Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
75%	37.5%	12.5%	50%	0%	0%	0%	3
87.5%	43.7%	6.2%	50%	0%	0%	0%	4
93.8%	46.8%	3.1%	50%	0%	0%	0%	5
96.9%	48.4%	1.6%	50%	0%	0%	0%	6
98.4%	49.2%	0.8%	50%	0%	0%	0%	7
99.2%	49.6%	0.4%	50%	0%	0%	0%	8
99.6%	49.8%	0.2%	50%	0%	0%	0%	9
99.8%	49.9%	0.1%	50%	0%	0%	0%	10
99.9%	49.9%	0%	50%	0%	0%	0%	11
100%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample3.9s (31.2%)

Memory

-104.6MiB live, 3 703.2MiB allocated

Samples

3.1s	5 643×	2	valid
354.0ms	2 473×	1	valid
9.0ms	140×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-sin: 2.1s (71% of total)

adjust: 308.0ms (10.5% of total)

ival-sub: 182.0ms (6.2% of total)

ival-div: 164.0ms (5.6% of total)

ival-<=: 99.0ms (3.4% of total)

ival-tan: 68.0ms (2.3% of total)

ival-and: 12.0ms (0.4% of total)

exact: 11.0ms (0.4% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain230.0ms (1.8%)

Memory

25.6MiB live, 252.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
102	0	-	0	-	`(-.f64 x (sin.f64 x))`
41	1	(-8.78077335332775e-162)	3	(-4.1435026015018923e-107)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	102	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	39	0
↳	`(-.f64 x (sin.f64 x))`	underflow	154

Confusion

	Predicted +	Predicted -
+	140	0
-	1	115

Precision

0.9929078014184397

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	140	0	0
-	1	0	115

Precision?

0.9929078014184397

Recall?

1.0

Freqs

test

number	freq
0	115
1	141

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

152.0ms	326×	2	valid
21.0ms	176×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 44 to 19 computations (56.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-sin: 120.0ms (77.9% of total)

adjust: 11.0ms (7.1% of total)

ival-sub: 10.0ms (6.5% of total)

ival-div: 9.0ms (5.8% of total)

ival-tan: 4.0ms (2.6% of total)

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

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

preprocess73.0ms (0.6%)

Memory

-26.1MiB live, 68.1MiB allocated

Algorithm

1×	egg-herbie

Rules

272×	`lower-fma.f64`
272×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
140×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Symmetry

(abs x)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.7%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify23.0ms (0.2%)

Memory

1.1MiB live, 39.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(tan.f64 x)
cost-diff	0	(sin.f64 x)
cost-diff	0	(-.f64 x (sin.f64 x))
cost-diff	0	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Rules

272×	`lower-fma.f64`
272×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
140×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

localize107.0ms (0.9%)

Memory

4.5MiB live, 126.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(tan.f64 x)
accuracy	0	(sin.f64 x)
accuracy	8.68904665500446	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	22.541254868193715	(-.f64 x (sin.f64 x))

Samples

82.0ms	163×	2	valid
12.0ms	88×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-sin: 38.0ms (46.8% of total)

adjust: 34.0ms (41.9% of total)

ival-div: 4.0ms (4.9% of total)

ival-sub: 3.0ms (3.7% of total)

ival-tan: 2.0ms (2.5% of total)

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

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

series4.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 3)) (taylor 0 x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) (taylor 0 x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) (taylor 0 x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (sin x) x)))) (taylor inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (sin x) x)))) (taylor inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (sin x) x)))) (taylor inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (sin x) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (sin x) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (sin x) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 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 (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (- x (sin x)) (tan x))
1.0ms	x	@	-inf	(/ (- x (sin x)) (tan x))
0.0ms	x	@	0	(/ (- x (sin x)) (tan x))
0.0ms	x	@	inf	(tan x)
0.0ms	x	@	-inf	(tan x)

simplify452.0ms (3.6%)

Memory

7.6MiB live, 231.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18 358×	`lower-fma.f64`
18 358×	`lower-fma.f32`
5 180×	`lower-*.f64`
5 180×	`lower-*.f32`
3 422×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	408
1	301	384
2	829	384
3	2520	348
4	5523	342
0	8535	318

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 44

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
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))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* 1/6 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (.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)) x) (*.f64 x x))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) x)
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 (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)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

rewrite202.0ms (1.6%)

Memory

-14.8MiB live, 316.0MiB allocated

Rules

5 862×	`lower-*.f64`
5 862×	`lower-*.f32`
3 904×	`lower-/.f32`
3 902×	`lower-/.f64`
2 230×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	9	15
1	37	15
2	267	15
3	3099	15
0	9023	15

Stop Event

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

Counts

4 → 481

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 x)

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) (.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 (neg.f64 (tan.f64 x)) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sin.f64 x) x))))
(.f64 (pow.f64 (/.f64 (neg.f64 (tan.f64 x)) (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (tan.f64 x) (neg.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sin.f64 x) x))))
(.f64 (pow.f64 (/.f64 (tan.f64 x) (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (sin.f64 x) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(.f64 (/.f64 (/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (tan.f64 x)) (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (tan.f64 x)) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 x (sin.f64 x)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (pow.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) (-.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) (cos.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 (sin.f64 x) x)))
(.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))
(.f64 (/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (cos.f64 x))))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (-.f64 x (sin.f64 x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 x (sin.f64 x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (cos.f64 x) (-.f64 x (sin.f64 x))))
(.f64 (/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))
(.f64 (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (-.f64 (sin.f64 x) x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 x (sin.f64 x)))
(.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) (.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)))
(.f64 (+.f64 (sin.f64 x) x) (/.f64 (-.f64 x (sin.f64 x)) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (sin.f64 x) x)))
(.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) x)) (tan.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))) (tan.f64 x)))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (sin.f64 x) x) (/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (tan.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (/.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) (.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (.f64 x x))) (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) #s(literal -1 binary64))
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(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (.f64 (neg.f64 (cos.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (cos.f64 x)) (+.f64 #s(literal 0 binary64) (tan.f64 x))))
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(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))))
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(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
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(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
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(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (tan.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x)))
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(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
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eval113.0ms (0.9%)

Memory: 21.3MiB live, 99.9MiB allocated
Compiler: Compiled 12 277 to 1 537 computations (87.5% saved)

prune82.0ms (0.7%)

Memory

-4.1MiB live, 154.2MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	516	9	525
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	516	10	526

Accuracy

99.8%

Counts

526 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.7%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
▶	85.8%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x))
	86.2%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) x)) (tan.f64 x))
	85.3%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
▶	50.7%	(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
	50.7%	(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 274 to 153 computations (44.2% saved)

simplify136.0ms (1.1%)

Memory

5.6MiB live, 115.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (cos.f64 x))
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 x (tan.f64 x))
cost-diff	128	(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))
cost-diff	0	#s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x)))
cost-diff	0	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Rules

7 386×	`lower-fma.f32`
7 374×	`lower-fma.f64`
3 470×	`lower-*.f32`
3 454×	`lower-*.f64`
1 678×	`distribute-lft-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	296
0	60	295
1	109	289
2	199	289
3	464	289
4	1022	289
5	2066	289
6	2317	289
7	3268	289
8	7779	289
0	8229	289

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x)))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(tan.f64 x)
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 x (tan.f64 x))
x
(tan.f64 x)
(neg.f64 (cos.f64 x))
(cos.f64 x)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x)))
#s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))
(.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(tan.f64 x)
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/.f64 x (tan.f64 x))
x
(tan.f64 x)
(neg.f64 (cos.f64 x))
(cos.f64 x)

localize489.0ms (3.9%)

Memory

24.1MiB live, 613.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (cos.f64 x))
accuracy	0	(cos.f64 x)
accuracy	0.00390625	(/.f64 x (tan.f64 x))
accuracy	31.557605069800605	(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
accuracy	0.140625	(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))
accuracy	0.2946395037650814	#s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x)))
accuracy	0.375	(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	8.68904665500446	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x))
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.1328125	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.19165994380427798	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.38671875	(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0	(*.f64 x x)
accuracy	0.19921875	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.752877125082311	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.01171875	(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
accuracy	0.11576569168899775	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.125	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.38671875	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)

Samples

368.0ms	164×	2	valid
57.0ms	88×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 251 to 36 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 325.0ms

ival-tan: 83.0ms (25.6% of total)

const: 58.0ms (17.9% of total)

ival-sin: 46.0ms (14.2% of total)

adjust: 41.0ms (12.6% of total)

ival-mult: 39.0ms (12% of total)

ival-cos: 23.0ms (7.1% of total)

ival-add: 18.0ms (5.5% of total)

ival-div: 9.0ms (2.8% of total)

ival-sub: 4.0ms (1.2% of total)

ival-neg: 3.0ms (0.9% of total)

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

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

series27.0ms (0.2%)

Memory

-36.2MiB live, 44.6MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 1/6 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x)) (patch (/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) (patch #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x)) (patch (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())
#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())
#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 8)) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 8)) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
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#s(alt (* -1/120 (pow x 3)) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/120 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor inf x) (#s(alt (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/3 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) (taylor 0 x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) (taylor 0 x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor inf x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor inf x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor inf x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor inf x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (pow x 2)) 1) (taylor 0 x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (taylor 0 x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (taylor 0 x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor -inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor -inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor -inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor -inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt -11/15120 (taylor 0 x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -143/604800 (pow x 2)) 11/15120) (taylor 0 x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -143/604800 (pow x 2)) 11/15120) (taylor 0 x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -143/604800 (pow x 2)) 11/15120) (taylor 0 x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<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 (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) (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>) () ())) ())

Calls

63 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x)
1.0ms	x	@	0	(* (* (+ (* -1/120 (* x x)) 1/6) x) (* x x))
1.0ms	x	@	0	(* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x)
1.0ms	x	@	-inf	(/ x (tan x))
1.0ms	x	@	inf	(+ (/ x (tan x)) (neg (cos x)))

simplify169.0ms (1.3%)

Memory

26.9MiB live, 235.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 124×	`lower-fma.f64`
12 124×	`lower-fma.f32`
4 440×	`lower-*.f64`
4 440×	`lower-*.f32`
3 428×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	2468
1	635	2426
2	1937	2408
3	4470	2306
0	8300	2192

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 249

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* -1/120 (pow x 5))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* -1/120 (pow x 5))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* -1/120 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* -1/120 (pow x 3))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3)))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
-11/15120
(- (* -143/604800 (pow x 2)) 11/15120)
(- (* -143/604800 (pow x 2)) 11/15120)
(- (* -143/604800 (pow x 2)) 11/15120)
(* -143/604800 (pow x 2))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 2))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (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)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -143/604800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 143/604800 binary64)))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))))
(* -143/604800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(* -143/604800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 143/604800 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
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(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -1/120 (pow x 3))
(.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) x)
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) x) (.f64 x x))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) x) (.f64 x x))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) x) (.f64 x x))
(* -1/120 (pow x 3))
(.f64 (.f64 #s(literal -1/120 binary64) (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) x) (.f64 x x))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) x) (.f64 x x))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) x) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3)))
(fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow x 2)) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(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) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(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 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
-11/15120
#s(literal -11/15120 binary64)
(- (* -143/604800 (pow x 2)) 11/15120)
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(- (* -143/604800 (pow x 2)) 11/15120)
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(- (* -143/604800 (pow x 2)) 11/15120)
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(* -143/604800 (pow x 2))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(* -143/604800 (pow x 2))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 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))
(cos x)
(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)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

rewrite511.0ms (4.1%)

Memory

8.6MiB live, 319.7MiB allocated

Rules

5 742×	`lower-fma.f32`
5 730×	`lower-fma.f64`
4 412×	`lower-/.f32`
4 408×	`lower-/.f64`
4 192×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	247
0	60	246
1	226	240
2	1573	240
0	8195	240

Stop Event

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

Counts

21 → 445

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x)))
(.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 x (tan.f64 x))
(tan.f64 x)
(neg.f64 (cos.f64 x))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(cos.f64 x)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))))
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(-.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x)))
(.f64 (-.f64 #s(literal 121/228614400 binary64) (.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -11/15120 binary64) (.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -121/228614400 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 121/228614400 binary64) (.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64)))))))
(.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -121/228614400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))
(.f64 (fma.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 121/228614400 binary64) (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64)))))))
(.f64 (fma.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 121/228614400 binary64) (.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 121/228614400 binary64) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) (/.f64 (.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) (fma.f64 (/.f64 #s(literal 121/228614400 binary64) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) (/.f64 #s(literal 121/228614400 binary64) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) (.f64 (/.f64 (.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) (/.f64 #s(literal 121/228614400 binary64) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 121/228614400 binary64) (.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -121/228614400 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)) #s(literal 121/228614400 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))
(/.f64 (-.f64 #s(literal 121/228614400 binary64) (.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -121/228614400 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64))) (neg.f64 (+.f64 #s(literal 121/228614400 binary64) (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64))) (neg.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64))))))
(/.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -121/228614400 binary64)) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (-.f64 #s(literal 121/228614400 binary64) (.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 121/228614400 binary64) (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64))))) (fma.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64)) (+.f64 #s(literal 121/228614400 binary64) (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64))))))
(/.f64 (fma.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64)) (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64)))))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(fma.f64 (.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) (neg.f64 (/.f64 #s(literal 121/228614400 binary64) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(fma.f64 x (*.f64 #s(literal -143/604800 binary64) x) #s(literal -11/15120 binary64))
(-.f64 (/.f64 #s(literal 121/228614400 binary64) (-.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (/.f64 (.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) (/.f64 #s(literal 121/228614400 binary64) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) (neg.f64 (/.f64 #s(literal 121/228614400 binary64) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))
(+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))
(cos.f64 x)

eval338.0ms (2.7%)

Memory: -14.9MiB live, 214.9MiB allocated
Compiler: Compiled 22 874 to 1 907 computations (91.7% saved)

prune211.0ms (1.7%)

Memory

-12.0MiB live, 282.5MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	849	12	861
Fresh	2	2	4
Picked	2	3	5
Done	1	0	1
Total	854	17	871

Accuracy

100.0%

Counts

871 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.7%	(/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (tan.f64 x) x) (.f64 (+.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 (tan.f64 x) x)))
	86.2%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x))
	85.7%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) #s(approx (tan x) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
	50.7%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
	50.7%	(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)))))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) x))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
✓	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 762 to 348 computations (54.3% saved)

simplify166.0ms (1.3%)

Memory

17.2MiB live, 169.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) x))
cost-diff	128	(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))
cost-diff	1664	(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x))
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
cost-diff	320	(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))

Rules

13 820×	`lower-fma.f32`
13 802×	`lower-fma.f64`
4 438×	`lower-+.f64`
4 438×	`lower-+.f32`
3 002×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	978
0	100	967
1	204	845
2	482	801
3	2316	788
4	4678	788
0	8149	767

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(*.f64 x x)
x
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x))
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal -1/36 binary64)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) x))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) x)
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) x)
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x))
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
(.f64 (.f64 x x) x)
#s(literal 1/216 binary64)
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x))
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))
#s(literal 1/36 binary64)
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(*.f64 x x)
x
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x))
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(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) #s(literal -1/36 binary64))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x))
(.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal -1/36 binary64)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/216 binary64)) (fma.f64 (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) #s(literal 1/36 binary64))) (*.f64 x x)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) x)
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/216 binary64)) (fma.f64 (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) #s(literal 1/36 binary64))) (*.f64 x x))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) #s(literal 1/36 binary64)))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) x)
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/216 binary64)) x)
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/216 binary64))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x))
(.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x))
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x))
(.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
(.f64 (.f64 x x) x)
#s(literal 1/216 binary64)
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))
(fma.f64 (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))) (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) #s(literal 1/36 binary64))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x))
(.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (.f64 (fma.f64 #s(literal 11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (.f64 x x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)

localize699.0ms (5.6%)

Memory

-8.7MiB live, 625.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.37890625	(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) x)
accuracy	0.38671875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.389177174297186	(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
accuracy	0.5234375	(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
accuracy	0.19165994380427798	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
accuracy	0.21875	(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x))
accuracy	0.23503876953688402	(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.5234375	(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
accuracy	0.125	(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
accuracy	0.12890625	(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
accuracy	0.38671875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.51953125	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
accuracy	0.11576569168899775	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
accuracy	0.125	(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy	0.38671875	(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	0.7518757034032917	#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.0078125	(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.1328125	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
accuracy	0.19165994380427798	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))

Samples

390.0ms	163×	2	valid
134.0ms	88×	1	valid
44.0ms	5×	0	valid

Compiler

Compiled 874 to 61 computations (93% saved)

Precisions

Click to see histograms. Total time spent on operations: 448.0ms

ival-mult: 168.0ms (37.5% of total)

ival-sin: 120.0ms (26.8% of total)

adjust: 70.0ms (15.6% of total)

const: 42.0ms (9.4% of total)

ival-add: 25.0ms (5.6% of total)

ival-div: 17.0ms (3.8% of total)

ival-sub: 6.0ms (1.3% of total)

ival-tan: 2.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.5%)

Memory

14.9MiB live, 53.3MiB allocated

Counts

27 → 324

Calls

Call 1

Inputs
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (patch (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (patch (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))) (patch (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) x) (patch (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (patch (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (patch (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())

Outputs
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#s(alt (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))))) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (* 1/216 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/216 (* -12167/46656000 (pow x 6)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -2783/27433728000 (pow x 2)) 5819/653184000)) 12167/46656000)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1331/3456649728000 (pow x 13)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 13) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 13) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 13) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1331/3456649728000 (pow x 13)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 13) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 13) (+ 1331/3456649728000 (+ (/ 5819/653184000 (pow x 4)) (* 2783/27433728000 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 13) (+ 1331/3456649728000 (+ (/ 5819/653184000 (pow x 4)) (+ (* 2783/27433728000 (/ 1 (pow x 2))) (* 12167/46656000 (/ 1 (pow x 6)))))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ())

Calls

81 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) (* x x))
1.0ms	x	@	inf	(* (/ (* (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) (* (+ (* -11/15120 (* x x)) -23/360) x)) (* (* x x) x)) 1/216) x) (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) (- 1/36 (* (* (+ (* -11/15120 (* x x)) -23/360) x) (* 1/6 x))))) x)
1.0ms	x	@	inf	(/ (* (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) (* x x)) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6))
0.0ms	x	@	0	(* (/ (* (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) (* (+ (* -11/15120 (* x x)) -23/360) x)) (* (* x x) x)) 1/216) x) (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) (- 1/36 (* (* (+ (* -11/15120 (* x x)) -23/360) x) (* 1/6 x))))) x)
0.0ms	x	@	0	(/ (* (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) (* x x)) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6))

simplify289.0ms (2.3%)

Memory

4.0MiB live, 166.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 434×	`lower-fma.f64`
14 434×	`lower-fma.f32`
5 844×	`lower-*.f64`
5 844×	`lower-*.f32`
3 596×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	283	3880
1	859	3850
2	2606	3802
3	6512	3784
0	8131	3627

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
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(* 1/6 (pow x 2))
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6
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1/6
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(* -23/360 (pow x 2))
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(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
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(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))) 1/36))
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(* (pow x 10) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8)))))
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(* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
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(* (pow x 10) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8)))))
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(* 121/228614400 (pow x 8))
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1/36
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(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
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1/36
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(+ 1/36 (* (pow x 2) (+ 23/2160 (* 11/90720 (pow x 2)))))
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(* (pow x 4) (+ 11/90720 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 11/90720 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* 11/90720 (pow x 4))
(* (pow x 4) (+ 11/90720 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 11/90720 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
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(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
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(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
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(/ (* x (cos x)) (sin x))
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(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
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(* 1/6 (pow x 2))
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(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
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(* -11/15120 (pow x 6))
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(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
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-23/360
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(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
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(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
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(* -143/604800 (pow x 5))
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(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* -23/360 x)
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(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
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(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
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(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
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(* 1/216 x)
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(* -1331/3456649728000 (pow x 13))
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(* -1331/3456649728000 (pow x 13))
(* -1 (* (pow x 13) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 13) (+ 1331/3456649728000 (+ (/ 5819/653184000 (pow x 4)) (* 2783/27433728000 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 13) (+ 1331/3456649728000 (+ (/ 5819/653184000 (pow x 4)) (+ (* 2783/27433728000 (/ 1 (pow x 2))) (* 12167/46656000 (/ 1 (pow x 6))))))))

Outputs
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* -11/15120 (pow x 5))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* -11/15120 (pow x 5))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/ (* x (cos x)) (sin x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(/ (* x (cos x)) (sin x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* -11/15120 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))))
(* -11/15120 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))))
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 2)))
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1271/1400 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 90229/252000 binary64) (.f64 x x) #s(literal 1271/1400 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
(/ -15120/11 (pow x 4))
(/.f64 #s(literal -15120/11 binary64) (.f64 (.f64 (*.f64 x x) x) x))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal 14605920/121 binary64) (.f64 x x)) #s(literal 15120/11 binary64)) (.f64 (.f64 (.f64 x x) x) x))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 14605920/121 binary64) (.f64 x x)) #s(literal 15120/11 binary64)) (/.f64 #s(literal 14528445120/1331 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (*.f64 x x) x) x))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 14439354088320/14641 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 14605920/121 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 14528445120/1331 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 15120/11 binary64))) (.f64 (.f64 (*.f64 x x) x) x))
(/ -15120/11 (pow x 4))
(/.f64 #s(literal -15120/11 binary64) (.f64 (.f64 (*.f64 x x) x) x))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal 14605920/121 binary64) (.f64 x x)) #s(literal 15120/11 binary64)) (.f64 (.f64 (.f64 x x) x) x))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 14605920/121 binary64) (.f64 x x)) #s(literal 15120/11 binary64)) (/.f64 #s(literal 14528445120/1331 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (*.f64 x x) x) x))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 14439354088320/14641 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 14605920/121 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 14528445120/1331 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 15120/11 binary64))) (.f64 (.f64 (*.f64 x x) x) x))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/ (* x (cos x)) (sin x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(/ (* x (cos x)) (sin x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* -143/604800 (pow x 8))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (*.f64 x x) x) x)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x)) #s(literal 143/604800 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 11/15120 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)))
(* -143/604800 (pow x 8))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (*.f64 x x) x) x)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x)) #s(literal 143/604800 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 11/15120 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -143/604800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 143/604800 binary64)))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))))
(* -143/604800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (*.f64 x x) x) x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(* -143/604800 (pow x 6))
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(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x)) #s(literal 143/604800 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x)) #s(literal 143/604800 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* -143/604800 (pow x 5))
(.f64 #s(literal -143/604800 binary64) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(* -11/15120 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(* -11/15120 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* -11/15120 (pow x 5))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* -11/15120 (pow x 5))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* 1/216 x)
(*.f64 #s(literal 1/216 binary64) x)
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
(*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x)
(* x (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000))))
(.f64 (fma.f64 (fma.f64 #s(literal -5819/653184000 binary64) (.f64 x x) #s(literal -12167/46656000 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x)
(* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -2783/27433728000 (pow x 2)) 5819/653184000)) 12167/46656000))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2783/27433728000 binary64) (.f64 x x) #s(literal -5819/653184000 binary64)) (*.f64 x x) #s(literal -12167/46656000 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x)
(* -1331/3456649728000 (pow x 13))
(*.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal -1331/3456649728000 binary64))
(* -1 (* (pow x 13) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -1331/3456649728000 binary64) (/.f64 #s(literal 2783/27433728000 binary64) (.f64 x x))) (pow.f64 x #s(literal 13 binary64)))
(* (pow x 13) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal -2783/27433728000 binary64) (/.f64 #s(literal 5819/653184000 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 1331/3456649728000 binary64)) (pow.f64 x #s(literal 13 binary64)))
(* (pow x 13) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 #s(literal -1331/3456649728000 binary64) (/.f64 #s(literal 2783/27433728000 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 12167/46656000 binary64) (.f64 x x)) #s(literal 5819/653184000 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (pow.f64 x #s(literal 13 binary64)))
(* -1331/3456649728000 (pow x 13))
(*.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal -1331/3456649728000 binary64))
(* -1 (* (pow x 13) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -1331/3456649728000 binary64) (/.f64 #s(literal 2783/27433728000 binary64) (.f64 x x))) (pow.f64 x #s(literal 13 binary64)))
(* -1 (* (pow x 13) (+ 1331/3456649728000 (+ (/ 5819/653184000 (pow x 4)) (* 2783/27433728000 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 #s(literal -2783/27433728000 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 5819/653184000 binary64) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1331/3456649728000 binary64))) (pow.f64 x #s(literal 13 binary64)))
(* -1 (* (pow x 13) (+ 1331/3456649728000 (+ (/ 5819/653184000 (pow x 4)) (+ (* 2783/27433728000 (/ 1 (pow x 2))) (* 12167/46656000 (/ 1 (pow x 6))))))))
(.f64 (-.f64 #s(literal -1331/3456649728000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2783/27433728000 binary64) (.f64 x x))) (/.f64 #s(literal 5819/653184000 binary64) (.f64 (.f64 (*.f64 x x) x) x)))) (pow.f64 x #s(literal 13 binary64)))

rewrite573.0ms (4.6%)

Memory

-25.0MiB live, 255.7MiB allocated

Rules

6 228×	`lower-fma.f32`
6 210×	`lower-fma.f64`
5 272×	`lower-*.f32`
5 238×	`lower-*.f64`
4 668×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	741
0	100	502
1	420	461
2	2755	461
0	9564	450

Stop Event

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

Counts

27 → 940

Calls

Call 1

Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))
(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) x))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) x)

Outputs
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal -1/36 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))))
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(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 6 binary64)) #s(literal 1/46656 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)) #s(literal -1/216 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal 1/10077696 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 9 binary64)))) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) x) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)) #s(literal -1/216 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 9 binary64))) x) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)))))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x))) x (.f64 #s(literal 1/216 binary64) x))
(fma.f64 #s(literal 1/216 binary64) x (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x))) x))
(fma.f64 x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x))) (.f64 x #s(literal 1/216 binary64)))
(fma.f64 x #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)))))
(+.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x))) x) (*.f64 #s(literal 1/216 binary64) x))
(+.f64 (.f64 #s(literal 1/216 binary64) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x))) x))
(+.f64 (.f64 x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)))) (*.f64 x #s(literal 1/216 binary64)))
(+.f64 (.f64 x #s(literal 1/216 binary64)) (.f64 x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)))))

eval595.0ms (4.7%)

Memory: 37.3MiB live, 345.8MiB allocated
Compiler: Compiled 119 011 to 4 949 computations (95.8% saved)

prune688.0ms (5.5%)

Memory

-41.7MiB live, 456.8MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1 887	8	1 895
Fresh	5	4	9
Picked	3	2	5
Done	0	3	3
Total	1 895	17	1 912

Accuracy

100.0%

Counts

1 912 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.7%	(/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (tan.f64 x) x) (.f64 (+.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 (tan.f64 x) x)))
	86.2%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x))
	50.7%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
	50.7%	(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
▶	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
✓	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
▶	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
▶	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
✓	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 480 to 261 computations (45.6% saved)

simplify449.0ms (3.6%)

Memory

19.8MiB live, 211.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)))
cost-diff	0	#s(approx (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (*.f64 x x))
cost-diff	0	(/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
cost-diff	0	(.f64 #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x)
cost-diff	0	(.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
cost-diff	320	(fma.f64 (.f64 #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x))
cost-diff	0	#s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)))
cost-diff	0	(.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
cost-diff	1088	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))

Rules

9 256×	`lower-fma.f32`
9 246×	`lower-fma.f64`
3 654×	`lower-*.f32`
3 638×	`lower-*.f64`
2 144×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	567
0	84	560
1	150	552
2	275	552
3	855	544
4	2454	531
5	4876	531
6	6250	531
7	7553	531
0	8248	519

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (.f64 #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x))
(.f64 #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x)
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -23/360 binary64)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (*.f64 x x))
#s(approx (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(*.f64 x x)
x
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)))
x
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(literal 1 binary64)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(*.f64 x x)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x #s(literal 1/6 binary64)) (.f64 x x))
(fma.f64 (.f64 #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x #s(literal 1/6 binary64)) x)
(.f64 #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x)
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -23/360 binary64)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (.f64 #s(approx (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) x)))
(/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (.f64 #s(approx (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) x))
(.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (*.f64 x x))
(.f64 (.f64 #s(approx (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) x) x)
#s(approx (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(*.f64 x x)
x
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
x
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(literal 1 binary64)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(*.f64 x x)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)

localize356.0ms (2.8%)

Memory

-0.7MiB live, 846.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)))
accuracy	0.19165994380427798	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
accuracy	0.38671875	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.19165994380427798	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
accuracy	0.21875	(.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (*.f64 x x))
accuracy	0.23503876953688402	(/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.3775939833199884	#s(approx (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64))
accuracy	0.12890625	(.f64 #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x)
accuracy	0.38671875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.52734375	(*.f64 #s(literal -23/360 binary64) x)
accuracy	0.6169684997621128	#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x))
accuracy	0	(/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)))
accuracy	0.1328125	(.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)
accuracy	0.19165994380427798	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
accuracy	0.7566297006503238	#s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
accuracy	0.01171875	(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.14453125	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
accuracy	0.19165994380427798	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))

Samples

203.0ms	163×	2	valid
81.0ms	88×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 445 to 51 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-mult: 60.0ms (26.3% of total)

ival-sin: 45.0ms (19.7% of total)

const: 41.0ms (17.9% of total)

adjust: 31.0ms (13.6% of total)

ival-div: 25.0ms (10.9% of total)

ival-add: 20.0ms (8.8% of total)

ival-sub: 4.0ms (1.8% of total)

ival-tan: 2.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory

11.6MiB live, 50.4MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x) (patch (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) (patch (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 (.f64 #s(approx (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (patch (.f64 #s(approx (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (patch #s(approx (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) (patch #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 (pow x 6)) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 (pow x 6)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 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 (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 (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) (patch #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -11/15120 (pow x 2)) 23/360)) (taylor 0 x) (#s(alt #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) (patch #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) (taylor 0 x) (#s(alt #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) (patch #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) (taylor 0 x) (#s(alt #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) (patch #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 5)) (taylor inf x) (#s(alt #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) (patch #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) (patch #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) (taylor inf x) (#s(alt #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) (patch #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) (taylor inf x) (#s(alt #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) (patch #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 5)) (taylor -inf x) (#s(alt #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) (patch #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) (patch #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) (patch #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) (patch #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* -23/360 x)
0.0ms	x	@	inf	(* -23/360 x)
0.0ms	x	@	0	(* -23/360 x)
0.0ms	x	@	-inf	(/ 1 (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x))
0.0ms	x	@	inf	(/ 1 (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x))

simplify163.0ms (1.3%)

Memory

-3.8MiB live, 313.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 910×	`lower-fma.f64`
14 910×	`lower-fma.f32`
5 072×	`lower-*.f64`
5 072×	`lower-*.f32`
3 454×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	3378
1	623	3348
2	1918	3314
3	5000	3276
0	8320	3118

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(/ -15120/11 (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ -15120/11 (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(/ -15120/11 (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ -15120/11 (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))) 1/36))
(* 121/228614400 (pow x 10))
(* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 10) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8)))))
(* 121/228614400 (pow x 10))
(* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 10) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8)))))
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36)
(- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))) 1/36)
(* 121/228614400 (pow x 8))
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 8) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8)))))
(* 121/228614400 (pow x 8))
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 8) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(/ 6 x)
(/ (+ 6 (* 23/10 (pow x 2))) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2))))))) x)
(/ -15120/11 (pow x 5))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 5))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 5))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 5))
(/ -15120/11 (pow x 5))
(* -1 (/ (- 15120/11 (* 14605920/121 (/ 1 (pow x 2)))) (pow x 5)))
(* -1 (/ (- (+ 15120/11 (/ 14528445120/1331 (pow x 4))) (* 14605920/121 (/ 1 (pow x 2)))) (pow x 5)))
(* -1 (/ (- (+ 15120/11 (/ 14528445120/1331 (pow x 4))) (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6))))) (pow x 5)))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* -11/15120 (pow x 6))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(* -11/15120 (pow x 6))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (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)
(pow x 2)
(*.f64 x 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)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 2)))
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1271/1400 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 90229/252000 binary64) (.f64 x x) #s(literal 1271/1400 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
(/ -15120/11 (pow x 4))
(/.f64 #s(literal -15120/11 binary64) (.f64 (.f64 (*.f64 x x) x) x))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal 14605920/121 binary64) (.f64 x x)) #s(literal 15120/11 binary64)) (.f64 (.f64 (.f64 x x) x) x))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (-.f64 #s(literal -15120/11 binary64) (/.f64 #s(literal 14528445120/1331 binary64) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 #s(literal -14605920/121 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 14439354088320/14641 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal -14605920/121 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 14528445120/1331 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 15120/11 binary64))) (.f64 (.f64 (.f64 x x) x) x))
(/ -15120/11 (pow x 4))
(/.f64 #s(literal -15120/11 binary64) (.f64 (.f64 (*.f64 x x) x) x))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal 14605920/121 binary64) (.f64 x x)) #s(literal 15120/11 binary64)) (.f64 (.f64 (.f64 x x) x) x))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (-.f64 #s(literal -15120/11 binary64) (/.f64 #s(literal 14528445120/1331 binary64) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 #s(literal -14605920/121 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 14439354088320/14641 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal -14605920/121 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 14528445120/1331 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 15120/11 binary64))) (.f64 (.f64 (.f64 x x) x) x))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
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(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 14439354088320/14641 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal -14605920/121 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 14528445120/1331 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 15120/11 binary64))) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* -11/15120 (pow x 5))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))))
(* -11/15120 (pow x 5))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 11/15120 binary64))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(* -11/15120 (pow x 4))
(.f64 (.f64 #s(literal -11/15120 binary64) x) (.f64 (.f64 x x) x))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 x x) x) x))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 x x) x) x))
(* -11/15120 (pow x 4))
(.f64 (.f64 #s(literal -11/15120 binary64) x) (.f64 (.f64 x x) x))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 x x) x) x))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (.f64 (.f64 (.f64 x x) x) x))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(* -11/15120 (pow x 2))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(* -11/15120 (pow x 2))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(* -143/604800 (pow x 5))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal -143/604800 binary64))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x)) #s(literal 143/604800 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (.f64 x x)) #s(literal 143/604800 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* -143/604800 (pow x 5))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal -143/604800 binary64))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x))
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))

rewrite198.0ms (1.6%)

Memory

-15.1MiB live, 425.8MiB allocated

Rules

4 826×	`lower-/.f32`
4 814×	`lower-/.f64`
4 712×	`lower-fma.f32`
4 702×	`lower-fma.f64`
4 444×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	507
0	84	500
1	336	456
2	1849	456
0	8249	439

Stop Event

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

Counts

25 → 567

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))
(fma.f64 (.f64 #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 #s(approx ( (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (*.f64 x x))
#s(approx (+ (* (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x))
(*.f64 #s(literal -23/360 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)

Outputs
(.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64))) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
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(-.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64)))))) (/.f64 #s(literal -1/216 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)))) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/36 binary64))) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/36 binary64))) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64))) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1/6 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64))) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(-.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x)) #s(literal -1/6 binary64))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x)))
(.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -23/360 binary64) (.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64) #s(literal -529/129600 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal 23/360 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64)) (.f64 (.f64 x x) x) #s(literal -12167/46656000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64) (-.f64 #s(literal 529/129600 binary64) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64) #s(literal -529/129600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal 23/360 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64)) (.f64 (.f64 x x) x) #s(literal -12167/46656000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 529/129600 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64)) (.f64 (.f64 x x) #s(literal 253/5443200 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64)) (.f64 (.f64 x x) x) #s(literal -12167/46656000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64) (-.f64 #s(literal 529/129600 binary64) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (fma.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal 23/360 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64)))) (neg.f64 (-.f64 #s(literal -23/360 binary64) (.f64 #s(literal -11/15120 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64) #s(literal -529/129600 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64)) (.f64 (.f64 x x) x) #s(literal -12167/46656000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) #s(literal 253/5443200 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64)) #s(literal 529/129600 binary64))) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64)) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal 23/360 binary64))))
(/.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64))) (-.f64 #s(literal -23/360 binary64) (.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64) #s(literal -529/129600 binary64))) (neg.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64)) (.f64 (.f64 x x) x) #s(literal -12167/46656000 binary64))) (neg.f64 (+.f64 #s(literal 529/129600 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64)) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64)) (.f64 (.f64 x x) x) #s(literal -12167/46656000 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) #s(literal 253/5443200 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64) #s(literal -529/129600 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64)) (.f64 (.f64 x x) x) #s(literal -12167/46656000 binary64)) (+.f64 #s(literal 529/129600 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64)) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64)) (.f64 (.f64 x x) x) #s(literal -12167/46656000 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) #s(literal 253/5443200 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -23/360 binary64) (.f64 #s(literal -11/15120 binary64) (.f64 x x))) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 529/129600 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64)) (.f64 (.f64 x x) #s(literal 253/5443200 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1331/3456649728000 binary64)) (.f64 (*.f64 x x) x) #s(literal -12167/46656000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 x (*.f64 #s(literal -11/15120 binary64) x) #s(literal -23/360 binary64))
(-.f64 (/.f64 #s(literal 529/129600 binary64) (-.f64 #s(literal -23/360 binary64) (.f64 #s(literal -11/15120 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64)) (-.f64 #s(literal -23/360 binary64) (.f64 #s(literal -11/15120 binary64) (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 121/228614400 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal 23/360 binary64))))
(+.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal -23/360 binary64))
(+.f64 #s(literal -23/360 binary64) (.f64 #s(literal -11/15120 binary64) (.f64 x x)))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x))
(*.f64 #s(literal -23/360 binary64) x)
(*.f64 x #s(literal -23/360 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))

eval160.0ms (1.3%)

Memory: 27.7MiB live, 419.5MiB allocated
Compiler: Compiled 36 895 to 2 415 computations (93.5% saved)

prune151.0ms (1.2%)

Memory

5.6MiB live, 363.5MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1 196	4	1 200
Fresh	1	6	7
Picked	3	2	5
Done	0	5	5
Total	1 200	17	1 217

Accuracy

100.0%

Counts

1 217 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.7%	(/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (tan.f64 x) x) (.f64 (+.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 (tan.f64 x) x)))
	86.2%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x))
	50.7%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
	50.7%	(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
✓	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
✓	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
✓	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
✓	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	15.2%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (+ (* (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) x) (* 1/6 x)) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (+.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) #s(literal 143/604800 binary64))))))

Compiler

Compiled 927 to 289 computations (68.8% saved)

regimes19.0ms (0.1%)

Memory

-7.4MiB live, 33.6MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) #s(approx (tan x) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x #s(literal -1/36 binary64)) (.f64 x x)))))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (+ (* (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) x) (* 1/6 x)) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (+.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) #s(literal 143/604800 binary64))))))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) x)) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))) x))
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (tan.f64 x) x) (.f64 (+.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 (tan.f64 x) x)))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))

Calls

2 calls:

9.0ms	x
8.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes9.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))

Calls

2 calls:

5.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes9.0ms (0.1%)

Memory

-28.3MiB live, 10.9MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (* (+ (* -11/15120 (* x x)) -23/360) x)) x) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes8.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes6.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes6.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes12.0ms (0.1%)

Memory

-27.8MiB live, 8.3MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x)) x) x (*.f64 #s(literal 1/6 binary64) x)) x))

Calls

2 calls:

8.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
3.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64)) x)))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Accuracy

Total -0.1b remaining (-11.5%)

Threshold costs -0.1b (-11.5%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

simplify6.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	261
1	96	261

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))

soundness754.0ms (6%)

Memory

-1.9MiB live, 513.0MiB allocated

Rules

18 358×	`lower-fma.f64`
18 358×	`lower-fma.f32`
14 434×	`lower-fma.f64`
14 434×	`lower-fma.f32`
5 844×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	408
1	301	384
2	829	384
3	2520	348
4	5523	342
0	8535	318
0	34	247
0	60	246
1	226	240
2	1573	240
0	8195	240
0	283	3880
1	859	3850
2	2606	3802
3	6512	3784
0	8131	3627

Stop Event

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

Compiler

Compiled 368 to 168 computations (54.3% saved)

preprocess77.0ms (0.6%)

Memory: 3.6MiB live, 118.8MiB allocated
Remove: (abs x)
Compiler: Compiled 398 to 152 computations (61.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

start0.0ms (0%)

analyze2.0ms (0%)

sample3.9s (31.2%)

explain230.0ms (1.8%)

preprocess73.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.2%)

localize107.0ms (0.9%)

series4.0ms (0%)

simplify452.0ms (3.6%)

rewrite202.0ms (1.6%)

eval113.0ms (0.9%)

prune82.0ms (0.7%)

simplify136.0ms (1.1%)

localize489.0ms (3.9%)

series27.0ms (0.2%)

simplify169.0ms (1.3%)

rewrite511.0ms (4.1%)

eval338.0ms (2.7%)

prune211.0ms (1.7%)

simplify166.0ms (1.3%)

localize699.0ms (5.6%)

series57.0ms (0.5%)

simplify289.0ms (2.3%)

rewrite573.0ms (4.6%)

eval595.0ms (4.7%)

prune688.0ms (5.5%)

simplify449.0ms (3.6%)

localize356.0ms (2.8%)

series18.0ms (0.1%)

simplify163.0ms (1.3%)

rewrite198.0ms (1.6%)

eval160.0ms (1.3%)

prune151.0ms (1.2%)

regimes19.0ms (0.1%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0%)

regimes12.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify6.0ms (0.1%)

soundness754.0ms (6%)

preprocess77.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16