Metrics for bug500 (missed optimization)

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)

sample818.0ms (11.4%)

Memory

-12.4MiB live, 690.5MiB allocated

Samples

518.0ms	7 253×	1	valid
78.0ms	541×	2	valid
19.0ms	462×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 430.0ms

ival-sin: 207.0ms (48.1% of total)

ival-sub: 82.0ms (19.1% of total)

adjust: 78.0ms (18.1% of total)

ival-<: 38.0ms (8.8% of total)

ival-and: 11.0ms (2.6% of total)

exact: 10.0ms (2.3% of total)

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

Bogosity

preprocess17.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated

Algorithm

2×	egg-herbie

Rules

80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`
32×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	17	13
2	50	12
3	102	12
4	132	12
5	134	12
0	3	4
1	5	4
2	10	4
3	16	4
4	24	4
5	39	4
6	72	4
7	96	4
8	138	4
9	155	4
10	167	4
0	167	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (sin x) x)

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

Call 2

Inputs
(- (sin x) x)
(- (sin (neg x)) (neg x))
(neg (- (sin (neg x)) (neg x)))

Outputs
(- (sin x) x)
(- (sin (neg x)) (neg x))
(- x (sin x))
(neg (- (sin (neg x)) (neg x)))
(- (sin x) x)

Symmetry

(negabs x)

explain63.0ms (0.9%)

Memory

21.1MiB live, 60.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
85	2	(2.6719943480846813e-108)	-	`(-.f64 (sin.f64 x) x)`
0	0	-	-	`(sin.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 x) x)`	cancellation	87	1

Confusion

	Predicted +	Predicted -
+	85	0
-	2	169

Precision

0.9770114942528736

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	85	0	0
-	2	1	168

Precision?

0.9659090909090909

Recall?

1.0

Freqs

test

number	freq
0	169
1	87

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms	460×	1	valid
4.0ms	26×	2	valid
1.0ms	26×	0	valid

Compiler

Compiled 28 to 16 computations (42.9% saved)

Precisions

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

ival-sin: 12.0ms (54.6% of total)

ival-sub: 5.0ms (22.8% of total)

adjust: 4.0ms (18.2% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.1%	(-.f64 (sin.f64 x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

simplify9.0ms (0.1%)

Memory

-33.1MiB live, 5.7MiB 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×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`
32×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	7
1	5	7
2	10	7
3	16	7
4	24	7
5	39	7
6	72	7
7	96	7
8	138	7
9	155	7
10	167	7
0	167	7

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (sin x) x)
(sin x)
x

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

localize23.0ms (0.3%)

Memory

20.3MiB live, 20.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	69.1%	(-.f64 (sin.f64 x) x)

Samples

15.0ms	230×	1	valid
2.0ms	13×	2	valid
1.0ms	13×	0	valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sin: 6.0ms (55.2% of total)

adjust: 2.0ms (18.4% of total)

ival-sub: 2.0ms (18.4% of total)

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

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

series1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite273.0ms (3.8%)

Memory

-2.6MiB live, 272.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 646×	`/-lowering-/.f32`
4 646×	`/-lowering-/.f64`
4 252×	`accelerator-lowering-fma.f32`
4 252×	`accelerator-lowering-fma.f64`
3 550×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
1	18	6
2	146	6
3	1494	6
0	8327	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 174

Calls

Call 1

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

simplify266.0ms (3.7%)

Memory

7.0MiB live, 251.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 140×	`accelerator-lowering-fma.f32`
12 140×	`accelerator-lowering-fma.f64`
3 244×	`-lowering-.f32`
3 244×	`-lowering-.f64`
2 514×	`+-lowering-+.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 → 24

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 x (.f64 (.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)

eval21.0ms (0.3%)

Memory: -10.7MiB live, 27.6MiB allocated
Compiler: Compiled 7 791 to 591 computations (92.4% saved)

prune34.0ms (0.5%)

Memory

9.9MiB live, 48.8MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	188	10	198
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	188	11	199

Accuracy

99.9%

Counts

199 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.2%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (+.f64 x (sin.f64 x)) (.f64 x x))) (+.f64 x (sin.f64 x))) (.f64 (+.f64 x (sin.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (*.f64 x x))))
▶	54.2%	(/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (neg.f64 x) (sin.f64 x)))
	68.1%	(-.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x) x)
	54.2%	(-.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))))
✓	69.1%	(-.f64 (sin.f64 x) x)
	67.3%	(-.f64 x x)
	98.9%	(.f64 x (.f64 (.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))))
▶	98.9%	(.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)))))
▶	98.7%	(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
▶	98.4%	(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
▶	6.6%	(neg.f64 x)

Compiler

Compiled 323 to 179 computations (44.6% saved)

simplify419.0ms (5.9%)

Memory

-7.4MiB live, 306.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (neg.f64 x) (sin.f64 x)))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
✓	cost-diff	128	(-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
✓	cost-diff	0	(fma.f64 x (*.f64 x #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	(*.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	(neg.f64 x)
✓	cost-diff	0	(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))
✓	cost-diff	0	(.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)))
✓	cost-diff	0	(.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))))
✓	cost-diff	0	(.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)))))

Rules

18 152×	`accelerator-lowering-fma.f32`
18 152×	`accelerator-lowering-fma.f64`
2 838×	`-lowering-.f32`
2 838×	`-lowering-.f64`
1 988×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	209
1	92	205
2	262	205
3	552	205
4	919	204
5	1747	204
6	3384	204
7	5774	204
8	6794	204
9	7311	204
10	7327	204
11	7328	204
12	7328	204
13	7500	204
14	7500	204
0	8139	187

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))))
x
(* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))
(* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))
(+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)
(* x x)
(+ (* x (* x -1/5040)) 1/120)
(* x -1/5040)
-1/5040
1/120
-1/6
(neg x)
x
(* -1/6 (* x (* x x)))
-1/6
(* x (* x x))
x
(* x x)
(* x (* x (* x (+ (* x (* x 1/120)) -1/6))))
x
(* x (* x (+ (* x (* x 1/120)) -1/6)))
(* x (+ (* x (* x 1/120)) -1/6))
(+ (* x (* x 1/120)) -1/6)
(* x 1/120)
1/120
-1/6
(/ (- (* x x) (+ 1/2 (* -1/2 (cos (+ x x))))) (- (neg x) (sin x)))
(- (* x x) (+ 1/2 (* -1/2 (cos (+ x x)))))
(* x x)
x
(+ 1/2 (* -1/2 (cos (+ x x))))
1/2
(* -1/2 (cos (+ x x)))
-1/2
(cos (+ x x))
(+ x x)
(- (neg x) (sin x))
(neg x)
(sin x)

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

localize211.0ms (2.9%)

Memory

20.8MiB live, 180.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (neg.f64 x) (sin.f64 x))
✓	accuracy	94.5%	(/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (neg.f64 x) (sin.f64 x)))
✓	accuracy	74.9%	(-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
✓	accuracy	55.1%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
✓	accuracy	99.9%	(*.f64 x #s(literal 1/120 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
✓	accuracy	99.6%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(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))
✓	accuracy	99.8%	(.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))))
✓	accuracy	99.8%	(.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)))))
✓	accuracy	99.6%	(.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)))

Samples

159.0ms	251×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 202 to 34 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-cos: 46.0ms (34.5% of total)

ival-mult: 39.0ms (29.3% of total)

const: 15.0ms (11.3% of total)

adjust: 12.0ms (9% of total)

ival-add: 11.0ms (8.3% of total)

ival-sub: 5.0ms (3.8% of total)

ival-div: 3.0ms (2.3% of total)

ival-sin: 2.0ms (1.5% of total)

ival-neg: 1.0ms (0.8% of total)

exact: 0.0ms (0% of total)

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

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

series20.0ms (0.3%)

Memory

-21.0MiB live, 16.6MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (patch (.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))))) #<representation binary64>) () ())
#s(alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (patch (.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)))) #<representation binary64>) () ())
#s(alt (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (patch (.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))) #<representation binary64>) () ())
#s(alt (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (patch (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)) #<representation binary64>) () ())
#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (* -1/6 (* x (* x x))) (patch (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))) #<representation binary64>) () ())
#s(alt (* x (* x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (* x (* x (* x (+ (* x (* x 1/120)) -1/6)))) (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 (* x (* x (+ (* x (* x 1/120)) -1/6))) (patch (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (* x (+ (* x (* x 1/120)) -1/6)) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (+ (* x (* x 1/120)) -1/6) (patch (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (- (* x x) (+ 1/2 (* -1/2 (cos (+ x x))))) (patch (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) #<representation binary64>) () ())
#s(alt (+ 1/2 (* -1/2 (cos (+ x x)))) (patch (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #<representation binary64>) () ())
#s(alt (/ (- (* x x) (+ 1/2 (* -1/2 (cos (+ x x))))) (- (neg x) (sin x))) (patch (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())
#s(alt (* x 1/120) (patch (*.f64 x #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 7)) (taylor inf x) (#s(alt (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor inf x) (#s(alt (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor inf x) (#s(alt (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor inf x) (#s(alt (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 7)) (taylor -inf x) (#s(alt (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 6)) (taylor inf x) (#s(alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor inf x) (#s(alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor inf x) (#s(alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor inf x) (#s(alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 6)) (taylor -inf x) (#s(alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor -inf x) (#s(alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor -inf x) (#s(alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 5)) (taylor inf x) (#s(alt (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor inf x) (#s(alt (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (patch (.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))) #<representation binary64>) () ())) ())
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#s(alt (* -1 x) (taylor inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1 (/ (sin x) x)) 1)) (taylor inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1 (/ (sin x) x)) 1)) (taylor inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1 (/ (sin x) x)) 1)) (taylor inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ (sin x) x)))) (taylor -inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ (sin x) x)))) (taylor -inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ (sin x) x)))) (taylor -inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* x 1/120)
1.0ms	x	@	0	(/ (- (* x x) (+ 1/2 (* -1/2 (cos (+ x x))))) (- (neg x) (sin x)))
1.0ms	x	@	inf	(* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))))
1.0ms	x	@	-inf	(* -1/6 (* x (* x x)))
1.0ms	x	@	inf	(/ (- (* x x) (+ 1/2 (* -1/2 (cos (+ x x))))) (- (neg x) (sin x)))

rewrite125.0ms (1.7%)

Memory

24.5MiB live, 104.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 026×	`accelerator-lowering-fma.f32`
1 026×	`accelerator-lowering-fma.f64`
870×	`-lowering-.f32`
870×	`-lowering-.f64`
548×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	163
1	186	159
0	1528	144

Stop Event

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

Counts

17 → 263

Calls

Call 1

Inputs
(* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))))
(* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))
(* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))
(+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)
(neg x)
(* -1/6 (* x (* x x)))
(* x (* x x))
(* x x)
(* x (* x (* x (+ (* x (* x 1/120)) -1/6))))
(* x (* x (+ (* x (* x 1/120)) -1/6)))
(* x (+ (* x (* x 1/120)) -1/6))
(+ (* x (* x 1/120)) -1/6)
(- (* x x) (+ 1/2 (* -1/2 (cos (+ x x)))))
(+ 1/2 (* -1/2 (cos (+ x x))))
(/ (- (* x x) (+ 1/2 (* -1/2 (cos (+ x x))))) (- (neg x) (sin x)))
(* x 1/120)
(- (neg x) (sin x))

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

simplify426.0ms (5.9%)

Memory

-128.8MiB live, 305.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 348×	`accelerator-lowering-fma.f32`
11 348×	`accelerator-lowering-fma.f64`
3 914×	`+-lowering-+.f64`
3 914×	`+-lowering-+.f32`
3 630×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	1838
1	603	1816
2	1731	1772
3	4730	1690
0	8546	1610

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 5))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 5))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1 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))
(* -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) (- (* 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
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/3 (pow x 4))
(* (pow x 4) (+ 1/3 (* -2/45 (pow x 2))))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45))))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 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 (- (+ (* -1 (/ (- (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (* -1 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x)) 1))
(* x (- (+ (* -1 (/ (- (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (* -1 (pow (sin x) 2))) (pow x 2))) (+ (/ (sin x) x) (/ (* (sin x) (- (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (* -1 (pow (sin x) 2)))) (pow x 3)))) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) 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)
(* 1/120 x)
(* -2 x)
(* x (- (* 1/6 (pow x 2)) 2))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 2))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 2))
(* -1 x)
(* x (- (* -1 (/ (sin x) x)) 1))
(* x (- (* -1 (/ (sin x) x)) 1))
(* x (- (* -1 (/ (sin x) x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (/ (sin x) x))))
(* -1 (* x (+ 1 (/ (sin x) x))))
(* -1 (* x (+ 1 (/ (sin x) 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 (.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 (* -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)))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.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 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.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 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.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)))
(* -1/5040 (pow x 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
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(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 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 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 (.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 (.f64 x 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 (- (+ (* -1 (/ (- (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (* -1 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x)) 1))
(-.f64 (neg.f64 x) (fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) x)))
(* x (- (+ (* -1 (/ (- (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (* -1 (pow (sin x) 2))) (pow x 2))) (+ (/ (sin x) x) (/ (* (sin x) (- (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (* -1 (pow (sin x) 2)))) (pow x 3)))) 1))
(.f64 x (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(-.f64 (neg.f64 x) (fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) x)))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(.f64 x (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (sin.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))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 1/6 (pow x 2)) 2))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 2))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -2 binary64)))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 2))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (* -1 (/ (sin x) x)) 1))
(-.f64 (neg.f64 x) (sin.f64 x))
(* x (- (* -1 (/ (sin x) x)) 1))
(-.f64 (neg.f64 x) (sin.f64 x))
(* x (- (* -1 (/ (sin x) x)) 1))
(-.f64 (neg.f64 x) (sin.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ (sin x) x))))
(-.f64 (neg.f64 x) (sin.f64 x))
(* -1 (* x (+ 1 (/ (sin x) x))))
(-.f64 (neg.f64 x) (sin.f64 x))
(* -1 (* x (+ 1 (/ (sin x) x))))
(-.f64 (neg.f64 x) (sin.f64 x))

eval56.0ms (0.8%)

Memory: -2.7MiB live, 72.4MiB allocated
Compiler: Compiled 10 553 to 1 117 computations (89.4% saved)

prune72.0ms (1%)

Memory

5.6MiB live, 89.7MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	519	13	532
Fresh	2	3	5
Picked	2	3	5
Done	0	1	1
Total	523	20	543

Accuracy

100.0%

Counts

543 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) (sin.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (neg.f64 x) (sin.f64 x)))))
▶	68.7%	(/.f64 (-.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (neg.f64 x) (sin.f64 x)))
▶	68.1%	(-.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x) x)
	54.2%	(-.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))))
✓	69.1%	(-.f64 (sin.f64 x) x)
▶	67.3%	(-.f64 x x)
	98.4%	(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
	98.7%	(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x))
▶	98.9%	(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)))
	98.5%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
	98.4%	(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
	98.7%	(.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
	98.7%	(.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
	42.2%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
	47.5%	(.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))))
▶	98.9%	(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓	98.9%	(.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)))))
	98.5%	(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	98.4%	(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
✓	6.6%	(neg.f64 x)

Compiler

Compiled 570 to 319 computations (44% saved)

simplify356.0ms (5%)

Memory

27.1MiB live, 337.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))
✓	cost-diff	0	(fma.f64 x x #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (-.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (neg.f64 x) (sin.f64 x)))
✓	cost-diff	128	(-.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) 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 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) 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 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓	cost-diff	640	(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)
✓	cost-diff	256	(-.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x) x)
✓	cost-diff	192	(-.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))
✓	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 (.f64 x 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)))

Rules

18 456×	`accelerator-lowering-fma.f32`
18 456×	`accelerator-lowering-fma.f64`
4 966×	`+-lowering-+.f64`
4 966×	`+-lowering-+.f32`
2 376×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	269
1	131	243
2	384	243
3	1042	243
4	2640	242
5	6883	242
0	8056	219

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6))
(* x (* x x))
x
(* x x)
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)
(+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)
(+ (* (* x x) 1/362880) -1/5040)
1/362880
-1/5040
1/120
-1/6
(- x x)
x
(- (+ (* (* x x) (* -1/6 x)) x) x)
(+ (* (* x x) (* -1/6 x)) x)
(* x x)
x
(* -1/6 x)
-1/6
(* x (* x (* x (+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6)))))
x
(* x (* x (+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6))))
(* x (+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6)))
(+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6))
(* (* (* x x) -1/5040) x)
(* (* x x) -1/5040)
(* x x)
-1/5040
(+ (* x (* x 1/120)) -1/6)
(* x 1/120)
1/120
-1/6
(/ (- (+ (* x x) -1/2) (* -1/2 (cos (+ x x)))) (- (neg x) (sin x)))
(- (+ (* x x) -1/2) (* -1/2 (cos (+ x x))))
(+ (* x x) -1/2)
x
-1/2
(* -1/2 (cos (+ x x)))
(cos (+ x x))
(+ x x)
(- (neg x) (sin x))
(neg x)
(sin x)

Outputs
(* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6))
(.f64 (.f64 x 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))))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)
(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))
(+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)
(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))
(+ (* (* x x) 1/362880) -1/5040)
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
1/362880
#s(literal 1/362880 binary64)
-1/5040
#s(literal -1/5040 binary64)
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(- x x)
#s(literal 0 binary64)
x
(- (+ (* (* x x) (* -1/6 x)) x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
(+ (* (* x x) (* -1/6 x)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x)
(* x x)
(*.f64 x x)
x
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* x (* x (* x (+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6)))))
(.f64 x (.f64 (.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
(* x (* x (+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6))))
(.f64 (.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 (+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6)))
(.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)))
(+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6))
(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 x) -1/5040) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/5040 binary64))
(* (* x x) -1/5040)
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* x x)
(*.f64 x x)
-1/5040
#s(literal -1/5040 binary64)
(+ (* x (* x 1/120)) -1/6)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* x 1/120)
(*.f64 x #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(/ (- (+ (* x x) -1/2) (* -1/2 (cos (+ x x)))) (- (neg x) (sin x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 x (sin.f64 x)))
(- (+ (* x x) -1/2) (* -1/2 (cos (+ x x))))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1/2 binary64)))
(+ (* x x) -1/2)
(fma.f64 x x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
(* -1/2 (cos (+ x x)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))
(cos (+ x x))
(cos.f64 (+.f64 x x))
(+ x x)
(+.f64 x x)
(- (neg x) (sin x))
(-.f64 (neg.f64 x) (sin.f64 x))
(neg x)
(neg.f64 x)
(sin x)
(sin.f64 x)

localize318.0ms (4.4%)

Memory

5.3MiB live, 283.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 (+.f64 x x))
✓	accuracy	100.0%	(-.f64 (neg.f64 x) (sin.f64 x))
✓	accuracy	94.5%	(/.f64 (-.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (neg.f64 x) (sin.f64 x)))
✓	accuracy	74.5%	(-.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
✓	accuracy	99.8%	(.f64 x (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -1/5040 binary64))
✓	accuracy	99.6%	(.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)
✓	accuracy	99.6%	(*.f64 #s(literal -1/6 binary64) x)
✓	accuracy	69.1%	(-.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x) x)
✓	accuracy	100.0%	(-.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)))

Samples

120.0ms	133×	2	valid
96.0ms	69×	3	valid
32.0ms	50×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 256 to 41 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-mult: 61.0ms (29.8% of total)

ival-cos: 44.0ms (21.5% of total)

adjust: 34.0ms (16.6% of total)

ival-add: 24.0ms (11.7% of total)

const: 23.0ms (11.2% of total)

ival-sub: 9.0ms (4.4% of total)

ival-div: 5.0ms (2.4% of total)

ival-sin: 3.0ms (1.5% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series17.0ms (0.2%)

Memory

-17.7MiB live, 16.9MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt (* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)) (patch (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))) #<representation binary64>) () ())
#s(alt (* x (* x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)) #<representation binary64>) () ())
#s(alt (- x x) (patch (-.f64 x x) #<representation binary64>) () ())
#s(alt (- (+ (* (* x x) (* -1/6 x)) x) x) (patch (-.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x) x) #<representation binary64>) () ())
#s(alt (+ (* (* x x) (* -1/6 x)) x) (patch (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x) #<representation binary64>) () ())
#s(alt (* -1/6 x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ())
#s(alt (+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6)) (patch (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (* x (* x (* x (+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6))))) (patch (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) #<representation binary64>) () ())
#s(alt (* x (* x (+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6)))) (patch (.f64 x (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #<representation binary64>) () ())
#s(alt (* x (+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6))) (patch (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (- (+ (* x x) -1/2) (* -1/2 (cos (+ x x)))) (patch (-.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #<representation binary64>) () ())
#s(alt (/ (- (+ (* x x) -1/2) (* -1/2 (cos (+ x x)))) (- (neg x) (sin x))) (patch (/.f64 (-.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())
#s(alt (+ (* x x) -1/2) (patch (fma.f64 x x #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (* -1/2 (cos (+ x x))) (patch (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) #<representation binary64>) () ())
#s(alt (+ (* (* x x) 1/362880) -1/5040) (patch (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #<representation binary64>) () ())
#s(alt (* (* x x) -1/5040) (patch (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())
#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (cos (+ x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)) (patch (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)) (patch (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)) (patch (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))) #<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 (* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)) (patch (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))) #<representation binary64>) () ())) ())
#s(alt (* 1/362880 (pow x 9)) (taylor inf x) (#s(alt (* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)) (patch (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)) (patch (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))) #<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 (* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)) (patch (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))) #<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 (* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)) (patch (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))) #<representation binary64>) () ())) ())
#s(alt (* 1/362880 (pow x 9)) (taylor -inf x) (#s(alt (* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)) (patch (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) (taylor -inf x) (#s(alt (* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)) (patch (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))) #<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 (* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)) (patch (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))) #<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 (* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)) (patch (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 x) (#s(alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (taylor 0 x) (#s(alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) (taylor 0 x) (#s(alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)) #<representation binary64>) () ())) ())
#s(alt (* 1/362880 (pow x 6)) (taylor inf x) (#s(alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)) #<representation binary64>) () ())) ())
#s(alt (* 1/362880 (pow x 6)) (taylor -inf x) (#s(alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt (- x x) (patch (-.f64 x x) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt (- x x) (patch (-.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (cos (* 2 x))) (taylor inf x) (#s(alt (* -1/2 (cos (+ x x))) (patch (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (cos (* 2 x))) (taylor inf x) (#s(alt (* -1/2 (cos (+ x x))) (patch (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (cos (* 2 x))) (taylor inf x) (#s(alt (* -1/2 (cos (+ x x))) (patch (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (cos (* 2 x))) (taylor inf x) (#s(alt (* -1/2 (cos (+ x x))) (patch (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (cos (neg (* -2 x)))) (taylor -inf x) (#s(alt (* -1/2 (cos (+ x x))) (patch (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (cos (neg (* -2 x)))) (taylor -inf x) (#s(alt (* -1/2 (cos (+ x x))) (patch (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (cos (neg (* -2 x)))) (taylor -inf x) (#s(alt (* -1/2 (cos (+ x x))) (patch (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (cos (neg (* -2 x)))) (taylor -inf x) (#s(alt (* -1/2 (cos (+ x x))) (patch (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) #<representation binary64>) () ())) ())
#s(alt -1/5040 (taylor 0 x) (#s(alt (+ (* (* x x) 1/362880) -1/5040) (patch (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/362880 (pow x 2)) 1/5040) (taylor 0 x) (#s(alt (+ (* (* x x) 1/362880) -1/5040) (patch (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/362880 (pow x 2)) 1/5040) (taylor 0 x) (#s(alt (+ (* (* x x) 1/362880) -1/5040) (patch (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/362880 (pow x 2)) 1/5040) (taylor 0 x) (#s(alt (+ (* (* x x) 1/362880) -1/5040) (patch (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/362880 (pow x 2)) (taylor inf x) (#s(alt (+ (* (* x x) 1/362880) -1/5040) (patch (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+ (* (* x x) 1/362880) -1/5040) (patch (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+ (* (* x x) 1/362880) -1/5040) (patch (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+ (* (* x x) 1/362880) -1/5040) (patch (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/362880 (pow x 2)) (taylor -inf x) (#s(alt (+ (* (* x x) 1/362880) -1/5040) (patch (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (+ (* (* x x) 1/362880) -1/5040) (patch (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (+ (* (* x x) 1/362880) -1/5040) (patch (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (+ (* (* x x) 1/362880) -1/5040) (patch (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor 0 x) (#s(alt (* (* x x) -1/5040) (patch (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor 0 x) (#s(alt (* (* x x) -1/5040) (patch (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor 0 x) (#s(alt (* (* x x) -1/5040) (patch (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor 0 x) (#s(alt (* (* x x) -1/5040) (patch (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor inf x) (#s(alt (* (* x x) -1/5040) (patch (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor inf x) (#s(alt (* (* x x) -1/5040) (patch (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor inf x) (#s(alt (* (* x x) -1/5040) (patch (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor inf x) (#s(alt (* (* x x) -1/5040) (patch (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor -inf x) (#s(alt (* (* x x) -1/5040) (patch (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor -inf x) (#s(alt (* (* x x) -1/5040) (patch (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor -inf x) (#s(alt (* (* x x) -1/5040) (patch (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor -inf x) (#s(alt (* (* x x) -1/5040) (patch (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/6 (pow x 2)) 2)) (taylor 0 x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 2)) (taylor 0 x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 2)) (taylor 0 x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1 (/ (sin x) x)) 1)) (taylor inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1 (/ (sin x) x)) 1)) (taylor inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1 (/ (sin x) x)) 1)) (taylor inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ (sin x) x)))) (taylor -inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ (sin x) x)))) (taylor -inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ (sin x) x)))) (taylor -inf x) (#s(alt (- (neg x) (sin x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos (+ x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (cos (+ x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (cos (+ x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (cos (+ x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 x)) (taylor inf x) (#s(alt (cos (+ x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 x)) (taylor inf x) (#s(alt (cos (+ x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 x)) (taylor inf x) (#s(alt (cos (+ x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 x)) (taylor inf x) (#s(alt (cos (+ x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (cos (neg (* -2 x))) (taylor -inf x) (#s(alt (cos (+ x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (cos (neg (* -2 x))) (taylor -inf x) (#s(alt (cos (+ x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (cos (neg (* -2 x))) (taylor -inf x) (#s(alt (cos (+ x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (cos (neg (* -2 x))) (taylor -inf x) (#s(alt (cos (+ x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())) ())

Calls

60 calls:

Time	Variable		Point	Expression
5.0ms	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) -1/5040)
0.0ms	x	@	0	(* -1/6 x)
0.0ms	x	@	inf	(- (+ (* (* x x) (* -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))

rewrite540.0ms (7.5%)

Memory

-0.2MiB live, 548.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 526×	`accelerator-lowering-fma.f32`
6 526×	`accelerator-lowering-fma.f64`
5 018×	`-lowering-.f32`
5 018×	`-lowering-.f64`
4 134×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	212
1	275	188
2	2353	188
0	9439	167

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 619

Calls

Call 1

Inputs
(* (* x (* x x)) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6))
(* x (* x x))
(* x x)
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/362880) -1/5040)) 1/120)) -1/6)
(- x x)
(- (+ (* (* x x) (* -1/6 x)) x) x)
(+ (* (* x x) (* -1/6 x)) x)
(* -1/6 x)
(+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6))
(* x (* x (* x (+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6)))))
(* x (* x (+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6))))
(* x (+ (* (* (* (* x x) -1/5040) x) x) (+ (* x (* x 1/120)) -1/6)))
(- (+ (* x x) -1/2) (* -1/2 (cos (+ x x))))
(/ (- (+ (* x x) -1/2) (* -1/2 (cos (+ x x)))) (- (neg x) (sin x)))
(+ (* x x) -1/2)
(* -1/2 (cos (+ x x)))
(+ (* (* x x) 1/362880) -1/5040)
(* (* x x) -1/5040)
(- (neg x) (sin x))
(cos (+ x x))

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

simplify369.0ms (5.1%)

Memory

-11.5MiB live, 279.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 400×	`accelerator-lowering-fma.f32`
8 400×	`accelerator-lowering-fma.f64`
4 032×	`-lowering-.f32`
4 032×	`-lowering-.f64`
2 482×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	2092
1	693	2052
2	2012	2010
3	5466	1936
0	8231	1835

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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))
(* 1/362880 (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))))))
(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
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
0
0
0
0
0
0
0
0
0
0
0
0
(* -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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 5))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 5))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* 1/3 (pow x 4))
(* (pow x 4) (+ 1/3 (* -2/45 (pow x 2))))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45))))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (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 (- (+ (* -1 (/ (- (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (* -1 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x)) 1))
(* x (- (+ (* -1 (/ (- (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (* -1 (pow (sin x) 2))) (pow x 2))) (+ (/ (sin x) x) (/ (* (sin x) (- (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (* -1 (pow (sin x) 2)))) (pow x 3)))) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
-1/2
(- (pow x 2) 1/2)
(- (pow x 2) 1/2)
(- (pow x 2) 1/2)
(pow x 2)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
-1/2
(- (pow x 2) 1/2)
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1/2)
(* -1/2 (cos (* 2 x)))
(* -1/2 (cos (* 2 x)))
(* -1/2 (cos (* 2 x)))
(* -1/2 (cos (* 2 x)))
(* -1/2 (cos (neg (* -2 x))))
(* -1/2 (cos (neg (* -2 x))))
(* -1/2 (cos (neg (* -2 x))))
(* -1/2 (cos (neg (* -2 x))))
-1/5040
(- (* 1/362880 (pow x 2)) 1/5040)
(- (* 1/362880 (pow x 2)) 1/5040)
(- (* 1/362880 (pow x 2)) 1/5040)
(* 1/362880 (pow x 2))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* 1/362880 (pow x 2))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -2 x)
(* x (- (* 1/6 (pow x 2)) 2))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 2))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 2))
(* -1 x)
(* x (- (* -1 (/ (sin x) x)) 1))
(* x (- (* -1 (/ (sin x) x)) 1))
(* x (- (* -1 (/ (sin x) x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (/ (sin x) x))))
(* -1 (* x (+ 1 (/ (sin x) x))))
(* -1 (* x (+ 1 (/ (sin x) x))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (neg (* -2 x)))
(cos (neg (* -2 x)))
(cos (neg (* -2 x)))
(cos (neg (* -2 x)))

Outputs
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 x (.f64 x 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 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 x (.f64 x (fma.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 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 (.f64 x 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 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
(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
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 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 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(fma.f64 x (.f64 x (fma.f64 (.f64 x 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 6))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 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 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/362880 (pow x 6))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 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 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x 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)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 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 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(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))
(* -1/5040 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* -1/5040 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 x (.f64 x 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 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 (* -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)))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* -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 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.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 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.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)))
(* -1/5040 (pow x 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1/5040 (pow x 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x 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 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 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)))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 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)))
(* -1/5040 (pow x 5))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
(* -1/5040 (pow x 5))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
(* 1/3 (pow x 4))
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/3 (* -2/45 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64)))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/315 binary64) #s(literal -2/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/14175 binary64) #s(literal 1/315 binary64)) #s(literal -2/45 binary64)) #s(literal 1/3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (pow x 2)))))
(fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (pow x 2)))))
(fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (pow x 2)))))
(fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (pow x 2)))))
(fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (pow x 2)))))
(fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (neg (* -2 x))))) (pow x 2)))))
(fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 x (.f64 x 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 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 x (.f64 x (fma.f64 (.f64 x 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 (- (+ (* -1 (/ (- (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (* -1 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x)) 1))
(-.f64 (+.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) x)) x)
(* x (- (+ (* -1 (/ (- (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (* -1 (pow (sin x) 2))) (pow x 2))) (+ (/ (sin x) x) (/ (* (sin x) (- (* -1 (+ 1/2 (* -1/2 (cos (* 2 x))))) (* -1 (pow (sin x) 2)))) (pow x 3)))) 1))
(-.f64 (fma.f64 x (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))) (sin.f64 x)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(-.f64 (+.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (+ 1/2 (* -1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(-.f64 (fma.f64 x (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))) (sin.f64 x)) x)
-1/2
#s(literal -1/2 binary64)
(- (pow x 2) 1/2)
(fma.f64 x x #s(literal -1/2 binary64))
(- (pow x 2) 1/2)
(fma.f64 x x #s(literal -1/2 binary64))
(- (pow x 2) 1/2)
(fma.f64 x x #s(literal -1/2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (/.f64 #s(literal -1/2 binary64) (.f64 x x)) x))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (/.f64 #s(literal -1/2 binary64) (.f64 x x)) x))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (/.f64 #s(literal -1/2 binary64) (.f64 x x)) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (/.f64 #s(literal -1/2 binary64) (.f64 x x)) x))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (/.f64 #s(literal -1/2 binary64) (.f64 x x)) x))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (/.f64 #s(literal -1/2 binary64) (.f64 x x)) x))
-1/2
#s(literal -1/2 binary64)
(- (pow x 2) 1/2)
(fma.f64 x x #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1/2)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1/2)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(* -1/2 (cos (* 2 x)))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))
(* -1/2 (cos (* 2 x)))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))
(* -1/2 (cos (* 2 x)))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))
(* -1/2 (cos (* 2 x)))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))
(* -1/2 (cos (neg (* -2 x))))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))
(* -1/2 (cos (neg (* -2 x))))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))
(* -1/2 (cos (neg (* -2 x))))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))
(* -1/2 (cos (neg (* -2 x))))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))))
-1/5040
#s(literal -1/5040 binary64)
(- (* 1/362880 (pow x 2)) 1/5040)
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
(- (* 1/362880 (pow x 2)) 1/5040)
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
(- (* 1/362880 (pow x 2)) 1/5040)
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(* 1/362880 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/362880 binary64))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 1/6 (pow x 2)) 2))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 2))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) #s(literal -2 binary64)))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 2))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (* -1 (/ (sin x) x)) 1))
(-.f64 (neg.f64 x) (sin.f64 x))
(* x (- (* -1 (/ (sin x) x)) 1))
(-.f64 (neg.f64 x) (sin.f64 x))
(* x (- (* -1 (/ (sin x) x)) 1))
(-.f64 (neg.f64 x) (sin.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ (sin x) x))))
(-.f64 (neg.f64 x) (sin.f64 x))
(* -1 (* x (+ 1 (/ (sin x) x))))
(-.f64 (neg.f64 x) (sin.f64 x))
(* -1 (* x (+ 1 (/ (sin x) x))))
(-.f64 (neg.f64 x) (sin.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(cos (neg (* -2 x)))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(cos (neg (* -2 x)))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(cos (neg (* -2 x)))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(cos (neg (* -2 x)))
(cos.f64 (*.f64 x #s(literal -2 binary64)))

eval144.0ms (2%)

Memory: 13.2MiB live, 197.5MiB allocated
Compiler: Compiled 33 960 to 2 718 computations (92% saved)

prune136.0ms (1.9%)

Memory

-1.2MiB live, 286.4MiB allocated

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	990	4	994
Fresh	1	10	11
Picked	2	3	5
Done	0	4	4
Total	993	21	1 014

Accuracy

100.0%

Counts

1 014 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.1%	(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
	54.2%	(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) (sin.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (neg.f64 x) (sin.f64 x)))))
	68.7%	(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1/2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
	93.1%	(/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (fma.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x))
✓	68.1%	(-.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x) x)
	54.2%	(-.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))))
✓	69.1%	(-.f64 (sin.f64 x) x)
▶	98.4%	(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
▶	98.7%	(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x))
✓	98.9%	(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)))
	98.5%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
	98.4%	(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
	98.7%	(.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
▶	42.2%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
	47.5%	(.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))))
✓	98.9%	(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓	98.9%	(.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)))))
▶	98.5%	(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	98.4%	(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
✓	6.6%	(neg.f64 x)
▶	67.3%	#s(literal 0 binary64)

Compiler

Compiled 510 to 289 computations (43.3% saved)

simplify389.0ms (5.4%)

Memory

2.8MiB live, 238.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	cost-diff	5824	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
✓	cost-diff	1152	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
✓	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	(*.f64 x #s(literal 1/120 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #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 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x))

Rules

6 630×	`-lowering-.f32`
6 630×	`-lowering-.f64`
2 726×	`pow-lowering-pow.f64`
2 726×	`pow-lowering-pow.f32`
2 642×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	118
1	61	106
2	174	106
3	359	106
4	506	106
5	768	106
6	995	106
7	2091	106
8	2477	106
9	2872	106
10	3472	106
11	4288	106
12	4668	106
13	4889	106
14	5056	106
15	5242	106
16	5429	106
17	6634	106
18	7202	106
19	7468	106
20	7642	106
21	7720	106
22	7739	106
23	7741	106
24	7758	106
25	7775	106
26	7983	106
0	8021	101

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* x (+ (* x (* x 1/120)) -1/6)) (* x x))
(* x (+ (* x (* x 1/120)) -1/6))
x
(+ (* x (* x 1/120)) -1/6)
(* x 1/120)
1/120
-1/6
(* x x)
0
(* (* (* x -1/6) x) x)
(* (* x -1/6) x)
(* x -1/6)
x
-1/6
(* x (* (* (* x x) (* x x)) (+ 1/120 (/ -1/6 (* x x)))))
x
(* (* (* x x) (* x x)) (+ 1/120 (/ -1/6 (* x x))))
(* (* x x) (* x x))
(* x x)
(+ 1/120 (/ -1/6 (* x x)))
1/120
(/ -1/6 (* x x))
-1/6
(* -1/6 (pow x 3))
-1/6
(pow x 3)
x
3

Outputs
(* (* x (+ (* x (* x 1/120)) -1/6)) (* x x))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(* x (+ (* x (* x 1/120)) -1/6))
(.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
x
(+ (* x (* x 1/120)) -1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* x 1/120)
(*.f64 x #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(* x x)
(*.f64 x x)
0
#s(literal 0 binary64)
(* (* (* x -1/6) x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
(* (* x -1/6) x)
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
x
-1/6
#s(literal -1/6 binary64)
(* x (* (* (* x x) (* x x)) (+ 1/120 (/ -1/6 (* x x)))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
x
(* (* (* x x) (* x x)) (+ 1/120 (/ -1/6 (* x x))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
(+ 1/120 (/ -1/6 (* x x)))
(+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
1/120
#s(literal 1/120 binary64)
(/ -1/6 (* x x))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
-1/6
#s(literal -1/6 binary64)
(* -1/6 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(pow x 3)
(.f64 x (.f64 x x))
x
3
#s(literal 3 binary64)

localize72.0ms (1%)

Memory

29.5MiB live, 104.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
✓	accuracy	30.8%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
✓	accuracy	99.9%	(.f64 (.f64 x #s(literal -1/6 binary64)) x)
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
✓	accuracy	99.6%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓	accuracy	99.9%	(*.f64 x #s(literal 1/120 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x))
✓	accuracy	99.6%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))

Samples

44.0ms

256×

valid

Compiler

Compiled 123 to 23 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 17.0ms (54% of total)

const: 7.0ms (22.2% of total)

ival-pow: 3.0ms (9.5% of total)

ival-div: 2.0ms (6.4% of total)

ival-add: 2.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-25.4MiB live, 13.7MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite379.0ms (5.3%)

Memory

36.6MiB live, 516.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 766×	`accelerator-lowering-fma.f32`
5 766×	`accelerator-lowering-fma.f64`
4 916×	`-lowering-.f32`
4 916×	`-lowering-.f64`
2 822×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	96
1	107	84
2	700	84
3	6703	84
0	8282	79

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 814

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal -6 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -6 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))) (.f64 x x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))) x (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) x (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (/.f64 #s(literal -1/6 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -6 binary64)))) (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (/.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal -6 binary64)))) (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal -1/720 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 x (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (.f64 x (.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 1/1728000 binary64) (/.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/14400 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal -1/720 binary64)) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (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)))))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal -1/720 binary64)) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))))))
(/.f64 (.f64 #s(literal 1 binary64) (.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 (.f64 x (.f64 x (.f64 x (.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 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64)))))))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (neg.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 (+.f64 #s(literal 1/14400 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal -1/720 binary64)) (.f64 x x)))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.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 x (.f64 x (.f64 x (.f64 x x)))) (+.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 x (.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64)))
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(.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64))))
(.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(.f64 (/.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)))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal -1/720 binary64)) (.f64 x x)) (.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)))) #s(literal 1/2985984000000 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal -1/720 binary64)) (.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal -1/720 binary64)) (.f64 x x)) #s(literal 1/14400 binary64)) #s(literal 1/207360000 binary64)))
(.f64 (/.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)))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 1/207360000 binary64) (.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)))))) (-.f64 #s(literal 1/14400 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal -1/720 binary64)) (.f64 x x))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.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 (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.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))))))) (fma.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal 1/14400 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (.f64 x (.f64 x (*.f64 x x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (neg.f64 x))) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)))
(.f64 x (.f64 (neg.f64 x) (*.f64 x (neg.f64 x))))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 x (*.f64 x (neg.f64 x))) (neg.f64 x))
(.f64 (neg.f64 x) (.f64 x (*.f64 x (neg.f64 x))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 5/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (.f64 x (neg.f64 x)) #s(literal -1 binary64)) (.f64 x x))
(.f64 (.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)) x)
(.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (.f64 x (neg.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x x)))) x)
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 x x)
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 x)) x)
(.f64 (pow.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (.f64 x (*.f64 x x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (*.f64 x x))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) (log.f64 x)))
(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 #s(literal 3 binary64)) (log.f64 x))
(.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 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(neg.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal -6 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/6 binary64)) (.f64 x x))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/6 binary64)) (.f64 x (neg.f64 x)))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -6 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) x)) x)
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (.f64 x x))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (.f64 (*.f64 x x) #s(literal 6 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 x))
(/.f64 (.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal -6 binary64)))) x)
(/.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)))) (.f64 x (neg.f64 x)))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) x) (.f64 x x))
(/.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal -6 binary64))) x) x)
(/.f64 (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64))) x) (.f64 x (neg.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x #s(literal -6 binary64))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (neg.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal -1/6 binary64) x) (.f64 x (.f64 x (.f64 x (*.f64 x x))))) x)
(/.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (*.f64 x x) #s(literal 6 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1/6 binary64) x) (.f64 x (.f64 x (.f64 x (*.f64 x x))))) (neg.f64 x))
(.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal -6 binary64)))))
(.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)))
(.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
(.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -6 binary64)))))
(.f64 #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal -1/6 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -6 binary64)))) (.f64 x (.f64 x x)))
(.f64 (/.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal -6 binary64)))) (.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/6 binary64))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x #s(literal -6 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(neg.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -6 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -6 binary64))
(/.f64 (/.f64 #s(literal -1/6 binary64) x) x)
(/.f64 (/.f64 #s(literal -1/6 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -6 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)) (neg.f64 x))
(pow.f64 (.f64 x (.f64 x #s(literal -6 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64))
(*.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -1/6 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/6 binary64) 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)))

simplify147.0ms (2.1%)

Memory

-3.5MiB live, 233.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2 814×	`accelerator-lowering-fma.f32`
2 814×	`accelerator-lowering-fma.f64`
2 248×	`-lowering-.f32`
2 248×	`-lowering-.f64`
1 370×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	930
1	81	930
2	212	930
3	617	930
4	1673	930
5	3564	930
6	5227	930
7	7573	930
0	8227	885

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* -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 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
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 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)
(* -1/6 (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)
(* -1/6 (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) (- (* 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 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 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)
(* -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))

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

eval141.0ms (2%)

Memory: -29.2MiB live, 141.6MiB allocated
Compiler: Compiled 24 757 to 2 052 computations (91.7% saved)

prune127.0ms (1.8%)

Memory

-1.0MiB live, 238.9MiB allocated

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	1 097	8	1 105
Fresh	4	5	9
Picked	2	3	5
Done	0	7	7
Total	1 103	23	1 126

Accuracy

100.0%

Counts

1 126 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.1%	(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
	54.2%	(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) (sin.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (neg.f64 x) (sin.f64 x)))))
	68.7%	(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1/2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
	98.7%	(/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
	40.5%	(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal -6 binary64))))
✓	68.1%	(-.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x) x)
	54.2%	(-.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))))
✓	69.1%	(-.f64 (sin.f64 x) x)
	48.3%	(.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal -6 binary64)))) (.f64 x x))
	98.5%	(.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) x)
	43.1%	(.f64 (/.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
	41.9%	(.f64 (.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) x)
	98.4%	(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
✓	98.4%	(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
✓	98.7%	(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x))
	41.8%	(.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
✓	98.9%	(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)))
	98.5%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
✓	98.9%	(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓	98.9%	(.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)))))
✓	98.4%	(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
✓	6.6%	(neg.f64 x)
✓	67.3%	#s(literal 0 binary64)

Compiler

Compiled 859 to 332 computations (61.4% saved)

regimes18.0ms (0.3%)

Memory

27.6MiB live, 27.6MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(-.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
(.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) 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 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x))
(.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)))))
(.f64 (.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) x)
(.f64 (/.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal -6 binary64)))) (.f64 x x))
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal -6 binary64))))
(.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(.f64 x (.f64 (.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 (.f64 x 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 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64) #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) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (fma.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x))
(.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(-.f64 (sin.f64 x) x)
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1/2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (neg.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))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) (sin.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (neg.f64 x) (sin.f64 x)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (+.f64 x (sin.f64 x)) (.f64 x x))) (+.f64 x (sin.f64 x))) (.f64 (+.f64 x (sin.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (*.f64 x x))))

Outputs

(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes15.0ms (0.2%)

Memory

-19.4MiB live, 20.2MiB allocated

Counts

23 → 1

Calls

Call 1

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

Outputs
(.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)))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes8.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(-.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
(.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) 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 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes8.0ms (0.1%)

Memory

-27.2MiB live, 12.1MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(-.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
(.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) x)
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes7.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(-.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
(.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) x)

Outputs
(.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) x)

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes6.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(-.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes6.0ms (0.1%)

Memory

-29.7MiB live, 9.2MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)

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

Calls

2 calls:

4.0ms	x
2.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Accuracy

Total -39.5b remaining (-188.7%)

Threshold costs -39.5b (-188.7%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
67.3%	1	`x`
67.3%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify7.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	85
1	45	85

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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 (.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)))))
(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 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 (.f64 x x) #s(literal -6 binary64)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
#s(literal 0 binary64)

Outputs
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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 (.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)))))
(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.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 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) x)
(.f64 x (/.f64 (.f64 x x) #s(literal -6 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
#s(literal 0 binary64)

soundness1.0s (14%)

Memory

-14.3MiB live, 583.2MiB allocated

Rules

12 140×	`accelerator-lowering-fma.f32`
12 140×	`accelerator-lowering-fma.f64`
11 348×	`accelerator-lowering-fma.f32`
11 348×	`accelerator-lowering-fma.f64`
6 526×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	163
1	186	159
0	1528	144
0	213	1838
1	603	1816
2	1731	1772
3	4730	1690
0	8546	1610
0	47	170
1	121	164
2	313	164
3	949	152
4	2043	140
5	3944	140
0	8028	128
0	20	96
1	107	84
2	700	84
3	6703	84
0	8282	79
0	3	6
1	18	6
2	146	6
3	1494	6
0	8327	6
0	39	212
1	275	188
2	2353	188
0	9439	167

Stop Event

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

Compiler

Compiled 239 to 123 computations (48.5% saved)

preprocess80.0ms (1.1%)

Memory: 26.8MiB live, 143.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 422 to 198 computations (53.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	14
1	17	13
2	50	12
3	102	12
4	132	12
5	134	12
0	3	4
1	5	4
2	10	4
3	16	4
4	24	4
5	39	4
6	72	4
7	96	4
8	138	4
9	155	4
10	167	4
0	167	4

Iter	Nodes	Cost
0	7	14
1	17	13
2	50	12
3	102	12
4	132	12
5	134	12
0	3	4
1	5	4
2	10	4
3	16	4
4	24	4
5	39	4
6	72	4
7	96	4
8	138	4
9	155	4
10	167	4
0	167	4

analyze0.0ms (0%)

sample818.0ms (11.4%)

preprocess17.0ms (0.2%)

explain63.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize23.0ms (0.3%)

series1.0ms (0%)

rewrite273.0ms (3.8%)

simplify266.0ms (3.7%)

eval21.0ms (0.3%)

prune34.0ms (0.5%)

simplify419.0ms (5.9%)

localize211.0ms (2.9%)

series20.0ms (0.3%)

rewrite125.0ms (1.7%)

simplify426.0ms (5.9%)

eval56.0ms (0.8%)

prune72.0ms (1%)

simplify356.0ms (5%)

localize318.0ms (4.4%)

series17.0ms (0.2%)

rewrite540.0ms (7.5%)

simplify369.0ms (5.1%)

eval144.0ms (2%)

prune136.0ms (1.9%)

simplify389.0ms (5.4%)

localize72.0ms (1%)

series9.0ms (0.1%)

rewrite379.0ms (5.3%)

simplify147.0ms (2.1%)

eval141.0ms (2%)

prune127.0ms (1.8%)

regimes18.0ms (0.3%)

regimes15.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

simplify7.0ms (0.1%)

soundness1.0s (14%)

preprocess80.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	14
1	17	13
2	50	12
3	102	12
4	132	12
5	134	12
0	3	4
1	5	4
2	10	4
3	16	4
4	24	4
5	39	4
6	72	4
7	96	4
8	138	4
9	155	4
10	167	4
0	167	4