Metrics for bug500 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample907.0ms (14.3%)

Memory

16.9MiB live, 706.9MiB allocated

Samples

542.0ms	7 224×	1	valid
91.0ms	538×	2	valid
21.0ms	494×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 452.0ms

ival-sin: 209.0ms (46.2% of total)

adjust: 100.0ms (22.1% of total)

ival-sub: 84.0ms (18.6% of total)

ival-<: 37.0ms (8.2% of total)

ival-and: 11.0ms (2.4% of total)

exact: 9.0ms (2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain62.0ms (1%)

Memory

15.5MiB live, 54.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
75	1	(-3.231151935116633e-108)	-	`(-.f64 (sin.f64 x) x)`
0	0	-	-	`(sin.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 x) x)`	cancellation	76	0

Confusion

	Predicted +	Predicted -
+	75	0
-	1	180

Precision

0.9868421052631579

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	75	0	0
-	1	0	180

Precision?

0.9868421052631579

Recall?

1.0

Freqs

test

number	freq
0	180
1	76

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms	462×	1	valid
4.0ms	32×	2	valid
1.0ms	18×	0	valid

Compiler

Compiled 22 to 13 computations (40.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sin: 11.0ms (50% of total)

adjust: 5.0ms (22.7% of total)

ival-sub: 5.0ms (22.7% of total)

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

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

preprocess17.0ms (0.3%)

Memory

14.6MiB live, 14.6MiB 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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.7%	(-.f64 (sin.f64 x) x)

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB 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

localize27.0ms (0.4%)

Memory

-25.4MiB live, 18.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(sin.f64 x)
accuracy	16.813078233275565	(-.f64 (sin.f64 x) x)

Samples

19.0ms	231×	1	valid
2.0ms	16×	2	valid
0.0ms	9×	0	valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sin: 6.0ms (48.6% of total)

adjust: 4.0ms (32.4% of total)

ival-sub: 3.0ms (24.3% of total)

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

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

series1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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

2.9MiB live, 79.4MiB 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)

rewrite145.0ms (2.3%)

Memory

-8.3MiB live, 107.9MiB 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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eval19.0ms (0.3%)

Memory: 25.5MiB live, 25.5MiB allocated
Compiler: Compiled 6 095 to 589 computations (90.3% saved)

prune9.0ms (0.1%)

Memory

-23.7MiB live, 15.4MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	192	5	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	192	6	198

Accuracy

99.8%

Counts

198 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
▶	21.9%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (*.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
✓	73.7%	(-.f64 (sin.f64 x) x)
▶	57.1%	(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)))
▶	99.3%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	6.2%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 146 to 87 computations (40.4% saved)

simplify141.0ms (2.2%)

Memory

14.0MiB live, 100.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x))
cost-diff	7040	(-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (*.f64 x x)))
cost-diff	14016	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (*.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
cost-diff	6080	(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)))
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (sin x) x) (neg.f64 x))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	229
0	51	227
1	99	217
2	280	205
3	1169	205
4	4949	205
0	8095	204

Stop Event

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

Calls

Call 1

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

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

localize279.0ms (4.4%)

Memory

-7.0MiB live, 186.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (*.f64 x x))
accuracy	10.207110943715698	(-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (*.f64 x x)))
accuracy	28.369500113581616	(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
accuracy	37.85494187898283	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (*.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
accuracy	0.01171875	(pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))
accuracy	0.01171875	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	3.356802603284847	(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)))
accuracy	25.92710647256921	(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
accuracy	0.0078125	(+.f64 (sin.f64 x) x)
accuracy	0.01171875	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	3.316712625137059	(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
accuracy	25.92710647256921	(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
accuracy	0	(neg.f64 x)
accuracy	60.032040372750515	#s(approx (- (sin x) x) (neg.f64 x))
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.1171875	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
accuracy	0.3717033004430695	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))

Samples

204.0ms	209×	1	valid
45.0ms	45×	2	valid
0.0ms	2×	0	valid

Compiler

Compiled 226 to 30 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

ival-sin: 90.0ms (41.3% of total)

ival-cos: 48.0ms (22% of total)

ival-mult: 23.0ms (10.6% of total)

adjust: 18.0ms (8.3% of total)

ival-sub: 8.0ms (3.7% of total)

ival-pow: 8.0ms (3.7% of total)

ival-div: 6.0ms (2.8% of total)

ival-pow2: 5.0ms (2.3% of total)

const: 5.0ms (2.3% of total)

ival-add: 5.0ms (2.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

16 → 192

Calls

Call 1

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

Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #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 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #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 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #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 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<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 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (patch (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.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 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (patch (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.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 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (patch (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.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 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (patch (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow x 4)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 2/45 (pow x 2)) 1/3)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (fma.f64 (neg.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>) () ())) ())
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#s(alt (pow (sin x) 2) (taylor -inf 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 (sin x) 2) (taylor -inf 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 (sin x) 2) (taylor -inf 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 x) (taylor -inf x) (#s(alt (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))) (patch (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))) (patch (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))) (patch (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))) (patch (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))) (patch (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))) (patch (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))) (patch (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) x)) (* 1/2 (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))) (patch (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (patch (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 2 (* 2 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (patch (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (/ 1 x) (+ (* 2 (sin x)) (/ (cos (* 2 x)) x))) x))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (patch (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ (* -1 (- 1 (cos (* 2 x)))) (* -1 (/ (* (sin x) (- 1 (cos (* 2 x)))) x))) x)) (* 2 (sin x))) x))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (patch (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (cos (* 2 x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 (cos (* 2 x)))) (* -1 (/ (* (sin x) (- 1 (cos (* 2 x)))) x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 (cos (* 2 x)))) (* -1 (/ (* (sin x) (- 1 (cos (* 2 x)))) x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 (cos (* 2 x)))) (* -1 (/ (* (sin x) (- 1 (cos (* 2 x)))) x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (patch (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos (* 2 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos (* 2 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos (* 2 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos (* 2 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 (sin.f64 x) x) (patch (+.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin x) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (sin.f64 x) x) (patch (+.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin x) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (sin.f64 x) x) (patch (+.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin x) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (sin.f64 x) x) (patch (+.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (sin x) x) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow (sin x) 2) x) (sin x)) x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin x) 3) x) (pow (sin x) 2)) x)) (sin x)) x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x)) (patch (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -2 (/ (sin x) x)) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x)) (patch (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -2 (/ (sin x) x)) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x)) (patch (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -2 (/ (sin x) x)) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x)) (patch (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (neg x) (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (+ (* (neg x) x) (pow (sin x) 2)) (pow (sin x) 2) (* (+ (* (neg x) x) (pow (sin x) 2)) (pow (+ (sin x) x) -1)) (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (- 1 (cos (* 2 x))) (+ (sin x) x) (pow (+ (sin x) x) -1) (* (* (+ (sin x) x) 2) (* x x)))
4.0ms	x	@	-inf	((- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (neg x) (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (+ (* (neg x) x) (pow (sin x) 2)) (pow (sin x) 2) (* (+ (* (neg x) x) (pow (sin x) 2)) (pow (+ (sin x) x) -1)) (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (- 1 (cos (* 2 x))) (+ (sin x) x) (pow (+ (sin x) x) -1) (* (* (+ (sin x) x) 2) (* x x)))
3.0ms	x	@	0	((- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (neg x) (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (+ (* (neg x) x) (pow (sin x) 2)) (pow (sin x) 2) (* (+ (* (neg x) x) (pow (sin x) 2)) (pow (+ (sin x) x) -1)) (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (- 1 (cos (* 2 x))) (+ (sin x) x) (pow (+ (sin x) x) -1) (* (* (+ (sin x) x) 2) (* x x)))

Time

Variable

Point

Expression

5.0ms

inf

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

4.0ms

-inf

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

3.0ms

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

simplify171.0ms (2.7%)

Memory

16.7MiB live, 131.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	338	2059
1	980	2009
2	3105	1889
0	8320	1783

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 190

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))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 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 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) (- (* 2/45 (pow x 2)) 1/3))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3))
(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))
(* -1/6 (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))
(* -4/3 (pow x 5))
(* (pow x 5) (- (* 13/45 (pow x 2)) 4/3))
(* (pow x 5) (- (* (pow x 2) (+ 13/45 (* -25/756 (pow x 2)))) 4/3))
(* (pow x 5) (- (* (pow x 2) (+ 13/45 (* (pow x 2) (- (* 283/113400 (pow x 2)) 25/756)))) 4/3))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* -5/3 (pow x 2))))
(* (pow x 3) (+ 4 (* (pow x 2) (- (* 11/36 (pow x 2)) 5/3))))
(* (pow x 3) (+ 4 (* (pow x 2) (- (* (pow x 2) (+ 11/36 (* -253/7560 (pow x 2)))) 5/3))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2/3 (pow x 2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))
(* 2 x)
(* x (+ 2 (* -1/6 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/720 (* -1/120960 (pow x 2))))))) x)
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* -1/3 (pow x 2))))
(* (pow x 3) (+ 4 (* (pow x 2) (- (* 1/60 (pow x 2)) 1/3))))
(* (pow x 3) (+ 4 (* (pow x 2) (- (* (pow x 2) (+ 1/60 (* -1/2520 (pow x 2)))) 1/3))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -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))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* x (- (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) 1))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x))) 1))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) (* 1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* 2 (* (sin x) (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) (pow x 3))))) 1))
(* -2 (pow x 3))
(* (pow x 3) (- (* -2 (/ (sin x) x)) 2))
(* (pow x 3) (- (/ 1 (pow x 2)) (+ 2 (+ (* 2 (/ (sin x) x)) (/ (cos (* 2 x)) (pow x 2))))))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ (* (sin x) (- 1 (cos (* 2 x)))) (pow x 3))) (+ 2 (+ (* 2 (/ (sin x) x)) (/ (cos (* 2 x)) (pow x 2))))))
(* x (- 1 (cos (* 2 x))))
(* x (- (+ 1 (/ (* (sin x) (- 1 (cos (* 2 x)))) x)) (cos (* 2 x))))
(* x (- (+ 1 (/ (* (sin x) (- 1 (cos (* 2 x)))) x)) (cos (* 2 x))))
(* x (- (+ 1 (/ (* (sin x) (- 1 (cos (* 2 x)))) x)) (cos (* 2 x))))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
x
(* x (+ 1 (/ (sin x) x)))
(* x (+ 1 (/ (sin x) x)))
(* x (+ 1 (/ (sin x) x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ (sin x) x))) x)
(/ (- (+ 1 (/ (pow (sin x) 2) (pow x 2))) (/ (sin x) x)) x)
(/ (- (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (/ (sin x) x))) x)
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 2 (/ (sin x) x))))
(* (pow x 3) (+ 2 (* 2 (/ (sin x) x))))
(* (pow x 3) (+ 2 (* 2 (/ (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)))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow 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 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)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(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 x)
(* -1 (* x (+ 1 (* -1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) x)) (* 1/2 (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (+ 2 (* 2 (/ (sin x) x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (/ 1 x) (+ (* 2 (sin x)) (/ (cos (* 2 x)) x))) x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ (* -1 (- 1 (cos (* 2 x)))) (* -1 (/ (* (sin x) (- 1 (cos (* 2 x)))) x))) x)) (* 2 (sin x))) x)))))
(* x (- 1 (cos (* 2 x))))
(* -1 (* x (+ (* -1 (- 1 (cos (* 2 x)))) (* -1 (/ (* (sin x) (- 1 (cos (* 2 x)))) x)))))
(* -1 (* x (+ (* -1 (- 1 (cos (* 2 x)))) (* -1 (/ (* (sin x) (- 1 (cos (* 2 x)))) x)))))
(* -1 (* x (+ (* -1 (- 1 (cos (* 2 x)))) (* -1 (/ (* (sin x) (- 1 (cos (* 2 x)))) x)))))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
(- 1 (cos (* 2 x)))
x
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(/ 1 x)
(* -1 (/ (- (/ (sin x) x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin x) 2) x) (sin x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin x) 3) x) (pow (sin x) 2)) x)) (sin x)) x)) 1) x))
(* 2 (pow x 3))
(* -1 (* (pow x 3) (- (* -2 (/ (sin x) x)) 2)))
(* -1 (* (pow x 3) (- (* -2 (/ (sin x) x)) 2)))
(* -1 (* (pow x 3) (- (* -2 (/ (sin x) 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))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(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 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) (- (* 2/45 (pow x 2)) 1/3))
(.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) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))
(.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) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3))
(.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)))
(* -1/6 (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)))
(* -4/3 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -4/3 binary64))
(* (pow x 5) (- (* 13/45 (pow x 2)) 4/3))
(.f64 (fma.f64 #s(literal 13/45 binary64) (.f64 x x) #s(literal -4/3 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* (pow x 2) (+ 13/45 (* -25/756 (pow x 2)))) 4/3))
(.f64 (fma.f64 (fma.f64 #s(literal -25/756 binary64) (.f64 x x) #s(literal 13/45 binary64)) (*.f64 x x) #s(literal -4/3 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* (pow x 2) (+ 13/45 (* (pow x 2) (- (* 283/113400 (pow x 2)) 25/756)))) 4/3))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 283/113400 binary64) (.f64 x x) #s(literal -25/756 binary64)) (.f64 x x) #s(literal 13/45 binary64)) (.f64 x x) #s(literal -4/3 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* 4 (pow x 3))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 4 (* -5/3 (pow x 2))))
(.f64 (fma.f64 #s(literal -5/3 binary64) (.f64 x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 4 (* (pow x 2) (- (* 11/36 (pow x 2)) 5/3))))
(.f64 (fma.f64 (fma.f64 #s(literal 11/36 binary64) (.f64 x x) #s(literal -5/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 4 (* (pow x 2) (- (* (pow x 2) (+ 11/36 (* -253/7560 (pow x 2)))) 5/3))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -253/7560 binary64) (.f64 x x) #s(literal 11/36 binary64)) (.f64 x x) #s(literal -5/3 binary64)) (.f64 x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -2/3 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/315 binary64) (.f64 x x) #s(literal 4/45 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1/6 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/720 (* -1/120960 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/120960 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 4 (pow x 3))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 4 (* -1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 4 (* (pow x 2) (- (* 1/60 (pow x 2)) 1/3))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 4 (* (pow x 2) (- (* (pow x 2) (+ 1/60 (* -1/2520 (pow x 2)))) 1/3))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 x)
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(* x (- (/ (sin x) x) 1))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* x (- (/ (sin x) x) 1))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* x (- (/ (sin x) x) 1))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 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 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
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(pow x 3)
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(* -1 x)
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(* -1 x)
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(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
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(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
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(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) 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))
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(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
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(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* x (- (/ (sin x) x) 1))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) 1))
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x))) 1))
(.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (*.f64 x x)) #s(literal 1/2 binary64) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) x)
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(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* -2 (/ (sin x) x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
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(* x (- 1 (cos (* 2 x))))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) x)
(* x (- (+ 1 (/ (* (sin x) (- 1 (cos (* 2 x)))) x)) (cos (* 2 x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))) (neg.f64 x))
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(- 1 (cos (* 2 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
x
(* x (+ 1 (/ (sin x) x)))
(fma.f64 (/.f64 (sin.f64 x) x) x x)
(* x (+ 1 (/ (sin x) x)))
(fma.f64 (/.f64 (sin.f64 x) x) x x)
(* x (+ 1 (/ (sin x) x)))
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(/ 1 x)
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(/ (+ 1 (* -1 (/ (sin x) x))) x)
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(/ (- (+ 1 (/ (pow (sin x) 2) (pow x 2))) (/ (sin x) x)) x)
(/.f64 (fma.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* -1 (/ (pow (sin x) 3) (pow x 3)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (/ (sin x) x))) x)
(/.f64 (fma.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)))) x)
(* 2 (pow x 3))
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(* (pow x 3) (+ 2 (* 2 (/ (sin x) x))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 2 (* 2 (/ (sin x) x))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 2 (* 2 (/ (sin x) x))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 x)
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(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
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(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
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(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
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(* -1/6 (pow x 3))
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(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 x)
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(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
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(* -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)))))
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(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
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(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
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(* -1 (pow x 2))
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(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) x) x)
(pow (sin x) 2)
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(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)
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(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
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(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 2 (* 2 (/ (sin x) x)))))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (/ 1 x) (+ (* 2 (sin x)) (/ (cos (* 2 x)) x))) x)))))
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(* x (- 1 (cos (* 2 x))))
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(* -1 (* x (+ (* -1 (- 1 (cos (* 2 x)))) (* -1 (/ (* (sin x) (- 1 (cos (* 2 x)))) x)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (- 1 (cos (* 2 x)))) (* -1 (/ (* (sin x) (- 1 (cos (* 2 x)))) x)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))) (neg.f64 x))
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(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
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(- 1 (cos (* 2 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(- 1 (cos (* 2 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
x
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) (neg.f64 x))
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(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) (neg.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ (sin x) x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin x) 2) x) (sin x)) x)) 1) x))
(/.f64 (fma.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin x) 3) x) (pow (sin x) 2)) x)) (sin x)) x)) 1) x))
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(* 2 (pow x 3))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -2 (/ (sin x) x)) 2)))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -2 (/ (sin x) x)) 2)))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -2 (/ (sin x) x)) 2)))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))

rewrite170.0ms (2.7%)

Memory

-19.5MiB live, 137.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	160
0	51	158
1	185	130
2	1403	127
0	8341	127

Stop Event

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

Counts

16 → 1 073

Calls

Call 1

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

Outputs
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eval482.0ms (7.6%)

Memory: -101.9MiB live, 272.8MiB allocated
Compiler: Compiled 74 941 to 4 619 computations (93.8% saved)

prune44.0ms (0.7%)

Memory

14.6MiB live, 98.4MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1 787	12	1 799
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	1 790	15	1 805

Accuracy

100.0%

Counts

1 805 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.3%	(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x))
	22.0%	(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (sin.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) x (.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 (sin.f64 x) x)) x) x))) (.f64 (*.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
	53.7%	(/.f64 (fma.f64 (neg.f64 x) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 (sin.f64 x) x))
	19.4%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 (neg.f64 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)))) (fma.f64 x (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
	39.4%	(/.f64 #s(approx (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -4/3 binary64))) (.f64 (*.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
	94.2%	(/.f64 #s(approx (+ (* (neg x) x) (pow (sin x) 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) (+.f64 (sin.f64 x) x))
✓	73.7%	(-.f64 (sin.f64 x) x)
▶	73.8%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
	99.2%	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
✓	99.3%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	99.1%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
▶	99.2%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
	99.2%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
▶	99.2%	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
✓	6.2%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 423 to 254 computations (40% saved)

simplify114.0ms (1.8%)

Memory

12.5MiB live, 88.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(sin.f64 x)
cost-diff	0	(sqrt.f64 (sin.f64 x))
cost-diff	8000	(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #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)) #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)) #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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.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	-5824	(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 x x))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
cost-diff	-5824	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	174
0	54	169
1	110	150
2	291	138
3	1187	138
4	5044	126
0	8167	126

Stop Event

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

Calls

Call 1

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

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

localize398.0ms (6.3%)

Memory

-19.4MiB live, 252.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 x)
accuracy	0	(neg.f64 x)
accuracy	0.00390625	(sqrt.f64 (sin.f64 x))
accuracy	58.05324637096054	(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x))
accuracy	0	(pow.f64 x #s(literal 3/2 binary64))
accuracy	0.10384750976844201	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
accuracy	0.234375	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
accuracy	0.3717033004430695	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
accuracy	0	(sin.f64 x)
accuracy	0	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
accuracy	0.0859375	(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
accuracy	28.227819275553745	(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.08984375	(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
accuracy	0.1953125	(.f64 #s(literal -1/6 binary64) (.f64 x x))
accuracy	0.3717033004430695	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
accuracy	0	(*.f64 x x)
accuracy	0.0546875	(.f64 (.f64 x x) x)
accuracy	0.1171875	(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
accuracy	0.3717033004430695	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))

Samples

324.0ms	195×	2	valid
29.0ms	59×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 142 to 34 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 323.0ms

ival-sin: 129.0ms (40% of total)

ival-cos: 82.0ms (25.4% of total)

ival-mult: 40.0ms (12.4% of total)

adjust: 26.0ms (8.1% of total)

ival-sub: 14.0ms (4.3% of total)

ival-div: 8.0ms (2.5% of total)

ival-pow: 6.0ms (1.9% of total)

ival-add: 6.0ms (1.9% of total)

ival-sqrt: 5.0ms (1.5% of total)

const: 4.0ms (1.2% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

19 → 228

Calls

Call 1

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

Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x 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 (.f64 x x) x) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x 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 (.f64 x x) x) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x 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 (.f64 x x) x) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) (patch (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) (patch (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) (patch (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) (patch (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) 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) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x 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 #s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (* -1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- ( (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- ( (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (/ (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) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow x 3) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 (* (pow x 3) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#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)) #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)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#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)) #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)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x)) (patch (fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x)) (patch (fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x)) (patch (fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (sqrt (sin x)) (taylor -inf x) (#s(alt (sqrt.f64 (sin.f64 x)) (patch (sqrt.f64 (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (sin x)) (taylor -inf x) (#s(alt (sqrt.f64 (sin.f64 x)) (patch (sqrt.f64 (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (sin x)) (taylor -inf x) (#s(alt (sqrt.f64 (sin.f64 x)) (patch (sqrt.f64 (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (sin x)) (taylor -inf x) (#s(alt (sqrt.f64 (sin.f64 x)) (patch (sqrt.f64 (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

-inf

((- (sin x) x) (* (* (* x x) x) -1/6) (* x x) (* (* x x) x) (- (sin x) x) (* -1/6 (* x x)) (* (* -1/6 (* x x)) x) (* (- (/ (sin x) x) 1) x) (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (- (/ (sin x) x) 1) (/ (sin x) x) (* (pow x 3/2) (* (pow x 3/2) -1/6)) (- (sin x) x) (pow x 3/2) (* (pow x 3/2) -1/6) (+ (* (sqrt (sin x)) (sqrt (sin x))) (neg x)) (sqrt (sin x)) (sin x) (neg x))

3.0ms

inf

((- (sin x) x) (* (* (* x x) x) -1/6) (* x x) (* (* x x) x) (- (sin x) x) (* -1/6 (* x x)) (* (* -1/6 (* x x)) x) (* (- (/ (sin x) x) 1) x) (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (- (/ (sin x) x) 1) (/ (sin x) x) (* (pow x 3/2) (* (pow x 3/2) -1/6)) (- (sin x) x) (pow x 3/2) (* (pow x 3/2) -1/6) (+ (* (sqrt (sin x)) (sqrt (sin x))) (neg x)) (sqrt (sin x)) (sin x) (neg x))

3.0ms

((- (sin x) x) (* (* (* x x) x) -1/6) (* x x) (* (* x x) x) (- (sin x) x) (* -1/6 (* x x)) (* (* -1/6 (* x x)) x) (* (- (/ (sin x) x) 1) x) (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (- (/ (sin x) x) 1) (/ (sin x) x) (* (pow x 3/2) (* (pow x 3/2) -1/6)) (- (sin x) x) (pow x 3/2) (* (pow x 3/2) -1/6) (+ (* (sqrt (sin x)) (sqrt (sin x))) (neg x)) (sqrt (sin x)) (sin x) (neg x))

simplify147.0ms (2.3%)

Memory

-26.0MiB live, 105.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	1695
1	416	1642
2	1395	1554
3	5617	1407
0	8180	1335

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 227

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))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 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))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 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))
(* -1/6 (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))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 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))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* -1/6 (sqrt (pow x 3)))
(* -1/6 (sqrt (pow x 3)))
(* -1/6 (sqrt (pow x 3)))
(* -1/6 (sqrt (pow x 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))
(sqrt x)
(+ (sqrt x) (* -1/12 (sqrt (pow x 5))))
(+ (sqrt x) (* (pow x 3) (+ (* -1/12 (sqrt (/ 1 x))) (* 1/240 (sqrt (pow x 3))))))
(+ (sqrt x) (* (pow x 3) (+ (* -1/12 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/288 (sqrt (/ 1 x))) (* 1/240 (sqrt (/ 1 x))))))))
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)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* x (- (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) 1))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x))) 1))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) (* 1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* 2 (* (sin x) (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) (pow x 3))))) 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)
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -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))
(* -1/6 (sqrt (pow x 3)))
(* -1/6 (sqrt (pow x 3)))
(* -1/6 (sqrt (pow x 3)))
(* -1/6 (sqrt (pow x 3)))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(sqrt (sin x))
(sqrt (sin x))
(sqrt (sin x))
(sqrt (sin x))
(sin x)
(sin x)
(sin x)
(sin 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)))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow 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)))))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (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 x)
(* -1 (* x (+ 1 (* -1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) x)) (* 1/2 (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (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)
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(* 1/6 (* (pow x 3) (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))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1/6 (* (sqrt (pow x 3)) (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 (sin x))
(sqrt (sin x))
(sqrt (sin x))
(sqrt (sin x))
(sin x)
(sin x)
(sin x)
(sin x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 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))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 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)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(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))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 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))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 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)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64))
(* -1/6 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64))
(* -1/6 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64))
(* -1/6 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 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)))
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1/12 (sqrt (pow x 5))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal -1/12 binary64) (sqrt.f64 x))
(+ (sqrt x) (* (pow x 3) (+ (* -1/12 (sqrt (/ 1 x))) (* 1/240 (sqrt (pow x 3))))))
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/12 binary64))) (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 x))
(+ (sqrt x) (* (pow x 3) (+ (* -1/12 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/288 (sqrt (/ 1 x))) (* 1/240 (sqrt (/ 1 x))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/1440 binary64) (.f64 x x) #s(literal -1/12 binary64))) (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 x))
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)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 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)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 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)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -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)
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -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)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) 1))
(-.f64 (sin.f64 x) x)
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x))) 1))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) (.f64 x x)) x (-.f64 (sin.f64 x) x))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) (* 1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* 2 (* (sin x) (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) (pow x 3))))) 1))
(-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (sin.f64 x) (fma.f64 (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) (.f64 x x))) x (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)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -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)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64))
(* -1/6 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64))
(* -1/6 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64))
(* -1/6 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64))
(* -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)
(sqrt (sin x))
(sqrt.f64 (sin.f64 x))
(sqrt (sin x))
(sqrt.f64 (sin.f64 x))
(sqrt (sin x))
(sqrt.f64 (sin.f64 x))
(sqrt (sin x))
(sqrt.f64 (sin.f64 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)
(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 (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)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 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)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 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)
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 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 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
(-.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (sin.f64 x))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) x)) (* 1/2 (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
(-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (sin.f64 x) (fma.f64 (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) x) (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)
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 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))))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 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 (sin x))
(sqrt.f64 (sin.f64 x))
(sqrt (sin x))
(sqrt.f64 (sin.f64 x))
(sqrt (sin x))
(sqrt.f64 (sin.f64 x))
(sqrt (sin x))
(sqrt.f64 (sin.f64 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)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite134.0ms (2.1%)

Memory

-11.5MiB live, 110.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	159
0	54	136
1	198	131
2	1496	128
0	8412	128

Stop Event

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

Counts

19 → 294

Calls

Call 1

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

Outputs
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eval94.0ms (1.5%)

Memory: 12.8MiB live, 121.3MiB allocated
Compiler: Compiled 8 309 to 1 371 computations (83.5% saved)

prune34.0ms (0.5%)

Memory

16.9MiB live, 65.0MiB allocated

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	651	9	660
Fresh	1	6	7
Picked	1	4	5
Done	0	3	3
Total	653	22	675

Accuracy

100.0%

Counts

675 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.0%	(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (sin.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) x (.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 (sin.f64 x) x)) x) x))) (.f64 (*.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
	53.7%	(/.f64 (fma.f64 (neg.f64 x) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 (sin.f64 x) x))
	19.4%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 (neg.f64 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)))) (fma.f64 x (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
	94.2%	(/.f64 #s(approx (+ (* (neg x) x) (pow (sin x) 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) (+.f64 (sin.f64 x) x))
✓	73.7%	(-.f64 (sin.f64 x) x)
▶	9.4%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
✓	73.8%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
▶	73.2%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x))
▶	72.9%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
▶	99.5%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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))
	99.4%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.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))
	99.3%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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))
	99.2%	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
	99.0%	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64)))
✓	99.3%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
✓	99.1%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
▶	99.2%	#s(approx (- (sin x) x) (.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1/6 binary64)))
✓	99.2%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
	99.2%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
	99.2%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
✓	99.2%	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
✓	6.2%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 562 to 358 computations (36.3% saved)

simplify121.0ms (1.9%)

Memory

0.1MiB live, 109.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 9/4 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
cost-diff	0	(.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
cost-diff	320	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
cost-diff	576	(/.f64 (sin.f64 x) #s(literal -1 binary64))
cost-diff	1024	(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) 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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) 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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	488
0	81	488
1	156	468
2	380	417
3	1408	410
4	6259	402
0	8109	402

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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))
(.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)
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(/.f64 (sin.f64 x) #s(literal -1 binary64))
(sin.f64 x)
#s(approx (- (sin x) x) (.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1/6 binary64))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 x #s(literal 9/4 binary64))
x
#s(literal 9/4 binary64)
(pow.f64 x #s(literal 3/4 binary64))
#s(literal 3/4 binary64)
#s(literal -1/6 binary64)

Outputs
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #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)
(.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #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))
#s(approx (- (/ (sin x) x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #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 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #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)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #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 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #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 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #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))
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #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)
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (fma.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) x (neg.f64 x)))
(.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) x (neg.f64 x))
(-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (-.f64 (sin.f64 x) x))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(-.f64 (sin.f64 x) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(/.f64 (sin.f64 x) #s(literal -1 binary64))
(neg.f64 (sin.f64 x))
(sin.f64 x)
#s(approx (- (sin x) x) (.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1/6 binary64))
(.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(pow.f64 x #s(literal 9/4 binary64))
x
#s(literal 9/4 binary64)
(pow.f64 x #s(literal 3/4 binary64))
#s(literal 3/4 binary64)
#s(literal -1/6 binary64)

localize515.0ms (8.1%)

Memory

0.5MiB live, 442.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 x #s(literal 9/4 binary64))
accuracy	0.109375	(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
accuracy	0.1171875	(.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1/6 binary64))
accuracy	0.3717033004430695	#s(approx (- (sin x) x) (.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1/6 binary64)))
accuracy	0	(sin.f64 x)
accuracy	0	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
accuracy	0.0859375	(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x)
accuracy	61.19628238176941	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
accuracy	0.009070031620653759	(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy	0.0859375	(.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)
accuracy	0.343657475625953	#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
accuracy	28.227819275553745	(-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
accuracy	0.0859375	(*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
accuracy	0.3890413412254101	#s(approx (/ (sin x) x) #s(literal 1 binary64))
accuracy	28.227819275553745	(-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0859375	(.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	0.125	(.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	0.1903479725404442	#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	0.28515625	(.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)

Samples

413.0ms	195×	2	valid
45.0ms	59×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 357 to 47 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 411.0ms

ival-sin: 144.0ms (35.1% of total)

ival-cos: 90.0ms (21.9% of total)

ival-mult: 63.0ms (15.3% of total)

adjust: 36.0ms (8.8% of total)

const: 20.0ms (4.9% of total)

ival-div: 17.0ms (4.1% of total)

ival-add: 15.0ms (3.7% of total)

ival-sub: 13.0ms (3.2% of total)

ival-pow: 12.0ms (2.9% of total)

exact: 1.0ms (0.2% of total)

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

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

series119.0ms (1.9%)

Memory

-6.8MiB live, 77.4MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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)) (patch #s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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)) #<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 #s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- ( (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 x) #s(literal -1 binary64)) (patch (/.f64 (sin.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (patch #s(approx (/ (- ( (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1/6 binary64)) (patch (.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (patch (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 9/4 binary64)) (patch (pow.f64 x #s(literal 9/4 binary64)) #<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 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<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 #s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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)) (patch #s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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)) (patch #s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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)) #<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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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)) (patch #s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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)) #<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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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)) (patch #s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#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>) () ())) ())
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#s(alt (* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) (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))) (+ 1/362880 (/ 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 (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<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

55.0ms

-inf

((/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (* (- (/ (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) (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (/ (sin x) x) (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (/ (sin x) x) (* (+ (* (/ -1 x) (/ (sin x) -1)) -1) x) (/ (sin x) -1) (+ (* (/ -1 x) (/ (sin x) -1)) -1) (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (- (sin x) x) (* (* (pow x 9/4) (pow x 3/4)) -1/6) (* (pow x 9/4) (pow x 3/4)) (pow x 9/4) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (* x x) -1/6) 1) (sin x))

42.0ms

((/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (* (- (/ (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) (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (/ (sin x) x) (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (/ (sin x) x) (* (+ (* (/ -1 x) (/ (sin x) -1)) -1) x) (/ (sin x) -1) (+ (* (/ -1 x) (/ (sin x) -1)) -1) (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (- (sin x) x) (* (* (pow x 9/4) (pow x 3/4)) -1/6) (* (pow x 9/4) (pow x 3/4)) (pow x 9/4) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (* x x) -1/6) 1) (sin x))

11.0ms

inf

((/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (* (- (/ (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) (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (/ (sin x) x) (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (* (- (/ (sin x) x) 1) x) (- (/ (sin x) x) 1) (/ (sin x) x) (* (+ (* (/ -1 x) (/ (sin x) -1)) -1) x) (/ (sin x) -1) (+ (* (/ -1 x) (/ (sin x) -1)) -1) (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (- (sin x) x) (* (* (pow x 9/4) (pow x 3/4)) -1/6) (* (pow x 9/4) (pow x 3/4)) (pow x 9/4) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (* x x) -1/6) 1) (sin x))

simplify204.0ms (3.2%)

Memory

28.4MiB live, 103.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	3367
1	522	3224
2	1632	2815
3	6301	2633
0	8197	2473

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 275

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) (- (* (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))
(* -1/6 (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
(+ 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 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* -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))
(* -1/6 (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))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow (* 1 (pow x 9)) 1/4)
(pow (* 1 (pow x 9)) 1/4)
(pow (* 1 (pow x 9)) 1/4)
(pow (* 1 (pow x 9)) 1/4)
(* -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))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 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))))
(* -1 x)
(* x (- (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) 1))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x))) 1))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) (* 1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* 2 (* (sin x) (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) (pow x 3))))) 1))
(* -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 (- (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) 1))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x))) 1))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) (* 1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* 2 (* (sin x) (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) (pow x 3))))) 1))
(* -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 (- (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) 1))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x))) 1))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) (* 1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* 2 (* (sin x) (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) (pow x 3))))) 1))
(* -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 (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
-1
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(* -1 x)
(* x (- (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) 1))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x))) 1))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) (* 1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* 2 (* (sin x) (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) (pow x 3))))) 1))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow (* 1 (pow x 9)) 1/4)
(pow (* 1 (pow x 9)) 1/4)
(pow (* 1 (pow x 9)) 1/4)
(pow (* 1 (pow x 9)) 1/4)
(* 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))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(sin x)
(sin x)
(sin x)
(sin x)
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) x)) (* 1/2 (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (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 (* -1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) x)) (* 1/2 (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (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 (* -1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) x)) (* 1/2 (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (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 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
-1
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(- (/ (sin x) x) 1)
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) x)) (* 1/2 (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (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)))))
(* 1/6 (* (pow x 3) (sqrt -1)))
(* 1/6 (* (pow x 3) (sqrt -1)))
(* 1/6 (* (pow x 3) (sqrt -1)))
(* 1/6 (* (pow x 3) (sqrt -1)))
(* -1 (* (pow x 3) (sqrt -1)))
(* -1 (* (pow x 3) (sqrt -1)))
(* -1 (* (pow x 3) (sqrt -1)))
(* -1 (* (pow x 3) (sqrt -1)))
(exp (* 1/4 (+ (log -1) (* -9 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -9 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -9 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -9 (log (/ -1 x))))))
(* 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))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(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)))
(* -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)))
(* -1/6 (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
#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 x)
(neg.f64 x)
(* x (- (* 1/6 (pow x 2)) 1))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(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)) (neg.f64 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)))
(* -1/6 (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))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow (* 1 (pow x 9)) 1/4)
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 9)) 1/4)
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 9)) 1/4)
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 9)) 1/4)
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/4 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (- (* (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)) x)
(* x (- (* (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)) x)
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#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 (* -1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (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 (- (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x))) 1))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) (.f64 x x)) x (fma.f64 #s(literal -1 binary64) x (sin.f64 x)))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) (* 1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* 2 (* (sin x) (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) (pow x 3))))) 1))
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(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
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#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 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 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 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 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)
(* x (- (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x))) 1))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) (.f64 x x)) x (fma.f64 #s(literal -1 binary64) x (sin.f64 x)))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) (* 1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* 2 (* (sin x) (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) (pow x 3))))) 1))
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(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 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 x)
(neg.f64 x)
(* x (- (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x))) 1))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) (.f64 x x)) x (fma.f64 #s(literal -1 binary64) x (sin.f64 x)))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) (* 1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* 2 (* (sin x) (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) (pow x 3))))) 1))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) x) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (sin.f64 x) (neg.f64 (fma.f64 (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))))) (*.f64 x x))) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 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 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(* -1 (sin x))
(neg.f64 (sin.f64 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 x)
(neg.f64 x)
(* x (- (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x))) 1))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) (.f64 x x)) x (fma.f64 #s(literal -1 binary64) x (sin.f64 x)))
(* x (- (+ (* 1/2 (/ (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)) (* 1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* 2 (* (sin x) (- 1 (+ (cos (* 2 x)) (+ (* -2 (pow (sin x) 2)) (* 2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x)))))))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) (pow x 3))))) 1))
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(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow (* 1 (pow x 9)) 1/4)
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 9)) 1/4)
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 9)) 1/4)
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 9)) 1/4)
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/4 binary64))
(* 1/362880 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/362880 binary64))
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(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 (* -1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
(-.f64 (neg.f64 x) (fma.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (sin.f64 x))))
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(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 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 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 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 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 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 (* -1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
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(* -1 x)
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(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
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(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 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 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
(-.f64 (neg.f64 x) (fma.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (sin.f64 x))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) x)) (* 1/2 (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
(-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (sin.f64 x) (neg.f64 (fma.f64 (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) x) (sin.f64 x)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 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 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(* -1 (sin x))
(neg.f64 (sin.f64 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 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1/2 (/ (- (* -2 (sin x)) (* -4 (sin x))) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
(-.f64 (neg.f64 x) (fma.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (sin.f64 x))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* (sin x) (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) (* (pow (sin x) 2) (- (* -2 (sin x)) (* -4 (sin x)))))) x)) (* 1/2 (- (* -1 (- 1 (cos (* 2 x)))) (+ (* -2 (* (sin x) (- (* -2 (sin x)) (* -4 (sin x))))) (* 2 (pow (sin x) 2)))))) x)) (* 1/2 (- (* -2 (sin x)) (* -4 (sin x))))) x)))))
(-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (sin.f64 x) (neg.f64 (fma.f64 (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) x) (sin.f64 x)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(fma.f64 #s(literal -1 binary64) x (sin.f64 x))
(* 1/6 (* (pow x 3) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* (pow x 3) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* (pow x 3) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* (pow x 3) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(exp (* 1/4 (+ (log -1) (* -9 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))
(exp (* 1/4 (+ (log -1) (* -9 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))
(exp (* 1/4 (+ (log -1) (* -9 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))
(exp (* 1/4 (+ (log -1) (* -9 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 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 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 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 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

rewrite171.0ms (2.7%)

Memory

-21.5MiB live, 131.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	427
0	81	415
1	334	385
2	2623	373
0	8463	373

Stop Event

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

Counts

23 → 267

Calls

Call 1

Inputs
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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))
(.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)
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(-.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(/.f64 (sin.f64 x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
#s(approx (- (sin x) x) (.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal -1/6 binary64))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 x #s(literal 9/4 binary64))
(.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 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(sin.f64 x)

Outputs
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eval96.0ms (1.5%)

Memory: 32.9MiB live, 69.5MiB allocated
Compiler: Compiled 8 909 to 1 430 computations (83.9% saved)

prune77.0ms (1.2%)

Memory

-37.4MiB live, 84.1MiB allocated

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	537	5	542
Fresh	2	8	10
Picked	2	3	5
Done	0	7	7
Total	541	23	564

Accuracy

100.0%

Counts

564 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.0%	(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (sin.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) x (.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 (sin.f64 x) x)) x) x))) (.f64 (*.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
	53.7%	(/.f64 (fma.f64 (neg.f64 x) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 (sin.f64 x) x))
	19.4%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 (neg.f64 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)))) (fma.f64 x (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
✓	73.7%	(-.f64 (sin.f64 x) x)
	73.2%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (+.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64))) x) (neg.f64 x)))
	9.4%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) x))
✓	73.8%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
✓	73.2%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x))
✓	72.9%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
	99.5%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))) x)) x))
✓	99.5%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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))
	99.4%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.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))
	99.3%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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))
	99.2%	#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.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))
	99.2%	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
	99.0%	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64)))
✓	99.3%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
	99.2%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))))
✓	99.1%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
✓	99.2%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
	99.2%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
✓	99.2%	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
✓	6.2%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 832 to 389 computations (53.2% saved)

regimes18.0ms (0.3%)

Memory

39.2MiB live, 39.2MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (+.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64))) x) (neg.f64 x)))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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))
(-.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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) x))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #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)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))))
(/.f64 #s(approx (+ (* (neg x) x) (pow (sin x) 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) (+.f64 (sin.f64 x) x))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 (neg.f64 x) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 (sin.f64 x) x))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 #s(approx (- (/ (sin x) x) 1) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #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 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
(/.f64 #s(approx (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -4/3 binary64))) (.f64 (*.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (*.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (sin.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) x (.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 (sin.f64 x) x)) x) x))) (.f64 (*.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sin.f64 x) x)) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 (neg.f64 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)))) (fma.f64 x (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes31.0ms (0.5%)

Memory

-24.9MiB live, 14.2MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.f64 (-.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (+.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64))) x) (neg.f64 x)))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (.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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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))
(-.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 (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) x))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #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)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64))))
(/.f64 #s(approx (+ (* (neg x) x) (pow (sin x) 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) (+.f64 (sin.f64 x) x))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 (neg.f64 x) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 (sin.f64 x) x))

Outputs

#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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))

Calls

2 calls:

7.0ms	x
6.0ms	(-.f64 (sin.f64 x) x)

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.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:

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

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs

#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin 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))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.f64 (-.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

#s(approx (/ (- (* (- 1 (cos (* 2 x))) (+ (sin x) x)) (* (* (+ (sin x) x) 2) (* x x))) (* (* (+ (sin x) x) 2) (+ (sin x) x))) (*.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
72.9%	1	`x`
72.9%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0.2%)

Memory

-47.9MiB live, 3.8MiB 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
6.2%	1	`x`
6.2%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify27.0ms (0.4%)

Memory

1.5MiB live, 38.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	348
1	103	348
2	108	348
3	114	348
4	121	348
5	130	348

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.2s (19.7%)

Memory

32.3MiB live, 658.6MiB allocated

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
0	338	2059
1	980	2009
2	3105	1889
0	8320	1783
0	152	1695
1	416	1642
2	1395	1554
3	5617	1407
0	8180	1335
0	3	6
0	5	6
1	20	6
2	148	6
3	1494	6
0	8322	6
0	37	159
0	54	136
1	198	131
2	1496	128
0	8412	128
0	30	160
0	51	158
1	185	130
2	1403	127
0	8341	127
0	54	427
0	81	415
1	334	385
2	2623	373
0	8463	373

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

Compiler

Compiled 267 to 169 computations (36.7% saved)

preprocess111.0ms (1.7%)

Memory: -21.3MiB live, 101.9MiB allocated
Remove: (negabs x)
Compiler: Compiled 416 to 212 computations (49% 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%)

sample907.0ms (14.3%)

explain62.0ms (1%)

preprocess17.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize27.0ms (0.4%)

series1.0ms (0%)

simplify115.0ms (1.8%)

rewrite145.0ms (2.3%)

eval19.0ms (0.3%)

prune9.0ms (0.1%)

simplify141.0ms (2.2%)

localize279.0ms (4.4%)

series18.0ms (0.3%)

simplify171.0ms (2.7%)

rewrite170.0ms (2.7%)

eval482.0ms (7.6%)

prune44.0ms (0.7%)

simplify114.0ms (1.8%)

localize398.0ms (6.3%)

series18.0ms (0.3%)

simplify147.0ms (2.3%)

rewrite134.0ms (2.1%)

eval94.0ms (1.5%)

prune34.0ms (0.5%)

simplify121.0ms (1.9%)

localize515.0ms (8.1%)

series119.0ms (1.9%)

simplify204.0ms (3.2%)

rewrite171.0ms (2.7%)

eval96.0ms (1.5%)

prune77.0ms (1.2%)

regimes18.0ms (0.3%)

regimes31.0ms (0.5%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes11.0ms (0.2%)

simplify27.0ms (0.4%)

soundness1.2s (19.7%)

preprocess111.0ms (1.7%)

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