Metrics for bug500 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample947.0ms (15.5%)

Memory

9.1MiB live, 742.4MiB allocated

Samples

573.0ms	7 256×	1	valid
85.0ms	514×	2	valid
22.0ms	486×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 475.0ms

ival-sin: 214.0ms (45% of total)

adjust: 100.0ms (21% of total)

ival-sub: 90.0ms (18.9% of total)

ival-<: 45.0ms (9.5% of total)

ival-and: 12.0ms (2.5% of total)

exact: 11.0ms (2.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain69.0ms (1.1%)

Memory

12.6MiB live, 58.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
86	2	(-4.1875503547679834e-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	88	0

Confusion

	Predicted +	Predicted -
+	86	0
-	2	168

Precision

0.9772727272727273

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	86	0	0
-	2	0	168

Precision?

0.9772727272727273

Recall?

1.0

Freqs

test

number	freq
0	168
1	88

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms	460×	1	valid
4.0ms	28×	2	valid
1.0ms	24×	0	valid

Compiler

Compiled 22 to 13 computations (40.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sin: 13.0ms (54.8% of total)

adjust: 5.0ms (21.1% of total)

ival-sub: 5.0ms (21.1% of total)

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

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

preprocess18.0ms (0.3%)

Memory

-24.4MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.5%	(-.f64 (sin.f64 x) x)

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB 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

localize24.0ms (0.4%)

Memory

19.9MiB live, 19.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(sin.f64 x)
accuracy	19.517119783783386	(-.f64 (sin.f64 x) x)

Samples

16.0ms	230×	1	valid
2.0ms	14×	2	valid
1.0ms	12×	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 (51.2% of total)

adjust: 3.0ms (25.6% of total)

ival-sub: 3.0ms (25.6% 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))

simplify116.0ms (1.9%)

Memory

2.2MiB live, 77.7MiB 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)

rewrite152.0ms (2.5%)

Memory

-4.6MiB live, 122.5MiB 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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eval20.0ms (0.3%)

Memory: -12.2MiB live, 26.5MiB allocated
Compiler: Compiled 6 095 to 589 computations (90.3% saved)

prune8.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB 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
▶	5.0%	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
✓	69.5%	(-.f64 (sin.f64 x) x)
▶	99.0%	#s(approx (- (sin x) x) (.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))))
▶	98.9%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
▶	98.3%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	6.3%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 118 to 85 computations (28% saved)

simplify129.0ms (2.1%)

Memory

-2.6MiB live, 79.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f64 x)
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
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)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (sin x) x) (neg.f64 x))
cost-diff	0	(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
cost-diff	0	(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))
cost-diff	0	(.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)))
cost-diff	0	#s(approx (- (sin x) x) (.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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	203
0	52	203
1	91	203
2	195	203
3	415	203
4	890	203
5	1647	203
6	2978	203
7	4377	203
8	5296	203
9	6848	203
0	8110	203

Stop Event

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

Calls

Call 1

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

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

localize172.0ms (2.8%)

Memory

-5.6MiB live, 149.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.03582001953688403	(pow.f64 (sin.f64 x) #s(literal 4 binary64))
accuracy	0.08984375	(*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
accuracy	8.517332704085193	(-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy	51.27907460261862	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy	0.14453125	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.5798583004610074	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.1484375	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
accuracy	0.9304707713725822	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
accuracy	0	(neg.f64 x)
accuracy	59.97451930130812	#s(approx (- (sin x) x) (neg.f64 x))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(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))
accuracy	0.14453125	(.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)))
accuracy	0.4857654324158477	#s(approx (- (sin x) x) (.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))))

Samples

133.0ms	232×	1	valid
7.0ms	10×	2	valid
4.0ms	14×	0	valid

Compiler

Compiled 179 to 31 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-pow: 24.0ms (21% of total)

ival-mult: 20.0ms (17.5% of total)

const: 19.0ms (16.7% of total)

adjust: 16.0ms (14% of total)

ival-add: 11.0ms (9.6% of total)

ival-sin: 7.0ms (6.1% of total)

ival-sub: 5.0ms (4.4% of total)

ival-pow2: 5.0ms (4.4% of total)

ival-div: 4.0ms (3.5% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.4%)

Memory

-10.3MiB live, 24.3MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt #s(approx (- (sin x) x) (.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)))) (patch #s(approx (- (sin x) x) (.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)))) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 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 #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) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (patch (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())

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

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	((- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (/ (- (pow (sin x) 4) (pow x 4)) (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2)))) (- (pow (sin x) 4) (pow x 4)) (pow (sin x) 4) (sin x) (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))))
4.0ms	x	@	inf	((- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (/ (- (pow (sin x) 4) (pow x 4)) (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2)))) (- (pow (sin x) 4) (pow x 4)) (pow (sin x) 4) (sin x) (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))))
3.0ms	x	@	0	((- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (/ (- (pow (sin x) 4) (pow x 4)) (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2)))) (- (pow (sin x) 4) (pow x 4)) (pow (sin x) 4) (sin x) (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))))

Time

Variable

Point

Expression

13.0ms

-inf

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

4.0ms

inf

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

3.0ms

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

simplify151.0ms (2.5%)

Memory

29.9MiB live, 144.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	1762
1	606	1753
2	1965	1743
3	5240	1615
0	8224	1541

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 215

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 (* -1/5040 (pow x 2)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (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))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -2/3 (pow x 6))
(* (pow x 6) (- (* 1/5 (pow x 2)) 2/3))
(* (pow x 6) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))
(* (pow x 6) (- (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 62/14175 (pow x 2)) 34/945)))) 2/3))
(pow x 4)
(* (pow x 4) (+ 1 (* -2/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))
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))))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* -1 (pow x 2))))
(* (pow x 3) (+ 4 (* (pow x 2) (- (* 29/180 (pow x 2)) 1))))
(* (pow x 3) (+ 4 (* (pow x 2) (- (* (pow x 2) (+ 29/180 (* -16/945 (pow x 2)))) 1))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -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))
(* -1/6 (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))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2))) (+ 1 (* -1 (/ (sin x) x)))))
(* x (- (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)))) (+ (* -1 (pow (sin x) 3)) (pow (sin x) 3))) (pow x 3))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* -1 (pow x 4))
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(sin x)
(sin x)
(sin x)
(sin x)
(pow x 3)
(* (pow x 3) (+ 1 (/ (sin x) x)))
(* (pow x 3) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ (sin x) x) (+ (/ (pow (sin x) 2) (pow x 2)) (/ (pow (sin x) 3) (pow x 3))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -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)))))
(* -1/6 (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)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 3) x)) (+ (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (/ (pow (sin x) 3) x))) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1 (pow x 4))
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(sin x)
(sin x)
(sin x)
(sin x)
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ (sin x) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (sin x) (/ (pow (sin x) 2) x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (sin x) (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) x)) (* -1 (pow (sin x) 2))) x))) x)) 1)))

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

rewrite177.0ms (2.9%)

Memory

-38.9MiB live, 165.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	160
0	52	160
1	196	143
2	1389	143
0	8272	143

Stop Event

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

Counts

18 → 754

Calls

Call 1

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

Outputs
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>

eval122.0ms (2%)

Memory: 9.4MiB live, 157.7MiB allocated
Compiler: Compiled 33 558 to 3 005 computations (91% saved)

prune32.0ms (0.5%)

Memory

29.7MiB live, 69.1MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 091	10	1 101
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	1 094	13	1 107

Accuracy

100.0%

Counts

1 107 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.4%	(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x))
✓	69.5%	(-.f64 (sin.f64 x) x)
▶	99.0%	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
▶	99.0%	#s(approx (- (sin x) x) (.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 (*.f64 x x) x)))
▶	98.8%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
	98.2%	#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)))
✓	98.3%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
	98.8%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
▶	98.3%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
	98.3%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
▶	98.3%	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
✓	6.3%	#s(approx (- (sin x) x) (neg.f64 x))
	33.2%	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 235 to 170 computations (27.7% saved)

simplify291.0ms (4.8%)

Memory

-4.4MiB live, 47.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
cost-diff	1088	(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.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)))
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	0	(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
cost-diff	0	(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))
cost-diff	0	(.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 (*.f64 x x) x))
cost-diff	0	#s(approx (- (sin x) x) (.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 (*.f64 x x) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	226
0	45	200
1	84	200
2	145	200
3	286	200
4	603	200
5	825	200
6	868	200
7	1027	200
8	1278	200
9	1501	200
10	3416	200
11	4276	200
12	4515	200
13	4546	200
14	4568	200
15	4569	200
16	4569	200
17	4569	200
18	5067	200
19	5285	200
20	5285	200
21	5285	200
22	5285	200
23	5289	200
0	5289	200

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize222.0ms (3.6%)

Memory

-23.2MiB live, 167.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.09375	(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
accuracy	0.5798583004610074	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy	0.09375	(.f64 (.f64 x x) x)
accuracy	0.14453125	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))
accuracy	0.5798583004610074	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
accuracy	0	(*.f64 x x)
accuracy	0.09375	(.f64 (.f64 x x) x)
accuracy	0.1484375	(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
accuracy	0.9304707713725822	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.10546875	(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
accuracy	0.1796875	(.f64 #s(literal -1/6 binary64) (.f64 x x))
accuracy	0.9304707713725822	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
accuracy	0.0078125	(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))
accuracy	0.09375	(.f64 (.f64 x x) x)
accuracy	0.14453125	(.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 (*.f64 x x) x))
accuracy	0.4857654324158477	#s(approx (- (sin x) x) (.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 (*.f64 x x) x)))

Samples

178.0ms	230×	1	valid
8.0ms	14×	2	valid
3.0ms	12×	0	valid

Compiler

Compiled 178 to 28 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 54.0ms (43.7% of total)

adjust: 20.0ms (16.2% of total)

const: 16.0ms (12.9% of total)

ival-add: 11.0ms (8.9% of total)

ival-sin: 7.0ms (5.7% of total)

ival-div: 6.0ms (4.9% of total)

ival-sub: 6.0ms (4.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

26.9MiB live, 26.9MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt #s(approx (- (sin x) x) (.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 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.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 (.f64 x x) x))) #<representation binary64>) () ())
#s(alt (.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 (.f64 x x) x)) (patch (.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 (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #<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 x x) (patch (.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 #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 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) (patch #s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.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 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.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 (.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 (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 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.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 (.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 (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 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.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 (.f64 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 (- (sin x) x) (.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 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.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 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.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 (.f64 x x) x)) (patch (.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 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.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 (.f64 x x) x)) (patch (.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 (.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 (.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 (.f64 x x) x)) (patch (.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 (.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 (.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 (.f64 x x) x)) (patch (.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 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt 1/120 (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* -1/5040 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* -1/5040 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* -1/5040 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #<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>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 #s(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 (* -1/6 (pow x 2)) (taylor 0 x) (#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 (* -1/6 (pow x 2)) (taylor 0 x) (#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 (* -1/6 (pow x 2)) (taylor 0 x) (#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 (* -1/6 (pow x 2)) (taylor 0 x) (#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 (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.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 (* -1/6 (pow x 3)) (taylor 0 x) (#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 (* -1/6 (pow x 3)) (taylor 0 x) (#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 (* -1/6 (pow x 3)) (taylor 0 x) (#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 (* -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 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 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.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 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.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 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 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 (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 x) (taylor -inf 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 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf 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 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf 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 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf 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 -inf 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 -inf 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 -inf 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 -inf 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 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) (patch #s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #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 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) (patch #s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #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 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) (patch #s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #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 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) (patch #s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf 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 -inf 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 -inf 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 -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 120 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify169.0ms (2.8%)

Memory

-24.4MiB live, 141.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1698
1	245	1698
2	652	1698
3	1931	1638
4	4432	1578
5	6980	1578
0	8201	1489

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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 (* -1/5040 (pow x 2)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -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))
(* -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))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
-6
(- (* -3/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -3/200 (pow x 2)) 3/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -3/4000 (pow x 2)) 3/200)) 3/10)) 6)
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -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))
(pow x 2)
(pow x 2)
(pow x 2)
(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))
(* -1/6 (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))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 120 (pow x 2))
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -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))
(pow x 2)
(pow x 2)
(pow x 2)
(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)))))
(* -1/6 (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)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 120 (pow x 2))
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))

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 (* -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)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(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 x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(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))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -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))
(* -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)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (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)))
(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))
-6
#s(literal -6 binary64)
(- (* -3/10 (pow x 2)) 6)
(fma.f64 #s(literal -3/10 binary64) (*.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* -3/200 (pow x 2)) 3/10)) 6)
(fma.f64 (fma.f64 #s(literal -3/200 binary64) (.f64 x x) #s(literal -3/10 binary64)) (.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -3/4000 (pow x 2)) 3/200)) 3/10)) 6)
(fma.f64 (fma.f64 (fma.f64 #s(literal -3/4000 binary64) (.f64 x x) #s(literal -3/200 binary64)) (.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* -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)
(* -1/5040 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1/5040 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(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 x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(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))
(* -1/5040 (pow x 2))
(.f64 #s(literal -1/5040 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -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)
(* -1/6 (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 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)
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 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)
(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))
(/ 120 (pow x 2))
(/.f64 #s(literal 120 binary64) (*.f64 x x))
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2400 binary64) (*.f64 x x)) #s(literal 120 binary64)) x) x)
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 48000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 120 binary64)) (/.f64 #s(literal 2400 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 960000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 120 binary64)) (+.f64 (/.f64 #s(literal 48000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2400 binary64) (.f64 x x)))) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* -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)
(* -1/5040 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1/5040 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(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 x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(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))
(* -1/5040 (pow x 2))
(.f64 #s(literal -1/5040 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -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)
(* -1/6 (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 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 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)
(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))
(/ 120 (pow x 2))
(/.f64 #s(literal 120 binary64) (*.f64 x x))
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2400 binary64) (*.f64 x x)) #s(literal 120 binary64)) x) x)
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 48000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 120 binary64)) (/.f64 #s(literal 2400 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 960000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 120 binary64)) (+.f64 (/.f64 #s(literal 48000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2400 binary64) (.f64 x x)))) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))

rewrite194.0ms (3.2%)

Memory

-9.6MiB live, 150.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	188
0	45	166
1	170	166
2	901	166
0	8553	166

Stop Event

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

Counts

19 → 1 008

Calls

Call 1

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

Outputs
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eval360.0ms (5.9%)

Memory: 19.1MiB live, 207.5MiB allocated
Compiler: Compiled 30 882 to 3 434 computations (88.9% saved)

prune51.0ms (0.8%)

Memory

18.1MiB live, 104.0MiB allocated

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	1 506	6	1 512
Fresh	2	3	5
Picked	1	4	5
Done	0	3	3
Total	1 509	16	1 525

Accuracy

100.0%

Counts

1 525 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.4%	(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x))
✓	69.5%	(-.f64 (sin.f64 x) x)
▶	98.5%	#s(approx (- (sin x) x) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64))))
	98.9%	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
▶	97.9%	#s(approx (- (sin x) x) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -3 binary64))))
✓	99.0%	#s(approx (- (sin x) x) (.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 (*.f64 x x) x)))
▶	99.0%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (*.f64 x x) x)))
✓	98.8%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
✓	98.3%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	98.8%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
	98.3%	#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) #s(literal -1/6 binary64)))
✓	98.3%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
	98.3%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
▶	98.3%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
✓	98.3%	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
✓	6.3%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 264 to 182 computations (31.1% saved)

simplify490.0ms (8%)

Memory

0.3MiB live, 109.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64))))
cost-diff	0	(pow.f64 x #s(literal -3 binary64))
cost-diff	0	(/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -3 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -3 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
cost-diff	-5824	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
cost-diff	0	(*.f64 x #s(literal -1/6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -1/5040 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (*.f64 x x) x))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (*.f64 x x) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	223
0	40	223
1	70	203
2	149	203
3	326	200
4	616	200
5	639	200
6	672	200
7	835	200
8	1077	200
9	1241	200
10	3108	200
11	4011	200
12	4169	200
13	4324	200
14	4433	200
15	4565	200
16	4897	200
17	5213	200
18	5374	200
19	5408	200
20	5408	200
21	5414	200
22	6714	200
23	7318	200
24	7350	200
25	7432	200
26	7518	200
27	7526	200
28	7528	200
29	7632	200
30	7641	200
31	7641	200
32	7642	200
33	7642	200
34	7642	200
35	7718	200
0	8118	197

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (*.f64 x x) x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(.f64 #s(literal -1/5040 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal -1/5040 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 x x)
x
(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -3 binary64))))
(/.f64 #s(literal -1/6 binary64) (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(approx (- (sin x) x) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64))))
(/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)

localize547.0ms (8.9%)

Memory

-52.9MiB live, 186.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	0.3890926383500716	(/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64)))
accuracy	0.5798583004610074	#s(approx (- (sin x) x) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64))))
accuracy	0	(pow.f64 x #s(literal -3 binary64))
accuracy	0.3929988883500716	(/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -3 binary64)))
accuracy	0.9304707713725822	#s(approx (- (sin x) x) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -3 binary64))))
accuracy	0.0078125	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	0.15234375	(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))
accuracy	0.35546875	(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
accuracy	0.5798583004610074	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0.15625	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
accuracy	0.36328125	(*.f64 x #s(literal -1/6 binary64))
accuracy	0.9304707713725822	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
accuracy	0.09375	(.f64 (.f64 x x) x)
accuracy	0.14453125	(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (*.f64 x x) x))
accuracy	0.14453125	(.f64 (.f64 x x) #s(literal -1/5040 binary64))
accuracy	0.4857654324158477	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (*.f64 x x) x)))

Samples

450.0ms	230×	1	valid
7.0ms	14×	2	valid
2.0ms	12×	0	valid

Compiler

Compiled 175 to 24 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 382.0ms

adjust: 321.0ms (84% of total)

ival-mult: 22.0ms (5.8% of total)

const: 13.0ms (3.4% of total)

ival-sin: 7.0ms (1.8% of total)

ival-div: 6.0ms (1.6% of total)

ival-pow: 5.0ms (1.3% of total)

ival-add: 4.0ms (1% of total)

ival-sub: 3.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 x x) x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (patch (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -1/6 binary64)) (patch (.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64))) (patch (.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))) (patch #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -3 binary64)))) (patch #s(approx (- (sin x) x) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -3 binary64))) (patch (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -3 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) (/.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64)))) (patch #s(approx (- (sin x) x) (/.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)) (patch (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify172.0ms (2.8%)

Memory

3.9MiB live, 195.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	1434
1	182	1434
2	541	1434
3	1738	1374
4	4279	1314
5	6585	1314
0	8706	1255

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -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 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (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) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(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) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 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))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -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))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -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)))))
(* 1/120 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -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))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))

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

rewrite250.0ms (4.1%)

Memory

18.5MiB live, 174.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	168
0	40	154
1	131	150
2	781	148
0	8282	146

Stop Event

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

Counts

17 → 793

Calls

Call 1

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

Outputs
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eval201.0ms (3.3%)

Memory: 0.8MiB live, 232.8MiB allocated
Compiler: Compiled 26 382 to 2 512 computations (90.5% saved)

prune43.0ms (0.7%)

Memory

-12.8MiB live, 114.0MiB allocated

Pruning

16 alts after pruning (4 fresh and 12 done)

	Pruned	Kept	Total
New	1 315	1	1 316
Fresh	1	3	4
Picked	0	5	5
Done	0	7	7
Total	1 316	16	1 332

Accuracy

100.0%

Counts

1 332 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.4%	(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x))
✓	69.5%	(-.f64 (sin.f64 x) x)
✓	98.5%	#s(approx (- (sin x) x) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64))))
	98.9%	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
	98.0%	#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -6 binary64))))
✓	97.9%	#s(approx (- (sin x) x) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -3 binary64))))
✓	99.0%	#s(approx (- (sin x) x) (.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 (*.f64 x x) x)))
✓	99.0%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 (*.f64 x x) x)))
✓	98.8%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
✓	98.3%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
✓	98.8%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
✓	98.3%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
	98.3%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
✓	98.3%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
✓	98.3%	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
✓	6.3%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 412 to 203 computations (50.7% saved)

regimes13.0ms (0.2%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0.2%)

Memory

-21.3MiB live, 17.9MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

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
98.3%	1	`x`
98.3%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Memory

4.9MiB live, 4.9MiB 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
6.3%	1	`x`
6.3%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify210.0ms (3.4%)

Memory

-9.9MiB live, 34.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	95
1	40	95
2	42	95
3	43	95

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness558.0ms (9.1%)

Memory

-2.1MiB live, 262.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	160
0	52	160
1	196	143
2	1389	143
0	8272	143
0	47	170
1	121	164
2	313	164
3	939	152
4	2033	140
5	3880	140
0	8027	128

Stop Event

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

Compiler

Compiled 172 to 104 computations (39.5% saved)

preprocess114.0ms (1.9%)

Memory: 8.5MiB live, 103.0MiB allocated
Remove: (negabs x)
Compiler: Compiled 300 to 168 computations (44% 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%)

sample947.0ms (15.5%)

explain69.0ms (1.1%)

preprocess18.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize24.0ms (0.4%)

series1.0ms (0%)

simplify116.0ms (1.9%)

rewrite152.0ms (2.5%)

eval20.0ms (0.3%)

prune8.0ms (0.1%)

simplify129.0ms (2.1%)

localize172.0ms (2.8%)

series26.0ms (0.4%)

simplify151.0ms (2.5%)

rewrite177.0ms (2.9%)

eval122.0ms (2%)

prune32.0ms (0.5%)

simplify291.0ms (4.8%)

localize222.0ms (3.6%)

series13.0ms (0.2%)

simplify169.0ms (2.8%)

rewrite194.0ms (3.2%)

eval360.0ms (5.9%)

prune51.0ms (0.8%)

simplify490.0ms (8%)

localize547.0ms (8.9%)

series13.0ms (0.2%)

simplify172.0ms (2.8%)

rewrite250.0ms (4.1%)

eval201.0ms (3.3%)

prune43.0ms (0.7%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

simplify210.0ms (3.4%)

soundness558.0ms (9.1%)

preprocess114.0ms (1.9%)

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