Metrics for tanhf (example 3.4)

analyze122.0ms (1.4%)

Memory

-3.3MiB live, 147.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.8s (20.6%)

Memory

66.2MiB live, 1 743.3MiB allocated

Samples

673.0ms	2 201×	2	valid
504.0ms	4 323×	0	valid
269.0ms	556×	3	valid
115.0ms	1 173×	1	valid
3.0ms	3×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-cos: 828.0ms (61.3% of total)

ival-sin: 205.0ms (15.2% of total)

ival-div: 111.0ms (8.2% of total)

adjust: 101.0ms (7.5% of total)

ival-sub: 87.0ms (6.4% of total)

exact: 10.0ms (0.7% of total)

ival-true: 6.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess49.0ms (0.6%)

Memory

-19.3MiB live, 58.2MiB allocated

Algorithm

2×	egg-herbie

Rules

204×	`accelerator-lowering-fma.f32`
204×	`accelerator-lowering-fma.f64`
140×	`-lowering-.f32`
140×	`-lowering-.f64`
110×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	38	13
2	77	12
3	181	12
4	444	12
5	684	12
6	719	12
0	6	4
1	16	4
2	22	4
3	33	4
4	54	4
5	77	4
6	110	4
7	184	4
8	307	4
9	515	4
10	557	4
11	560	4
12	568	4
13	574	4
14	578	4
15	585	4
16	592	4
17	593	4
0	593	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- 1 (cos x)) (sin x))

Outputs
(/ (- 1 (cos x)) (sin x))
(neg.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))))

Call 2

Inputs
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos (neg x))) (sin (neg x)))
(neg (/ (- 1 (cos (neg x))) (sin (neg x))))

Outputs
(/ (- 1 (cos x)) (sin x))
(tan (* x 1/2))
(/ (- 1 (cos (neg x))) (sin (neg x)))
(tan (* x -1/2))
(neg (/ (- 1 (cos (neg x))) (sin (neg x))))
(tan (* x 1/2))

Symmetry

(negabs x)

explain217.0ms (2.4%)

Memory

11.0MiB live, 180.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
79	1	(2.6714238701730055e+196)	1	(4.1368003056638116e+232)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
43	0	-	3	(3.37489055371437e-157)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	79	6
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`	u/n	40	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	40

Confusion

	Predicted +	Predicted -
+	118	4
-	1	133

Precision

0.9915966386554622

Recall

0.9672131147540983

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	4	0
-	1	2	131

Precision?

0.976

Recall?

1.0

Freqs

test

number	freq
0	137
1	119

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

83.0ms	114×	2	valid
42.0ms	76×	1	valid
32.0ms	298×	0	valid
14.0ms	24×	3	valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-cos: 87.0ms (56.5% of total)

ival-sub: 39.0ms (25.3% of total)

ival-sin: 17.0ms (11% of total)

ival-div: 5.0ms (3.2% of total)

adjust: 5.0ms (3.2% of total)

exact: 1.0ms (0.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify29.0ms (0.3%)

Memory

-30.2MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	6848	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Rules

204×	`accelerator-lowering-fma.f32`
204×	`accelerator-lowering-fma.f64`
140×	`-lowering-.f32`
140×	`-lowering-.f64`
82×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	16	14
2	22	14
3	33	14
4	54	14
5	77	14
6	110	14
7	184	14
8	307	14
9	515	14
10	557	14
11	560	14
12	568	14
13	574	14
14	578	14
15	585	14
16	592	14
17	593	14
0	593	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- 1 (cos x)) (sin x))
(- 1 (cos x))
1
(cos x)
x
(sin x)

Outputs
(/ (- 1 (cos x)) (sin x))
(neg.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(sin x)
(sin.f64 x)

localize52.0ms (0.6%)

Memory

30.5MiB live, 68.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	84.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
✓	accuracy	74.9%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

17.0ms	57×	2	valid
16.0ms	149×	0	valid
7.0ms	12×	3	valid
4.0ms	38×	1	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-cos: 19.0ms (54.6% of total)

ival-sin: 8.0ms (23% of total)

ival-div: 3.0ms (8.6% of total)

adjust: 2.0ms (5.8% of total)

ival-sub: 2.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

-33.7MiB live, 4.9MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (sin x)>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(sin x)
1.0ms	x	@	inf	(/ (- 1 (cos x)) (sin x))
0.0ms	x	@	-inf	(/ (- 1 (cos x)) (sin x))
0.0ms	x	@	0	(cos x)
0.0ms	x	@	0	(/ (- 1 (cos x)) (sin x))

rewrite313.0ms (3.5%)

Memory

21.7MiB live, 420.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 606×	`-lowering-.f32`
4 606×	`-lowering-.f64`
3 722×	`/-lowering-/.f32`
3 722×	`/-lowering-/.f64`
2 028×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	35	12
2	241	12
3	2351	11
0	8884	11

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 615

Calls

Call 1

Inputs
(/ (- 1 (cos x)) (sin x))
(- 1 (cos x))
(cos x)
(sin x)

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

simplify435.0ms (4.9%)

Memory

17.2MiB live, 652.2MiB allocated

Algorithm

1×	egg-herbie

Rules

19 148×	`accelerator-lowering-fma.f32`
19 148×	`accelerator-lowering-fma.f64`
3 796×	`-lowering-.f32`
3 796×	`-lowering-.f64`
3 232×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	286
1	224	286
2	555	280
3	1656	280
4	3000	280
5	4243	280
6	4592	280
7	5323	280
8	6815	280
0	8390	256

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos 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
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (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)) (.f64 x (.f64 x x)) 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)

eval100.0ms (1.1%)

Memory: -11.0MiB live, 142.1MiB allocated
Compiler: Compiled 14 409 to 1 635 computations (88.7% saved)

prune75.0ms (0.8%)

Memory

15.5MiB live, 174.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	659	4	663
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	660	4	664

Accuracy

100.0%

Counts

664 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.9%	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
▶	43.5%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
▶	43.8%	(*.f64 #s(literal 1/2 binary64) x)
▶	100.0%	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify5.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6464	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 1/24 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))

Rules

38×	`-lowering-.f32`
38×	`-lowering-.f64`
24×	`accelerator-lowering-fma.f32`
24×	`accelerator-lowering-fma.f64`
10×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	26	39
2	33	39
3	37	39
0	37	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(tan (* x 1/2))
(* x 1/2)
x
1/2
(* 1/2 x)
1/2
x
(* x (+ (* x (* x 1/24)) 1/2))
x
(+ (* x (* x 1/24)) 1/2)
(* x 1/24)
1/24
1/2
(pow 1 -1/2)
1
-1/2

Outputs
(tan (* x 1/2))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(* x (+ (* x (* x 1/24)) 1/2))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
x
(+ (* x (* x 1/24)) 1/2)
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
1/2
#s(literal 1/2 binary64)
(pow 1 -1/2)
#s(literal 1 binary64)
1
#s(literal 1 binary64)
-1/2
#s(literal -1/2 binary64)

localize80.0ms (0.9%)

Memory

-18.7MiB live, 57.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
✓	accuracy	99.9%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))

Samples

40.0ms

256×

valid

Compiler

Compiled 41 to 15 computations (63.4% saved)

Precisions

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

ival-tan: 16.0ms (52.2% of total)

ival-mult: 7.0ms (22.8% of total)

const: 3.0ms (9.8% of total)

ival-pow: 2.0ms (6.5% of total)

ival-add: 1.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

7 → 72

Calls

Call 1

Inputs
#<alt (tan (* x 1/2))>
#<alt (* x 1/2)>
#<alt (* 1/2 x)>
#<alt (* x (+ (* x (* x 1/24)) 1/2))>
#<alt (+ (* x (* x 1/24)) 1/2)>
#<alt (* x 1/24)>
#<alt (pow 1 -1/2)>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x 1/2)
1.0ms	x	@	inf	(* x (+ (* x (* x 1/24)) 1/2))
0.0ms	x	@	-inf	(tan (* x 1/2))
0.0ms	x	@	inf	(tan (* x 1/2))
0.0ms	x	@	0	(* x (+ (* x (* x 1/24)) 1/2))

rewrite382.0ms (4.3%)

Memory

-7.9MiB live, 530.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 312×	`accelerator-lowering-fma.f32`
7 312×	`accelerator-lowering-fma.f64`
5 270×	`/-lowering-/.f32`
5 270×	`/-lowering-/.f64`
4 738×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	51	30
2	234	30
3	1703	30
0	8292	28

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 386

Calls

Call 1

Inputs
(tan (* x 1/2))
(* x 1/2)
(* 1/2 x)
(* x (+ (* x (* x 1/24)) 1/2))
(+ (* x (* x 1/24)) 1/2)
(* x 1/24)
(pow 1 -1/2)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))))) (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x x)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/48 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) (.f64 x (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 x (neg.f64 (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64))))) x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/48 binary64)))))))
(/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/48 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/48 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x x))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64))) x) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))))) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/48 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
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(/.f64 (neg.f64 (neg.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 x x)))) (neg.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
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(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64))) x)) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) x)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))))) x)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
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(.f64 (/.f64 (fma.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/16 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1 binary64)

simplify329.0ms (3.7%)

Memory

-29.9MiB live, 336.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 568×	`-lowering-.f32`
5 568×	`-lowering-.f64`
4 508×	`accelerator-lowering-fma.f32`
4 508×	`accelerator-lowering-fma.f64`
2 706×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	396
1	105	396
2	265	396
3	617	396
4	1178	396
5	2718	396
6	3467	396
7	4073	396
8	4419	396
9	4855	396
10	5425	396
11	6139	396
12	6461	396
13	6665	396
14	6793	396
15	6927	396
16	7066	396
17	7984	396
0	8056	372

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))

eval62.0ms (0.7%)

Memory: 33.1MiB live, 107.6MiB allocated
Compiler: Compiled 17 716 to 1 294 computations (92.7% saved)

prune54.0ms (0.6%)

Memory

-11.0MiB live, 108.2MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	455	3	458
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	456	6	462

Accuracy

100.0%

Counts

462 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.5%	(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
▶	42.9%	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
✓	43.5%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	43.8%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
▶	7.9%	#s(literal 1 binary64)

Compiler

Compiled 88 to 48 computations (45.5% saved)

simplify181.0ms (2%)

Memory

9.1MiB live, 240.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
✓	cost-diff	3392	(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	cost-diff	0	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
✓	cost-diff	128	(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))

Rules

6 202×	`-lowering-.f32`
6 202×	`-lowering-.f64`
3 958×	`accelerator-lowering-fma.f32`
3 958×	`accelerator-lowering-fma.f64`
1 804×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	256
1	91	240
2	347	240
3	1572	228
4	6091	228
0	8187	205

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
1
(* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))))
x
(+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2))))
(/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4))
(* x (* (* x x) 1/576))
(* (* x x) 1/576)
(* x x)
1/576
(+ (* x (* x (* (* x x) 1/576))) -1/4)
-1/4
(* x (+ (* x (* x 1/24)) 1/2))
(+ (* x (* x 1/24)) 1/2)
(* x 1/24)
1/24
1/2
(neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))
(/ 1/4 (+ (* x (* x 1/24)) -1/2))
1/4
(+ (* x (* x 1/24)) -1/2)
-1/2
(* (* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2))) (/ 1 (* x (+ (* x (* x 1/24)) -1/2))))
(* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2)))
(* x (+ (* x (* x 1/24)) 1/2))
x
(+ (* x (* x 1/24)) 1/2)
(* x 1/24)
1/24
1/2
(* x (+ (* x (* x 1/24)) -1/2))
(+ (* x (* x 1/24)) -1/2)
-1/2
(/ 1 (* x (+ (* x (* x 1/24)) -1/2)))
1

Outputs
1
#s(literal 1 binary64)
(* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))))
(.f64 x (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
x
(+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2))))
(fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4))
(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))
(* x (* (* x x) 1/576))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(* (* x x) 1/576)
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* x x)
(*.f64 x x)
1/576
#s(literal 1/576 binary64)
(+ (* x (* x (* (* x x) 1/576))) -1/4)
(fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(* x (+ (* x (* x 1/24)) 1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(+ (* x (* x 1/24)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
1/2
#s(literal 1/2 binary64)
(neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))
(/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/ 1/4 (+ (* x (* x 1/24)) -1/2))
(/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
1/4
#s(literal 1/4 binary64)
(+ (* x (* x 1/24)) -1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2))) (/ 1 (* x (+ (* x (* x 1/24)) -1/2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(* x (+ (* x (* x 1/24)) 1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
x
(+ (* x (* x 1/24)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
1/2
#s(literal 1/2 binary64)
(* x (+ (* x (* x 1/24)) -1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(+ (* x (* x 1/24)) -1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ 1 (* x (+ (* x (* x 1/24)) -1/2)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)

localize141.0ms (1.6%)

Memory

-5.2MiB live, 152.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
✓	accuracy	45.5%	(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	accuracy	99.2%	(/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.0%	(.f64 (.f64 x x) #s(literal 1/576 binary64))
✓	accuracy	92.0%	(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	accuracy	56.8%	(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))

Samples

51.0ms

256×

valid

Compiler

Compiled 258 to 30 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 17.0ms (49.3% of total)

const: 6.0ms (17.4% of total)

ival-div: 5.0ms (14.5% of total)

ival-add: 5.0ms (14.5% of total)

exact: 1.0ms (2.9% of total)

ival-neg: 1.0ms (2.9% of total)

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

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

series11.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))>
#<alt (* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))))>
#<alt (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2))))>
#<alt (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4))>
#<alt (* (* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2))) (/ 1 (* x (+ (* x (* x 1/24)) -1/2))))>
#<alt (* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2)))>
#<alt (* x (+ (* x (* x 1/24)) 1/2))>
#<alt (+ (* x (* x 1/24)) 1/2)>
#<alt (* (* x x) 1/576)>
#<alt (/ 1/4 (+ (* x (* x 1/24)) -1/2))>
#<alt (/ 1 (* x (+ (* x (* x 1/24)) -1/2)))>
#<alt (* x 1/24)>
#<alt (+ (* x (* x 1/24)) -1/2)>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2)))))))>
#<alt (/ -6 (pow x 2))>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/144 (pow x 3))>
#<alt (* (pow x 3) (- (* -1/20736 (pow x 4)) 1/144))>
#<alt (* (pow x 3) (- (* (pow x 4) (- (* -1/2985984 (pow x 4)) 1/20736)) 1/144))>
#<alt (* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -1/429981696 (pow x 4)) 1/2985984)) 1/20736)) 1/144))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)>
#<alt (/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (/ 20736 (pow x 8)))) x)>
#<alt (/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (+ (* 2985984 (/ 1 (pow x 12))) (/ 20736 (pow x 8))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 144 (* 20736 (/ 1 (pow x 4)))) (pow x 4))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 20736 (* 2985984 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 144 (/ 1 (pow x 4))))) x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt -1/2>
#<alt (- (* -1/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (- (* -1/288 (pow x 2)) 1/24)) 1/2)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3456 (pow x 2)) 1/288)) 1/24)) 1/2)>
#<alt (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))>
#<alt (/ -2 x)>
#<alt (/ (- (* -1/6 (pow x 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* -1/72 (pow x 2)) 1/6)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/864 (pow x 2)) 1/72)) 1/6)) 2) x)>
#<alt (/ 24 (pow x 3))>
#<alt (/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 24 (+ (* 288 (/ 1 (pow x 2))) (/ 3456 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 24 (+ (* 288 (/ 1 (pow x 2))) (+ (* 41472 (/ 1 (pow x 6))) (/ 3456 (pow x 4))))) (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 288 (* 3456 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3456 (* 41472 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 288 (/ 1 (pow x 2))))) (pow x 3)))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt -1/2>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))
1.0ms	x	@	inf	(* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))))
1.0ms	x	@	0	(* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))))
1.0ms	x	@	inf	(* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2)))
0.0ms	x	@	0	(* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2)))

rewrite409.0ms (4.6%)

Memory

11.7MiB live, 640.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 992×	`/-lowering-/.f32`
4 992×	`/-lowering-/.f64`
4 974×	`accelerator-lowering-fma.f32`
4 974×	`accelerator-lowering-fma.f64`
4 344×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	207
1	163	177
2	1446	163
0	8164	147

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 770

Calls

Call 1

Inputs
(neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))
(* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))))
(+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2))))
(/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4))
(* (* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2))) (/ 1 (* x (+ (* x (* x 1/24)) -1/2))))
(* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2)))
(* x (+ (* x (* x 1/24)) 1/2))
(+ (* x (* x 1/24)) 1/2)
(* (* x x) 1/576)
(/ 1/4 (+ (* x (* x 1/24)) -1/2))
(/ 1 (* x (+ (* x (* x 1/24)) -1/2)))
(* x 1/24)
(+ (* x (* x 1/24)) -1/2)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))) (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))))
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(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (.f64 (.f64 x x) #s(literal -1/48 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (.f64 (*.f64 x x) #s(literal -1/48 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (.f64 (*.f64 x x) #s(literal -1/48 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))))) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/48 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/48 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/191102976 binary64)) #s(literal -1/64 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))))) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/191102976 binary64)) #s(literal -1/64 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))))) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal 1/48 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))))) #s(literal -1/16 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/48 binary64))))))

simplify555.0ms (6.2%)

Memory

0.6MiB live, 586.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 620×	`accelerator-lowering-fma.f32`
7 620×	`accelerator-lowering-fma.f64`
4 590×	`-lowering-.f32`
4 590×	`-lowering-.f64`
2 478×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	1344
1	489	1344
2	1269	1332
3	3091	1324
4	7862	1324
0	8222	1243

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2)))))))
(/ -6 (pow x 2))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
(/ -6 (pow x 2))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* -1/144 (pow x 3))
(* (pow x 3) (- (* -1/20736 (pow x 4)) 1/144))
(* (pow x 3) (- (* (pow x 4) (- (* -1/2985984 (pow x 4)) 1/20736)) 1/144))
(* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -1/429981696 (pow x 4)) 1/2985984)) 1/20736)) 1/144))
(/ 1 x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (/ 20736 (pow x 8)))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (+ (* 2985984 (/ 1 (pow x 12))) (/ 20736 (pow x 8))))) x)
(/ 1 x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(* -1 (/ (- (* -1 (/ (+ 144 (* 20736 (/ 1 (pow x 4)))) (pow x 4))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 20736 (* 2985984 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 144 (/ 1 (pow x 4))))) x))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))
(* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))
(* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))
(* 1/576 (pow x 6))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* 1/576 (pow x 6))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
-1/2
(- (* -1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -1/288 (pow x 2)) 1/24)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3456 (pow x 2)) 1/288)) 1/24)) 1/2)
(/ 6 (pow x 2))
(/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))
(/ 6 (pow x 2))
(/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))
(/ -2 x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -1/72 (pow x 2)) 1/6)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/864 (pow x 2)) 1/72)) 1/6)) 2) x)
(/ 24 (pow x 3))
(/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 24 (+ (* 288 (/ 1 (pow x 2))) (/ 3456 (pow x 4)))) (pow x 3))
(/ (+ 24 (+ (* 288 (/ 1 (pow x 2))) (+ (* 41472 (/ 1 (pow x 6))) (/ 3456 (pow x 4))))) (pow x 3))
(/ 24 (pow x 3))
(/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 288 (* 3456 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 3456 (* 41472 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 288 (/ 1 (pow x 2))))) (pow x 3)))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/288 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/3456 binary64) #s(literal 1/288 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(/ -6 (pow x 2))
(/.f64 #s(literal -6 binary64) (*.f64 x x))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal -72 binary64) (/.f64 #s(literal -864 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -6 binary64) (-.f64 (/.f64 #s(literal -72 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 864 binary64) (/.f64 #s(literal 10368 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x))
(/ -6 (pow x 2))
(/.f64 #s(literal -6 binary64) (*.f64 x x))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal -72 binary64) (/.f64 #s(literal -864 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -6 binary64) (-.f64 (/.f64 #s(literal -72 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 864 binary64) (/.f64 #s(literal 10368 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* -1/144 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/144 binary64))
(* (pow x 3) (- (* -1/20736 (pow x 4)) 1/144))
(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/20736 binary64)) #s(literal -1/144 binary64))))
(* (pow x 3) (- (* (pow x 4) (- (* -1/2985984 (pow x 4)) 1/20736)) 1/144))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2985984 binary64)) #s(literal -1/20736 binary64))) #s(literal -1/144 binary64)))
(* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -1/429981696 (pow x 4)) 1/2985984)) 1/20736)) 1/144))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/429981696 binary64)) #s(literal -1/2985984 binary64)) x) (.f64 x (.f64 x x)) #s(literal -1/20736 binary64)) #s(literal -1/144 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 144 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (/ 20736 (pow x 8)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 144 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (+ (* 2985984 (/ 1 (pow x 12))) (/ 20736 (pow x 8))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 144 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 2985984 binary64) (pow.f64 x #s(literal 12 binary64))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 144 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ 144 (* 20736 (/ 1 (pow x 4)))) (pow x 4))) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -144 binary64) (/.f64 #s(literal -20736 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ 20736 (* 2985984 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 144 (/ 1 (pow x 4))))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 144 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal 20736 binary64) (/.f64 #s(literal 2985984 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* -1/4 (pow x 2))
(.f64 x (.f64 x #s(literal -1/4 binary64)))
(* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(* 1/576 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/576 binary64)))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/576 binary64)))) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/4 binary64) x)))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/576 binary64)))) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/4 binary64) x)))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/576 binary64)))) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/4 binary64) x)))
(* 1/576 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/576 binary64)))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/576 binary64)))) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/4 binary64) x)))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/576 binary64)))) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/4 binary64) x)))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/576 binary64)))) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/4 binary64) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* -1/24 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* -1/288 (pow x 2)) 1/24)) 1/2)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/288 binary64)) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3456 (pow x 2)) 1/288)) 1/24)) 1/2)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/3456 binary64)) #s(literal -1/288 binary64))) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 72 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (/.f64 #s(literal 10368 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))) (.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 72 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (/.f64 #s(literal 10368 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))) (.f64 x x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -1/72 (pow x 2)) 1/6)) 2) x)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/72 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/864 (pow x 2)) 1/72)) 1/6)) 2) x)
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/864 binary64) #s(literal -1/72 binary64))) #s(literal -1/6 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 288 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 24 (+ (* 288 (/ 1 (pow x 2))) (/ 3456 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 288 binary64) (.f64 x x))) (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(/ (+ 24 (+ (* 288 (/ 1 (pow x 2))) (+ (* 41472 (/ 1 (pow x 6))) (/ 3456 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 288 binary64) (.f64 x x)) (/.f64 #s(literal 41472 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))) (.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 288 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 288 (* 3456 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 3)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 #s(literal 288 binary64) (/.f64 #s(literal 3456 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 3456 (* 41472 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 288 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 288 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 3456 binary64) (/.f64 #s(literal 41472 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))

eval181.0ms (2%)

Memory: 8.5MiB live, 329.4MiB allocated
Compiler: Compiled 62 390 to 3 583 computations (94.3% saved)

prune159.0ms (1.8%)

Memory

3.5MiB live, 283.2MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 205	6	1 211
Fresh	0	0	0
Picked	2	1	3
Done	0	3	3
Total	1 207	10	1 217

Accuracy

100.0%

Counts

1 217 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.2%	(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal -2 binary64) x))
▶	27.8%	(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
▶	28.3%	(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
▶	1.3%	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -6 binary64) (.f64 x x))))
	1.3%	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
▶	43.0%	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
✓	43.5%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	43.8%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	7.9%	#s(literal 1 binary64)

Compiler

Compiled 360 to 203 computations (43.6% saved)

simplify359.0ms (4%)

Memory

-43.8MiB live, 450.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
✓	cost-diff	320	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -6 binary64) (.f64 x x))))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	960	(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
✓	cost-diff	1024	(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal -2 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal -1/4 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -1/4 binary64)))
✓	cost-diff	960	(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))
✓	cost-diff	0	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
✓	cost-diff	128	(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
✓	cost-diff	320	(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))

Rules

11 292×	`accelerator-lowering-fma.f32`
11 292×	`accelerator-lowering-fma.f64`
5 590×	`-lowering-.f32`
5 590×	`-lowering-.f64`
2 882×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	535
1	136	499
2	497	495
3	2062	457
4	6061	457
0	8276	416

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x 1/2)) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))))
x
(+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x 1/2)) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2))))
(/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4))
(* x (* (* x x) 1/576))
(* (* x x) 1/576)
(* x x)
1/576
(+ (* x (* x (* (* x x) 1/576))) -1/4)
-1/4
(* x 1/2)
1/2
(neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))
(/ 1/4 (+ (* x (* x 1/24)) -1/2))
1/4
(+ (* x (* x 1/24)) -1/2)
(* x 1/24)
1/24
-1/2
(* (* x (* x -1/4)) (/ 1 (* x (+ (* x (* x 1/24)) -1/2))))
(* x (* x -1/4))
x
(* x -1/4)
-1/4
(/ 1 (* x (+ (* x (* x 1/24)) -1/2)))
1
(* x (+ (* x (* x 1/24)) -1/2))
(+ (* x (* x 1/24)) -1/2)
(* x 1/24)
1/24
-1/2
(* (* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2))) (/ -2 x))
(* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2)))
(* x (+ (* x (* x 1/24)) 1/2))
x
(+ (* x (* x 1/24)) 1/2)
(* x 1/24)
1/24
1/2
(* x (+ (* x (* x 1/24)) -1/2))
(+ (* x (* x 1/24)) -1/2)
-1/2
(/ -2 x)
-2
(* (* (* x (+ (* x (* x 1/24)) 1/2)) (* x -1/2)) (/ 1 (* x (+ (* x (* x 1/24)) -1/2))))
(* (* x (+ (* x (* x 1/24)) 1/2)) (* x -1/2))
(* x (+ (* x (* x 1/24)) 1/2))
x
(+ (* x (* x 1/24)) 1/2)
(* x 1/24)
1/24
1/2
(* x -1/2)
-1/2
(/ 1 (* x (+ (* x (* x 1/24)) -1/2)))
1
(* x (+ (* x (* x 1/24)) -1/2))
(+ (* x (* x 1/24)) -1/2)
(* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (/ -6 (* x x))))
x
(+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (/ -6 (* x x)))
(/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4))
(* x (* (* x x) 1/576))
(* (* x x) 1/576)
(* x x)
1/576
(+ (* x (* x (* (* x x) 1/576))) -1/4)
-1/4
(* x (+ (* x (* x 1/24)) 1/2))
(+ (* x (* x 1/24)) 1/2)
(* x 1/24)
1/24
1/2
(/ -6 (* x x))
-6

Outputs
(* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x 1/2)) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))))
(.f64 x (fma.f64 x (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1152 binary64)) (fma.f64 x (.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x x))) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
x
(+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x 1/2)) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2))))
(fma.f64 x (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/1152 binary64)) (fma.f64 x (.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x x))) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4))
(/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x x))) #s(literal -1/4 binary64)))
(* x (* (* x x) 1/576))
(.f64 #s(literal 1/576 binary64) (.f64 x (*.f64 x x)))
(* (* x x) 1/576)
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* x x)
(*.f64 x x)
1/576
#s(literal 1/576 binary64)
(+ (* x (* x (* (* x x) 1/576))) -1/4)
(fma.f64 x (.f64 #s(literal 1/576 binary64) (.f64 x (*.f64 x x))) #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))
(/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/ 1/4 (+ (* x (* x 1/24)) -1/2))
(/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
1/4
#s(literal 1/4 binary64)
(+ (* x (* x 1/24)) -1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)
(* (* x (* x -1/4)) (/ 1 (* x (+ (* x (* x 1/24)) -1/2))))
(.f64 #s(literal -1/4 binary64) (/.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(* x (* x -1/4))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
x
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(/ 1 (* x (+ (* x (* x 1/24)) -1/2)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(* x (+ (* x (* x 1/24)) -1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(+ (* x (* x 1/24)) -1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)
(* (* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2))) (/ -2 x))
(.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))
(* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2)))
(.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(* x (+ (* x (* x 1/24)) 1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
x
(+ (* x (* x 1/24)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
1/2
#s(literal 1/2 binary64)
(* x (+ (* x (* x 1/24)) -1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(+ (* x (* x 1/24)) -1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
(* (* (* x (+ (* x (* x 1/24)) 1/2)) (* x -1/2)) (/ 1 (* x (+ (* x (* x 1/24)) -1/2))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* (* x (+ (* x (* x 1/24)) 1/2)) (* x -1/2))
(.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64) #s(literal -1/4 binary64))))
(* x (+ (* x (* x 1/24)) 1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
x
(+ (* x (* x 1/24)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
1/2
#s(literal 1/2 binary64)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ 1 (* x (+ (* x (* x 1/24)) -1/2)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(* x (+ (* x (* x 1/24)) -1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(+ (* x (* x 1/24)) -1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (/ -6 (* x x))))
(fma.f64 x (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 x (.f64 #s(literal 1/576 binary64) (.f64 x (*.f64 x x))) #s(literal -1/4 binary64))) (/.f64 #s(literal -6 binary64) x))
x
(+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (/ -6 (* x x)))
(fma.f64 x (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/576 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (fma.f64 x (.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x x))) #s(literal -1/4 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4))
(/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x x))) #s(literal -1/4 binary64)))
(* x (* (* x x) 1/576))
(.f64 #s(literal 1/576 binary64) (.f64 x (*.f64 x x)))
(* (* x x) 1/576)
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* x x)
(*.f64 x x)
1/576
#s(literal 1/576 binary64)
(+ (* x (* x (* (* x x) 1/576))) -1/4)
(fma.f64 x (.f64 #s(literal 1/576 binary64) (.f64 x (*.f64 x x))) #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(* x (+ (* x (* x 1/24)) 1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(+ (* x (* x 1/24)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
1/2
#s(literal 1/2 binary64)
(/ -6 (* x x))
(/.f64 #s(literal -6 binary64) (*.f64 x x))
-6
#s(literal -6 binary64)

localize199.0ms (2.2%)

Memory

39.2MiB live, 272.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.6%	(/.f64 #s(literal -6 binary64) (*.f64 x x))
✓	accuracy	92.0%	(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
✓	accuracy	84.3%	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -6 binary64) (.f64 x x))))
✓	accuracy	56.8%	(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
✓	accuracy	41.0%	(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	83.7%	(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal -2 binary64) x))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
✓	accuracy	47.3%	(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.0%	(.f64 (.f64 x x) #s(literal 1/576 binary64))
✓	accuracy	56.8%	(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))

Samples

117.0ms

256×

valid

Compiler

Compiled 499 to 44 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 64.0ms (74.6% of total)

ival-div: 8.0ms (9.3% of total)

const: 6.0ms (7% of total)

ival-add: 5.0ms (5.8% of total)

exact: 1.0ms (1.2% of total)

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

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

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

series22.0ms (0.2%)

Memory

-30.9MiB live, 19.7MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x 1/2)) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2))))>
#<alt (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))>
#<alt (* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x 1/2)) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))))>
#<alt (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4))>
#<alt (* (* x (* x -1/4)) (/ 1 (* x (+ (* x (* x 1/24)) -1/2))))>
#<alt (* x (* x -1/4))>
#<alt (* x -1/4)>
#<alt (/ 1 (* x (+ (* x (* x 1/24)) -1/2)))>
#<alt (* (* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2))) (/ -2 x))>
#<alt (* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2)))>
#<alt (* x (+ (* x (* x 1/24)) 1/2))>
#<alt (+ (* x (* x 1/24)) 1/2)>
#<alt (* (* (* x (+ (* x (* x 1/24)) 1/2)) (* x -1/2)) (/ 1 (* x (+ (* x (* x 1/24)) -1/2))))>
#<alt (* (* x (+ (* x (* x 1/24)) 1/2)) (* x -1/2))>
#<alt (* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (/ -6 (* x x))))>
#<alt (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (/ -6 (* x x)))>
#<alt (* x (* (* x x) 1/576))>
#<alt (* (* x x) 1/576)>
#<alt (/ 1/4 (+ (* x (* x 1/24)) -1/2))>
#<alt (* x 1/24)>
#<alt (+ (* x (* x 1/24)) -1/2)>
#<alt (/ -6 (* x x))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/3456 (pow x 4)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (+ 1/3456 (* 1/497664 (pow x 4)))))))>
#<alt 1/2>
#<alt (- 1/2 (* 6 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (* -1 (/ (+ 6 (* 864 (/ 1 (pow x 4)))) (pow x 2))))>
#<alt (- (+ 1/2 (* -1 (/ (+ 864 (* 124416 (/ 1 (pow x 4)))) (pow x 6)))) (* 6 (/ 1 (pow x 2))))>
#<alt 1/2>
#<alt (- 1/2 (* 6 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (* -1 (/ (+ 6 (* 864 (/ 1 (pow x 4)))) (pow x 2))))>
#<alt (- (+ 1/2 (* -1 (/ (+ 864 (* 124416 (/ 1 (pow x 4)))) (pow x 6)))) (* 6 (/ 1 (pow x 2))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2)))))))>
#<alt (/ -6 (pow x 2))>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/3456 (pow x 4))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (+ 1/3456 (* 1/497664 (pow x 4))))))))>
#<alt (* 1/2 x)>
#<alt (* x (- 1/2 (* 6 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/2 (* -1 (/ (+ 6 (* 864 (/ 1 (pow x 4)))) (pow x 2)))))>
#<alt (* x (- (+ 1/2 (* -1 (/ (+ 864 (* 124416 (/ 1 (pow x 4)))) (pow x 6)))) (* 6 (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 6 (/ 1 (pow x 2))) 1/2)))>
#<alt (* -1 (* x (- (+ (* 6 (/ 1 (pow x 2))) (/ 864 (pow x 6))) 1/2)))>
#<alt (* -1 (* x (- (+ (* 6 (/ 1 (pow x 2))) (+ (* 124416 (/ 1 (pow x 10))) (/ 864 (pow x 6)))) 1/2)))>
#<alt (* -1/144 (pow x 3))>
#<alt (* (pow x 3) (- (* -1/20736 (pow x 4)) 1/144))>
#<alt (* (pow x 3) (- (* (pow x 4) (- (* -1/2985984 (pow x 4)) 1/20736)) 1/144))>
#<alt (* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -1/429981696 (pow x 4)) 1/2985984)) 1/20736)) 1/144))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)>
#<alt (/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (/ 20736 (pow x 8)))) x)>
#<alt (/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (+ (* 2985984 (/ 1 (pow x 12))) (/ 20736 (pow x 8))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 144 (* 20736 (/ 1 (pow x 4)))) (pow x 4))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 20736 (* 2985984 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 144 (/ 1 (pow x 4))))) x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2))))))))>
#<alt (/ -6 x)>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) x)>
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) x)>
#<alt (/ -6 x)>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) x))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (/ -2 x)>
#<alt (/ (- (* -1/6 (pow x 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* -1/72 (pow x 2)) 1/6)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/864 (pow x 2)) 1/72)) 1/6)) 2) x)>
#<alt (/ 24 (pow x 3))>
#<alt (/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 24 (+ (* 288 (/ 1 (pow x 2))) (/ 3456 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 24 (+ (* 288 (/ 1 (pow x 2))) (+ (* 41472 (/ 1 (pow x 6))) (/ 3456 (pow x 4))))) (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 288 (* 3456 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3456 (* 41472 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 288 (/ 1 (pow x 2))))) (pow x 3)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/288 (pow x 4))))>
#<alt (* x (+ 1/2 (* -1/288 (pow x 4))))>
#<alt (* x (+ 1/2 (* -1/288 (pow x 4))))>
#<alt (* -1/288 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/2 (/ 1 (pow x 4))) 1/288))>
#<alt (* (pow x 5) (- (* 1/2 (/ 1 (pow x 4))) 1/288))>
#<alt (* (pow x 5) (- (* 1/2 (/ 1 (pow x 4))) 1/288))>
#<alt (* -1/288 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/288 (* 1/2 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/288 (* 1/2 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/288 (* 1/2 (/ 1 (pow x 4))))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/12 (* 1/144 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/144 (* 1/1728 (pow x 2))))))))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (* 12 (/ 1 (pow x 2))))))>
#<alt (* x (- (* -1 (/ (+ 12 (* 144 (/ 1 (pow x 2)))) (pow x 2))) 1/2))>
#<alt (* x (- (* -1 (/ (+ 144 (* 1728 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 12 (/ 1 (pow x 2))))))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (* 12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1/2 (+ (* 12 (/ 1 (pow x 2))) (/ 144 (pow x 4))))))>
#<alt (* -1 (* x (+ 1/2 (+ (* 12 (/ 1 (pow x 2))) (+ (* 1728 (/ 1 (pow x 6))) (/ 144 (pow x 4)))))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/48 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* -1/48 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* -1/48 (pow x 2)) 1/4))>
#<alt (* -1/48 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/48 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/48 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/48 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1/48 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/48 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/48 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/48 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (/ -6 x)>
#<alt (/ (- (* -1/288 (pow x 6)) 6) x)>
#<alt (/ (- (* (pow x 6) (- (* -1/3456 (pow x 2)) 1/288)) 6) x)>
#<alt (/ (- (* (pow x 6) (- (* (pow x 2) (- (* -1/41472 (pow x 2)) 1/3456)) 1/288)) 6) x)>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 72 (pow x 6)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 864 (/ 1 (pow x 8))) (/ 72 (pow x 6))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (* 72 (/ 1 (pow x 4)))) (pow x 2))) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (/ -6 (pow x 2))>
#<alt (/ (- (* -1/288 (pow x 6)) 6) (pow x 2))>
#<alt (/ (- (* (pow x 6) (- (* -1/3456 (pow x 2)) 1/288)) 6) (pow x 2))>
#<alt (/ (- (* (pow x 6) (- (* (pow x 2) (- (* -1/41472 (pow x 2)) 1/3456)) 1/288)) 6) (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 72 (pow x 6)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 864 (/ 1 (pow x 8))) (/ 72 (pow x 6))))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 72 (pow x 6)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 864 (/ 1 (pow x 8))) (/ 72 (pow x 6))))))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt -1/2>
#<alt (- (* -1/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (- (* -1/288 (pow x 2)) 1/24)) 1/2)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3456 (pow x 2)) 1/288)) 1/24)) 1/2)>
#<alt (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt -1/2>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ -6 (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (/ -6 (pow x 2))>

Calls

66 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x 1/2)) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2))))
2.0ms	x	@	0	(* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x 1/2)) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))))
1.0ms	x	@	inf	(* (* (* x (+ (* x (* x 1/24)) 1/2)) (* x -1/2)) (/ 1 (* x (+ (* x (* x 1/24)) -1/2))))
0.0ms	x	@	0	(* (* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2))) (/ -2 x))
0.0ms	x	@	0	(* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (/ -6 (* x x))))

rewrite499.0ms (5.6%)

Memory

-8.3MiB live, 666.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 828×	`-lowering-.f32`
5 828×	`-lowering-.f64`
4 842×	`/-lowering-/.f32`
4 842×	`/-lowering-/.f64`
3 914×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	332
1	235	310
2	2118	290
0	9072	263

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 890

Calls

Call 1

Inputs
(+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x 1/2)) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2))))
(neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))
(* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x 1/2)) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2)))))
(/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4))
(* (* x (* x -1/4)) (/ 1 (* x (+ (* x (* x 1/24)) -1/2))))
(* x (* x -1/4))
(* x -1/4)
(/ 1 (* x (+ (* x (* x 1/24)) -1/2)))
(* (* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2))) (/ -2 x))
(* (* x (+ (* x (* x 1/24)) 1/2)) (* x (+ (* x (* x 1/24)) -1/2)))
(* x (+ (* x (* x 1/24)) 1/2))
(+ (* x (* x 1/24)) 1/2)
(* (* (* x (+ (* x (* x 1/24)) 1/2)) (* x -1/2)) (/ 1 (* x (+ (* x (* x 1/24)) -1/2))))
(* (* x (+ (* x (* x 1/24)) 1/2)) (* x -1/2))
(* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (/ -6 (* x x))))
(+ (* (/ (* x (* (* x x) 1/576)) (+ (* x (* x (* (* x x) 1/576))) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (/ -6 (* x x)))
(* x (* (* x x) 1/576))
(* (* x x) 1/576)
(/ 1/4 (+ (* x (* x 1/24)) -1/2))
(* x 1/24)
(+ (* x (* x 1/24)) -1/2)
(/ -6 (* x x))

Outputs
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))) (fma.f64 x (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (fma.f64 x (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(-.f64 (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))))
(fma.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) x (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/191102976 binary64)) #s(literal -1/64 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1/16 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/16 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/48 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))))
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(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/48 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) #s(literal 1/8 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/48 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal -1/48 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(/.f64 #s(literal -6 binary64) (*.f64 x x))
(/.f64 #s(literal -6 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 6 binary64) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal -6 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal -6 binary64) x)) (neg.f64 x))
(pow.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (.f64 x x)))
(.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -6 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -6 binary64))
(*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal 1 binary64) x))

simplify530.0ms (6%)

Memory

6.6MiB live, 605.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 410×	`accelerator-lowering-fma.f32`
13 410×	`accelerator-lowering-fma.f64`
5 536×	`-lowering-.f32`
5 536×	`-lowering-.f64`
3 822×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	380	2419
1	1026	2413
2	2869	2367
3	7757	2366
0	8268	2259

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/3456 (pow x 4)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (+ 1/3456 (* 1/497664 (pow x 4)))))))
1/2
(- 1/2 (* 6 (/ 1 (pow x 2))))
(+ 1/2 (* -1 (/ (+ 6 (* 864 (/ 1 (pow x 4)))) (pow x 2))))
(- (+ 1/2 (* -1 (/ (+ 864 (* 124416 (/ 1 (pow x 4)))) (pow x 6)))) (* 6 (/ 1 (pow x 2))))
1/2
(- 1/2 (* 6 (/ 1 (pow x 2))))
(+ 1/2 (* -1 (/ (+ 6 (* 864 (/ 1 (pow x 4)))) (pow x 2))))
(- (+ 1/2 (* -1 (/ (+ 864 (* 124416 (/ 1 (pow x 4)))) (pow x 6)))) (* 6 (/ 1 (pow x 2))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2)))))))
(/ -6 (pow x 2))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
(/ -6 (pow x 2))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/3456 (pow x 4))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (+ 1/3456 (* 1/497664 (pow x 4))))))))
(* 1/2 x)
(* x (- 1/2 (* 6 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* -1 (/ (+ 6 (* 864 (/ 1 (pow x 4)))) (pow x 2)))))
(* x (- (+ 1/2 (* -1 (/ (+ 864 (* 124416 (/ 1 (pow x 4)))) (pow x 6)))) (* 6 (/ 1 (pow x 2)))))
(* 1/2 x)
(* -1 (* x (- (* 6 (/ 1 (pow x 2))) 1/2)))
(* -1 (* x (- (+ (* 6 (/ 1 (pow x 2))) (/ 864 (pow x 6))) 1/2)))
(* -1 (* x (- (+ (* 6 (/ 1 (pow x 2))) (+ (* 124416 (/ 1 (pow x 10))) (/ 864 (pow x 6)))) 1/2)))
(* -1/144 (pow x 3))
(* (pow x 3) (- (* -1/20736 (pow x 4)) 1/144))
(* (pow x 3) (- (* (pow x 4) (- (* -1/2985984 (pow x 4)) 1/20736)) 1/144))
(* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -1/429981696 (pow x 4)) 1/2985984)) 1/20736)) 1/144))
(/ 1 x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (/ 20736 (pow x 8)))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (+ (* 2985984 (/ 1 (pow x 12))) (/ 20736 (pow x 8))))) x)
(/ 1 x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(* -1 (/ (- (* -1 (/ (+ 144 (* 20736 (/ 1 (pow x 4)))) (pow x 4))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 20736 (* 2985984 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 144 (/ 1 (pow x 4))))) x))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2))))))))
(/ -6 x)
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) x)
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) x)
(/ -6 x)
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) x))
(* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) x))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(/ -2 x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -1/72 (pow x 2)) 1/6)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/864 (pow x 2)) 1/72)) 1/6)) 2) x)
(/ 24 (pow x 3))
(/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 24 (+ (* 288 (/ 1 (pow x 2))) (/ 3456 (pow x 4)))) (pow x 3))
(/ (+ 24 (+ (* 288 (/ 1 (pow x 2))) (+ (* 41472 (/ 1 (pow x 6))) (/ 3456 (pow x 4))))) (pow x 3))
(/ 24 (pow x 3))
(/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 288 (* 3456 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 3456 (* 41472 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 288 (/ 1 (pow x 2))))) (pow x 3)))
(* 1/2 x)
(* x (+ 1/2 (* -1/288 (pow x 4))))
(* x (+ 1/2 (* -1/288 (pow x 4))))
(* x (+ 1/2 (* -1/288 (pow x 4))))
(* -1/288 (pow x 5))
(* (pow x 5) (- (* 1/2 (/ 1 (pow x 4))) 1/288))
(* (pow x 5) (- (* 1/2 (/ 1 (pow x 4))) 1/288))
(* (pow x 5) (- (* 1/2 (/ 1 (pow x 4))) 1/288))
(* -1/288 (pow x 5))
(* -1 (* (pow x 5) (- 1/288 (* 1/2 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/288 (* 1/2 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/288 (* 1/2 (/ 1 (pow x 4))))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))
(* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))
(* (pow x 2) (- (* 1/576 (pow x 4)) 1/4))
(* 1/576 (pow x 6))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* 1/576 (pow x 6))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/576 (* 1/4 (/ 1 (pow x 4)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/12 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/12 (* 1/144 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/144 (* 1/1728 (pow x 2))))))))
(* -1/2 x)
(* -1 (* x (+ 1/2 (* 12 (/ 1 (pow x 2))))))
(* x (- (* -1 (/ (+ 12 (* 144 (/ 1 (pow x 2)))) (pow x 2))) 1/2))
(* x (- (* -1 (/ (+ 144 (* 1728 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 12 (/ 1 (pow x 2))))))
(* -1/2 x)
(* -1 (* x (+ 1/2 (* 12 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1/2 (+ (* 12 (/ 1 (pow x 2))) (/ 144 (pow x 4))))))
(* -1 (* x (+ 1/2 (+ (* 12 (/ 1 (pow x 2))) (+ (* 1728 (/ 1 (pow x 6))) (/ 144 (pow x 4)))))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* -1/48 (pow x 2)) 1/4))
(* (pow x 2) (- (* -1/48 (pow x 2)) 1/4))
(* (pow x 2) (- (* -1/48 (pow x 2)) 1/4))
(* -1/48 (pow x 4))
(* -1 (* (pow x 4) (+ 1/48 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/48 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/48 (* 1/4 (/ 1 (pow x 2))))))
(* -1/48 (pow x 4))
(* -1 (* (pow x 4) (+ 1/48 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/48 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/48 (* 1/4 (/ 1 (pow x 2))))))
(/ -6 x)
(/ (- (* -1/288 (pow x 6)) 6) x)
(/ (- (* (pow x 6) (- (* -1/3456 (pow x 2)) 1/288)) 6) x)
(/ (- (* (pow x 6) (- (* (pow x 2) (- (* -1/41472 (pow x 2)) 1/3456)) 1/288)) 6) x)
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 72 (pow x 6)))))
(* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 864 (/ 1 (pow x 8))) (/ 72 (pow x 6))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (* 72 (/ 1 (pow x 4)))) (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
(/ -6 (pow x 2))
(/ (- (* -1/288 (pow x 6)) 6) (pow x 2))
(/ (- (* (pow x 6) (- (* -1/3456 (pow x 2)) 1/288)) 6) (pow x 2))
(/ (- (* (pow x 6) (- (* (pow x 2) (- (* -1/41472 (pow x 2)) 1/3456)) 1/288)) 6) (pow x 2))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 72 (pow x 6)))))
(* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 864 (/ 1 (pow x 8))) (/ 72 (pow x 6))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 72 (pow x 6)))))
(* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 864 (/ 1 (pow x 8))) (/ 72 (pow x 6))))))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
-1/2
(- (* -1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -1/288 (pow x 2)) 1/24)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3456 (pow x 2)) 1/288)) 1/24)) 1/2)
(/ 6 (pow x 2))
(/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))
(/ 6 (pow x 2))
(/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(/ -6 (pow x 2))
(/ -6 (pow x 2))
(/ -6 (pow x 2))
(/ -6 (pow x 2))
(/ -6 (pow x 2))
(/ -6 (pow x 2))
(/ -6 (pow x 2))
(/ -6 (pow x 2))
(/ -6 (pow x 2))
(/ -6 (pow x 2))
(/ -6 (pow x 2))
(/ -6 (pow x 2))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/3456 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3456 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (+ 1/3456 (* 1/497664 (pow x 4)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/497664 binary64) #s(literal 1/3456 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(+ 1/2 (* -1 (/ (+ 6 (* 864 (/ 1 (pow x 4)))) (pow x 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)))
(- (+ 1/2 (* -1 (/ (+ 864 (* 124416 (/ 1 (pow x 4)))) (pow x 6)))) (* 6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 #s(literal -864 binary64) (/.f64 #s(literal -124416 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))) (/.f64 #s(literal -6 binary64) (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(+ 1/2 (* -1 (/ (+ 6 (* 864 (/ 1 (pow x 4)))) (pow x 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)))
(- (+ 1/2 (* -1 (/ (+ 864 (* 124416 (/ 1 (pow x 4)))) (pow x 6)))) (* 6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 #s(literal -864 binary64) (/.f64 #s(literal -124416 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))) (/.f64 #s(literal -6 binary64) (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
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-1/2
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(* 1/24 x)
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(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
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(/.f64 #s(literal -6 binary64) (*.f64 x x))
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eval230.0ms (2.6%)

Memory: 47.9MiB live, 492.7MiB allocated
Compiler: Compiled 67 370 to 4 050 computations (94% saved)

prune188.0ms (2.1%)

Memory

-4.4MiB live, 411.3MiB allocated

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	1 625	25	1 650
Fresh	1	0	1
Picked	5	0	5
Done	0	4	4
Total	1 631	29	1 660

Accuracy

100.0%

Counts

1 660 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.4%	(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
	28.0%	(/.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
	2.8%	(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
	28.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
	3.0%	(/.f64 #s(literal -6 binary64) x)
	43.2%	(.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) x))
	28.4%	(.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) x))
	43.1%	(.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
	27.8%	(.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
	27.7%	(.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
	42.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))
	42.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x) (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
	1.3%	(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 24 binary64) (.f64 x (*.f64 x x))))
	27.7%	(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))))
	27.6%	(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
	3.5%	(.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
	3.5%	(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/48 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
	28.3%	(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x))
	1.7%	(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 24 binary64) (.f64 x (*.f64 x x))))
	1.7%	(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
	28.2%	(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
	28.4%	(.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	43.5%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
	2.9%	(.f64 x (/.f64 #s(literal -6 binary64) (.f64 x x)))
	43.4%	(.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
	3.5%	(*.f64 x #s(literal -1/2 binary64))
✓	43.8%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	7.9%	#s(literal 1 binary64)

Compiler

Compiled 1 242 to 434 computations (65.1% saved)

regimes44.0ms (0.5%)

Memory

-11.6MiB live, 27.5MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -6 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 x (/.f64 #s(literal -6 binary64) (.f64 x x)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 24 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) x))
(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/48 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 24 binary64) (.f64 x (*.f64 x x))))
(.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal -2 binary64) x))
(.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x) (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -6 binary64) (.f64 x x))))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))))
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Outputs
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))

Calls

2 calls:

31.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
11.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes21.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -6 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 x (/.f64 #s(literal -6 binary64) (.f64 x x)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 24 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) x))
(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/48 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 24 binary64) (.f64 x (*.f64 x x))))
(.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal -2 binary64) x))
(.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x) (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -6 binary64) (.f64 x x))))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))))
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))

Outputs

(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))

#s(literal 1 binary64)

Calls

2 calls:

10.0ms	x
9.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
47.7%	2	`x`
48.2%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes13.0ms (0.1%)

Memory

-28.8MiB live, 12.2MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -6 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 x (/.f64 #s(literal -6 binary64) (.f64 x x)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 24 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 x x) (/.f64 #s(literal -1/4 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) x))
(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/48 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 24 binary64) (.f64 x (*.f64 x x))))

Outputs
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(literal 1 binary64)

Calls

2 calls:

6.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
5.0ms	x

Results

Accuracy	Segments	Branch
47.7%	2	`x`
47.5%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -6 binary64) x)

Outputs
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
47.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
7.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
7.9%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.434928373483023e-5	0.007536971157317074

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch20.0ms (0.2%)

Memory

-10.7MiB live, 27.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.00010869856661147732	51.11426692445929

Samples

14.0ms

144×

valid

Compiler

Compiled 128 to 100 computations (21.9% saved)

Precisions

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

ival-cos: 6.0ms (53% of total)

ival-sin: 4.0ms (35.3% of total)

ival-sub: 1.0ms (8.8% of total)

ival-div: 1.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.00010869856661147732	51.11426692445929

Samples

11.0ms

144×

valid

Compiler

Compiled 83 to 73 computations (12% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 3.0ms (37% of total)

ival-sin: 3.0ms (37% of total)

ival-sub: 1.0ms (12.3% of total)

ival-div: 1.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

-24.8MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	58
1	42	58
2	46	58
3	48	58
4	49	58

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 7378697629483821/73786976294838206464 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 7093169413108531/2251799813685248 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 7378697629483821/73786976294838206464 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 7093169413108531/2251799813685248 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness872.0ms (9.8%)

Memory

47.2MiB live, 595.1MiB allocated

Rules

19 148×	`accelerator-lowering-fma.f32`
19 148×	`accelerator-lowering-fma.f64`
7 620×	`accelerator-lowering-fma.f32`
7 620×	`accelerator-lowering-fma.f64`
7 312×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	211	1344
1	489	1344
2	1269	1332
3	3091	1324
4	7862	1324
0	8222	1243
0	79	286
1	224	286
2	555	280
3	1656	280
4	3000	280
5	4243	280
6	4592	280
7	5323	280
8	6815	280
0	8390	256
0	6	12
1	35	12
2	241	12
3	2351	11
0	8884	11
0	42	332
1	235	310
2	2118	290
0	9072	263
0	13	30
1	51	30
2	234	30
3	1703	30
0	8292	28

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

Compiler

Compiled 141 to 83 computations (41.1% saved)

preprocess82.0ms (0.9%)

Memory: -28.4MiB live, 85.5MiB allocated
Remove: (negabs x)
Compiler: Compiled 154 to 86 computations (44.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	13
1	38	13
2	77	12
3	181	12
4	444	12
5	684	12
6	719	12
0	6	4
1	16	4
2	22	4
3	33	4
4	54	4
5	77	4
6	110	4
7	184	4
8	307	4
9	515	4
10	557	4
11	560	4
12	568	4
13	574	4
14	578	4
15	585	4
16	592	4
17	593	4
0	593	4

Iter	Nodes	Cost
0	6	14
1	16	14
2	22	14
3	33	14
4	54	14
5	77	14
6	110	14
7	184	14
8	307	14
9	515	14
10	557	14
11	560	14
12	568	14
13	574	14
14	578	14
15	585	14
16	592	14
17	593	14
0	593	14

Iter	Nodes	Cost
0	12	13
1	38	13
2	77	12
3	181	12
4	444	12
5	684	12
6	719	12
0	6	4
1	16	4
2	22	4
3	33	4
4	54	4
5	77	4
6	110	4
7	184	4
8	307	4
9	515	4
10	557	4
11	560	4
12	568	4
13	574	4
14	578	4
15	585	4
16	592	4
17	593	4
0	593	4

Iter	Nodes	Cost
0	6	14
1	16	14
2	22	14
3	33	14
4	54	14
5	77	14
6	110	14
7	184	14
8	307	14
9	515	14
10	557	14
11	560	14
12	568	14
13	574	14
14	578	14
15	585	14
16	592	14
17	593	14
0	593	14

analyze122.0ms (1.4%)

sample1.8s (20.6%)

preprocess49.0ms (0.6%)

explain217.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.3%)

localize52.0ms (0.6%)

series5.0ms (0.1%)

rewrite313.0ms (3.5%)

simplify435.0ms (4.9%)

eval100.0ms (1.1%)

prune75.0ms (0.8%)

simplify5.0ms (0.1%)

localize80.0ms (0.9%)

series6.0ms (0.1%)

rewrite382.0ms (4.3%)

simplify329.0ms (3.7%)

eval62.0ms (0.7%)

prune54.0ms (0.6%)

simplify181.0ms (2%)

localize141.0ms (1.6%)

series11.0ms (0.1%)

rewrite409.0ms (4.6%)

simplify555.0ms (6.2%)

eval181.0ms (2%)

prune159.0ms (1.8%)

simplify359.0ms (4%)

localize199.0ms (2.2%)

series22.0ms (0.2%)

rewrite499.0ms (5.6%)

simplify530.0ms (6%)

eval230.0ms (2.6%)

prune188.0ms (2.1%)

regimes44.0ms (0.5%)

regimes21.0ms (0.2%)

regimes13.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch20.0ms (0.2%)

bsearch17.0ms (0.2%)

simplify10.0ms (0.1%)

soundness872.0ms (9.8%)

preprocess82.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	13
1	38	13
2	77	12
3	181	12
4	444	12
5	684	12
6	719	12
0	6	4
1	16	4
2	22	4
3	33	4
4	54	4
5	77	4
6	110	4
7	184	4
8	307	4
9	515	4
10	557	4
11	560	4
12	568	4
13	574	4
14	578	4
15	585	4
16	592	4
17	593	4
0	593	4

Iter	Nodes	Cost
0	6	14
1	16	14
2	22	14
3	33	14
4	54	14
5	77	14
6	110	14
7	184	14
8	307	14
9	515	14
10	557	14
11	560	14
12	568	14
13	574	14
14	578	14
15	585	14
16	592	14
17	593	14
0	593	14