 ( x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 ( x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 ( x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (/ (- 1 ( x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
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#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
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#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (.f64 x x))) (patch (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (.f64 x x))) (patch (-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) x) (patch (.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) x) (patch (.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) x) (patch (.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
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#s(alt (/ (cos x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (.f64 x x)) (patch (/.f64 (cos.f64 x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 x) x) x) (patch (.f64 (.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 x) x) x) (patch (.f64 (.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 x) x) x) (patch (.f64 (.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 x) x) x) (patch (.f64 (.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

((/ (* (/ (sin x) x) (tan (* 1/2 x))) x) (* (/ (sin x) x) (tan (* 1/2 x))) (/ (sin x) x) (sin x) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (+ (* -1/24 (* x x)) 1/2) (* x x) (/ (neg x) (* (* (neg x) x) x)) (/ (/ 1 x) x) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (neg x) (* (/ (- (cos x) 1) x) (/ -1 x)) (/ (- (cos x) 1) x) (- (cos x) 1) (cos x) (- (/ (neg x) (* (* (neg x) x) x)) (/ (cos x) (* x x))) (* (neg x) x) (tan (* 1/2 x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/ (cos x) (* x x)) (* (* (neg x) x) x))

3.0ms

inf

((/ (* (/ (sin x) x) (tan (* 1/2 x))) x) (* (/ (sin x) x) (tan (* 1/2 x))) (/ (sin x) x) (sin x) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (+ (* -1/24 (* x x)) 1/2) (* x x) (/ (neg x) (* (* (neg x) x) x)) (/ (/ 1 x) x) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (neg x) (* (/ (- (cos x) 1) x) (/ -1 x)) (/ (- (cos x) 1) x) (- (cos x) 1) (cos x) (- (/ (neg x) (* (* (neg x) x) x)) (/ (cos x) (* x x))) (* (neg x) x) (tan (* 1/2 x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/ (cos x) (* x x)) (* (* (neg x) x) x))

2.0ms

((/ (* (/ (sin x) x) (tan (* 1/2 x))) x) (* (/ (sin x) x) (tan (* 1/2 x))) (/ (sin x) x) (sin x) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (+ (* -1/24 (* x x)) 1/2) (* x x) (/ (neg x) (* (* (neg x) x) x)) (/ (/ 1 x) x) (- (/ (neg x) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (neg x) (* (/ (- (cos x) 1) x) (/ -1 x)) (/ (- (cos x) 1) x) (- (cos x) 1) (cos x) (- (/ (neg x) (* (* (neg x) x) x)) (/ (cos x) (* x x))) (* (neg x) x) (tan (* 1/2 x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/ (cos x) (* x x)) (* (* (neg x) x) x))

simplify183.0ms (2.1%)

Memory

-4.8MiB live, 149.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	1796
1	311	1790
2	752	1790
3	2159	1790
4	4014	1790
5	5283	1790
6	7953	1790
0	8032	1697

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 251

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ 1 (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(sin x)
(sin x)
(sin x)
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(cos x)
(cos x)
(cos x)
(cos x)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(sin x)
(sin x)
(sin x)
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(cos x)
(cos x)
(cos x)
(cos x)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) x)
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x)
(* -1/2 (pow x 2))
(.f64 (.f64 #s(literal -1/2 binary64) x) x)
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)) x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)) x) x)
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 x x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 x x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 x x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 x x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- (cos x) 1) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/ (- (cos x) 1) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/ (- (cos x) 1) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/ (- (cos x) 1) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(- (cos x) 1)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(- (cos x) 1)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(- (cos x) 1)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(- (cos x) 1)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 x x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 x x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 x x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 x x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- (cos x) 1) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/ (- (cos x) 1) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/ (- (cos x) 1) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/ (- (cos x) 1) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(- (cos x) 1)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(- (cos x) 1)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(- (cos x) 1)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(- (cos x) 1)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))

rewrite183.0ms (2.1%)

Memory

1.3MiB live, 191.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	182
0	64	176
1	252	144
2	2194	132
0	8644	132

Stop Event

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

Counts

21 → 1 110

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
(.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
(/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(neg.f64 x)
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(*.f64 (neg.f64 x) x)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (cos.f64 x) (*.f64 x x))
(.f64 (.f64 (neg.f64 x) x) x)

Outputs
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eval467.0ms (5.4%)

Memory: -20.4MiB live, 273.9MiB allocated
Compiler: Compiled 30 751 to 3 062 computations (90% saved)

prune57.0ms (0.7%)

Memory

18.7MiB live, 137.6MiB allocated

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	1 609	17	1 626
Fresh	4	10	14
Picked	2	3	5
Done	0	3	3
Total	1 615	33	1 648

Accuracy

100.0%

Counts

1 648 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.3%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
	43.9%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x))
	44.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	69.1%	(/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
	44.8%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	26.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
✓	43.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	26.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
✓	99.9%	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
	44.9%	(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x))
	68.3%	(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
	1.8%	(-.f64 (/.f64 (/.f64 (.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
▶	26.2%	(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
▶	26.1%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	26.1%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) x))) x) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	26.2%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
	2.2%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) x) x)))
	26.1%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
	26.2%	(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (.f64 (neg.f64 x) x))) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	43.5%	(-.f64 #s(approx (/ (neg x) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x x)))
	26.1%	(-.f64 #s(approx (/ (neg x) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	43.5%	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
✓	44.9%	(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
	68.8%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
	26.7%	(.f64 (/.f64 #s(approx (- (cos x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x)) x) (/.f64 #s(literal -1 binary64) x))
	43.8%	(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
	43.5%	(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
▶	44.8%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
	58.4%	(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
	57.8%	#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
✓	57.5%	#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
✓	57.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
✓	58.5%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 821 to 553 computations (32.6% saved)

simplify184.0ms (2.1%)

Memory

85.8MiB live, 200.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff	320	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x))
cost-diff	320	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
cost-diff	6400	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x))
cost-diff	0	(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
cost-diff	320	(/.f64 x (*.f64 x x))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff	384	(/.f64 (/.f64 x (*.f64 x x)) x)
cost-diff	-384	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)))
cost-diff	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
cost-diff	0	(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)
cost-diff	0	(/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	284
0	65	279
1	125	227
2	331	210
3	1301	201
4	2678	201
5	4451	201
6	5734	201
7	6487	201
8	7463	201
9	7898	201
0	8044	201

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))
(*.f64 x x)
x
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (/.f64 x (*.f64 x x)) x)
(/.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(.f64 (.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

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

localize288.0ms (3.3%)

Memory

-57.0MiB live, 376.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 x)
accuracy	0.11063253162065376	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
accuracy	15.215031877675713	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	19.06089835063193	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x))
accuracy	0.16796875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
accuracy	10.313790323871137	#s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
accuracy	10.673158355738646	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x))
accuracy	35.332872635907	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
accuracy	0.1171875	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy	10.313790323871137	#s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
accuracy	33.648389025261785	(/.f64 x (*.f64 x x))
accuracy	35.332872635907	(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
accuracy	0	(*.f64 x x)
accuracy	15.215031877675713	(-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)))
accuracy	19.628349572986934	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
accuracy	24.166046512247615	#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))
accuracy	0.00390625	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.03515625	(/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
accuracy	0.16082001953688402	(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
accuracy	19.007832090868778	(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)

Samples

90.0ms	89×	2	valid
68.0ms	111×	0	valid
24.0ms	23×	3	valid
24.0ms	33×	1	valid

Compiler

Compiled 256 to 35 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-cos: 43.0ms (26.1% of total)

ival-sub: 40.0ms (24.3% of total)

ival-div: 27.0ms (16.4% of total)

ival-mult: 21.0ms (12.8% of total)

ival-sin: 14.0ms (8.5% of total)

adjust: 12.0ms (7.3% of total)

ival-tan: 5.0ms (3% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory

-13.0MiB live, 23.7MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) (patch (/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (patch (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) #<representation binary64>) () ())
#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) (patch #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) #s(approx ( x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x (.f64 x x)) x) (patch (/.f64 (/.f64 x (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 x x)) (patch (/.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (patch (-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (patch (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())

Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) (patch (/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) (patch (/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) (patch (/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) (patch (/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (patch (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (patch (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (patch (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (patch (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) (patch #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) (patch #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) (patch #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) (patch #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) #s(approx ( x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) #s(approx ( x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) #s(approx ( x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) #s(approx ( x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x (.f64 x x)) x) (patch (/.f64 (/.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x (.f64 x x)) x) (patch (/.f64 (/.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x (.f64 x x)) x) (patch (/.f64 (/.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x (.f64 x x)) x) (patch (/.f64 (/.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 x (.f64 x x)) (patch (/.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 x (.f64 x x)) (patch (/.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 x (.f64 x x)) (patch (/.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 x (.f64 x x)) (patch (/.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (patch (-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (patch (-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (patch (-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (patch (-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (patch (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (patch (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (patch (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (patch (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (patch (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (patch (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (patch (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (patch (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 1 (cos x)) x)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 1 (cos x)) x)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 1 (cos x)) x)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 1 (cos x)) x)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

20.0ms

inf

((/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (/ (* (tan (* 1/2 x)) (sin x)) x) (* (tan (* 1/2 x)) (sin x)) (tan (* 1/2 x)) (- 1 (* x (/ (cos x) x))) (* x (/ (cos x) x)) (* x x) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (/ (/ x (* x x)) x) (/ (/ 1 x) x) (/ x (* x x)) (- (/ (/ x (* x x)) x) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (/ (/ 1 (/ -1 x)) (* (* (neg x) x) x)) (/ 1 (/ -1 x)) (- (/ (/ 1 (/ -1 x)) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (* (* (- 1 (cos x)) (/ -1 x)) (/ -1 x)) (* (- 1 (cos x)) (/ -1 x)) (- 1 (cos x)) (cos x) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)))

2.0ms

-inf

((/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (/ (* (tan (* 1/2 x)) (sin x)) x) (* (tan (* 1/2 x)) (sin x)) (tan (* 1/2 x)) (- 1 (* x (/ (cos x) x))) (* x (/ (cos x) x)) (* x x) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (/ (/ x (* x x)) x) (/ (/ 1 x) x) (/ x (* x x)) (- (/ (/ x (* x x)) x) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (/ (/ 1 (/ -1 x)) (* (* (neg x) x) x)) (/ 1 (/ -1 x)) (- (/ (/ 1 (/ -1 x)) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (* (* (- 1 (cos x)) (/ -1 x)) (/ -1 x)) (* (- 1 (cos x)) (/ -1 x)) (- 1 (cos x)) (cos x) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)))

1.0ms

((/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (/ (* (tan (* 1/2 x)) (sin x)) x) (* (tan (* 1/2 x)) (sin x)) (tan (* 1/2 x)) (- 1 (* x (/ (cos x) x))) (* x (/ (cos x) x)) (* x x) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (/ (/ x (* x x)) x) (/ (/ 1 x) x) (/ x (* x x)) (- (/ (/ x (* x x)) x) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (/ (/ 1 (/ -1 x)) (* (* (neg x) x) x)) (/ 1 (/ -1 x)) (- (/ (/ 1 (/ -1 x)) (* (* (neg x) x) x)) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x))) (* (* (- 1 (cos x)) (/ -1 x)) (/ -1 x)) (* (- 1 (cos x)) (/ -1 x)) (- 1 (cos x)) (cos x) (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)))

simplify209.0ms (2.4%)

Memory

7.0MiB live, 165.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1788
1	257	1788
2	619	1788
3	1350	1780
4	2448	1780
5	3483	1780
6	5136	1780
7	7865	1780
0	8226	1696

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(/ 1 (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* -1 (/ (- 1 (cos x)) x))
(* -1 (/ (- 1 (cos x)) x))
(* -1 (/ (- 1 (cos x)) x))
(* -1 (/ (- 1 (cos x)) x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* -1 (/ (- 1 (cos x)) x))
(* -1 (/ (- 1 (cos x)) x))
(* -1 (/ (- 1 (cos x)) x))
(* -1 (/ (- 1 (cos x)) x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) x)
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/ (cos x) (pow x 2))
(/.f64 (/.f64 (cos.f64 x) x) x)

rewrite77.0ms (0.9%)

Memory

-2.5MiB live, 73.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	213
0	65	202
1	245	139
0	1917	139

Stop Event

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

Counts

20 → 472

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)))
#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 x (*.f64 x x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 x (*.f64 x x))
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
#s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))

Outputs
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eval132.0ms (1.5%)

Memory: 7.0MiB live, 125.0MiB allocated
Compiler: Compiled 12 671 to 1 362 computations (89.3% saved)

prune98.0ms (1.1%)

Memory

-4.1MiB live, 86.2MiB allocated

Pruning

37 alts after pruning (28 fresh and 9 done)

	Pruned	Kept	Total
New	809	11	820
Fresh	5	17	22
Picked	2	3	5
Done	0	6	6
Total	816	37	853

Accuracy

100.0%

Counts

853 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.3%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
	43.9%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x))
	44.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	69.1%	(/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
	26.7%	(/.f64 (/.f64 #s(approx (* (tan (* 1/2 x)) (sin x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) x) x)
	44.8%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	26.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
✓	43.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	26.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
✓	99.9%	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
	44.9%	(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x))
	68.3%	(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
	26.2%	(-.f64 (/.f64 (/.f64 x (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) x) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	26.2%	(-.f64 (/.f64 (/.f64 x (.f64 (neg.f64 x) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)))) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	26.3%	(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
	26.2%	(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
	26.2%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
	26.1%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
	26.1%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) x))) x) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	26.1%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) x))) x) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	26.2%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
	2.2%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) x) x)))
	26.1%	(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
	26.1%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	26.2%	(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	43.5%	(-.f64 #s(approx (/ (neg x) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x x)))
	43.5%	(.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
✓	44.9%	(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
	68.8%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
	43.8%	(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
	43.5%	(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
✓	44.8%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
	58.4%	(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
	57.8%	#s(approx (/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
✓	57.5%	#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
✓	57.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
✓	58.5%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 430 to 543 computations (62% saved)

regimes52.0ms (0.6%)

Memory

11.2MiB live, 48.4MiB allocated

Counts

63 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
(-.f64 #s(approx (/ (neg x) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (.f64 (neg.f64 x) x))) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(approx (* (tan (* 1/2 x)) (sin x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) x) x)
(-.f64 (/.f64 (/.f64 (.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(.f64 (/.f64 #s(approx (- (cos x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x)) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) x))) x) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 x (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) x) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (.f64 (.f64 (neg.f64 x) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 (/.f64 x (.f64 (neg.f64 x) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)))) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) x))) x) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ (neg x) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (neg.f64 x) (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x))))) (.f64 x x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
(-.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))))

Outputs
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)

Calls

2 calls:

32.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
17.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes59.0ms (0.7%)

Memory

-1.7MiB live, 35.3MiB allocated

Counts

60 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
(-.f64 #s(approx (/ (neg x) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (.f64 (neg.f64 x) x))) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(approx (* (tan (* 1/2 x)) (sin x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) x) x)
(-.f64 (/.f64 (/.f64 (.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(.f64 (/.f64 #s(approx (- (cos x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x)) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) x))) x) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 x (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) x) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (.f64 (.f64 (neg.f64 x) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 (/.f64 x (.f64 (neg.f64 x) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)))) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) x))) x) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ (neg x) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (neg.f64 x) (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x))))) (.f64 x x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x)))
(-.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

Calls

2 calls:

39.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
16.0ms	x

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.6%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes53.0ms (0.6%)

Memory

-10.0MiB live, 27.3MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
(-.f64 #s(approx (/ (neg x) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (.f64 (neg.f64 x) x))) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(approx (* (tan (* 1/2 x)) (sin x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) x) x)
(-.f64 (/.f64 (/.f64 (.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(.f64 (/.f64 #s(approx (- (cos x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x)) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) x))) x) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 x (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) x) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (.f64 (.f64 (neg.f64 x) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 (/.f64 x (.f64 (neg.f64 x) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)))) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) x))) x) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Calls

2 calls:

40.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
10.0ms	x

Results

Accuracy	Segments	Branch
74.8%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.4%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes12.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
(-.f64 #s(approx (/ (neg x) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (.f64 (neg.f64 x) x))) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(approx (* (tan (* 1/2 x)) (sin x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) x) x)
(-.f64 (/.f64 (/.f64 (.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(.f64 (/.f64 #s(approx (- (cos x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x)) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) x))) x) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 x (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) x) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (.f64 (.f64 (neg.f64 x) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) x)) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 (/.f64 x (.f64 (neg.f64 x) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)))) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 x) x))) x) x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

(-.f64 (/.f64 (/.f64 x (*.f64 x x)) x) #s(approx (/ (* (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
82.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes71.0ms (0.8%)

Memory

-47.3MiB live, 23.3MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x))
(-.f64 #s(approx (/ (neg x) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))

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

Calls

1 calls:

70.0ms

Results

Accuracy	Segments	Branch
82.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(.f64 #s(approx (/ (- (cos x) 1) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
82.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Accuracy

Total -0.7b remaining (-2.5%)

Threshold costs -0.7b (-2.5%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))

#s(approx (/ (- 1 (* x (/ (cos x) x))) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
58.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
58.5%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch83.0ms (1%)

Memory

-19.4MiB live, 18.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
81.0ms	1.2860815179540626e-14	0.39978626990541055

Samples

7.0ms	144×	0	valid
1.0ms	16×	1	valid

Compiler

Compiled 111 to 120 computations (-8.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 2.0ms (39.1% of total)

ival-sub: 1.0ms (19.5% of total)

ival-div: 1.0ms (19.5% of total)

ival-mult: 1.0ms (19.5% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2860815179540626e-14	0.39978626990541055

Compiler

Compiled 111 to 120 computations (-8.1% saved)

bsearch4.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	5.68801838742291e+78	6.192652804343492e+78

Samples

3.0ms

32×

valid

Compiler

Compiled 43 to 36 computations (16.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-cos: 1.0ms (54.9% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.503889594880864e+28	2.6487482727266456e+29

Samples

7.0ms

96×

valid

Compiler

Compiled 155 to 118 computations (23.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 3.0ms (63.1% of total)

ival-mult: 1.0ms (21% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch69.0ms (0.8%)

Memory

-24.5MiB live, 12.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.461775117684743e+75	5.68801838742291e+78

Samples

9.0ms

128×

valid

Compiler

Compiled 91 to 98 computations (-7.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 4.0ms (59% of total)

ival-sub: 1.0ms (14.7% of total)

ival-div: 1.0ms (14.7% of total)

ival-mult: 1.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify60.0ms (0.7%)

Memory

8.0MiB live, 45.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	171
1	73	171
2	93	171
3	107	171
4	114	171
5	115	171

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
(if (<=.f64 x #s(literal 1152921504606847/9223372036854775808 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 1152921504606847/9223372036854775808 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 5800000000000000337226301846611334638783052510209149944169771281552698140262400 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(if (<=.f64 x #s(literal 75999999999999997711319302144 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x)))
(if (<=.f64 x #s(literal 140000000000000000160666652390804640313986050345482420611089958357404152233984 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Outputs
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) x)
(if (<=.f64 x #s(literal 1152921504606847/9223372036854775808 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 1152921504606847/9223372036854775808 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 5800000000000000337226301846611334638783052510209149944169771281552698140262400 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (/.f64 x (.f64 x x)) x) #s(approx (/ ( (* (neg x) x) (/ (cos x) x)) (* (* (neg x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(if (<=.f64 x #s(literal 75999999999999997711319302144 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (.f64 x x)))
(if (<=.f64 x #s(literal 75999999999999997711319302144 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)) (.f64 x x)))
(if (<=.f64 x #s(literal 140000000000000000160666652390804640313986050345482420611089958357404152233984 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

soundness1.8s (20.3%)

Memory

10.5MiB live, 1 013.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	284
1	105	284
2	258	284
3	609	284
4	1290	284
5	1996	284
6	2309	284
7	3163	284
8	4640	284
9	6288	284
10	7165	284
11	7380	284
12	7398	284
13	7400	284
14	7806	284
0	8015	266
0	40	182
0	64	176
1	252	144
2	2194	132
0	8644	132
0	131	1773
1	318	1773
2	783	1761
3	2348	1761
4	4556	1761
5	6783	1753
0	8161	1640
0	93	1788
1	257	1788
2	619	1788
3	1350	1780
4	2448	1780
5	3483	1780
6	5136	1780
7	7865	1780
0	8226	1696
0	6	17
0	10	17
1	40	17
2	268	17
3	2810	17
0	9656	17
0	34	186
0	58	183
1	249	166
2	2187	140
0	9460	140

Stop Event

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

Compiler

Compiled 275 to 149 computations (45.8% saved)

preprocess60.0ms (0.7%)

Memory: -6.2MiB live, 105.2MiB allocated
Remove: (abs x)
Compiler: Compiled 266 to 136 computations (48.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample2.3s (26.7%)

explain188.0ms (2.2%)

preprocess53.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify27.0ms (0.3%)

localize56.0ms (0.7%)

series4.0ms (0%)

simplify246.0ms (2.8%)

rewrite161.0ms (1.9%)

eval70.0ms (0.8%)

prune28.0ms (0.3%)

simplify102.0ms (1.2%)

localize268.0ms (3.1%)

series17.0ms (0.2%)

simplify182.0ms (2.1%)

rewrite155.0ms (1.8%)

eval162.0ms (1.9%)

prune70.0ms (0.8%)

simplify126.0ms (1.5%)

localize201.0ms (2.3%)

series16.0ms (0.2%)

simplify183.0ms (2.1%)

rewrite183.0ms (2.1%)

eval467.0ms (5.4%)

prune57.0ms (0.7%)

simplify184.0ms (2.1%)

localize288.0ms (3.3%)

series31.0ms (0.4%)

simplify209.0ms (2.4%)

rewrite77.0ms (0.9%)

eval132.0ms (1.5%)

prune98.0ms (1.1%)

regimes52.0ms (0.6%)

regimes59.0ms (0.7%)

regimes53.0ms (0.6%)

regimes12.0ms (0.1%)

regimes71.0ms (0.8%)

regimes4.0ms (0%)

regimes4.0ms (0%)

bsearch83.0ms (1%)

bsearch1.0ms (0%)

bsearch4.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch69.0ms (0.8%)

simplify60.0ms (0.7%)

soundness1.8s (20.3%)

preprocess60.0ms (0.7%)

end0.0ms (0%)

Profiling