Metrics for bug500 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample900.0ms (14.6%)

Memory

-9.0MiB live, 726.2MiB allocated

Samples

551.0ms	7 256×	1	valid
82.0ms	532×	2	valid
20.0ms	468×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 465.0ms

ival-sin: 215.0ms (46.2% of total)

adjust: 100.0ms (21.5% of total)

ival-sub: 84.0ms (18.1% of total)

ival-<: 42.0ms (9% of total)

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

exact: 10.0ms (2.1% of total)

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

Bogosity

explain61.0ms (1%)

Memory

16.0MiB live, 55.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 x) x)`	cancellation	84	0

Confusion

	Predicted +	Predicted -
+	84	0
-	0	172

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	84	0	0
-	0	0	172

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	172
1	84

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms	462×	1	valid
3.0ms	24×	2	valid
1.0ms	26×	0	valid

Compiler

Compiled 23 to 13 computations (43.5% saved)

Precisions

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

ival-sin: 11.0ms (48.9% of total)

adjust: 6.0ms (26.7% of total)

ival-sub: 5.0ms (22.2% of total)

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

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

preprocess18.0ms (0.3%)

Memory

17.1MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
32×	`lower-+.f64`

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 5 to 3 computations (40% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.2%	(-.f64 (sin.f64 x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

simplify7.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB 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)

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
32×	`lower-+.f64`

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

localize26.0ms (0.4%)

Memory

-18.9MiB live, 19.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(sin.f64 x)
accuracy	19.048377575827516	(-.f64 (sin.f64 x) x)

Samples

19.0ms	231×	1	valid
2.0ms	12×	2	valid
0.0ms	13×	0	valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

adjust: 5.0ms (38.5% of total)

ival-sin: 5.0ms (38.5% of total)

ival-sub: 2.0ms (15.4% of total)

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

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

series1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

simplify173.0ms (2.8%)

Memory

-14.7MiB live, 141.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 140×	`lower-fma.f64`
12 140×	`lower-fma.f32`
3 244×	`lower-*.f64`
3 244×	`lower-*.f32`
2 514×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	170
1	121	164
2	313	164
3	949	152
4	2043	140
5	3944	140
0	8028	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))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)

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

rewrite243.0ms (4%)

Memory

-4.3MiB live, 206.4MiB allocated

Rules

4 646×	`lower-/.f64`
4 646×	`lower-/.f32`
4 252×	`lower-fma.f64`
4 252×	`lower-fma.f32`
3 550×	`lower-*.f64`

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
(+.f64 (sin.f64 x) (neg.f64 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x)))))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x))) #s(literal -1 binary64)))
(-.f64 (sin.f64 x) x)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x))))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x))))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (/.f64 (.f64 x x) (+.f64 x (sin.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x (sin.f64 x))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 x (neg.f64 x))) (+.f64 x (sin.f64 x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x (sin.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)) (+.f64 x (sin.f64 x))))
(-.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) x)
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (sin.f64 x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x (+.f64 x (sin.f64 x))))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (.f64 x (sin.f64 x)))))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (.f64 x (sin.f64 x)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (.f64 x (sin.f64 x)))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (.f64 x (sin.f64 x)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (.f64 x (sin.f64 x)))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 x (sin.f64 x)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (+.f64 x (sin.f64 x))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (+.f64 x (sin.f64 x))))
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(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x (+.f64 x (sin.f64 x))))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x)))) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x))))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x)))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x))))))) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x (+.f64 x (sin.f64 x))))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (.f64 x x) (+.f64 x (sin.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (.f64 x x) (+.f64 x (sin.f64 x)))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x (sin.f64 x))))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (fma.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) (+.f64 (sin.f64 x) #s(literal 0 binary64)) (fma.f64 x x (*.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x (+.f64 x (sin.f64 x))))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x)))) (.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x)))))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x (+.f64 x (sin.f64 x))))))
(.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))
(.f64 (+.f64 x (sin.f64 x)) (.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))))
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 (sin.f64 x) x) (+.f64 x (sin.f64 x))))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x (+.f64 x (sin.f64 x)))))))
(.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (sin.f64 x)))))
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (-.f64 x (sin.f64 x)))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))) (-.f64 (sin.f64 x) x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 x (+.f64 x (sin.f64 x))) #s(literal 3 binary64)))) (fma.f64 (.f64 x (+.f64 x (sin.f64 x))) (-.f64 (.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 x (+.f64 x (sin.f64 x))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x (+.f64 x (sin.f64 x))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (.f64 x (+.f64 x (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(sin.f64 x)
(pow.f64 (sin.f64 x) #s(literal 1 binary64))

eval21.0ms (0.3%)

Memory: 26.9MiB live, 26.9MiB allocated
Compiler: Compiled 7 811 to 588 computations (92.5% saved)

prune28.0ms (0.5%)

Memory

2.0MiB live, 39.8MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	193	4	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	193	5	198

Accuracy

99.9%

Counts

198 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(-.f64 (sin.f64 x) x)
▶	99.4%	#s(approx (- (sin x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
▶	99.4%	#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
▶	99.1%	#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
▶	6.4%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 56 to 31 computations (44.6% saved)

simplify150.0ms (2.4%)

Memory

-6.2MiB live, 111.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
cost-diff	0	(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
cost-diff	0	#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (sin x) x) (neg.f64 x))

Rules

10 666×	`lower-fma.f32`
10 658×	`lower-fma.f64`
3 154×	`lower-*.f32`
3 134×	`lower-*.f64`
1 896×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	204
0	45	192
1	102	188
2	267	188
3	630	188
4	1521	188
5	2901	188
6	3461	188
7	3652	188
8	3717	188
9	4026	188
10	6406	188
0	8172	188

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (2.3%)

Memory

8.7MiB live, 123.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(.f64 x (.f64 x x))
accuracy	0.11328125	(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
accuracy	0.24627531968032038	#s(approx (- (sin x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
accuracy	0.4375	(*.f64 x #s(literal 1/362880 binary64))
accuracy	0.08203125	(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
accuracy	0.12109375	(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
accuracy	0.2462124900601941	#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
accuracy	0.31640625	(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.0703125	(.f64 x (.f64 x x))
accuracy	0.12109375	(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
accuracy	0.49237533215939905	#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
accuracy	0	(neg.f64 x)
accuracy	59.893309235833534	#s(approx (- (sin x) x) (neg.f64 x))

Samples

97.0ms	231×	1	valid
7.0ms	12×	2	valid
3.0ms	13×	0	valid

Compiler

Compiled 173 to 28 computations (83.8% saved)

Precisions

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

ival-mult: 34.0ms (41.8% of total)

const: 20.0ms (24.6% of total)

adjust: 10.0ms (12.3% of total)

ival-add: 8.0ms (9.8% of total)

ival-sin: 6.0ms (7.4% of total)

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

ival-neg: 1.0ms (1.2% of total)

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

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

series11.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#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 #s(literal -1/6 binary64) (.f64 x (.f64 x x)))) (patch #s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (patch #s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (patch (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/362880 binary64)) (patch (.f64 x #s(literal 1/362880 binary64)) #<representation binary64>) () ())

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

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (+ (* x (* x 1/120)) -1/6))
1.0ms	x	@	-inf	(* -1/6 (* x (* x x)))
1.0ms	x	@	0	(* -1/6 (* x (* x x)))
0.0ms	x	@	inf	(* (* x (* x x)) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6))
0.0ms	x	@	inf	(* x (* x (* x (+ (* x (* x 1/120)) -1/6))))

simplify186.0ms (3%)

Memory

0.3MiB live, 155.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 378×	`lower-fma.f64`
10 378×	`lower-fma.f32`
2 964×	`lower-*.f64`
2 964×	`lower-*.f32`
2 338×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1114
1	219	1114
2	647	1114
3	2030	1066
4	5139	1018
5	7510	1018
0	8281	973

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

rewrite498.0ms (8.1%)

Memory

-245.6MiB live, 216.8MiB allocated

Rules

6 832×	`lower-fma.f32`
6 824×	`lower-fma.f64`
4 994×	`lower-*.f32`
4 974×	`lower-*.f64`
3 498×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	135
0	45	125
1	166	121
2	1133	121
0	8222	121

Stop Event

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

Counts

13 → 306

Calls

Call 1

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

Outputs
#s(approx (- (sin x) x) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(neg.f64 x)
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (sin x) x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
(.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x))
(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 x x))
(+.f64 (.f64 (neg.f64 x) #s(literal 0 binary64)) (.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (neg.f64 x) (*.f64 x x))
(neg.f64 (neg.f64 (*.f64 x x)))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 (.f64 x x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) x))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x (.f64 x x)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x))) (.f64 x x))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 (.f64 x (.f64 x x)))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (.f64 x x))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x)))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) x))
(+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (.f64 x x))) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (.f64 x (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) x)) (.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) x)))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x))))
(+.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x))) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))))
(+.f64 (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))) x) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) x))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64))) x))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64))) x) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x))
(+.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) x) x) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) x) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/120 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x)))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x))
(fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 x (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) x) (.f64 x (.f64 (*.f64 x #s(literal -1/6 binary64)) x)))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))
(fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/120 binary64))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/120 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x))
(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/120 binary64))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) (.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/120 binary64))))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))) x (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x (.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/120 binary64))) x))
(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64))) x (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) x) x (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) x) x (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) x) x (.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/120 binary64))))
(fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) x) x (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) x) x (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) x) x (.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) x) x (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x (.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/120 binary64))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x (.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) x (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))) #s(literal 3 binary64)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 3 binary64)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x))
(.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
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(.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x) (.f64 x x))
(.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
(.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(*.f64 x #s(literal 1/362880 binary64))
(*.f64 #s(literal 1/362880 binary64) x)

eval55.0ms (0.9%)

Memory: -4.6MiB live, 69.9MiB allocated
Compiler: Compiled 12 939 to 876 computations (93.2% saved)

prune63.0ms (1%)

Memory

-0.2MiB live, 84.7MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	536	8	544
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	538	11	549

Accuracy

100.0%

Counts

549 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(-.f64 (sin.f64 x) x)
	99.4%	#s(approx (- (sin x) x) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
▶	99.1%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x))
▶	99.4%	#s(approx (- (sin x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
	99.0%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
▶	99.1%	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
▶	17.0%	#s(approx (- (sin x) x) (.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
	99.4%	#s(approx (- (sin x) x) (.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal -1/6 binary64))))))
✓	99.1%	#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
✓	6.4%	#s(approx (- (sin x) x) (neg.f64 x))
▶	37.1%	#s(approx (- (sin x) x) #s(approx (* x (* x (* x (+ (* x (* x 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))))

Compiler

Compiled 222 to 130 computations (41.4% saved)

simplify123.0ms (2%)

Memory

28.8MiB live, 104.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* x (* x (* x (+ (* x (* x 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
cost-diff	0	#s(approx (- (sin x) x) #s(approx (* x (* x (* x (+ (* x (* x 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))))
cost-diff	1152	(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
cost-diff	5184	(pow.f64 x #s(literal 5 binary64))
cost-diff	0	(neg.f64 (.f64 x (.f64 x x)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
cost-diff	64	(fma.f64 x x #s(literal 0 binary64))
cost-diff	1984	(.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
cost-diff	0	(*.f64 x #s(literal -1/6 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal -1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 x x))
cost-diff	0	(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))

Rules

3 462×	`lower-*.f32`
3 442×	`lower-*.f64`
2 116×	`div-sub`
2 008×	`lower-/.f32`
2 004×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	251
0	57	220
1	119	216
2	255	204
3	665	202
4	1781	202
5	3163	202
6	3945	202
7	6728	202
0	8121	202

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(.f64 #s(literal -1/6 binary64) (.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
x
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x))
(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
(.f64 (.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x #s(literal -1/6 binary64))
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(neg.f64 (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
#s(literal 1 binary64)
(fma.f64 x x #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (sin x) x) #s(approx (* x (* x (* x (+ (* x (* x 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))))
#s(approx (* x (* x (* x (+ (* x (* x 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
#s(literal 1/120 binary64)
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)

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

localize163.0ms (2.7%)

Memory

-13.4MiB live, 143.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
accuracy	0.20703125	(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
accuracy	0.2462124900601941	#s(approx (- (sin x) x) #s(approx (* x (* x (* x (+ (* x (* x 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))))
accuracy	39.46443610127042	(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
accuracy	0.0703125	(.f64 x (.f64 x x))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
accuracy	42.136392245144535	(.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
accuracy	59.893309235833534	#s(approx (- (sin x) x) (.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
accuracy	0.08984375	(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
accuracy	0.12109375	(.f64 (.f64 x #s(literal -1/6 binary64)) x)
accuracy	0.32421875	(*.f64 x #s(literal -1/6 binary64))
accuracy	0.49237533215939905	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x))
accuracy	0	(*.f64 x x)
accuracy	0.08984375	(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
accuracy	0.15625	(.f64 #s(literal -1/6 binary64) (.f64 x x))
accuracy	0.49237533215939905	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
accuracy	0.0703125	(.f64 x (.f64 x x))
accuracy	0.078125	(*.f64 x #s(literal 1/120 binary64))
accuracy	0.11328125	(.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
accuracy	0.2462124900601941	#s(approx (- (sin x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))

Samples

105.0ms	231×	1	valid
7.0ms	12×	2	valid
4.0ms	13×	0	valid

Compiler

Compiled 179 to 32 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 40.0ms (46.1% of total)

adjust: 10.0ms (11.5% of total)

const: 10.0ms (11.5% of total)

ival-div: 6.0ms (6.9% of total)

ival-add: 6.0ms (6.9% of total)

ival-sin: 6.0ms (6.9% of total)

ival-sub: 3.0ms (3.5% of total)

ival-pow: 3.0ms (3.5% of total)

ival-neg: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

13.2MiB live, 13.1MiB allocated

Counts

23 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(pow x 5)
0.0ms	x	@	-inf	(* x 1/120)
0.0ms	x	@	inf	(* x 1/120)
0.0ms	x	@	0	(* (pow x 5) (+ 1/120 (/ -1/6 (* x x))))
0.0ms	x	@	0	(* (neg (* x (* x x))) (/ 1 (+ (* x x) 0)))

simplify174.0ms (2.8%)

Memory

-16.9MiB live, 137.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 432×	`lower-fma.f64`
7 432×	`lower-fma.f32`
3 896×	`lower-*.f64`
3 896×	`lower-*.f32`
1 874×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	1636
1	132	1636
2	369	1600
3	1093	1540
4	2444	1480
5	4591	1480
0	8183	1441

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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

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

rewrite339.0ms (5.5%)

Memory

12.1MiB live, 325.8MiB allocated

Rules

11 656×	`lower-fma.f32`
11 652×	`lower-fma.f64`
4 786×	`lower-*.f32`
4 766×	`lower-*.f64`
3 348×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	217
0	57	184
1	197	182
2	1287	168
0	9222	167

Stop Event

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

Counts

23 → 2 354

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(.f64 x (.f64 x x))
(*.f64 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(approx (- (sin x) x) (.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x))
(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
(.f64 (.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x #s(literal -1/6 binary64))
(.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 x x #s(literal 0 binary64))
#s(approx (- (sin x) x) (.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(neg.f64 (.f64 x (.f64 x x)))
(pow.f64 x #s(literal 5 binary64))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
#s(approx (- (sin x) x) #s(approx (* x (* x (* x (+ (* x (* x 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))))
#s(approx (* x (* x (* x (+ (* x (* x 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(*.f64 x #s(literal 1/120 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
(+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))

Outputs
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64))
(+.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 0 binary64)))
(+.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(+.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (.f64 #s(literal 0 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)))) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 0 binary64)) (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 (.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))) #s(literal 0 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 x (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/120 binary64)))))
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(.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/6 binary64) x))
(.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (pow.f64 (.f64 x (.f64 x #s(literal -6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 x (*.f64 x #s(literal -6 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))
(.f64 (.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) x) (.f64 x (*.f64 x x)))
(.f64 (.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x))) x)
(.f64 (.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))) x) x)
(.f64 (.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64))
(+.f64 (/.f64 #s(literal 1/14400 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (neg.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))
(fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/120 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64) #s(literal 1/120 binary64))
(fma.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (neg.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/120 binary64))
(fma.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1/120 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/6 binary64) x) #s(literal 1/120 binary64))
(fma.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))) #s(literal 1/120 binary64))
(fma.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (pow.f64 (.f64 x (.f64 x #s(literal -6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 x (.f64 x #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/120 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) x) (.f64 x (.f64 x x)) #s(literal 1/120 binary64))
(fma.f64 (.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)) (.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) x #s(literal 1/120 binary64))
(fma.f64 (.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) x) x #s(literal 1/120 binary64))
(fma.f64 (.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/120 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/1728000 binary64)) (fma.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x x)))) (+.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/14400 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64)))
(/.f64 (+.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/1728000 binary64)) (neg.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))))
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/1728000 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal -1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(/.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/14400 binary64)) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/1728000 binary64))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/14400 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/14400 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (/.f64 #s(literal 1/14400 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (fma.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 (/.f64 #s(literal 1/14400 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/14400 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (/.f64 #s(literal 1/14400 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))) (.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))) (+.f64 (/.f64 #s(literal 1/14400 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(.f64 (+.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))))
(.f64 (+.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x x))))))
(.f64 (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64)))))
(.f64 (+.f64 #s(literal -1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))

eval320.0ms (5.2%)

Memory: 32.9MiB live, 396.0MiB allocated
Compiler: Compiled 73 958 to 4 049 computations (94.5% saved)

prune393.0ms (6.4%)

Memory

-18.2MiB live, 646.9MiB allocated

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	3 033	6	3 039
Fresh	0	3	3
Picked	2	3	5
Done	0	3	3
Total	3 035	15	3 050

Accuracy

100.0%

Counts

3 050 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(-.f64 (sin.f64 x) x)
▶	37.5%	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) x) (.f64 x x)))
	37.9%	#s(approx (- (sin x) x) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal -6 binary64)))))
	99.4%	#s(approx (- (sin x) x) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
▶	99.0%	#s(approx (- (sin x) x) (/.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
	88.6%	#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) x)))
	17.0%	#s(approx (- (sin x) x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x x))))
▶	1.9%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) x))
✓	99.1%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x))
✓	99.4%	#s(approx (- (sin x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
▶	99.0%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
✓	99.1%	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
▶	99.4%	#s(approx (- (sin x) x) (.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal -1/6 binary64))))))
✓	99.1%	#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
✓	6.4%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 328 to 176 computations (46.3% saved)

simplify166.0ms (2.7%)

Memory

-9.7MiB live, 110.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) x))
cost-diff	192	(.f64 (.f64 (.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) x)
cost-diff	640	(.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))))
cost-diff	2304	(.f64 (.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))
cost-diff	0	(.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))) x)
cost-diff	0	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) x) (.f64 x x)))
cost-diff	1664	(/.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) x) (.f64 x x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(*.f64 x #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (/.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
cost-diff	1088	(/.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
cost-diff	0	(*.f64 x #s(literal -1/6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
cost-diff	0	(.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (.f64 x #s(literal -1/6 binary64))))
cost-diff	0	(.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal -1/6 binary64)))))
cost-diff	0	#s(approx (- (sin x) x) (.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal -1/6 binary64))))))
cost-diff	320	(fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal -1/6 binary64)))

Rules

3 390×	`lower-neg.f32`
3 390×	`lower-neg.f64`
3 150×	`lower-*.f32`
3 126×	`lower-*.f64`
2 794×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	302
0	49	254
1	110	219
2	283	180
3	854	180
4	1940	180
5	3456	180
0	8452	176

Stop Event

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

Calls

Call 1

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

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

localize224.0ms (3.6%)

Memory

42.5MiB live, 155.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(.f64 x (.f64 x x))
accuracy	4.656259460533838	(.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))))
accuracy	43.304328510954534	(.f64 (.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
accuracy	59.893309235833534	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) x))
accuracy	0.0703125	(.f64 x (.f64 x x))
accuracy	0.109375	(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))
accuracy	0.49237533215939905	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) x) (.f64 x x)))
accuracy	38.9292826033288	(/.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) x) (.f64 x x))
accuracy	0.08984375	(/.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0.32421875	(*.f64 x #s(literal -1/6 binary64))
accuracy	0.49237533215939905	#s(approx (- (sin x) x) (/.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
accuracy	0	(*.f64 x x)
accuracy	0.11328125	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
accuracy	0.32421875	(*.f64 x #s(literal -1/6 binary64))
accuracy	0.49237533215939905	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
accuracy	0.12109375	(.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (.f64 x #s(literal -1/6 binary64))))
accuracy	0.1484375	(.f64 (.f64 x x) #s(literal 1/120 binary64))
accuracy	0.2462124900601941	#s(approx (- (sin x) x) (.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal -1/6 binary64))))))
accuracy	0.32421875	(*.f64 x #s(literal -1/6 binary64))

Samples

136.0ms	231×	1	valid
45.0ms	12×	2	valid
3.0ms	13×	0	valid

Compiler

Compiled 238 to 28 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 75.0ms (66.9% of total)

const: 10.0ms (8.9% of total)

ival-div: 9.0ms (8% of total)

adjust: 7.0ms (6.2% of total)

ival-sin: 6.0ms (5.4% of total)

ival-sub: 3.0ms (2.7% of total)

ival-add: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series68.0ms (1.1%)

Memory

-27.4MiB live, 17.0MiB allocated

Counts

21 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
57.0ms	x	@	-inf	(* x (* x (+ (* (* (* x x) 1/120) x) (* x -1/6))))
0.0ms	x	@	0	(* -1/6 (* x (* x (* x x))))
0.0ms	x	@	-inf	(* x (+ (* (* (* x x) 1/120) x) (* x -1/6)))
0.0ms	x	@	0	(* x (* x (+ (* (* (* x x) 1/120) x) (* x -1/6))))
0.0ms	x	@	inf	(* (* x x) 1/120)

simplify307.0ms (5%)

Memory

30.2MiB live, 223.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 396×	`lower-fma.f64`
16 396×	`lower-fma.f32`
3 310×	`lower-*.f64`
3 310×	`lower-*.f32`
2 146×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	1486
1	148	1486
2	423	1486
3	1343	1426
4	3255	1366
5	6108	1366
0	8045	1315

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

rewrite239.0ms (3.9%)

Memory

-8.2MiB live, 311.0MiB allocated

Rules

7 026×	`lower-fma.f32`
7 024×	`lower-fma.f64`
5 262×	`lower-*.f32`
5 238×	`lower-*.f64`
3 226×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	244
0	49	192
1	160	164
2	918	133
0	8249	129

Stop Event

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

Counts

21 → 1 126

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x #s(literal -1/6 binary64)))
(+.f64 (.f64 x (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(-.f64 (.f64 x (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 x (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64)))) (.f64 x (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 x #s(literal -1/6 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 x (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/120 binary64))) (.f64 x #s(literal -1/6 binary64)))
(fma.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 #s(literal -1/6 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/120 binary64)) (.f64 x #s(literal -1/6 binary64)))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) #s(literal 1 binary64) (.f64 x #s(literal -1/6 binary64)))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (neg.f64 x) #s(literal 1/6 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (neg.f64 x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (/.f64 #s(literal -1/6 binary64) x) (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/120 binary64)) (.f64 x #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))) (/.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))) (/.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (/.f64 #s(literal -1/6 binary64) (neg.f64 x)) (.f64 x (neg.f64 x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) x) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x) (/.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64))) x) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))) x) (/.f64 (.f64 x #s(literal 1/120 binary64)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))) x) (/.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (.f64 x #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) #s(literal 1 binary64)) (.f64 x x) (.f64 x #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) #s(literal -1 binary64)) (.f64 x (neg.f64 x)) (.f64 x #s(literal -1/6 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64)))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal 1/36 binary64)))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/720 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))))
(neg.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal 1/36 binary64))) (neg.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) (fma.f64 x (.f64 x #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal 1/36 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/14400 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))))
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(.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) x))
(.f64 (neg.f64 x) (.f64 x (neg.f64 x)))
(.f64 (neg.f64 x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (neg.f64 x))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x (.f64 x (neg.f64 x))) (/.f64 (.f64 x x) (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x x)) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x x)))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (neg.f64 x))) #s(literal -1 binary64))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))

eval289.0ms (4.7%)

Memory: -23.4MiB live, 339.6MiB allocated
Compiler: Compiled 37 279 to 3 343 computations (91% saved)

prune250.0ms (4.1%)

Memory

-0.9MiB live, 400.9MiB allocated

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	1 856	4	1 860
Fresh	3	1	4
Picked	2	3	5
Done	0	6	6
Total	1 861	14	1 875

Accuracy

100.0%

Counts

1 875 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(-.f64 (sin.f64 x) x)
	99.1%	#s(approx (- (sin x) x) (/.f64 (*.f64 x x) (/.f64 #s(literal -6 binary64) x)))
	99.0%	#s(approx (- (sin x) x) (/.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (.f64 x (*.f64 x x)))))
	98.4%	#s(approx (- (sin x) x) (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
	91.8%	#s(approx (- (sin x) x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
	17.0%	#s(approx (- (sin x) x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x x))))
✓	1.9%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) x))
✓	99.1%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x))
✓	99.4%	#s(approx (- (sin x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
✓	99.0%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
✓	99.1%	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
✓	99.4%	#s(approx (- (sin x) x) (.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal -1/6 binary64))))))
✓	99.1%	#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
✓	6.4%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 439 to 162 computations (63.1% saved)

regimes13.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 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) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x))
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
#s(approx (- (sin x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (*.f64 x x) (/.f64 #s(literal -6 binary64) x)))
#s(approx (- (sin x) x) (.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (- (sin x) x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x x))))
#s(approx (- (sin x) x) (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
#s(approx (- (sin x) x) (/.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
#s(approx (- (sin x) x) (.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
#s(approx (- (sin x) x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (- (sin x) x) (/.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (.f64 x (*.f64 x x)))))
#s(approx (- (sin x) x) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal -6 binary64)))))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) x) (.f64 x x)))
#s(approx (- (sin x) x) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) x))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) #s(approx (* x (* x (* x (+ (* x (* x 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))))

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

Calls

2 calls:

6.0ms	x
5.0ms	(-.f64 (sin.f64 x) x)

Results

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes6.0ms (0.1%)

Memory

-30.9MiB live, 7.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
6.4%	1	`x`
6.4%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify6.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	30	53
2	32	53
3	33	53

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness428.0ms (7%)

Memory

-29.7MiB live, 265.2MiB allocated

Rules

12 140×	`lower-fma.f64`
12 140×	`lower-fma.f32`
6 832×	`lower-fma.f32`
6 824×	`lower-fma.f64`
4 994×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	135
0	45	125
1	166	121
2	1133	121
0	8222	121
0	47	170
1	121	164
2	313	164
3	949	152
4	2043	140
5	3944	140
0	8028	128

Stop Event

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

Compiler

Compiled 89 to 44 computations (50.6% saved)

preprocess41.0ms (0.7%)

Memory: 30.7MiB live, 69.6MiB allocated
Remove: (negabs x)
Compiler: Compiled 198 to 108 computations (45.5% 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%)

sample900.0ms (14.6%)

explain61.0ms (1%)

preprocess18.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.1%)

localize26.0ms (0.4%)

series1.0ms (0%)

simplify173.0ms (2.8%)

rewrite243.0ms (4%)

eval21.0ms (0.3%)

prune28.0ms (0.5%)

simplify150.0ms (2.4%)

localize140.0ms (2.3%)

series11.0ms (0.2%)

simplify186.0ms (3%)

rewrite498.0ms (8.1%)

eval55.0ms (0.9%)

prune63.0ms (1%)

simplify123.0ms (2%)

localize163.0ms (2.7%)

series12.0ms (0.2%)

simplify174.0ms (2.8%)

rewrite339.0ms (5.5%)

eval320.0ms (5.2%)

prune393.0ms (6.4%)

simplify166.0ms (2.7%)

localize224.0ms (3.6%)

series68.0ms (1.1%)

simplify307.0ms (5%)

rewrite239.0ms (3.9%)

eval289.0ms (4.7%)

prune250.0ms (4.1%)

regimes13.0ms (0.2%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

simplify6.0ms (0.1%)

soundness428.0ms (7%)

preprocess41.0ms (0.7%)

end0.0ms (0%)

Profiling

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