Metrics for cos2 (problem 3.4.1)

analyze1.0ms (0%)

Memory

2.8MiB live, 2.8MiB 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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample3.0s (25.5%)

Memory

-37.5MiB live, 2 064.4MiB allocated

Samples

1.1s	2 158×	2	valid
814.0ms	555×	3	valid
528.0ms	4 216×	0	valid
243.0ms	1 327×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-cos: 1.3s (64.7% of total)

ival-sub: 460.0ms (23.1% of total)

ival-div: 114.0ms (5.7% of total)

adjust: 57.0ms (2.9% of total)

ival-mult: 53.0ms (2.7% of total)

exact: 9.0ms (0.5% of total)

ival-true: 6.0ms (0.3% of total)

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

Bogosity

preprocess60.0ms (0.5%)

Memory

-0.4MiB live, 82.1MiB allocated

Algorithm

2×	egg-herbie

Rules

408×	`accelerator-lowering-fma.f32`
408×	`accelerator-lowering-fma.f64`
322×	`times-frac`
284×	`times-frac`
272×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	38	25
2	110	24
3	304	24
4	772	24
5	1232	24
6	1342	24
7	1358	24
0	6	8
1	15	8
2	26	8
3	42	8
4	78	8
5	127	8
6	184	8
7	319	8
8	618	8
9	1015	8
10	1130	8
0	1130	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (- 1 (cos x)) (* x x))
(/ (- 1 (cos (neg x))) (* (neg x) (neg x)))
(/ (- 1 (cos x)) (* x x))
(neg (/ (- 1 (cos (neg x))) (* (neg x) (neg x))))
(/ (+ (cos x) -1) (* x x))

Symmetry

(abs x)

explain164.0ms (1.4%)

Memory

-15.2MiB live, 299.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
69	-	1	(1.7769060242779293e+307)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
57	-	3	(1.3900592158496439e-160)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	68	7
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	54	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	54
↳	`(*.f64 x x)`	underflow	54

Confusion

	Predicted +	Predicted -
+	121	0
-	1	134

Precision

0.9918032786885246

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	0	0
-	1	7	127

Precision?

0.937984496124031

Recall?

1.0

Freqs

test

number	freq
0	134
1	122

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms	274×	0	valid
36.0ms	124×	2	valid
9.0ms	86×	1	valid
9.0ms	28×	3	valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-cos: 42.0ms (70.1% of total)

ival-div: 5.0ms (8.4% of total)

ival-sub: 5.0ms (8.4% of total)

ival-mult: 4.0ms (6.7% of total)

adjust: 3.0ms (5% of total)

exact: 1.0ms (1.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify60.0ms (0.5%)

Memory

30.6MiB live, 70.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Rules

408×	`accelerator-lowering-fma.f32`
408×	`accelerator-lowering-fma.f64`
284×	`times-frac`
272×	`-lowering-.f32`
272×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	15	19
2	26	19
3	42	19
4	78	19
5	127	19
6	184	19
7	319	19
8	618	19
9	1015	19
10	1130	19
0	1130	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize54.0ms (0.5%)

Memory

-16.6MiB live, 110.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	78.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	accuracy	76.0%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

22.0ms	62×	2	valid
12.0ms	137×	0	valid
5.0ms	14×	3	valid
4.0ms	43×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-cos: 20.0ms (68.8% of total)

ival-div: 3.0ms (10.3% of total)

adjust: 2.0ms (6.9% of total)

ival-mult: 2.0ms (6.9% of total)

ival-sub: 2.0ms (6.9% of total)

exact: 0.0ms (0% of total)

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

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

series3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

12 calls:

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

rewrite408.0ms (3.4%)

Memory

-12.8MiB live, 822.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 736×	`/-lowering-/.f32`
4 736×	`/-lowering-/.f64`
3 980×	`accelerator-lowering-fma.f32`
3 980×	`accelerator-lowering-fma.f64`
3 064×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	36	17
2	264	17
3	2800	17
0	9643	17

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 629

Calls

Call 1

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

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

simplify533.0ms (4.5%)

Memory

14.9MiB live, 692.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 752×	`accelerator-lowering-fma.f32`
16 752×	`accelerator-lowering-fma.f64`
3 896×	`-lowering-.f32`
3 896×	`-lowering-.f64`
1 568×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	284
1	105	284
2	258	284
3	609	284
4	1279	284
5	2001	284
6	2304	284
7	3158	284
8	4639	284
9	6288	284
10	7157	284
11	7373	284
12	7391	284
13	7393	284
14	7798	284
0	8007	266

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64)))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64)))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64)))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64)))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64)))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64)))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64)))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64)))
(* 1/2 (pow x 2))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 0 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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 0 binary64)) #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 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal 0 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)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval78.0ms (0.7%)

Memory: -12.6MiB live, 178.2MiB allocated
Compiler: Compiled 16 235 to 1 638 computations (89.9% saved)

prune100.0ms (0.8%)

Memory

16.7MiB live, 218.2MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	656	21	677
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	656	22	678

Accuracy

100.0%

Counts

678 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.5%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
	48.0%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
▶	53.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
	47.9%	(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))
	26.0%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
	54.5%	(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x))
	53.4%	(/.f64 (/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (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))) (*.f64 x x))
	54.4%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
	18.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (*.f64 x x)))
	45.0%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
	53.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (.f64 (.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
▶	53.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	53.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	29.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
	53.4%	(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
	77.9%	(/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 x x))
	53.8%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
	53.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	53.7%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
▶	78.8%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	53.8%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
▶	49.1%	#s(literal 1/2 binary64)

Compiler

Compiled 617 to 376 computations (39.1% saved)

simplify101.0ms (0.8%)

Memory

5.7MiB live, 80.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
✓	cost-diff	1792	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	1024	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	cost-diff	320	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(/.f64 (sin.f64 x) (*.f64 x x))
✓	cost-diff	320	(/.f64 x #s(literal 2 binary64))

Rules

856×	`accelerator-lowering-fma.f32`
856×	`accelerator-lowering-fma.f64`
752×	`times-frac`
720×	`-lowering-.f32`
720×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	120
1	63	112
2	160	112
3	388	112
4	758	112
5	1166	112
6	2763	112
7	3239	112
8	3435	112
9	3464	112
10	3492	112
11	3504	112
12	3564	112
13	3584	112
0	3584	112

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ (sin x) (* x x)) (tan (/ x 2)))
(/ (sin x) (* x x))
(sin x)
x
(* x x)
(tan (/ x 2))
(/ x 2)
2
1/2
(* (/ -1 (* x x)) (+ (cos x) -1))
(/ -1 (* x x))
-1
(* x x)
x
(+ (cos x) -1)
(cos x)
(/ (- 1 (cos x)) (/ x (/ 1 x)))
(- 1 (cos x))
1
(cos x)
x
(/ x (/ 1 x))
(/ 1 x)
(+ (* (/ 1 x) (/ 1 x)) (* (/ 1 (* x x)) (- 0 (cos x))))
(/ 1 x)
1
x
(* (/ 1 (* x x)) (- 0 (cos x)))
(/ 1 (* x x))
(* x x)
(- 0 (cos x))
0
(cos x)

Outputs
(* (/ (sin x) (* x x)) (tan (/ x 2)))
(/.f64 (fma.f64 (sin.f64 x) (tan.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (sin x) (* x x))
(/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64)))
(sin x)
(sin.f64 x)
x
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(tan (/ x 2))
(tan.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(/ x 2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(* (/ -1 (* x x)) (+ (cos x) -1))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64)))
(/ -1 (* x x))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(+ (cos x) -1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (- 1 (cos x)) (/ x (/ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(/ x (/ 1 x))
(fma.f64 x x #s(literal 0 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* (/ 1 x) (/ 1 x)) (* (/ 1 (* x x)) (- 0 (cos x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* (/ 1 (* x x)) (- 0 (cos x)))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(- 0 (cos x))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
0
#s(literal 0 binary64)
(cos x)
(cos.f64 x)

localize146.0ms (1.2%)

Memory

8.7MiB live, 274.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	54.0%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	accuracy	78.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	76.0%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	accuracy	78.2%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	accuracy	76.0%	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	accuracy	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.8%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	accuracy	79.6%	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

71.0ms	119×	1	valid
40.0ms	137×	0	valid

Compiler

Compiled 133 to 27 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-div: 21.0ms (22.7% of total)

ival-cos: 19.0ms (20.5% of total)

ival-mult: 15.0ms (16.2% of total)

ival-add: 11.0ms (11.9% of total)

ival-sin: 8.0ms (8.6% of total)

ival-sub: 7.0ms (7.6% of total)

adjust: 6.0ms (6.5% of total)

ival-tan: 5.0ms (5.4% of total)

exact: 1.0ms (1.1% of total)

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

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

series16.0ms (0.1%)

Memory

-9.4MiB live, 27.9MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (/ x 2)>
#<alt (/ (sin x) (* x x))>
#<alt (sin x)>
#<alt (tan (/ x 2))>
#<alt (* (/ -1 (* x x)) (+ (cos x) -1))>
#<alt (/ -1 (* x x))>
#<alt (+ (cos x) -1)>
#<alt (cos x)>
#<alt (/ x (/ 1 x))>
#<alt (/ (- 1 (cos x)) (/ x (/ 1 x)))>
#<alt (- 1 (cos x))>
#<alt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 (* x x)) (- 0 (cos x))))>
#<alt (* (/ 1 (* x x)) (- 0 (cos x)))>
#<alt (/ 1 x)>
#<alt (/ 1 (* x x))>
#<alt (* (/ (sin x) (* x x)) (tan (/ x 2)))>

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

Calls

48 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(* (/ (sin x) (* x x)) (tan (/ x 2)))
2.0ms	x	@	inf	(+ (* (/ 1 x) (/ 1 x)) (* (/ 1 (* x x)) (- 0 (cos x))))
1.0ms	x	@	-inf	(/ (sin x) (* x x))
1.0ms	x	@	inf	(* (/ (sin x) (* x x)) (tan (/ x 2)))
0.0ms	x	@	inf	(tan (/ x 2))

rewrite628.0ms (5.3%)

Memory

11.7MiB live, 990.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 896×	`accelerator-lowering-fma.f32`
4 896×	`accelerator-lowering-fma.f64`
4 876×	`/-lowering-/.f32`
4 876×	`/-lowering-/.f64`
4 720×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	93
1	152	80
2	1421	80
0	8520	80

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 2 269

Calls

Call 1

Inputs
(/ x 2)
(/ (sin x) (* x x))
(sin x)
(tan (/ x 2))
(* (/ -1 (* x x)) (+ (cos x) -1))
(/ -1 (* x x))
(+ (cos x) -1)
(cos x)
(/ x (/ 1 x))
(/ (- 1 (cos x)) (/ x (/ 1 x)))
(- 1 (cos x))
(+ (* (/ 1 x) (/ 1 x)) (* (/ 1 (* x x)) (- 0 (cos x))))
(* (/ 1 (* x x)) (- 0 (cos x)))
(/ 1 x)
(/ 1 (* x x))
(* (/ (sin x) (* x x)) (tan (/ x 2)))

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

simplify442.0ms (3.7%)

Memory

-4.5MiB live, 773.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 540×	`accelerator-lowering-fma.f32`
14 540×	`accelerator-lowering-fma.f64`
4 356×	`-lowering-.f32`
4 356×	`-lowering-.f64`
3 044×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	1354
1	297	1330
2	776	1316
3	2388	1312
4	4669	1312
5	7261	1312
0	8069	1249

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* 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 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))) x)
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 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
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(- (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 (* -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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 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))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))

Outputs
(* 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 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(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)
(* 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 (*.f64 x 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 (.f64 x 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
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 x (.f64 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))))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.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 x (.f64 x #s(literal 1/24 binary64)) #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)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x 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 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x 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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(+.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x #s(literal -1/24 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(+.f64 (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)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (*.f64 x x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))

eval380.0ms (3.2%)

Memory: 44.0MiB live, 757.3MiB allocated
Compiler: Compiled 63 038 to 3 141 computations (95% saved)

prune281.0ms (2.4%)

Memory

-4.3MiB live, 453.1MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	2 573	22	2 595
Fresh	12	4	16
Picked	3	2	5
Done	0	1	1
Total	2 588	29	2 617

Accuracy

100.0%

Counts

2 617 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.4%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	53.9%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) x))
▶	30.4%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	48.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
	48.5%	(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))
▶	47.9%	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
	53.7%	(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	18.1%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
	53.8%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
	14.2%	(/.f64 (fma.f64 x x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	54.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	54.4%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
	18.1%	(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (.f64 x x)))
	45.0%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
	53.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
✓	53.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	29.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
	54.5%	(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x)
	26.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
	53.8%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
▶	53.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	53.8%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
▶	99.8%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
	78.8%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	53.8%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
	25.9%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
	77.5%	(.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	78.7%	(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
✓	49.1%	#s(literal 1/2 binary64)

Compiler

Compiled 708 to 427 computations (39.7% saved)

simplify254.0ms (2.1%)

Memory

16.5MiB live, 393.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x)
✓	cost-diff	768	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
✓	cost-diff	1088	(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) (*.f64 x x) x)
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(/.f64 (cos.f64 x) (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	1088	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	2880	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (sin.f64 x) x)
✓	cost-diff	0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)
✓	cost-diff	256	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))

Rules

4 630×	`accelerator-lowering-fma.f32`
4 630×	`accelerator-lowering-fma.f64`
2 968×	`-lowering-.f32`
2 968×	`-lowering-.f64`
2 580×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	155
1	68	151
2	117	151
3	204	147
4	420	138
5	867	118
6	2154	118
7	4176	118
8	7588	118
0	8216	117

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (tan (* x 1/2)) x) (/ (sin x) x))
(/ (tan (* x 1/2)) x)
(tan (* x 1/2))
(* x 1/2)
x
1/2
(/ (sin x) x)
(sin x)
(+ (* (* x x) -1/24) 1/2)
(* x x)
x
-1/24
1/2
(+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x x)))
(/ 1 x)
1
x
(/ -1 (* x x))
-1
(* x x)
(- (/ 1 (* x x)) (/ (cos x) (* x x)))
(/ 1 (* x x))
1
(* x x)
x
(/ (cos x) (* x x))
(cos x)
(/ (+ (* (/ (- 0 (cos x)) x) (* x x)) x) (* x (* x x)))
(+ (* (/ (- 0 (cos x)) x) (* x x)) x)
(/ (- 0 (cos x)) x)
(- 0 (cos x))
0
(cos x)
x
(* x x)
(* x (* x x))

Outputs
(* (/ (tan (* x 1/2)) x) (/ (sin x) x))
(fma.f64 (tan.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) (/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(/ (tan (* x 1/2)) x)
(/.f64 (tan.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) x)
(tan (* x 1/2))
(tan.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
x
1/2
#s(literal 1/2 binary64)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(+ (* (* x x) -1/24) 1/2)
(fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
-1/24
#s(literal -1/24 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x x)))
#s(literal 0 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ -1 (* x x))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(- (/ 1 (* x x)) (/ (cos x) (* x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64)))
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(/ (cos x) (* x x))
(/.f64 (cos.f64 x) (fma.f64 x x #s(literal 0 binary64)))
(cos x)
(cos.f64 x)
(/ (+ (* (/ (- 0 (cos x)) x) (* x x)) x) (* x (* x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* (/ (- 0 (cos x)) x) (* x x)) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(/ (- 0 (cos x)) x)
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))
(- 0 (cos x))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
0
#s(literal 0 binary64)
(cos x)
(cos.f64 x)
x
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(* x (* x x))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))

localize265.0ms (2.2%)

Memory

-14.4MiB live, 461.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x)
✓	accuracy	63.3%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
✓	accuracy	28.9%	(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) (*.f64 x x) x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	99.8%	(/.f64 (cos.f64 x) (*.f64 x x))
✓	accuracy	54.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	accuracy	30.5%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.9%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
✓	accuracy	99.8%	(/.f64 (sin.f64 x) x)
✓	accuracy	99.8%	(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)

Samples

103.0ms	127×	2	valid
32.0ms	73×	0	valid
26.0ms	42×	1	valid
16.0ms	14×	3	valid

Compiler

Compiled 152 to 31 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-cos: 29.0ms (21.4% of total)

ival-mult: 27.0ms (20% of total)

ival-div: 26.0ms (19.2% of total)

ival-sub: 13.0ms (9.6% of total)

adjust: 12.0ms (8.9% of total)

ival-add: 9.0ms (6.7% of total)

ival-tan: 7.0ms (5.2% of total)

const: 5.0ms (3.7% of total)

ival-sin: 5.0ms (3.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series12.0ms (0.1%)

Memory

-5.3MiB live, 32.7MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (* (/ (tan (* x 1/2)) x) (/ (sin x) x))>
#<alt (/ (tan (* x 1/2)) x)>
#<alt (tan (* x 1/2))>
#<alt (/ (sin x) x)>
#<alt (+ (* (* x x) -1/24) 1/2)>
#<alt (* x x)>
#<alt (+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x x)))>
#<alt (/ 1 x)>
#<alt (/ -1 (* x x))>
#<alt (- (/ 1 (* x x)) (/ (cos x) (* x x)))>
#<alt (/ 1 (* x x))>
#<alt (/ (cos x) (* x x))>
#<alt (cos x)>
#<alt (+ (* (/ (- 0 (cos x)) x) (* x x)) x)>
#<alt (/ (+ (* (/ (- 0 (cos x)) x) (* x x)) x) (* x (* x x)))>
#<alt (/ (- 0 (cos x)) x)>
#<alt (- 0 (cos x))>
#<alt (sin x)>
#<alt (* x (* x x))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<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>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<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) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<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 (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* -1 (* x (- (cos x) 1)))>
#<alt (* -1 (* x (- (cos x) 1)))>
#<alt (* -1 (* x (- (cos x) 1)))>
#<alt (* -1 (* x (- (cos x) 1)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (/ -1 x)>
#<alt (/ (- (* 1/2 (pow x 2)) 1) x)>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt -1>
#<alt (- (* 1/2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)>
#<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 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)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

57 calls:

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

rewrite681.0ms (5.7%)

Memory

-22.4MiB live, 834.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 904×	`accelerator-lowering-fma.f32`
5 904×	`accelerator-lowering-fma.f64`
5 318×	`/-lowering-/.f32`
5 318×	`/-lowering-/.f64`
3 226×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	114
1	186	105
2	2016	97
0	8454	94

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 908

Calls

Call 1

Inputs
(* (/ (tan (* x 1/2)) x) (/ (sin x) x))
(/ (tan (* x 1/2)) x)
(tan (* x 1/2))
(/ (sin x) x)
(+ (* (* x x) -1/24) 1/2)
(* x x)
(+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x x)))
(/ 1 x)
(/ -1 (* x x))
(- (/ 1 (* x x)) (/ (cos x) (* x x)))
(/ 1 (* x x))
(/ (cos x) (* x x))
(cos x)
(+ (* (/ (- 0 (cos x)) x) (* x x)) x)
(/ (+ (* (/ (- 0 (cos x)) x) (* x x)) x) (* x (* x x)))
(/ (- 0 (cos x)) x)
(- 0 (cos x))
(sin x)
(* x (* x x))

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

simplify601.0ms (5%)

Memory

21.3MiB live, 1 042.1MiB allocated

Algorithm

1×	egg-herbie

Rules

18 894×	`accelerator-lowering-fma.f32`
18 894×	`accelerator-lowering-fma.f64`
4 982×	`-lowering-.f32`
4 982×	`-lowering-.f64`
3 654×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	1488
1	325	1482
2	828	1482
3	2421	1476
4	5554	1476
0	8953	1395

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(* 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
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
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) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
0
0
0
0
0
0
0
0
0
0
0
0
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
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)
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* -1 (* x (- (cos x) 1)))
(* -1 (* x (- (cos x) 1)))
(* -1 (* x (- (cos x) 1)))
(* -1 (* x (- (cos x) 1)))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ -1 x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (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)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
1/2
#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) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (.f64 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))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))) (.f64 (*.f64 x x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))) (.f64 (*.f64 x x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))) (.f64 (*.f64 x x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))) (.f64 (*.f64 x x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))) (.f64 (*.f64 x x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))) (.f64 (*.f64 x x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))) (.f64 (*.f64 x x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))) (.f64 (*.f64 x x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(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))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x 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)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (*.f64 x (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (*.f64 x (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (*.f64 x (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (*.f64 x (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (*.f64 x (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (*.f64 x (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (*.f64 x (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (*.f64 x (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 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 x (.f64 x (fma.f64 (.f64 x 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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
1/2
#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) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(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) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
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) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (.f64 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)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/.f64 (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)) (.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x 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 x (.f64 x #s(literal 1/24 binary64)) #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)
(* 1/2 (pow x 3))
(.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (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)) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 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))))
(* x (+ 1 (* -1 (cos x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(* x (+ 1 (* -1 (cos x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(* x (+ 1 (* -1 (cos x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(* x (+ 1 (* -1 (cos x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(* -1 (* x (- (cos x) 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(* -1 (* x (- (cos x) 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(* -1 (* x (- (cos x) 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(* -1 (* x (- (cos x) 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 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 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (.f64 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 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)
(fma.f64 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)) (/.f64 #s(literal -1 binary64) x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow x 2)) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(fma.f64 (.f64 x x) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(fma.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)) #s(literal -1 binary64))
(* -1 (cos x))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
(* -1 (cos x))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
(* -1 (cos x))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
(* -1 (cos x))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
(* -1 (cos x))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
(* -1 (cos x))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
(* -1 (cos x))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
(* -1 (cos x))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(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)
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval203.0ms (1.7%)

Memory: -14.7MiB live, 362.3MiB allocated
Compiler: Compiled 26 549 to 2 911 computations (89% saved)

prune265.0ms (2.2%)

Memory

-3.2MiB live, 394.1MiB allocated

Pruning

48 alts after pruning (41 fresh and 7 done)

	Pruned	Kept	Total
New	1 363	24	1 387
Fresh	4	17	21
Picked	1	4	5
Done	0	3	3
Total	1 368	48	1 416

Accuracy

100.0%

Counts

1 416 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.3%	(fma.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
▶	54.4%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	30.0%	(fma.f64 (/.f64 x (.f64 x (.f64 x x))) (/.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	30.4%	(fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	46.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
	30.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	53.9%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) x))
✓	30.4%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
▶	31.1%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	48.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
	48.5%	(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))
✓	47.9%	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
	53.8%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
	18.1%	(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
	3.2%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
	30.3%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
	2.6%	(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x x)))
	2.3%	(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
	2.6%	(/.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
	14.2%	(/.f64 (fma.f64 x x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	2.7%	(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))))
	3.0%	(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 x (.f64 x x)))
	54.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	54.4%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
	45.0%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
	53.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
✓	53.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	30.3%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
	54.5%	(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x)
	26.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
	2.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
	2.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x))))
	45.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) #s(literal 1 binary64))))
	53.8%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	53.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	53.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x)))
	45.0%	(.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
	53.8%	(.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) x) (/.f64 x (.f64 x x)))
	53.8%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	99.8%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
▶	78.8%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	53.8%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
	25.9%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
	77.5%	(.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	78.7%	(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
▶	50.3%	(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))
✓	49.1%	#s(literal 1/2 binary64)
▶	30.6%	#s(literal 0 binary64)

Compiler

Compiled 1 287 to 726 computations (43.6% saved)

simplify157.0ms (1.3%)

Memory

24.5MiB live, 102.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(/.f64 (cos.f64 x) x)
✓	cost-diff	1600	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	-64	(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(/.f64 (sin.f64 x) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	2880	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	-64	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(/.f64 (sin.f64 x) (*.f64 x x))

Rules

952×	`accelerator-lowering-fma.f32`
952×	`accelerator-lowering-fma.f64`
816×	`-lowering-.f32`
816×	`-lowering-.f64`
588×	`times-frac`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	22	98
1	44	98
2	72	97
3	129	97
4	205	95
5	246	93
6	321	92
7	431	92
8	547	92
9	655	92
10	869	92
11	1151	92
12	1585	92
13	2134	92
14	2405	92
15	2640	92
16	2741	92
17	2765	92
18	2765	92
19	2813	92
20	3013	92
21	3049	92
22	3063	92
23	3065	92
24	3065	92
25	3065	92
26	3065	92
0	3065	92

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ (sin x) (* x x)) (tan (* x 1/2)))
(/ (sin x) (* x x))
(sin x)
x
(* x x)
(tan (* x 1/2))
(* x 1/2)
1/2
0
(+ (* (/ 1 x) (/ -1 x)) (/ 1 (* x x)))
(/ 1 x)
1
x
(/ -1 x)
-1
(/ 1 (* x x))
(* x x)
(* 1/2 (/ (sin x) x))
1/2
(/ (sin x) x)
(sin x)
x
(+ (* (/ (cos x) x) (/ -1 x)) (/ 1 (* x x)))
(/ (cos x) x)
(cos x)
x
(/ -1 x)
-1
(/ 1 (* x x))
1
(* x x)

Outputs
(* (/ (sin x) (* x x)) (tan (* x 1/2)))
(fma.f64 (/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64))) (tan.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(/ (sin x) (* x x))
(/.f64 (sin.f64 x) (fma.f64 x x #s(literal 0 binary64)))
(sin x)
(sin.f64 x)
x
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(tan (* x 1/2))
(tan.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
0
#s(literal 0 binary64)
(+ (* (/ 1 x) (/ -1 x)) (/ 1 (* x x)))
#s(literal 0 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(* 1/2 (/ (sin x) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
x
(+ (* (/ (cos x) x) (/ -1 x)) (/ 1 (* x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 x x #s(literal 0 binary64)))
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(cos x)
(cos.f64 x)
x
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* x x)
(fma.f64 x x #s(literal 0 binary64))

localize195.0ms (1.6%)

Memory

-26.8MiB live, 304.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(/.f64 (cos.f64 x) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	54.4%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))
✓	accuracy	99.8%	(/.f64 (sin.f64 x) x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	30.5%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.8%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	accuracy	79.6%	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

95.0ms	141×	2	valid
29.0ms	73×	0	valid
17.0ms	42×	1	valid

Compiler

Compiled 110 to 24 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-cos: 38.0ms (36.3% of total)

ival-div: 24.0ms (22.9% of total)

ival-mult: 17.0ms (16.2% of total)

adjust: 7.0ms (6.7% of total)

ival-tan: 6.0ms (5.7% of total)

ival-sin: 6.0ms (5.7% of total)

ival-add: 5.0ms (4.8% of total)

exact: 1.0ms (1% of total)

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

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

series6.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (/ (sin x) (* x x))>
#<alt (sin x)>
#<alt (tan (* x 1/2))>
#<alt (* (/ (sin x) (* x x)) (tan (* x 1/2)))>
#<alt (+ (* (/ 1 x) (/ -1 x)) (/ 1 (* x x)))>
#<alt (/ 1 x)>
#<alt (/ -1 x)>
#<alt (/ 1 (* x x))>
#<alt (/ (sin x) x)>
#<alt (* 1/2 (/ (sin x) x))>
#<alt (+ (* (/ (cos x) x) (/ -1 x)) (/ 1 (* x x)))>
#<alt (/ (cos x) x)>
#<alt (cos x)>
#<alt (* x x)>

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/6 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<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)>
#<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>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/12 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12)))>
#<alt (* 1/2 (/ (sin x) x))>
#<alt (* 1/2 (/ (sin x) x))>
#<alt (* 1/2 (/ (sin x) x))>
#<alt (* 1/2 (/ (sin x) x))>
#<alt (* 1/2 (/ (sin x) x))>
#<alt (* 1/2 (/ (sin x) x))>
#<alt (* 1/2 (/ (sin x) x))>
#<alt (* 1/2 (/ (sin x) x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) 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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* 1/2 (/ (sin x) x))
0.0ms	x	@	inf	(* 1/2 (/ (sin x) x))
0.0ms	x	@	-inf	(/ (cos x) x)
0.0ms	x	@	0	(* 1/2 (/ (sin x) x))
0.0ms	x	@	0	(/ -1 x)

rewrite68.0ms (0.6%)

Memory

-7.5MiB live, 111.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

598×	`/-lowering-/.f32`
598×	`/-lowering-/.f64`
536×	`-lowering-.f32`
536×	`-lowering-.f64`
472×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	78
1	108	71
0	1156	69

Stop Event

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

Counts

14 → 209

Calls

Call 1

Inputs
(/ (sin x) (* x x))
(sin x)
(tan (* x 1/2))
(* (/ (sin x) (* x x)) (tan (* x 1/2)))
(+ (* (/ 1 x) (/ -1 x)) (/ 1 (* x x)))
(/ 1 x)
(/ -1 x)
(/ 1 (* x x))
(/ (sin x) x)
(* 1/2 (/ (sin x) x))
(+ (* (/ (cos x) x) (/ -1 x)) (/ 1 (* x x)))
(/ (cos x) x)
(cos x)
(* x x)

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

simplify455.0ms (3.8%)

Memory

25.6MiB live, 804.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 494×	`accelerator-lowering-fma.f32`
13 494×	`accelerator-lowering-fma.f64`
3 788×	`-lowering-.f32`
3 788×	`-lowering-.f64`
2 796×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1034
1	259	1026
2	625	1020
3	1815	1020
4	3087	1020
5	4181	1020
6	4715	1020
7	5590	1020
8	7300	1020
0	8392	966

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(/ 1 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))) x)
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 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
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
0
0
0
0
0
0
0
0
0
0
0
0
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
1/2
(+ 1/2 (* -1/12 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12)))
(* 1/2 (/ (sin x) x))
(* 1/2 (/ (sin x) x))
(* 1/2 (/ (sin x) x))
(* 1/2 (/ (sin x) x))
(* 1/2 (/ (sin x) x))
(* 1/2 (/ (sin x) x))
(* 1/2 (/ (sin x) x))
(* 1/2 (/ (sin x) x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) 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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 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 x (.f64 x (fma.f64 (.f64 x 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 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/12 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/10080 binary64)) #s(literal 1/240 binary64))) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(* 1/2 (/ (sin x) x))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (sin x) x))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (sin x) x))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (sin x) x))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (sin x) x))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (sin x) x))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (sin x) x))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (sin x) x))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (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)) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x 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 x (.f64 x #s(literal 1/24 binary64)) #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)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval59.0ms (0.5%)

Memory: -34.9MiB live, 133.2MiB allocated
Compiler: Compiled 6 762 to 635 computations (90.6% saved)

prune91.0ms (0.8%)

Memory

34.2MiB live, 155.8MiB allocated

Pruning

49 alts after pruning (37 fresh and 12 done)

	Pruned	Kept	Total
New	477	5	482
Fresh	4	32	36
Picked	0	5	5
Done	0	7	7
Total	481	49	530

Accuracy

100.0%

Counts

530 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.6%	(fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	2.3%	(fma.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
✓	54.4%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	30.0%	(fma.f64 (/.f64 x (.f64 x (.f64 x x))) (/.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	30.4%	(fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	46.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
	30.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	53.9%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) x))
✓	30.4%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	31.1%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
✓	31.1%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	48.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
	48.5%	(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))
✓	47.9%	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
	53.8%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
	18.1%	(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
	31.2%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
	3.2%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
	30.3%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
	2.3%	(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
	2.6%	(/.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
	14.2%	(/.f64 (fma.f64 x x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	3.0%	(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) x))
	54.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	54.4%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
	45.0%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
	53.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
✓	53.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	2.2%	(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x x) x))
	30.3%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
	54.5%	(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x)
	26.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
	2.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x))))
	45.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) #s(literal 1 binary64))))
	53.8%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	53.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	53.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x)))
	45.0%	(.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
	53.8%	(.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) x) (/.f64 x (.f64 x x)))
	53.8%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	99.8%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
✓	78.8%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
✓	53.8%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
	25.9%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
	77.5%	(.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	78.7%	(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
✓	50.3%	(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))
✓	49.1%	#s(literal 1/2 binary64)
✓	30.6%	#s(literal 0 binary64)

Compiler

Compiled 1 674 to 596 computations (64.4% saved)

regimes58.0ms (0.5%)

Memory

2.6MiB live, 77.4MiB allocated

Counts

73 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.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))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))))
(fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 x (.f64 x (.f64 x x))) (/.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x)))
(.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) x) (/.f64 x (.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 x x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (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))) (*.f64 x x))
(/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (.f64 (.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))

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

Calls

2 calls:

32.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
21.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes43.0ms (0.4%)

Memory

-13.3MiB live, 64.8MiB allocated

Counts

68 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.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))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))))
(fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 x (.f64 x (.f64 x x))) (/.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x)))
(.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) x) (/.f64 x (.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 x x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))

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

Calls

2 calls:

21.0ms	x
19.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.8%	2	`x`
99.2%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes23.0ms (0.2%)

Memory

11.8MiB live, 47.1MiB allocated

Counts

63 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.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))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))))
(fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 x (.f64 x (.f64 x x))) (/.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x)))
(.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) x) (/.f64 x (.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 x x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))

Outputs

(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))

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes23.0ms (0.2%)

Memory

-22.8MiB live, 60.4MiB allocated

Counts

62 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.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))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))))
(fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 x (.f64 x (.f64 x x))) (/.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x)))
(.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) x) (/.f64 x (.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 x x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x)) x))

Outputs

(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Memory

-2.3MiB live, 36.4MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.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))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))))
(fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 x (.f64 x (.f64 x x))) (/.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))

Outputs

(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes20.0ms (0.2%)

Memory

21.4MiB live, 59.5MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.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))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))))
(fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 x (.f64 x (.f64 x x))) (/.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))

Outputs

(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))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.6%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
77.0%	2	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes8.0ms (0.1%)

Memory

-10.7MiB live, 28.7MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.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))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))

Outputs

(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))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
76.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.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))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x) x) (.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x (/.f64 #s(literal -1 binary64) (*.f64 x x)))

Outputs

(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))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
76.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Memory

-55.4MiB live, 14.9MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.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))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))

Outputs
(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))
#s(literal 0 binary64)

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
76.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))

Outputs
#s(literal 1/2 binary64)
#s(literal 0 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
76.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

9.9MiB live, 9.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
30.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
30.6%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch3.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	5.918774680746811e-19	2.967018125862631e-16

Samples

1.0ms

16×

valid

Compiler

Compiled 28 to 22 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

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

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

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

bsearch3.0ms (0%)

Memory

-33.8MiB live, 5.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	0.0008165428543676633	0.0279325537062541

Samples

1.0ms

16×

valid

Compiler

Compiled 38 to 28 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0279325537062541	24.6960235531444

Samples

6.0ms

128×

valid

Compiler

Compiled 236 to 146 computations (38.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 1.0ms (27.6% of total)

ival-div: 1.0ms (27.6% of total)

ival-cos: 1.0ms (27.6% of total)

ival-mult: 1.0ms (27.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch36.0ms (0.3%)

Memory

-23.9MiB live, 15.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0279325537062541	24.6960235531444

Samples

6.0ms

128×

valid

Compiler

Compiled 236 to 146 computations (38.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (28.6% of total)

ival-div: 1.0ms (28.6% of total)

ival-cos: 1.0ms (28.6% of total)

ival-mult: 1.0ms (28.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	162890.05457823537	42714345.834992036

Samples

9.0ms

128×

valid

Compiler

Compiled 244 to 162 computations (33.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cos: 4.0ms (64.2% of total)

ival-sub: 1.0ms (16% of total)

ival-div: 1.0ms (16% of total)

ival-mult: 1.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	14892020428406.232	11091270059984298.0

Samples

9.0ms

128×

valid

Compiler

Compiled 228 to 154 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cos: 4.0ms (62.4% of total)

ival-sub: 1.0ms (15.6% of total)

ival-div: 1.0ms (15.6% of total)

ival-mult: 1.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.2%)

Memory

-16.0MiB live, 22.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	15353973547.440134	14892020428406.232

Samples

18.0ms

128×

valid

Compiler

Compiled 220 to 154 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-cos: 13.0ms (86.4% of total)

ival-sub: 1.0ms (6.6% of total)

ival-div: 1.0ms (6.6% of total)

ival-mult: 1.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Memory

-11.6MiB live, 27.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.1257840884149505e+38	1.0739344518415562e+51

Samples

12.0ms

160×

valid

Compiler

Compiled 172 to 130 computations (24.4% saved)

Precisions

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

ival-cos: 5.0ms (61.5% of total)

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

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

ival-mult: 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)

bsearch16.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.626330774915166e+75	1.39832796568667e+82

Samples

10.0ms

144×

valid

Compiler

Compiled 66 to 64 computations (3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 5.0ms (68.7% of total)

ival-sub: 1.0ms (13.7% of total)

ival-div: 1.0ms (13.7% of total)

ival-mult: 1.0ms (13.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Memory

-17.8MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	214
1	75	214
2	78	214
3	80	214
4	81	214

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) #s(literal 1/2 binary64) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 1152921504606847/1152921504606846976 binary64)) (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)) (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x))))
(if (<=.f64 x #s(literal 3422735716801577/36028797018963968 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3422735716801577/36028797018963968 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 23000000 binary64)) (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)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x)))
(if (<=.f64 x #s(literal 35000000000000 binary64)) (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)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 470000000000 binary64)) (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)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x)))
(if (<=.f64 x #s(literal 849999999999999971420150533636998823936 binary64)) (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)) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 102000000000000004157358500878761787877123097423774592786761639742845011099648 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) #s(literal 1/2 binary64) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) #s(literal 1/2 binary64) (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))))
(if (<=.f64 x #s(literal 1152921504606847/1152921504606846976 binary64)) (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)) (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x))))
(if (<=.f64 x #s(literal 3422735716801577/36028797018963968 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3422735716801577/36028797018963968 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 23000000 binary64)) (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)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x)))
(if (<=.f64 x #s(literal 35000000000000 binary64)) (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)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 470000000000 binary64)) (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)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -1 binary64) x))) (.f64 x x)))
(if (<=.f64 x #s(literal 849999999999999971420150533636998823936 binary64)) (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)) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 102000000000000004157358500878761787877123097423774592786761639742845011099648 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.7s (14.1%)

Memory

28.5MiB live, 1 233.2MiB allocated

Rules

18 894×	`accelerator-lowering-fma.f32`
18 894×	`accelerator-lowering-fma.f64`
16 752×	`accelerator-lowering-fma.f32`
16 752×	`accelerator-lowering-fma.f64`
14 540×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	78
1	108	71
0	1156	69
0	29	114
1	186	105
2	2016	97
0	8454	94
0	42	284
1	105	284
2	258	284
3	609	284
4	1279	284
5	2001	284
6	2304	284
7	3158	284
8	4639	284
9	6288	284
10	7157	284
11	7373	284
12	7391	284
13	7393	284
14	7798	284
0	8007	266
0	123	1488
1	325	1482
2	828	1482
3	2421	1476
4	5554	1476
0	8953	1395
0	6	17
1	36	17
2	264	17
3	2800	17
0	9643	17
0	24	93
1	152	80
2	1421	80
0	8520	80
0	115	1354
1	297	1330
2	776	1316
3	2388	1312
4	4669	1312
5	7261	1312
0	8069	1249

Stop Event

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

Compiler

Compiled 639 to 321 computations (49.8% saved)

preprocess64.0ms (0.5%)

Memory: 19.2MiB live, 174.7MiB allocated
Compiler: Compiled 482 to 162 computations (66.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample3.0s (25.5%)

preprocess60.0ms (0.5%)

explain164.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify60.0ms (0.5%)

localize54.0ms (0.5%)

series3.0ms (0%)

rewrite408.0ms (3.4%)

simplify533.0ms (4.5%)

eval78.0ms (0.7%)

prune100.0ms (0.8%)

simplify101.0ms (0.8%)

localize146.0ms (1.2%)

series16.0ms (0.1%)

rewrite628.0ms (5.3%)

simplify442.0ms (3.7%)

eval380.0ms (3.2%)

prune281.0ms (2.4%)

simplify254.0ms (2.1%)

localize265.0ms (2.2%)

series12.0ms (0.1%)

rewrite681.0ms (5.7%)

simplify601.0ms (5%)

eval203.0ms (1.7%)

prune265.0ms (2.2%)

simplify157.0ms (1.3%)

localize195.0ms (1.6%)

series6.0ms (0.1%)

rewrite68.0ms (0.6%)

simplify455.0ms (3.8%)

eval59.0ms (0.5%)

prune91.0ms (0.8%)

regimes58.0ms (0.5%)

regimes43.0ms (0.4%)

regimes23.0ms (0.2%)

regimes23.0ms (0.2%)

regimes12.0ms (0.1%)

regimes20.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

bsearch12.0ms (0.1%)

bsearch36.0ms (0.3%)

bsearch15.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch23.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch16.0ms (0.1%)

simplify12.0ms (0.1%)

soundness1.7s (14.1%)

preprocess64.0ms (0.5%)

end0.0ms (0%)

Profiling