Metrics for bug500 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 12 to 9 computations (25% saved)

sample1.2s (18.9%)

Memory

-184.9MiB live, 716.2MiB allocated

Samples

625.0ms	5 486×	1	valid
112.0ms	2 770×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 559.0ms

ival-sin: 353.0ms (63.2% of total)

ival-sub: 73.0ms (13.1% of total)

adjust: 70.0ms (12.5% of total)

ival-<: 39.0ms (7% of total)

ival-and: 11.0ms (2% of total)

exact: 11.0ms (2% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain72.0ms (1.1%)

Memory

10.3MiB live, 56.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
99	-	-	`(-.f64 (sin.f64 x) x)`
0	-	-	`(sin.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 x) x)`	cancellation	99	0

Confusion

	Predicted +	Predicted -
+	99	0
-	0	157

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	99	0	0
-	0	0	157

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	157
1	99

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms	348×	1	valid
6.0ms	164×	0	valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sin: 20.0ms (70.8% of total)

adjust: 4.0ms (14.2% of total)

ival-sub: 4.0ms (14.2% of total)

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

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

preprocess18.0ms (0.3%)

Memory

-25.4MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 4 to 3 computations (25% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.3%	(-.f64 (sin.f64 x) x)

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	7
0	5	7
1	7	7
2	12	7
3	18	7
4	26	7
5	41	7
6	74	7
7	100	7
8	143	7
9	160	7
10	172	7
0	172	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.4%)

Memory

18.4MiB live, 18.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(sin.f64 x)
accuracy	21.56641542587116	(-.f64 (sin.f64 x) x)

Samples

17.0ms	174×	1	valid
3.0ms	82×	0	valid

Compiler

Compiled 16 to 8 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sin: 10.0ms (70.9% of total)

adjust: 2.0ms (14.2% of total)

ival-sub: 2.0ms (14.2% of total)

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

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

series1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

2 → 24

Calls

Call 1

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

Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) 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 (* -1 x) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) 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>) () ())) ())

Calls

3 calls:

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

simplify115.0ms (1.8%)

Memory

2.7MiB live, 78.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	170
1	121	164
2	313	164
3	939	152
4	2033	140
5	3880	140
0	8027	128

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(sin x)
(sin x)
(sin x)
(sin x)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(sin x)
(sin x)
(sin x)
(sin x)

Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

rewrite144.0ms (2.2%)

Memory

-12.4MiB live, 103.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
0	5	6
1	20	6
2	148	6
3	1494	6
0	8322	6

Stop Event

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

Counts

2 → 174

Calls

Call 1

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

Outputs
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eval21.0ms (0.3%)

Memory: 25.9MiB live, 25.9MiB allocated
Compiler: Compiled 6 095 to 589 computations (90.3% saved)

prune12.0ms (0.2%)

Memory

-19.2MiB live, 18.2MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	189	8	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	189	9	198

Accuracy

99.7%

Counts

198 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.6%	(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
	66.3%	(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (sin.f64 x) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))))
▶	24.5%	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
▶	65.9%	(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
	24.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (.f64 x x))) (.f64 (/.f64 (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (sin.f64 x) x) (*.f64 x x))))
✓	66.3%	(-.f64 (sin.f64 x) x)
▶	97.4%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
	97.1%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	6.6%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 342 to 167 computations (51.2% saved)

simplify132.0ms (2%)

Memory

1.8MiB live, 87.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 3 binary64))
cost-diff	0	(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))
cost-diff	0	(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
cost-diff	6272	(-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 3 binary64))
cost-diff	0	(-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
cost-diff	13888	(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (sin x) x) (neg.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	351
0	66	351
1	122	351
2	307	351
3	1090	351
4	5762	343
0	8500	340

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
x
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 x x)
x
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
#s(literal 2 binary64)
(-.f64 (neg.f64 x) (sin.f64 x))
(neg.f64 x)
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(sin.f64 x)
x
#s(literal 3 binary64)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(+.f64 (sin.f64 x) x)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(sin.f64 x)
x
#s(literal 3 binary64)
(+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))
(pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64))
(*.f64 (+.f64 (sin.f64 x) x) x)
(+.f64 (sin.f64 x) x)
(pow.f64 (sin.f64 x) #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 3 binary64))
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))

Outputs
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
x
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(*.f64 (-.f64 x (sin.f64 x)) #s(literal -1 binary64))
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 x x)
x
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
#s(literal 2 binary64)
(-.f64 (neg.f64 x) (sin.f64 x))
(neg.f64 (+.f64 (sin.f64 x) x))
(neg.f64 x)
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(sin.f64 x)
x
#s(literal 3 binary64)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(+.f64 (sin.f64 x) x)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (sin.f64 x) (-.f64 x (sin.f64 x)) (.f64 x x)) (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64))))
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(sin.f64 x)
x
#s(literal 3 binary64)
(+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))
(+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64))
(*.f64 (+.f64 (sin.f64 x) x) x)
(+.f64 (sin.f64 x) x)
(pow.f64 (sin.f64 x) #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(fma.f64 (fma.f64 (sin.f64 x) (-.f64 x (sin.f64 x)) (.f64 x x)) (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(fma.f64 (sin.f64 x) (-.f64 x (sin.f64 x)) (*.f64 x x))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 3 binary64))
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))

localize198.0ms (3%)

Memory

2.0MiB live, 158.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.1302337890737681	(pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64))
accuracy	37.4632852366028	(/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
accuracy	41.27275904075556	(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))
accuracy	59.886693001838836	(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
accuracy	0.03515625	(pow.f64 (sin.f64 x) #s(literal 3 binary64))
accuracy	0.0546875	(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
accuracy	12.317601184102406	(-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	35.31631719498019	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
accuracy	0.0078125	(-.f64 (neg.f64 x) (sin.f64 x))
accuracy	0.01953125	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	5.062490287867861	(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
accuracy	16.02184351082162	(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
accuracy	0	(neg.f64 x)
accuracy	59.800563092167856	#s(approx (- (sin x) x) (neg.f64 x))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy	0.1640625	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	1.4878773774052991	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))

Samples

134.0ms	174×	1	valid
24.0ms	82×	0	valid

Compiler

Compiled 693 to 74 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-pow: 18.0ms (14.2% of total)

exact: 17.0ms (13.4% of total)

adjust: 15.0ms (11.8% of total)

ival-sin: 14.0ms (11.1% of total)

ival-mult: 13.0ms (10.3% of total)

ival-div: 11.0ms (8.7% of total)

ival-add: 11.0ms (8.7% of total)

ival-sub: 10.0ms (7.9% of total)

const: 10.0ms (7.9% of total)

ival-pow2: 4.0ms (3.2% of total)

ival-neg: 3.0ms (2.4% of total)

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

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

series30.0ms (0.5%)

Memory

-13.3MiB live, 24.4MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) (patch (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (patch (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 x) (sin.f64 x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (patch (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #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 (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 4)) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/3 (* -2/45 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45)))) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow x 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (* 13/120 (pow x 2)) 1/2)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (* (pow x 2) (+ 13/120 (* (pow x 2) (- (* 671/604800 (pow x 2)) 41/3024)))) 1/2)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (* -1/2 (pow x 2)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* -13/360 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/336 (pow x 2)) 13/360)))))) (taylor 0 x) (#s(alt (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) (patch (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) (patch (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (* 2 (sin x)))) x)) (pow (sin x) 3)) (pow x 6)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (patch (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow (sin x) 3) (+ (* -2 (pow (sin x) 2)) (* -1 (pow (sin x) 2)))) x)) (* -1 (/ (* (pow (sin x) 3) (pow (+ (sin x) (* 2 (sin x))) 2)) x))) (* -1 (* (pow (sin x) 3) (+ (sin x) (* 2 (sin x)))))) x)) (pow (sin x) 3)) (pow x 6)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (patch (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (sin.f64 x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ (sin x) x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (sin.f64 x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (sin x) x) 1))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 3) x)) (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (sin x)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor -inf x) (#s(alt (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (patch (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1 (+ (* 2 (/ (sin x) x)) (/ (sin x) x)))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (patch (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1 (* -1 (/ (+ (* -2 (/ (pow (sin x) 2) x)) (+ (* -1 (+ (sin x) (* 2 (sin x)))) (* -1 (/ (pow (sin x) 2) x)))) x)))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (patch (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1 (* -1 (/ (+ (* -1 (+ (sin x) (* 2 (sin x)))) (* -1 (/ (+ (* -1 (+ (* -2 (pow (sin x) 2)) (* -1 (pow (sin x) 2)))) (/ (pow (sin x) 3) x)) x))) x)))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (patch (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (neg x) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (- (* x x) (pow (sin x) 2)) (pow (sin x) 2) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (- (pow (sin x) 3) (pow x 3)) (pow (sin x) 3) (sin x) (- (* (+ (sin x) x) x) (pow (sin x) 2)) (+ (* (/ (pow (sin x) 3) (+ (pow (* (+ (sin x) x) x) 3) (pow (sin x) 6))) (+ (* (* (+ (sin x) x) x) (- (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (sin x) 4))) (neg (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))))) (/ (pow (sin x) 3) (+ (pow (* (+ (sin x) x) x) 3) (pow (sin x) 6))) (- (neg x) (sin x)) (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (* (+ (sin x) x) x) 3))
6.0ms	x	@	inf	((- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (neg x) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (- (* x x) (pow (sin x) 2)) (pow (sin x) 2) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (- (pow (sin x) 3) (pow x 3)) (pow (sin x) 3) (sin x) (- (* (+ (sin x) x) x) (pow (sin x) 2)) (+ (* (/ (pow (sin x) 3) (+ (pow (* (+ (sin x) x) x) 3) (pow (sin x) 6))) (+ (* (* (+ (sin x) x) x) (- (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (sin x) 4))) (neg (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))))) (/ (pow (sin x) 3) (+ (pow (* (+ (sin x) x) x) 3) (pow (sin x) 6))) (- (neg x) (sin x)) (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (* (+ (sin x) x) x) 3))
5.0ms	x	@	0	((- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (neg x) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (- (* x x) (pow (sin x) 2)) (pow (sin x) 2) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (- (pow (sin x) 3) (pow x 3)) (pow (sin x) 3) (sin x) (- (* (+ (sin x) x) x) (pow (sin x) 2)) (+ (* (/ (pow (sin x) 3) (+ (pow (* (+ (sin x) x) x) 3) (pow (sin x) 6))) (+ (* (* (+ (sin x) x) x) (- (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (sin x) 4))) (neg (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))))) (/ (pow (sin x) 3) (+ (pow (* (+ (sin x) x) x) 3) (pow (sin x) 6))) (- (neg x) (sin x)) (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (* (+ (sin x) x) x) 3))

Time

Variable

Point

Expression

7.0ms

-inf

((- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (neg x) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (- (* x x) (pow (sin x) 2)) (pow (sin x) 2) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (- (pow (sin x) 3) (pow x 3)) (pow (sin x) 3) (sin x) (- (* (+ (sin x) x) x) (pow (sin x) 2)) (+ (* (/ (pow (sin x) 3) (+ (pow (* (+ (sin x) x) x) 3) (pow (sin x) 6))) (+ (* (* (+ (sin x) x) x) (- (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (sin x) 4))) (neg (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))))) (/ (pow (sin x) 3) (+ (pow (* (+ (sin x) x) x) 3) (pow (sin x) 6))) (- (neg x) (sin x)) (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (* (+ (sin x) x) x) 3))

6.0ms

inf

((- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (neg x) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (- (* x x) (pow (sin x) 2)) (pow (sin x) 2) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (- (pow (sin x) 3) (pow x 3)) (pow (sin x) 3) (sin x) (- (* (+ (sin x) x) x) (pow (sin x) 2)) (+ (* (/ (pow (sin x) 3) (+ (pow (* (+ (sin x) x) x) 3) (pow (sin x) 6))) (+ (* (* (+ (sin x) x) x) (- (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (sin x) 4))) (neg (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))))) (/ (pow (sin x) 3) (+ (pow (* (+ (sin x) x) x) 3) (pow (sin x) 6))) (- (neg x) (sin x)) (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (* (+ (sin x) x) x) 3))

5.0ms

((- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (neg x) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (- (* x x) (pow (sin x) 2)) (pow (sin x) 2) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (- (pow (sin x) 3) (pow x 3)) (pow (sin x) 3) (sin x) (- (* (+ (sin x) x) x) (pow (sin x) 2)) (+ (* (/ (pow (sin x) 3) (+ (pow (* (+ (sin x) x) x) 3) (pow (sin x) 6))) (+ (* (* (+ (sin x) x) x) (- (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (sin x) 4))) (neg (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))))) (/ (pow (sin x) 3) (+ (pow (* (+ (sin x) x) x) 3) (pow (sin x) 6))) (- (neg x) (sin x)) (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (* (+ (sin x) x) x) 3))

simplify136.0ms (2.1%)

Memory

23.9MiB live, 103.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	455	2677
1	1426	2513
2	5067	2362
0	8245	2237

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 237

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/3 (pow x 4))
(* (pow x 4) (+ 1/3 (* -2/45 (pow x 2))))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45))))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/2 (pow x 5))
(* (pow x 5) (- (* 13/120 (pow x 2)) 1/2))
(* (pow x 5) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))
(* (pow x 5) (- (* (pow x 2) (+ 13/120 (* (pow x 2) (- (* 671/604800 (pow x 2)) 41/3024)))) 1/2))
(pow x 3)
(* (pow x 3) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/6 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* -13/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/336 (pow x 2)) 13/360))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(/ 1/9 (pow x 3))
(/ (+ 1/9 (* -1/54 (pow x 2))) (pow x 3))
(/ (+ 1/9 (* (pow x 2) (- (* -31/9720 (pow x 2)) 1/54))) (pow x 3))
(/ (+ 1/9 (* (pow x 2) (- (* (pow x 2) (- (* 41/45360 (pow x 2)) 31/9720)) 1/54))) (pow x 3))
(* -2 x)
(* x (- (* 1/6 (pow x 2)) 2))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 2))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 2))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 3 (* (pow x 2) (- (* 19/360 (pow x 2)) 1/2))))
(* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 19/360 (* -17/5040 (pow x 2)))) 1/2))))
(* 1/3 x)
(* x (+ 1/3 (* 1/18 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))))
(* 8 (pow x 6))
(* (pow x 6) (+ 8 (* -2 (pow x 2))))
(* (pow x 6) (+ 8 (* (pow x 2) (- (* 4/15 (pow x 2)) 2))))
(* (pow x 6) (+ 8 (* (pow x 2) (- (* (pow x 2) (+ 4/15 (* -179/7560 (pow x 2)))) 2))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2))) (+ 1 (* -1 (/ (sin x) x)))))
(* x (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (pow x 3)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ (pow (sin x) 3) (pow x 3)) 1))
(* (pow x 3) (- (/ (pow (sin x) 3) (pow x 3)) 1))
(* (pow x 3) (- (/ (pow (sin x) 3) (pow x 3)) 1))
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(sin x)
(sin x)
(sin x)
(sin x)
(pow x 2)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(* (pow x 2) (+ 1 (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (/ (sin x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (/ (sin x) x))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))) 1))
(* x (- (+ (* -1 (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (pow x 3))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (* -1 (/ (pow (sin x) 3) (pow x 3))) (+ (/ (sin x) x) (+ (/ (pow (sin x) 2) (pow x 2)) (/ (pow (sin x) 3) (pow x 3))))))) 1))
(/ (pow (sin x) 3) (pow x 6))
(/ (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (* 2 (sin x)))) x)) (pow (sin x) 3)) (pow x 6))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow (sin x) 3) (pow (+ (sin x) (* 2 (sin x))) 2))) (* (pow (sin x) 3) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))) (pow x 2))) (pow (sin x) 3)) (/ (* (pow (sin x) 3) (+ (sin x) (* 2 (sin x)))) x)) (pow x 6))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ (sin x) (* 2 (sin x))) (+ (* -1 (* (pow (sin x) 3) (pow (+ (sin x) (* 2 (sin x))) 2))) (* (pow (sin x) 3) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))))) (+ (* -1 (* (pow (sin x) 3) (* (+ (sin x) (* 2 (sin x))) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2))))) (pow (sin x) 6))) (pow x 3))) (pow (sin x) 3)) (+ (* -1 (/ (* (pow (sin x) 3) (pow (+ (sin x) (* 2 (sin x))) 2)) (pow x 2))) (+ (/ (* (pow (sin x) 3) (+ (sin x) (* 2 (sin x)))) x) (/ (* (pow (sin x) 3) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2))) (pow x 2))))) (pow x 6))
(* -1 x)
(* x (- (* -1 (/ (sin x) x)) 1))
(* x (- (* -1 (/ (sin x) x)) 1))
(* x (- (* -1 (/ (sin x) x)) 1))
(pow x 2)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2)))) (/ (sin x) x)))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)))) (* -1 (pow (sin x) 3))) (pow x 3)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2))))))
(pow x 6)
(* (pow x 6) (+ 1 (+ (* 2 (/ (sin x) x)) (/ (sin x) x))))
(* (pow x 6) (+ 1 (+ (* 2 (/ (sin x) x)) (+ (* 2 (/ (pow (sin x) 2) (pow x 2))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))))
(* (pow x 6) (+ 1 (+ (* 2 (/ (sin x) x)) (+ (* 2 (/ (pow (sin x) 2) (pow x 2))) (+ (/ (sin x) x) (+ (/ (pow (sin x) 2) (pow x 2)) (/ (pow (sin x) 3) (pow x 3))))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(sin x)
(sin x)
(sin x)
(sin x)
(pow x 2)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (/ (pow (sin x) 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (/ (pow (sin x) 2) x)) x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(/ (pow (sin x) 3) (pow x 6))
(/ (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (* 2 (sin x)))) x)) (pow (sin x) 3)) (pow x 6))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow (sin x) 3) (+ (* -2 (pow (sin x) 2)) (* -1 (pow (sin x) 2)))) x)) (* -1 (/ (* (pow (sin x) 3) (pow (+ (sin x) (* 2 (sin x))) 2)) x))) (* -1 (* (pow (sin x) 3) (+ (sin x) (* 2 (sin x)))))) x)) (pow (sin x) 3)) (pow x 6))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow (sin x) 3) (* (+ (sin x) (* 2 (sin x))) (+ (* -2 (pow (sin x) 2)) (* -1 (pow (sin x) 2))))) x)) (+ (* -1 (/ (pow (sin x) 6) x)) (/ (* (+ (sin x) (* 2 (sin x))) (+ (* -1 (* (pow (sin x) 3) (+ (* -2 (pow (sin x) 2)) (* -1 (pow (sin x) 2))))) (* -1 (* (pow (sin x) 3) (pow (+ (sin x) (* 2 (sin x))) 2))))) x))) (+ (* -1 (* (pow (sin x) 3) (+ (* -2 (pow (sin x) 2)) (* -1 (pow (sin x) 2))))) (* -1 (* (pow (sin x) 3) (pow (+ (sin x) (* 2 (sin x))) 2))))) x)) (* -1 (* (pow (sin x) 3) (+ (sin x) (* 2 (sin x)))))) x)) (pow (sin x) 3)) (pow x 6))
(* -1 x)
(* -1 (* x (+ 1 (/ (sin x) x))))
(* -1 (* x (+ 1 (/ (sin x) x))))
(* -1 (* x (+ 1 (/ (sin x) x))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 3) x)) (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (sin x)) x)) 1)))
(pow x 6)
(* (pow x 6) (+ 1 (+ (* 2 (/ (sin x) x)) (/ (sin x) x))))
(* (pow x 6) (+ 1 (* -1 (/ (+ (* -2 (/ (pow (sin x) 2) x)) (+ (* -1 (+ (sin x) (* 2 (sin x)))) (* -1 (/ (pow (sin x) 2) x)))) x))))
(* (pow x 6) (+ 1 (* -1 (/ (+ (* -1 (+ (sin x) (* 2 (sin x)))) (* -1 (/ (+ (* -1 (+ (* -2 (pow (sin x) 2)) (* -1 (pow (sin x) 2)))) (/ (pow (sin x) 3) x)) x))) x))))

Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* 1/3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/3 (* -2/45 (pow x 2))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/315 binary64) (.f64 x x) #s(literal -2/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/14175 binary64) (.f64 x x) #s(literal 1/315 binary64)) (.f64 x x) #s(literal -2/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* -1/2 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(* (pow x 5) (- (* 13/120 (pow x 2)) 1/2))
(.f64 (fma.f64 #s(literal 13/120 binary64) (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 5 binary64)))
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(.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64))) x) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64))) x) (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) 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)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x)) (.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x)) (.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x)) (.f64 x x))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) x x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (/ (pow (sin x) 2) x)) x))))
(*.f64 x (fma.f64 x (/.f64 (-.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x)) x) x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (/ (pow (sin x) 2) x)) x))))
(*.f64 x (fma.f64 x (/.f64 (-.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x)) x) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(/ (pow (sin x) 3) (pow x 6))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* -1 (/ (* (pow (sin x) 3) (+ (sin x) (* 2 (sin x)))) x)) (pow (sin x) 3)) (pow x 6))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow (sin x) 3) (+ (* -2 (pow (sin x) 2)) (* -1 (pow (sin x) 2)))) x)) (* -1 (/ (* (pow (sin x) 3) (pow (+ (sin x) (* 2 (sin x))) 2)) x))) (* -1 (* (pow (sin x) 3) (+ (sin x) (* 2 (sin x)))))) x)) (pow (sin x) 3)) (pow x 6))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 3 binary64)))) x)) x)) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow (sin x) 3) (* (+ (sin x) (* 2 (sin x))) (+ (* -2 (pow (sin x) 2)) (* -1 (pow (sin x) 2))))) x)) (+ (* -1 (/ (pow (sin x) 6) x)) (/ (* (+ (sin x) (* 2 (sin x))) (+ (* -1 (* (pow (sin x) 3) (+ (* -2 (pow (sin x) 2)) (* -1 (pow (sin x) 2))))) (* -1 (* (pow (sin x) 3) (pow (+ (sin x) (* 2 (sin x))) 2))))) x))) (+ (* -1 (* (pow (sin x) 3) (+ (* -2 (pow (sin x) 2)) (* -1 (pow (sin x) 2))))) (* -1 (* (pow (sin x) 3) (pow (+ (sin x) (* 2 (sin x))) 2))))) x)) (* -1 (* (pow (sin x) 3) (+ (sin x) (* 2 (sin x)))))) x)) (pow (sin x) 3)) (pow x 6))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (/.f64 (+.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) (sin.f64 x)) (.f64 #s(literal -3 binary64) (pow.f64 (sin.f64 x) #s(literal 5 binary64)))) x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) x)) (.f64 (.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64) #s(literal -1 binary64)))) (neg.f64 x))) x)) (pow.f64 x #s(literal 6 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ (sin x) x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) x)
(* -1 (* x (+ 1 (/ (sin x) x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) x)
(* -1 (* x (+ 1 (/ (sin x) x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) x x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))
(.f64 x (fma.f64 x (/.f64 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64))) x) x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))
(.f64 x (fma.f64 x (/.f64 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64))) x) x))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 3) x)) (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (sin x)) x)) 1)))
(*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) x)
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (+ 1 (+ (* 2 (/ (sin x) x)) (/ (sin x) x))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1 (* -1 (/ (+ (* -2 (/ (pow (sin x) 2) x)) (+ (* -1 (+ (sin x) (* 2 (sin x)))) (* -1 (/ (pow (sin x) 2) x)))) x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) #s(literal -3 binary64) (.f64 #s(literal -3 binary64) (sin.f64 x))) x)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1 (* -1 (/ (+ (* -1 (+ (sin x) (* 2 (sin x)))) (* -1 (/ (+ (* -1 (+ (* -2 (pow (sin x) 2)) (* -1 (pow (sin x) 2)))) (/ (pow (sin x) 3) x)) x))) x))))
(.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 3 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (/.f64 (sin.f64 x) x) #s(literal -3 binary64))) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)))

rewrite183.0ms (2.8%)

Memory

-13.4MiB live, 143.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	224
0	66	219
1	290	199
2	2485	198
0	9231	198

Stop Event

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

Counts

20 → 826

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(sin.f64 x)
(-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))
(-.f64 (neg.f64 x) (sin.f64 x))
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64))

Outputs
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eval200.0ms (3.1%)

Memory: 28.0MiB live, 213.7MiB allocated
Compiler: Compiled 62 084 to 3 337 computations (94.6% saved)

prune44.0ms (0.7%)

Memory

12.8MiB live, 91.6MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 474	17	1 491
Fresh	2	1	3
Picked	3	2	5
Done	0	1	1
Total	1 479	21	1 500

Accuracy

100.0%

Counts

1 500 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(fma.f64 (+.f64 (sin.f64 x) x) (.f64 (.f64 (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64))))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 7 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
	66.3%	(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (sin.f64 x) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))))
	49.1%	(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x)))
	65.9%	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (sin.f64 x) x))
	58.2%	(/.f64 (-.f64 (*.f64 x x) (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
	3.8%	(/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 x x) (-.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x))))
▶	41.4%	(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
	89.3%	(/.f64 #s(approx (- (* x x) (pow (sin x) 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
✓	66.3%	(-.f64 (sin.f64 x) x)
	97.1%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	66.3%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
	97.4%	#s(approx (- (sin x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
▶	45.5%	#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
▶	97.5%	#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
✓	97.4%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
▶	97.4%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
	54.8%	#s(approx (- (sin x) x) (.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 3 binary64))))
✓	6.6%	#s(approx (- (sin x) x) (neg.f64 x))
	41.0%	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 656 to 389 computations (40.7% saved)

simplify107.0ms (1.7%)

Memory

-10.8MiB live, 77.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 5 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
cost-diff	0	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
cost-diff	6784	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
cost-diff	0	(/.f64 (sin.f64 x) x)
cost-diff	0	(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
cost-diff	1024	(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 x x))
cost-diff	192	(+.f64 #s(literal 0 binary64) x)
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
cost-diff	0	(fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	(/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	293
0	83	284
1	137	276
2	303	268
3	816	264
4	1624	260
5	3125	260
6	5019	260
0	8111	260

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
#s(literal 1/14400 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
#s(literal 0 binary64)
(*.f64 x x)
x
(+.f64 #s(literal 0 binary64) x)
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
#s(literal 1 binary64)
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
#s(literal -1/2 binary64)
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(+.f64 (sin.f64 x) x)
(sin.f64 x)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))
(fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))
#s(literal 1/14400 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (neg.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(neg.f64 x)
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) x)
#s(literal 0 binary64)
(*.f64 x x)
x
(+.f64 #s(literal 0 binary64) x)
x
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (-.f64 (sin.f64 x) x))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(-.f64 (sin.f64 x) x)
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
#s(literal 1 binary64)
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
#s(literal -1/2 binary64)
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(+.f64 (sin.f64 x) x)
(sin.f64 x)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)

localize218.0ms (3.3%)

Memory

-28.5MiB live, 164.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.0546875	(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
accuracy	1.8063049636498967	#s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64)))
accuracy	35.31631719498019	(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
accuracy	0.00390625	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	0.154628759768442	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
accuracy	0.29296875	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
accuracy	1.4878773774052991	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
accuracy	0	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
accuracy	0.01171875	(/.f64 (sin.f64 x) x)
accuracy	0.10546875	(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
accuracy	32.471297677497084	(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
accuracy	0	(+.f64 #s(literal 0 binary64) x)
accuracy	0	(*.f64 x x)
accuracy	25.271032458174332	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
accuracy	59.800563092167856	#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
accuracy	0.015625	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.15625	(*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.17873002930532603	(/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
accuracy	1.4878773774052991	#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))

Samples

163.0ms	219×	1	valid
17.0ms	37×	0	valid

Compiler

Compiled 488 to 89 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

adjust: 26.0ms (17.9% of total)

const: 25.0ms (17.2% of total)

ival-pow: 23.0ms (15.8% of total)

ival-mult: 20.0ms (13.8% of total)

ival-sin: 13.0ms (8.9% of total)

ival-div: 12.0ms (8.3% of total)

ival-add: 12.0ms (8.3% of total)

ival-sub: 8.0ms (5.5% of total)

ival-pow2: 5.0ms (3.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series25.0ms (0.4%)

Memory

26.3MiB live, 26.3MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#s(alt #s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (.f64 x x)) (patch (-.f64 #s(literal 0 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 0 binary64) x))) (patch #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 0 binary64) x))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ ( (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) (patch #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64)) (patch (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

-inf

((- (sin x) x) (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/14400 (pow x 4)) -1/36) (/ (- 0 (* x x)) (+ 0 x)) (+ 0 x) (- 0 (* x x)) (- (sin x) x) (* (- (/ (sin x) x) 1) x) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (- (/ (sin x) x) 1) (/ (sin x) x) (* (pow x 3/2) (* (pow x 3/2) (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (pow x 3/2) (* (pow x 3/2) (+ (* 1/120 (* x x)) -1/6)) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (- (pow (sin x) 3) (pow x 3)) (* (pow x 5) -1/2) (pow x 5) (+ (* 1/120 (* x x)) 1/6) (* x x) (+ (* 1/120 (* x x)) -1/6) (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (pow (sin x) 2))

5.0ms

inf

((- (sin x) x) (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/14400 (pow x 4)) -1/36) (/ (- 0 (* x x)) (+ 0 x)) (+ 0 x) (- 0 (* x x)) (- (sin x) x) (* (- (/ (sin x) x) 1) x) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (- (/ (sin x) x) 1) (/ (sin x) x) (* (pow x 3/2) (* (pow x 3/2) (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (pow x 3/2) (* (pow x 3/2) (+ (* 1/120 (* x x)) -1/6)) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (- (pow (sin x) 3) (pow x 3)) (* (pow x 5) -1/2) (pow x 5) (+ (* 1/120 (* x x)) 1/6) (* x x) (+ (* 1/120 (* x x)) -1/6) (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (pow (sin x) 2))

3.0ms

((- (sin x) x) (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/14400 (pow x 4)) -1/36) (/ (- 0 (* x x)) (+ 0 x)) (+ 0 x) (- 0 (* x x)) (- (sin x) x) (* (- (/ (sin x) x) 1) x) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (- (/ (sin x) x) 1) (/ (sin x) x) (* (pow x 3/2) (* (pow x 3/2) (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (pow x 3/2) (* (pow x 3/2) (+ (* 1/120 (* x x)) -1/6)) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (- (pow (sin x) 3) (pow x 3)) (* (pow x 5) -1/2) (pow x 5) (+ (* 1/120 (* x x)) 1/6) (* x x) (+ (* 1/120 (* x x)) -1/6) (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (pow (sin x) 2))

simplify129.0ms (2%)

Memory

13.6MiB live, 91.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	2284
1	647	2237
2	2045	2207
3	4996	2007
0	8320	1898

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 288

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* -1/36 (pow x 3))
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36))
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36))
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36))
-1/36
(- (* 1/14400 (pow x 4)) 1/36)
(- (* 1/14400 (pow x 4)) 1/36)
(- (* 1/14400 (pow x 4)) 1/36)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
x
x
x
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* -1/6 (sqrt (pow x 3)))
(* x (+ (* -1/6 (sqrt x)) (* 1/120 (sqrt (pow x 5)))))
(* x (+ (* -1/6 (sqrt x)) (* 1/120 (sqrt (pow x 5)))))
(* x (+ (* -1/6 (sqrt x)) (* 1/120 (sqrt (pow x 5)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/2 (pow x 5))
(* (pow x 5) (- (* 13/120 (pow x 2)) 1/2))
(* (pow x 5) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))
(* (pow x 5) (- (* (pow x 2) (+ 13/120 (* (pow x 2) (- (* 671/604800 (pow x 2)) 41/3024)))) 1/2))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 3 (* (pow x 2) (- (* 19/360 (pow x 2)) 1/2))))
(* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 19/360 (* -17/5040 (pow x 2)))) 1/2))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/14400 (pow x 7))
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* 1/14400 (pow x 4))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
x
x
x
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2))) (+ 1 (* -1 (/ (sin x) x)))))
(* x (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (pow x 3)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
-1
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* 1/120 (sqrt (pow x 7)))
(* (pow x 4) (+ (* -1/6 (sqrt (/ 1 (pow x 5)))) (* 1/120 (sqrt (/ 1 x)))))
(* (pow x 4) (+ (* -1/6 (sqrt (/ 1 (pow x 5)))) (* 1/120 (sqrt (/ 1 x)))))
(* (pow x 4) (+ (* -1/6 (sqrt (/ 1 (pow x 5)))) (* 1/120 (sqrt (/ 1 x)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2))) (+ 1 (* -1 (/ (sin x) x)))))
(* x (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (pow x 3)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ (pow (sin x) 3) (pow x 3)) 1))
(* (pow x 3) (- (/ (pow (sin x) 3) (pow x 3)) 1))
(* (pow x 3) (- (/ (pow (sin x) 3) (pow x 3)) 1))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/14400 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400)))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400)))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400)))
(* 1/14400 (pow x 4))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
x
x
x
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
-1
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* -1/120 (* (pow x 5) (pow (sqrt -1) 2)))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/120 (pow (sqrt -1) 2)))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/120 (pow (sqrt -1) 2)))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/120 (pow (sqrt -1) 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* 1/120 (* (sqrt (pow x 7)) (pow (sqrt -1) 2)))
(* (pow x 4) (+ (* -1/6 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/120 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 4) (+ (* -1/6 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/120 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 4) (+ (* -1/6 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/120 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)

Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/36 (pow x 3))
(*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
-1/36
#s(literal -1/36 binary64)
(- (* 1/14400 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))
(- (* 1/14400 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))
(- (* 1/14400 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
x
x
x
x
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
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(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(*.f64 (+.f64 (sin.f64 x) x) x)
(* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* 1/14400 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/14400 binary64))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400)))
(*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400)))
(*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400)))
(*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/14400 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
x
x
x
x
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(-.f64 (sin.f64 x) x)
-1
#s(literal -1 binary64)
(- (/ (sin x) x) 1)
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(- (/ (sin x) x) 1)
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(- (/ (sin x) x) 1)
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(* -1/120 (* (pow x 5) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/120 (pow (sqrt -1) 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/120 (pow (sqrt -1) 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/120 (pow (sqrt -1) 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* 1/120 (* (sqrt (pow x 7)) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/120 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64))))
(* (pow x 4) (+ (* -1/6 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/120 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1/6 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/120 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1/6 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/120 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/2 (pow x 5))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1/2 (pow x 5))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1/2 (pow x 5))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1/2 (pow x 5))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 5 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(*.f64 (+.f64 (sin.f64 x) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))

rewrite136.0ms (2.1%)

Memory

0.7MiB live, 112.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	254
0	83	251
1	308	200
2	2391	200
0	8511	200

Stop Event

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

Counts

25 → 778

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) (*.f64 x x))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) x)
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(pow.f64 x #s(literal 3/2 binary64))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 5 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))

Outputs
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eval165.0ms (2.5%)

Memory: -36.2MiB live, 170.9MiB allocated
Compiler: Compiled 24 039 to 3 572 computations (85.1% saved)

prune40.0ms (0.6%)

Memory

1.7MiB live, 80.5MiB allocated

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1 218	13	1 231
Fresh	7	6	13
Picked	4	1	5
Done	0	3	3
Total	1 229	23	1 252

Accuracy

100.0%

Counts

1 252 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(fma.f64 (+.f64 (sin.f64 x) x) (.f64 (.f64 (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64))))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 7 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
	3.8%	(/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 x x) (-.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x))))
▶	41.4%	(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)))
	89.3%	(/.f64 #s(approx (- (* x x) (pow (sin x) 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
✓	66.3%	(-.f64 (sin.f64 x) x)
	24.5%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (.f64 x x)))
	97.1%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
✓	66.3%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
	66.2%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) #s(literal 1 binary64)) x))
	64.3%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (-.f64 #s(approx (/ (sin x) x) (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))) #s(literal 1 binary64)) x))
▶	62.6%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
	65.8%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (expm1.f64 (.f64 (log.f64 (/.f64 x (sin.f64 x))) #s(literal -1 binary64))) x))
▶	97.7%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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))
	97.7%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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) x)) x))
▶	97.4%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x))
	97.1%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
	61.9%	#s(approx (- (sin x) x) (/.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)))
▶	97.7%	#s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
✓	97.4%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
✓	6.6%	#s(approx (- (sin x) x) (neg.f64 x))
	41.0%	#s(approx (- (sin x) x) #s(approx (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 703 to 430 computations (38.8% saved)

simplify140.0ms (2.2%)

Memory

7.2MiB live, 89.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal 5 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)))
cost-diff	0	(.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)
cost-diff	0	#s(approx (- (/ (sin x) x) 1) (.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))
cost-diff	0	(.f64 #s(approx (- (/ (sin x) x) 1) (.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)
cost-diff	0	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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))
cost-diff	0	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
cost-diff	0	#s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x))
cost-diff	0	(.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x)
cost-diff	0	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x))
cost-diff	0	#s(approx (/ (sin x) x) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64))
cost-diff	0	(.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	(/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	576
0	95	576
1	162	576
2	278	576
3	627	576
4	1271	576
5	2275	576
6	3087	576
7	4254	576
8	4949	576
9	6448	576
0	8008	567

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
#s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x))
(.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x)
#s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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))
(.f64 #s(approx (- (/ (sin x) x) 1) (.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)
#s(approx (- (/ (sin x) x) 1) (.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))
(.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)
(.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)
(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))
(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))
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
#s(literal 1/362880 binary64)
(*.f64 x x)
x
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)))
#s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
#s(literal -1/2 binary64)
#s(approx (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64))
(fma.f64 #s(literal 19/360 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 19/360 binary64)
(*.f64 x x)
#s(literal 3 binary64)

Outputs
#s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)))
#s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x))
(.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x)
#s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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))
(.f64 #s(approx (- (/ (sin x) x) 1) (.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)
#s(approx (- (/ (sin x) x) 1) (.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))
(.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)
(.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)
(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))
(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))
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
#s(literal 1/362880 binary64)
(*.f64 x x)
x
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)))
#s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
#s(literal -1/2 binary64)
#s(approx (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64))
(fma.f64 #s(literal 19/360 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 19/360 binary64)
(*.f64 x x)
#s(literal 3 binary64)

localize269.0ms (4.1%)

Memory

20.6MiB live, 213.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 3 binary64)) x)
accuracy	1.3712806462188736	#s(approx (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x))
accuracy	1.8063049636498967	#s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64)))
accuracy	35.31631719498019	(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)))
accuracy	0.10546875	(.f64 #s(approx (- (/ (sin x) x) 1) (.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)
accuracy	0.140625	(.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)
accuracy	0.3828125	(.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)
accuracy	1.3235363652412397	#s(approx (- (/ (sin x) x) 1) (.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))
accuracy	0.10546875	(.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x)
accuracy	0.12890625	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
accuracy	0.390625	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
accuracy	1.4855615211151858	#s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x))
accuracy	0	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
accuracy	0.10546875	(*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
accuracy	1.8342031496036313	#s(approx (/ (sin x) x) #s(literal 1 binary64))
accuracy	32.471297677497084	(-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.15625	(.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.17873002930532603	(/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy	1.4878773774052991	#s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
accuracy	1.4953244535548376	#s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64))

Samples

174.0ms	202×	1	valid
17.0ms	8×	2	valid
16.0ms	37×	0	valid
15.0ms	9×	3	valid

Compiler

Compiled 794 to 103 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-mult: 43.0ms (23.3% of total)

const: 39.0ms (21.2% of total)

adjust: 24.0ms (13% of total)

ival-sin: 21.0ms (11.4% of total)

ival-add: 19.0ms (10.3% of total)

ival-pow: 14.0ms (7.6% of total)

ival-div: 10.0ms (5.4% of total)

ival-sub: 7.0ms (3.8% of total)

ival-pow2: 5.0ms (2.7% of total)

exact: 1.0ms (0.5% of total)

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

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

series28.0ms (0.4%)

Memory

-13.1MiB live, 24.5MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (patch #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ ( (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin x) x) #s(literal 1 binary64)) (patch #s(approx (/ (sin x) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x)) (patch #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x) (patch (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) (patch #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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)) (patch #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- (/ (sin x) x) 1) (.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) (patch (.f64 #s(approx (- (/ (sin x) x) 1) (.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) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (sin x) x) 1) (.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)) (patch #s(approx (- (/ (sin x) x) 1) (.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)) #<representation binary64>) () ())
#s(alt (.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) (patch (.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) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x))) (patch (/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) (patch #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64)) (patch (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (.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) (patch (.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) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)) (patch #s(approx (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) #<representation binary64>) () ())

Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/36 (pow x 3)) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36)) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/36 (taylor 0 x) (#s(alt #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (patch #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/14400 (pow x 4)) 1/36) (taylor 0 x) (#s(alt #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (patch #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/14400 (pow x 4)) 1/36) (taylor 0 x) (#s(alt #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (patch #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/14400 (pow x 4)) 1/36) (taylor 0 x) (#s(alt #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (patch #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ ( (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ ( (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ ( (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ ( (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (sin x) x) #s(literal 1 binary64)) (patch #s(approx (/ (sin x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (sin x) x) #s(literal 1 binary64)) (patch #s(approx (/ (sin x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (taylor 0 x) (#s(alt #s(approx (/ (sin x) x) #s(literal 1 binary64)) (patch #s(approx (/ (sin x) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) (taylor -inf x) (#s(alt (.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) (patch (.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) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) (taylor -inf x) (#s(alt (.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) (patch (.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) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)) (patch #s(approx (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (sin x) x))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)) (patch #s(approx (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)) (patch #s(approx (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)) (patch #s(approx (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 19/360 (pow x 5)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/2 (/ 1 (pow x 2))) 19/360))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/2 (/ 1 (pow x 2))) (+ 19/360 (/ 3 (pow x 4)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/2 (/ 1 (pow x 2))) (+ 19/360 (/ 3 (pow x 4)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

((- (sin x) x) (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/14400 (pow x 4)) -1/36) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (/ (sin x) x) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (* (* (+ (* (* x x) 1/120) -1/6) x) x) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (* (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) x) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (- (pow (sin x) 3) (pow x 3)) (* (pow x 5) -1/2) (pow x 5) (* (+ (* (* x x) 1/120) -1/6) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (* (+ (* (+ (* 19/360 (* x x)) -1/2) (* x x)) 3) x))

4.0ms

inf

((- (sin x) x) (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/14400 (pow x 4)) -1/36) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (/ (sin x) x) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (* (* (+ (* (* x x) 1/120) -1/6) x) x) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (* (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) x) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (- (pow (sin x) 3) (pow x 3)) (* (pow x 5) -1/2) (pow x 5) (* (+ (* (* x x) 1/120) -1/6) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (* (+ (* (+ (* 19/360 (* x x)) -1/2) (* x x)) 3) x))

3.0ms

((- (sin x) x) (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/14400 (pow x 4)) -1/36) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (/ (sin x) x) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (* (* (+ (* (* x x) 1/120) -1/6) x) x) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (* (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) x) (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (- (pow (sin x) 3) (pow x 3)) (* (pow x 5) -1/2) (pow x 5) (* (+ (* (* x x) 1/120) -1/6) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (* (+ (* (+ (* 19/360 (* x x)) -1/2) (* x x)) 3) x))

simplify133.0ms (2%)

Memory

10.7MiB live, 95.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	2636
1	644	2636
2	2011	2616
3	5450	2368
0	8250	2248

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* -1/36 (pow x 3))
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36))
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36))
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36))
-1/36
(- (* 1/14400 (pow x 4)) 1/36)
(- (* 1/14400 (pow x 4)) 1/36)
(- (* 1/14400 (pow x 4)) 1/36)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/2 (pow x 5))
(* (pow x 5) (- (* 13/120 (pow x 2)) 1/2))
(* (pow x 5) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))
(* (pow x 5) (- (* (pow x 2) (+ 13/120 (* (pow x 2) (- (* 671/604800 (pow x 2)) 41/3024)))) 1/2))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 3 (* (pow x 2) (- (* 19/360 (pow x 2)) 1/2))))
(* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 19/360 (* -17/5040 (pow x 2)))) 1/2))))
(* 3 x)
(* x (+ 3 (* -1/2 (pow x 2))))
(* x (+ 3 (* (pow x 2) (- (* 19/360 (pow x 2)) 1/2))))
(* x (+ 3 (* (pow x 2) (- (* 19/360 (pow x 2)) 1/2))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/14400 (pow x 7))
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* 1/14400 (pow x 4))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2))) (+ 1 (* -1 (/ (sin x) x)))))
(* x (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (pow x 3)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
-1
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2))) (+ 1 (* -1 (/ (sin x) x)))))
(* x (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (pow x 3)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
-1
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2))) (+ 1 (* -1 (/ (sin x) x)))))
(* x (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (pow x 3)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
-1
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2))) (+ 1 (* -1 (/ (sin x) x)))))
(* x (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (pow x 3)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ (pow (sin x) 3) (pow x 3)) 1))
(* (pow x 3) (- (/ (pow (sin x) 3) (pow x 3)) 1))
(* (pow x 3) (- (/ (pow (sin x) 3) (pow x 3)) 1))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/362880 (pow x 7))
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))
(* 19/360 (pow x 5))
(* (pow x 5) (- 19/360 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 19/360 (/ 3 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 19/360 (/ 3 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/14400 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400)))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400)))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400)))
(* 1/14400 (pow x 4))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
-1
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
-1
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
-1
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* 1/120 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/362880 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))
(* 19/360 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/2 (/ 1 (pow x 2))) 19/360)))
(* -1 (* (pow x 5) (- (* 1/2 (/ 1 (pow x 2))) (+ 19/360 (/ 3 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/2 (/ 1 (pow x 2))) (+ 19/360 (/ 3 (pow x 4))))))

Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/36 (pow x 3))
(*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
-1/36
#s(literal -1/36 binary64)
(- (* 1/14400 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))
(- (* 1/14400 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))
(- (* 1/14400 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.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)) (pow.f64 x #s(literal 3 binary64)))
(* -1/2 (pow x 5))
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(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(- (/ (sin x) x) 1)
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(-.f64 (sin.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
-1
#s(literal -1 binary64)
(- (/ (sin x) x) 1)
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(- (/ (sin x) x) 1)
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(- (/ (sin x) x) 1)
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(* 1/120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(-.f64 (sin.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
-1
#s(literal -1 binary64)
(- (/ (sin x) x) 1)
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(- (/ (sin x) x) 1)
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(- (/ (sin x) x) 1)
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(* 1/362880 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/362880 binary64))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3))))))
(-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/2 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(* -1/2 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(* -1/2 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(* -1/2 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* 1/120 (pow x 3))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* 1/362880 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/362880 binary64))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(*.f64 (+.f64 (sin.f64 x) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(* 19/360 (pow x 5))
(*.f64 #s(literal 19/360 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/2 (/ 1 (pow x 2))) 19/360)))
(.f64 (-.f64 #s(literal 19/360 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/2 (/ 1 (pow x 2))) (+ 19/360 (/ 3 (pow x 4))))))
(.f64 (-.f64 (-.f64 #s(literal 19/360 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/2 (/ 1 (pow x 2))) (+ 19/360 (/ 3 (pow x 4))))))
(.f64 (-.f64 (-.f64 #s(literal 19/360 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))

rewrite167.0ms (2.6%)

Memory

13.8MiB live, 167.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	464
0	95	464
1	385	416
2	2588	416
0	8799	410

Stop Event

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

Counts

24 → 239

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
#s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x))
(.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x)
#s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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))
(.f64 #s(approx (- (/ (sin x) x) 1) (.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)
#s(approx (- (/ (sin x) x) 1) (.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))
(.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)
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)))
#s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 5 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(.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)
#s(approx (+ (* (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x))
(.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 3 binary64)) x)

Outputs
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eval57.0ms (0.9%)

Memory: 5.0MiB live, 79.0MiB allocated
Compiler: Compiled 9 798 to 1 329 computations (86.4% saved)

prune38.0ms (0.6%)

Memory

-23.0MiB live, 64.9MiB allocated

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	520	7	527
Fresh	2	12	14
Picked	2	3	5
Done	1	3	4
Total	525	25	550

Accuracy

100.0%

Counts

550 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(fma.f64 (+.f64 (sin.f64 x) x) (.f64 (.f64 (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64))))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 7 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
	3.8%	(/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 x x) (-.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x))))
	41.5%	(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 #s(approx ( (+ (* (+ (* 19/360 (* x x)) -1/2) (* x x)) 3) x) (*.f64 #s(literal 3 binary64) x)) x)))
✓	66.3%	(-.f64 (sin.f64 x) x)
	24.5%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (.f64 x x)))
	97.1%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
✓	66.3%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
	66.2%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) #s(literal 1 binary64)) x))
	64.3%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (-.f64 #s(approx (/ (sin x) x) (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))) #s(literal 1 binary64)) x))
✓	62.6%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
	65.8%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (expm1.f64 (.f64 (log.f64 (/.f64 x (sin.f64 x))) #s(literal -1 binary64))) x))
	97.4%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) x)) x))
	97.4%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x))) x))
✓	97.7%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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))
	97.7%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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) x)) x))
	97.1%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
	97.1%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))
	47.2%	#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) #s(approx ( (* (+ (* (* x x) 1/120) -1/6) x) x) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) x))
	61.9%	#s(approx (- (sin x) x) (/.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)))
	97.6%	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
	97.6%	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
✓	97.7%	#s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
✓	6.6%	#s(approx (- (sin x) x) (neg.f64 x))
	41.0%	#s(approx (- (sin x) x) #s(approx (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 1 166 to 483 computations (58.6% saved)

regimes27.0ms (0.4%)

Memory

-7.8MiB live, 30.4MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) x)) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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) x)) x))
#s(approx (- (sin x) x) (/.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (-.f64 #s(approx (/ (sin x) x) (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))) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) #s(approx (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 #s(approx ( (+ (* (+ (* 19/360 (* x x)) -1/2) (* x x)) 3) x) (*.f64 #s(literal 3 binary64) x)) x)))
#s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) #s(approx ( (* (+ (* (* x x) 1/120) -1/6) x) x) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) #s(literal 1 binary64)) x))
#s(approx (- (sin x) x) (.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)))
(/.f64 #s(approx (- (* x x) (pow (sin x) 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (.f64 x x)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (expm1.f64 (.f64 (log.f64 (/.f64 x (sin.f64 x))) #s(literal -1 binary64))) x))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (sin.f64 x) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (sin.f64 x) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 x x) (-.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (.f64 x x))) (.f64 (/.f64 (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (sin.f64 x) x) (*.f64 x x))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(fma.f64 (+.f64 (sin.f64 x) x) (.f64 (.f64 (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64))))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 7 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))

Outputs

(fma.f64 (+.f64 (sin.f64 x) x) (*.f64 (*.f64 (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64))))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 7 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))

#s(approx (- (sin x) x) (/.f64 (*.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))

Calls

2 calls:

15.0ms	x
10.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
99.8%	2	`x`
99.8%	2	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes23.0ms (0.4%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

45 → 2

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) x)) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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) x)) x))
#s(approx (- (sin x) x) (/.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (-.f64 #s(approx (/ (sin x) x) (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))) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) #s(approx (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 #s(approx ( (+ (* (+ (* 19/360 (* x x)) -1/2) (* x x)) 3) x) (*.f64 #s(literal 3 binary64) x)) x)))
#s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) #s(approx ( (* (+ (* (* x x) 1/120) -1/6) x) x) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) #s(literal 1 binary64)) x))
#s(approx (- (sin x) x) (.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)))
(/.f64 #s(approx (- (* x x) (pow (sin x) 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (.f64 x x)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (expm1.f64 (.f64 (log.f64 (/.f64 x (sin.f64 x))) #s(literal -1 binary64))) x))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (sin.f64 x) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (sin.f64 x) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 x x) (-.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (.f64 x x))) (.f64 (/.f64 (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (sin.f64 x) x) (*.f64 x x))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))

Outputs

(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x))))

#s(approx (- (sin x) x) (/.f64 (*.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))

Calls

2 calls:

12.0ms	x
10.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
99.8%	2	`x`
99.8%	2	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes23.0ms (0.4%)

Memory

-12.4MiB live, 26.5MiB allocated

Counts

42 → 2

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) x)) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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) x)) x))
#s(approx (- (sin x) x) (/.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (-.f64 #s(approx (/ (sin x) x) (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))) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) #s(approx (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 #s(approx ( (+ (* (+ (* 19/360 (* x x)) -1/2) (* x x)) 3) x) (*.f64 #s(literal 3 binary64) x)) x)))
#s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) #s(approx ( (* (+ (* (* x x) 1/120) -1/6) x) x) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) #s(literal 1 binary64)) x))
#s(approx (- (sin x) x) (.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)))
(/.f64 #s(approx (- (* x x) (pow (sin x) 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (.f64 x x)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (expm1.f64 (.f64 (log.f64 (/.f64 x (sin.f64 x))) #s(literal -1 binary64))) x))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (sin.f64 x) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (sin.f64 x) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))

Outputs

#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (*.f64 x x)))

#s(approx (- (sin x) x) (/.f64 (*.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))

Calls

2 calls:

11.0ms	x
10.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
99.8%	2	`x`
99.8%	2	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes18.0ms (0.3%)

Memory

-17.6MiB live, 21.3MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) x)) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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) x)) x))
#s(approx (- (sin x) x) (/.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (-.f64 #s(approx (/ (sin x) x) (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))) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) #s(approx (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 #s(approx ( (+ (* (+ (* 19/360 (* x x)) -1/2) (* x x)) 3) x) (*.f64 #s(literal 3 binary64) x)) x)))
#s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) #s(approx ( (* (+ (* (* x x) 1/120) -1/6) x) x) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) #s(literal 1 binary64)) x))
#s(approx (- (sin x) x) (.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 3 binary64)) x) x)))
(/.f64 #s(approx (- (* x x) (pow (sin x) 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))

Outputs

(-.f64 (sin.f64 x) x)

#s(approx (- (sin x) x) (/.f64 (*.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))

Calls

2 calls:

9.0ms	x
7.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.7%	2	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) x)) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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) x)) x))
#s(approx (- (sin x) x) (/.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (-.f64 #s(approx (/ (sin x) x) (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))) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) #s(approx (/ (* (+ (* 1/14400 (pow x 4)) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 #s(approx (- (pow (sin x) 3) (pow x 3)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))) #s(approx (+ ( (+ (sin x) x) x) (pow (sin x) 2)) (.f64 #s(approx ( (+ (* (+ (* 19/360 (* x x)) -1/2) (* x x)) 3) x) (*.f64 #s(literal 3 binary64) x)) x)))

Outputs
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))

Calls

2 calls:

7.0ms	x
5.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.7%	2	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) x)) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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) x)) x))
#s(approx (- (sin x) x) (/.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 (-.f64 #s(approx (/ (sin x) x) (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))) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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))

Outputs

#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.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) x)) x))

Calls

2 calls:

5.0ms	x
4.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) x)) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))

Outputs

#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (*.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

Memory

-34.3MiB live, 8.5MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) x)) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))

Outputs

#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))

Calls

2 calls:

4.0ms	(-.f64 (sin.f64 x) x)
4.0ms	x

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) x)) x))

Outputs
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))

Outputs
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))

Outputs
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))

Calls

2 calls:

2.0ms	x
2.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (sin x) x) (neg.f64 x))

#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))

#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))

Outputs

#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 #s(approx (- (/ (sin x) x) 1) (*.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (- (sin x) x) (neg.f64 x))

#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
62.6%	1	`x`
62.6%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))

Outputs
#s(approx (- (sin x) x) (neg.f64 x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
6.6%	1	`x`
6.6%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0017483720129723157	-1.6290020601970184e-11

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0017483720129723157	-1.6290020601970184e-11

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0017483720129723157	-1.6290020601970184e-11

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0017483720129723157	-1.6290020601970184e-11

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0017483720129723157	-1.6290020601970184e-11

Compiler

Compiled 7 to 7 computations (0% saved)

simplify96.0ms (1.5%)

Memory

-32.1MiB live, 45.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	555
1	159	555
2	183	555
3	207	555
4	257	555
5	396	555
6	628	555
7	962	555
8	1320	555
9	1618	555
10	1816	555
11	1909	555
12	1972	555
13	2016	555
14	2042	555
15	2062	555
16	2069	555
17	2071	555
18	2071	555

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (.f64 (.f64 (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64))))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 7 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 x x) (-.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)))) #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (.f64 x x))) #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (-.f64 (sin.f64 x) x) #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (-.f64 (sin.f64 x) x) #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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) x)) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sin x) x) (neg.f64 x))

Outputs
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (.f64 (.f64 (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64))))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 7 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (.f64 (-.f64 (.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x)) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 7 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 x x) (-.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)))) #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (/.f64 (.f64 x x) (-.f64 x (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 x (sin.f64 x))))) #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (.f64 x x))) #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x x))) #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (-.f64 (sin.f64 x) x) #s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (-.f64 (sin.f64 x) x) #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.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) x)) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 (.f64 x x) #s(approx (+ ( 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64))) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(approx (+ (* 1/14400 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) x))
#s(approx (/ (- (pow (sin x) 3) (pow x 3)) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sin x) x) (neg.f64 x))

soundness1.8s (28.1%)

Memory

16.2MiB live, 832.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	455	2677
1	1426	2513
2	5067	2362
0	8245	2237
0	47	170
1	121	164
2	313	164
3	939	152
4	2033	140
5	3880	140
0	8027	128
0	232	2284
1	647	2237
2	2045	2207
3	4996	2007
0	8320	1898
0	37	224
0	66	219
1	290	199
2	2485	198
0	9231	198
0	227	2636
1	644	2636
2	2011	2616
3	5450	2368
0	8250	2248
0	64	464
0	95	464
1	385	416
2	2588	416
0	8799	410
0	53	254
0	83	251
1	308	200
2	2391	200
0	8511	200
0	3	6
0	5	6
1	20	6
2	148	6
3	1494	6
0	8322	6

Stop Event

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

Compiler

Compiled 860 to 471 computations (45.2% saved)

preprocess213.0ms (3.3%)

Memory: -17.2MiB live, 219.8MiB allocated
Compiler: Compiled 1 450 to 532 computations (63.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (18.9%)

explain72.0ms (1.1%)

preprocess18.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize25.0ms (0.4%)

series1.0ms (0%)

simplify115.0ms (1.8%)

rewrite144.0ms (2.2%)

eval21.0ms (0.3%)

prune12.0ms (0.2%)

simplify132.0ms (2%)

localize198.0ms (3%)

series30.0ms (0.5%)

simplify136.0ms (2.1%)

rewrite183.0ms (2.8%)

eval200.0ms (3.1%)

prune44.0ms (0.7%)

simplify107.0ms (1.7%)

localize218.0ms (3.3%)

series25.0ms (0.4%)

simplify129.0ms (2%)

rewrite136.0ms (2.1%)

eval165.0ms (2.5%)

prune40.0ms (0.6%)

simplify140.0ms (2.2%)

localize269.0ms (4.1%)

series28.0ms (0.4%)

simplify133.0ms (2%)

rewrite167.0ms (2.6%)

eval57.0ms (0.9%)

prune38.0ms (0.6%)

regimes27.0ms (0.4%)

regimes23.0ms (0.4%)

regimes23.0ms (0.4%)

regimes18.0ms (0.3%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify96.0ms (1.5%)

soundness1.8s (28.1%)

preprocess213.0ms (3.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4