Metrics for cos2 (problem 3.4.1)

analyze1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample1.9s (18.5%)

Memory

39.2MiB live, 2 110.1MiB allocated

Samples

817.0ms	2 201×	2	valid
390.0ms	4 278×	0	valid
227.0ms	1 238×	1	valid
202.0ms	539×	3	valid

Precisions

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

ival-cos: 1.0s (70.9% of total)

adjust: 120.0ms (8.4% of total)

ival-div: 117.0ms (8.2% of total)

ival-sub: 89.0ms (6.2% of total)

ival-mult: 77.0ms (5.4% of total)

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

exact: 5.0ms (0.3% of total)

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

Bogosity

preprocess66.0ms (0.6%)

Memory

18.3MiB live, 93.1MiB allocated

Algorithm

1×	egg-herbie

Rules

408×	`lower-fma.f64`
408×	`lower-fma.f32`
324×	`times-frac`
284×	`times-frac`
272×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	32	17
2	102	16
3	299	16
4	757	16
5	1185	16
6	1294	16
7	1310	16
0	6	8
0	10	8
1	19	8
2	30	8
3	46	8
4	82	8
5	131	8
6	188	8
7	323	8
8	621	8
9	1027	8
10	1138	8
0	1138	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs x)

explain285.0ms (2.7%)

Memory

3.0MiB live, 356.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	177	(8.906953736025111e+126)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
256	-	204	(8.906953736025111e+126)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
256	-	256	(8.906953736025111e+126)	`(*.f64 x x)`
140	-	140	(8.906953736025111e+126)	`(cos.f64 x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	79	3
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	49	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	49
↳	`(*.f64 x x)`	underflow	49
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	3	0
↳	`(*.f64 x x)`	overflow	60

Confusion

	Predicted +	Predicted -
+	127	1
-	4	124

Precision

0.9694656488549618

Recall

0.9921875

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	1	0
-	4	2	122

Precision?

0.9552238805970149

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms	36×	3	valid
39.0ms	122×	2	valid
29.0ms	276×	0	valid
12.0ms	78×	1	valid

Compiler

Compiled 80 to 34 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-cos: 56.0ms (73.6% of total)

ival-div: 6.0ms (7.9% of total)

adjust: 5.0ms (6.6% of total)

ival-sub: 5.0ms (6.6% of total)

ival-mult: 4.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify51.0ms (0.5%)

Memory

-7.6MiB live, 37.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

408×	`lower-fma.f64`
408×	`lower-fma.f32`
284×	`times-frac`
272×	`lower-*.f32`
270×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	19	19
2	30	19
3	46	19
4	82	19
5	131	19
6	188	19
7	323	19
8	621	19
9	1027	19
10	1138	19
0	1138	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (0.5%)

Memory

10.6MiB live, 86.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	53.1%	(cos.f64 x)
✓	accuracy	7.3%	(*.f64 x x)
✓	accuracy	7.0%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	3.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Samples

19.0ms	61×	2	valid
15.0ms	138×	0	valid
6.0ms	18×	3	valid
4.0ms	39×	1	valid

Compiler

Compiled 41 to 14 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-cos: 20.0ms (60.9% of total)

adjust: 6.0ms (18.3% of total)

ival-div: 3.0ms (9.1% of total)

ival-mult: 2.0ms (6.1% of total)

ival-sub: 2.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (cos.f64 x)>
#<alt (*.f64 x x)>

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

Calls

12 calls:

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

Compiler

Compiled 79 to 62 computations (21.5% saved)

rewrite350.0ms (3.4%)

Memory

-12.2MiB live, 463.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 736×	`lower-/.f32`
4 734×	`lower-/.f64`
3 980×	`lower-fma.f64`
3 980×	`lower-fma.f32`
3 064×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	40	17
2	268	17
3	2810	17
0	9656	17

Stop Event

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

Counts

4 → 629

Calls

Call 1

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

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

simplify273.0ms (2.6%)

Memory

10.1MiB live, 407.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 320×	`lower-fma.f64`
8 320×	`lower-fma.f32`
2 772×	`lower-*.f64`
2 772×	`lower-*.f32`
2 644×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	280
1	115	280
2	281	280
3	655	276
4	1372	276
5	2201	276
6	3200	276
7	6880	276
0	8306	258

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 44

Calls

Call 1

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

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

eval113.0ms (1.1%)

Memory: -2.2MiB live, 150.5MiB allocated
Compiler: Compiled 15 687 to 1 646 computations (89.5% saved)

prune130.0ms (1.2%)

Memory

5.2MiB live, 203.1MiB allocated

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	648	25	673
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	648	26	674

Accuracy

80.8%

Counts

674 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.0%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
▶	53.9%	(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
▶	54.6%	(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))
	30.5%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	54.5%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	19.1%	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
	44.2%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
	4.0%	(/.f64 (-.f64 #s(literal 1 binary64) (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))
	3.4%	(/.f64 (-.f64 #s(literal 1 binary64) (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))
	4.0%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 x x))
	54.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
	53.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	54.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	5.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
	26.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
	29.4%	(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 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 x x))
	79.8%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
▶	29.8%	(/.f64 (.f64 x (.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 x x))
	29.0%	(/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) (.f64 x x))
	29.1%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 x x))
▶	30.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
	54.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	54.6%	(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
▶	80.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	53.9%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
	79.9%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))

Compiler

Compiled 681 to 400 computations (41.3% saved)

simplify214.0ms (2.1%)

Memory

14.1MiB live, 333.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	1216	(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
✓	cost-diff	512	(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))
✓	cost-diff	0	(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))
✓	cost-diff	0	(.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)))
✓	cost-diff	0	(.f64 x (.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))))
✓	cost-diff	1664	(/.f64 (.f64 x (.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 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(/.f64 (sin.f64 x) (*.f64 x x))
✓	cost-diff	0	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	cost-diff	384	(/.f64 x #s(literal 2 binary64))

Rules

4 786×	`lower-fma.f32`
4 780×	`lower-fma.f64`
3 610×	`lower-*.f32`
3 600×	`lower-*.f64`
2 404×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	171
0	52	175
1	106	167
2	253	159
3	463	159
4	814	157
5	2688	157
6	3979	157
7	4698	157
8	6423	157
0	8302	157

Stop Event

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

Calls

Call 1

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

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

localize167.0ms (1.6%)

Memory

19.0MiB live, 292.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	4.9%	(*.f64 x x)
✓	accuracy	4.1%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	3.6%	(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
✓	accuracy	2.0%	(cos.f64 x)
✓	accuracy	5.7%	(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
✓	accuracy	2.3%	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	accuracy	2.0%	(cos.f64 x)
✓	accuracy	1.6%	(neg.f64 x)
✓	accuracy	13.7%	(*.f64 x #s(literal 1/720 binary64))
✓	accuracy	9.0%	(/.f64 (.f64 x (.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 x x))
✓	accuracy	6.1%	(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))
✓	accuracy	4.9%	(*.f64 x x)
✓	accuracy	4.9%	(*.f64 x x)
✓	accuracy	4.6%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	10.6%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	accuracy	4.9%	(*.f64 x x)
✓	accuracy	4.4%	(sin.f64 x)
✓	accuracy	3.4%	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

63.0ms	117×	1	valid
52.0ms	138×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 355 to 61 computations (82.8% saved)

Precisions

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

ival-cos: 19.0ms (22% of total)

ival-div: 17.0ms (19.7% of total)

ival-mult: 14.0ms (16.2% of total)

const: 12.0ms (13.9% of total)

ival-add: 7.0ms (8.1% of total)

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

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

adjust: 5.0ms (5.8% of total)

exact: 1.0ms (1.2% of total)

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

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

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

series33.0ms (0.3%)

Memory

-14.0MiB live, 62.9MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/.f64 x #s(literal 2 binary64))>
#<alt (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (sin.f64 x) (*.f64 x x))>
#<alt (sin.f64 x)>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (/.f64 (.f64 x (.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 x x))>
#<alt (.f64 x (.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))))>
#<alt (.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)))>
#<alt (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))>
#<alt (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))>
#<alt (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)>
#<alt (+.f64 (cos.f64 x) #s(literal -1 binary64))>
#<alt (cos.f64 x)>
#<alt (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x x))>
#<alt (*.f64 x #s(literal 1/720 binary64))>
#<alt (neg.f64 x)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))>

Outputs
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (/ 1/2 (pow x 4))>
#<alt (/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 4))>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 4))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))>
#<alt (* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))>
#<alt (* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))>
#<alt (* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (* -1 (/ (sin x) x))>
#<alt (* -1 (/ (sin x) x))>
#<alt (* -1 (/ (sin x) x))>
#<alt (* -1 (/ (sin x) 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 (/ 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 (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt x>
#<alt x>
#<alt x>
#<alt 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 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) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (* -1/24 (pow x 9))>
#<alt (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) 1/24))>
#<alt (* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt (* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt (* 1/24 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) 1/24)))>
#<alt (* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9))))))>
#<alt (* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9))))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/720 x) 1/24))))>
#<alt (* x (+ 1/2 (* x (- (* 1/720 x) 1/24))))>
#<alt (* -1/24 (pow x 18))>
#<alt (* (pow x 18) (- (* 1/720 (/ 1 (pow x 6))) 1/24))>
#<alt (* (pow x 18) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt (* (pow x 18) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt (* -1/24 (pow x 18))>
#<alt (* (pow x 18) (- (* 1/720 (/ 1 (pow x 6))) 1/24))>
#<alt (* (pow x 18) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9)))))>
#<alt (* (pow x 18) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* -1/24 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/720 (/ 1 (pow x 6))) 1/24))>
#<alt (* (pow x 10) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt (* (pow x 10) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt (* -1/24 (pow x 11))>
#<alt (* -1 (* (pow x 11) (- 1/24 (* 1/720 (/ 1 (pow x 6))))))>
#<alt (* -1 (* (pow x 11) (+ 1/24 (* -1 (/ (+ 1/720 (* 1/2 (/ 1 (pow x 4)))) (pow x 6))))))>
#<alt (* -1 (* (pow x 11) (+ 1/24 (* -1 (/ (+ 1/720 (* 1/2 (/ 1 (pow x 4)))) (pow x 6))))))>
#<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) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (* -1/24 (pow x 9))>
#<alt (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) 1/24))>
#<alt (* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt (* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt (* 1/24 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) 1/24)))>
#<alt (* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9))))))>
#<alt (* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9))))))>
#<alt (/ 1/2 (pow x 3))>
#<alt (/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 3))>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 3))>
#<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 (* -1/2 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<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 (/ 1/2 x)>
#<alt (/ (+ 1/2 (* -1/24 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) x)>
#<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 (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 (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt 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 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>

Calls

57 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(/ x 2)
3.0ms	x	@	0	(/ (/ (+ (cos x) -1) x) (neg x))
1.0ms	x	@	inf	(* (/ (sin x) (* x x)) (tan (/ x 2)))
1.0ms	x	@	0	(* x (* x (+ (* (* x x) (+ (* x (* x 1/720)) -1/24)) 1/2)))
1.0ms	x	@	-inf	(* x (+ (* (* x x) (+ (* x (* x 1/720)) -1/24)) 1/2))

Compiler

Compiled 525 to 403 computations (23.2% saved)

rewrite337.0ms (3.2%)

Memory

-27.5MiB live, 470.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 590×	`lower-/.f32`
4 574×	`lower-/.f64`
3 854×	`lower-*.f32`
3 844×	`lower-*.f64`
3 482×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	137
0	52	145
1	208	131
2	1483	123
0	8599	123

Stop Event

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

Counts

19 → 943

Calls

Call 1

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

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 -1/2 binary64)))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(/.f64 (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 #s(literal 1 binary64) (tan.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) (neg.f64 (/.f64 (.f64 x x) (.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) (sin.f64 x)) (tan.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) (.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 x x) (sin.f64 x)) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (neg.f64 x)) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (/.f64 (sin.f64 x) x) (sin.f64 (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (.f64 x x) (sin.f64 x))) (.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 x (neg.f64 x))) (.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) x) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x 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 x (neg.f64 x)) (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (/.f64 (sin.f64 x) 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))) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 (sin.f64 x) (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 x x))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 x (neg.f64 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 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (neg.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 (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))) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x (neg.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 (neg.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) (*.f64 x (neg.f64 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))) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) x)
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) 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)
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(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))) (.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x (neg.f64 x))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 x (neg.f64 x) (.f64 (.f64 x (neg.f64 x)) (.f64 (cos.f64 x) #s(literal -1 binary64))))) (neg.f64 (.f64 (.f64 x (neg.f64 x)) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x x (.f64 (.f64 x x) (.f64 (cos.f64 x) #s(literal -1 binary64))))) (neg.f64 (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 x (.f64 x (.f64 (cos.f64 x) #s(literal -1 binary64))))) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (neg.f64 (.f64 (.f64 x x) (.f64 x (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 x x) (.f64 x x))) (neg.f64 (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal -1 binary64)) x x)) (neg.f64 (.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (.f64 x (neg.f64 x))) (.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal -1 binary64)) x x) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal -1 binary64)) x x) (.f64 x (.f64 x x))))
(.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (.f64 x (neg.f64 x))) (*.f64 x x)))))
(.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) (*.f64 x x))))))
(.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))))
(.f64 (fma.f64 x (neg.f64 x) (.f64 (.f64 x (neg.f64 x)) (.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (neg.f64 x)) (*.f64 x x))))
(.f64 (fma.f64 x x (.f64 (.f64 x x) (.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (+.f64 x (.f64 x (.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x (neg.f64 x)))))
(.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 x x) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal -1 binary64)) x x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) (.f64 x (neg.f64 x))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (.f64 x (neg.f64 x))) (*.f64 x x))))))
(.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x (neg.f64 x))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (.f64 x (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (neg.f64 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 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x))) x)
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x 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 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 x #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))))
(neg.f64 x)
(/.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) x)
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (*.f64 x (neg.f64 x))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))

simplify367.0ms (3.5%)

Memory

20.9MiB live, 543.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 868×	`lower-fma.f64`
10 868×	`lower-fma.f32`
4 200×	`lower-*.f64`
4 200×	`lower-*.f32`
2 562×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	1595
1	374	1571
2	902	1569
3	2506	1562
4	4889	1530
5	7074	1530
0	8184	1460

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 215

Calls

Call 1

Inputs
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1/2 (pow x 4))
(/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 4))
(/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 4))
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 4))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* -1 (/ (sin x) x))
(* -1 (/ (sin x) x))
(* -1 (/ (sin x) x))
(* -1 (/ (sin x) x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
x
x
x
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)
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) (- (* 1/720 (pow x 2)) 1/24)))
(* -1/24 (pow x 9))
(* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(* 1/24 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) 1/24)))
(* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9))))))
(* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 x)))
(* x (+ 1/2 (* x (- (* 1/720 x) 1/24))))
(* x (+ 1/2 (* x (- (* 1/720 x) 1/24))))
(* -1/24 (pow x 18))
(* (pow x 18) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(* (pow x 18) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(* (pow x 18) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(* -1/24 (pow x 18))
(* (pow x 18) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(* (pow x 18) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9)))))
(* (pow x 18) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9)))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* -1/24 (pow x 10))
(* (pow x 10) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(* (pow x 10) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(* (pow x 10) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(* -1/24 (pow x 11))
(* -1 (* (pow x 11) (- 1/24 (* 1/720 (/ 1 (pow x 6))))))
(* -1 (* (pow x 11) (+ 1/24 (* -1 (/ (+ 1/720 (* 1/2 (/ 1 (pow x 4)))) (pow x 6))))))
(* -1 (* (pow x 11) (+ 1/24 (* -1 (/ (+ 1/720 (* 1/2 (/ 1 (pow x 4)))) (pow x 6))))))
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) (- (* 1/720 (pow x 2)) 1/24)))
(* -1/24 (pow x 9))
(* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(* 1/24 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) 1/24)))
(* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9))))))
(* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9))))))
(/ 1/2 (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))) (pow x 3))
(* -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)))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(* -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)
(/ 1/2 x)
(/ (+ 1/2 (* -1/24 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) x)
(/ (+ 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 (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))
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 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)
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ 1/2 (pow x 4))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 4))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 4))
(/.f64 (fma.f64 x (.f64 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 x (.f64 x (.f64 x x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 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))
(/ (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 (/ (sin x) x))
(neg.f64 (/.f64 (sin.f64 x) x))
(* -1 (/ (sin x) x))
(neg.f64 (/.f64 (sin.f64 x) x))
(* -1 (/ (sin x) x))
(neg.f64 (/.f64 (sin.f64 x) x))
(* -1 (/ (sin x) x))
(neg.f64 (/.f64 (sin.f64 x) x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(/ 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 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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 x (*.f64 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 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(* -1/24 (pow x 9))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(fma.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64))
(* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(fma.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64))
(* 1/24 (pow x 9))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) 1/24)))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9))))))
(fma.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64))
(* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9))))))
(fma.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 x)))
(*.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/720 x) 1/24))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/720 x) 1/24))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(* -1/24 (pow x 18))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(*.f64 (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(*.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 9 binary64))))) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(*.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 9 binary64))))) (pow.f64 x #s(literal 18 binary64)))
(* -1/24 (pow x 18))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(*.f64 (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 9 binary64))))) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 9 binary64))))) (pow.f64 x #s(literal 18 binary64)))
(* 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) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(* -1/24 (pow x 10))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(*.f64 (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(*.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 9 binary64))))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(*.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 9 binary64))))) (pow.f64 x #s(literal 10 binary64)))
(* -1/24 (pow x 11))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 11 binary64)))
(* -1 (* (pow x 11) (- 1/24 (* 1/720 (/ 1 (pow x 6))))))
(*.f64 (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 11 binary64)))
(* -1 (* (pow x 11) (+ 1/24 (* -1 (/ (+ 1/720 (* 1/2 (/ 1 (pow x 4)))) (pow x 6))))))
(.f64 (pow.f64 x #s(literal 11 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))))
(* -1 (* (pow x 11) (+ 1/24 (* -1 (/ (+ 1/720 (* 1/2 (/ 1 (pow x 4)))) (pow x 6))))))
(.f64 (pow.f64 x #s(literal 11 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 6 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) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(* -1/24 (pow x 9))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(fma.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64))
(* (pow x 9) (- (+ (/ 1/2 (pow x 9)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(fma.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64))
(* 1/24 (pow x 9))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) 1/24)))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9))))))
(fma.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64))
(* -1 (* (pow x 9) (- (* 1/720 (/ 1 (pow x 6))) (+ 1/24 (/ 1/2 (pow x 9))))))
(fma.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64))
(/ 1/2 (pow x 3))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))
(/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)))
(/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 3))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)))
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 3))
(/.f64 (fma.f64 x (.f64 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 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 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/24 (pow x 2)) 1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/40320 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1/2 (pow x 2))
(.f64 (.f64 x 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 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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 (.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)))
(- (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 (*.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 (.f64 x x) (fma.f64 (*.f64 x 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 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* -1/24 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) x)
(/.f64 (fma.f64 x (.f64 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)) 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 (* -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))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 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 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)

eval269.0ms (2.6%)

Memory: -0.7MiB live, 263.2MiB allocated
Compiler: Compiled 28 191 to 2 945 computations (89.6% saved)

prune199.0ms (1.9%)

Memory

8.5MiB live, 422.9MiB allocated

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1 308	21	1 329
Fresh	11	9	20
Picked	3	2	5
Done	0	1	1
Total	1 322	33	1 355

Accuracy

100.0%

Counts

1 355 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.0%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
	54.5%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	54.0%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
	49.2%	(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
	21.6%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (.f64 x x) x) (.f64 x (*.f64 x x)))
	54.3%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
	3.1%	(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
✓	54.6%	(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))
	30.5%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	80.3%	(/.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x) x)
	54.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 x))
	30.9%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
▶	54.6%	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))
	54.5%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
▶	44.2%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
	54.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cos.f64 x) x))) (.f64 x x))
✓	54.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	29.8%	(/.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x))
	54.6%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 x))
	29.4%	(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 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 x x))
	49.6%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/40320 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))
	31.1%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	30.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
	6.6%	(/.f64 #s(literal 1/2 binary64) x)
	54.5%	(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
	54.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
▶	49.6%	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
	54.6%	(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
	30.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
▶	99.6%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)))
	53.9%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
	80.1%	(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
▶	49.6%	#s(literal 1/2 binary64)

Compiler

Compiled 777 to 477 computations (38.6% saved)

simplify338.0ms (3.3%)

Memory

9.4MiB live, 358.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	1088	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(*.f64 x (cos.f64 x))
✓	cost-diff	0	(-.f64 x (*.f64 x (cos.f64 x)))
✓	cost-diff	640	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal 1/720 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64))))))
✓	cost-diff	768	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
✓	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))) (/.f64 (sin.f64 x) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	704	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)))

Rules

4 136×	`lower-fma.f64`
4 136×	`lower-fma.f32`
3 476×	`lower-*.f32`
3 454×	`lower-*.f64`
1 160×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	166
0	54	162
1	98	150
2	195	150
3	419	142
4	743	142
5	1957	142
6	3486	142
7	4830	142
8	6026	142
9	6490	142
10	6801	142
11	7074	142
12	7119	142
13	7403	142
14	7867	142
0	8012	139

Stop Event

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

Calls

Call 1

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

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

localize182.0ms (1.7%)

Memory

-32.4MiB live, 259.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	4.2%	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))
✓	accuracy	2.6%	(cos.f64 x)
✓	accuracy	2.2%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	1.2%	(/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	accuracy	3.5%	(.f64 x (.f64 x x))
✓	accuracy	3.4%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	accuracy	2.6%	(cos.f64 x)
✓	accuracy	2.0%	(-.f64 x (*.f64 x (cos.f64 x)))
✓	accuracy	6.1%	(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64))))))
✓	accuracy	5.9%	(*.f64 x #s(literal 1/720 binary64))
✓	accuracy	4.2%	(.f64 x (.f64 x (*.f64 x #s(literal 1/720 binary64))))
✓	accuracy	2.7%	(.f64 (.f64 x x) #s(literal -1/24 binary64))
✓	accuracy	10.8%	(sin.f64 x)
✓	accuracy	8.4%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))
✓	accuracy	5.8%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	4.7%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)))

Samples

50.0ms	138×	0	valid
38.0ms	61×	2	valid
28.0ms	39×	1	valid
15.0ms	18×	3	valid

Compiler

Compiled 335 to 62 computations (81.5% saved)

Precisions

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

ival-div: 30.0ms (28.5% of total)

ival-cos: 19.0ms (18% of total)

ival-mult: 19.0ms (18% of total)

adjust: 9.0ms (8.5% of total)

const: 8.0ms (7.6% of total)

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

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

ival-sin: 5.0ms (4.7% of total)

ival-sub: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory

14.2MiB live, 52.7MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))>
#<alt (tan.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))) (.f64 (.f64 x x) #s(literal -1/24 binary64)))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64))))))>
#<alt (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/720 binary64)))))>
#<alt (.f64 x (.f64 x (*.f64 x #s(literal 1/720 binary64))))>
#<alt (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))>
#<alt (-.f64 x (*.f64 x (cos.f64 x)))>
#<alt (*.f64 x (cos.f64 x))>
#<alt (cos.f64 x)>
#<alt (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))>
#<alt (+.f64 (cos.f64 x) #s(literal -1 binary64))>
#<alt (sin.f64 x)>
#<alt (.f64 (.f64 x x) #s(literal -1/24 binary64))>
#<alt (*.f64 x #s(literal 1/720 binary64))>
#<alt (.f64 x (.f64 x x))>

Outputs
#<alt (/ 1/2 (pow x 4))>
#<alt (/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 4))>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 4))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))>
#<alt (* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))>
#<alt (* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))>
#<alt (* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 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 (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (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 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 3)))>
#<alt (+ 1/2 (* (pow x 3) (- (* 1/720 (pow x 4)) 1/24)))>
#<alt (+ 1/2 (* (pow x 3) (- (* 1/720 (pow x 4)) 1/24)))>
#<alt (* -1/24 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/720 (/ 1 (pow x 6))) 1/24))>
#<alt (* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt (* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt (* -1/24 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/720 (/ 1 (pow x 6))) 1/24))>
#<alt (* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt (* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/720 (pow x 3)))>
#<alt (+ 1/2 (* 1/720 (pow x 3)))>
#<alt (+ 1/2 (* 1/720 (pow x 3)))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (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 (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (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 x)>
#<alt (/ (+ 1/2 (* -1/24 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) x)>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (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 (cos x)))>
#<alt (* x (- 1 (cos x)))>
#<alt (* x (- 1 (cos x)))>
#<alt (* x (- 1 (cos x)))>
#<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 x>
#<alt (* x (+ 1 (* -1/2 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (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 (/ 1/2 (pow x 3))>
#<alt (/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 3))>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 3))>
#<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 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 (/ -2 x)>
#<alt (/ (- (* -1/6 (pow x 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) x)>
#<alt (/ x (- (cos x) 1))>
#<alt (/ x (- (cos x) 1))>
#<alt (/ x (- (cos x) 1))>
#<alt (/ x (- (cos x) 1))>
#<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 (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 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 (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (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 (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt 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)>

Calls

60 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ (- x (* x (cos x))) (* x (* x x)))
2.0ms	x	@	0	(/ x (+ (cos x) -1))
1.0ms	x	@	-inf	(* (tan (* x 1/2)) (/ (sin x) x))
1.0ms	x	@	inf	(+ (+ 1/2 (* x (* x (* x (* x 1/720))))) (* (* x x) -1/24))
1.0ms	x	@	-inf	(+ (+ 1/2 (* x (* x (* x (* x 1/720))))) (* (* x x) -1/24))

Compiler

Compiled 478 to 363 computations (24.1% saved)

rewrite372.0ms (3.6%)

Memory

-7.1MiB live, 595.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 120×	`lower-fma.f64`
5 120×	`lower-fma.f32`
4 454×	`lower-*.f32`
4 432×	`lower-*.f64`
4 028×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	135
0	54	131
1	187	119
2	1255	111
0	8631	108

Stop Event

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

Counts

20 → 973

Calls

Call 1

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

Outputs
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x)))
(neg.f64 (.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x)))
(neg.f64 (.f64 (/.f64 (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) (neg.f64 x))))
(neg.f64 (.f64 (.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (sin.f64 x)) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (neg.f64 x)) x))
(neg.f64 (/.f64 (.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (neg.f64 (sin.f64 x))) x))
(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (/.f64 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 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))))
(/.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 (neg.f64 x)) (.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (neg.f64 (sin.f64 x)))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x)))))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (cos.f64 x))))))
(.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 (+.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 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))
(sin.f64 x)
(neg.f64 (neg.f64 (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 x #s(literal -1/24 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 x #s(literal -1/24 binary64)))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(.f64 #s(literal -1/24 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/24 binary64)) x)
(/.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 x x))))
(neg.f64 (neg.f64 (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal -1 binary64))
(/.f64 (pow.f64 (neg.f64 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))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(.f64 x (neg.f64 (.f64 x (neg.f64 x))))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (*.f64 x x))))
(.f64 (neg.f64 x) (.f64 x (neg.f64 x)))
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (neg.f64 (.f64 x (neg.f64 x))) x)

simplify423.0ms (4.1%)

Memory

8.5MiB live, 644.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 070×	`lower-fma.f64`
14 070×	`lower-fma.f32`
4 784×	`lower-*.f64`
4 784×	`lower-*.f32`
3 390×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	1636
1	444	1612
2	1081	1588
3	3247	1582
4	4553	1566
5	6854	1564
0	8193	1481

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 230

Calls

Call 1

Inputs
(/ 1/2 (pow x 4))
(/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 4))
(/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 4))
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 4))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 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)
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin 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)))
1/2
(+ 1/2 (* -1/24 (pow x 3)))
(+ 1/2 (* (pow x 3) (- (* 1/720 (pow x 4)) 1/24)))
(+ 1/2 (* (pow x 3) (- (* 1/720 (pow x 4)) 1/24)))
(* -1/24 (pow x 10))
(* (pow x 10) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(* -1/24 (pow x 10))
(* (pow x 10) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
1/2
(+ 1/2 (* 1/720 (pow x 3)))
(+ 1/2 (* 1/720 (pow x 3)))
(+ 1/2 (* 1/720 (pow x 3)))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (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)
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (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 x)
(/ (+ 1/2 (* -1/24 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) x)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (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 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
x
(* 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))
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))
(/ (+ 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))) (pow x 3))
(* -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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -2 x)
(/ (- (* -1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) x)
(/ x (- (cos x) 1))
(/ x (- (cos x) 1))
(/ x (- (cos x) 1))
(/ x (- (cos x) 1))
(* -1 (/ x (- (cos x) 1)))
(* -1 (/ x (- (cos x) 1)))
(* -1 (/ x (- (cos x) 1)))
(* -1 (/ x (- (cos x) 1)))
(* -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)
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)
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (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)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
x
x
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)

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

eval220.0ms (2.1%)

Memory: 13.8MiB live, 346.1MiB allocated
Compiler: Compiled 27 962 to 2 157 computations (92.3% saved)

prune158.0ms (1.5%)

Memory

4.8MiB live, 376.0MiB allocated

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1 208	8	1 216
Fresh	5	20	25
Picked	1	4	5
Done	1	2	3
Total	1 215	34	1 249

Accuracy

100.0%

Counts

1 249 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.0%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
	54.5%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	54.0%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
	45.4%	(fma.f64 (.f64 x (cos.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
▶	49.6%	(fma.f64 (.f64 x x) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (.f64 x x) #s(literal 1/2 binary64)))
	49.2%	(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
	21.6%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (.f64 x x) x) (.f64 x (*.f64 x x)))
▶	54.3%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
	3.1%	(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
▶	54.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	80.3%	(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x) x)
	54.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 x))
	30.9%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
✓	54.6%	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))
	54.5%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	12.4%	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (cos.f64 x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
✓	44.2%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
	54.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 x) x) x)) (.f64 x x))
✓	54.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	29.8%	(/.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x))
	54.6%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 x))
	29.4%	(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 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 x x))
	49.6%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/40320 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))
	31.1%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	30.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
▶	6.6%	(/.f64 #s(literal 1/2 binary64) x)
	54.5%	(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
	54.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	54.6%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
	53.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	30.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
✓	99.6%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)))
	80.1%	(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
✓	49.6%	#s(literal 1/2 binary64)

Compiler

Compiled 821 to 476 computations (42% saved)

simplify224.0ms (2.2%)

Memory

12.4MiB live, 287.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(/.f64 (cos.f64 x) (neg.f64 x))
✓	cost-diff	0	(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
✓	cost-diff	1024	(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64))
✓	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)) x)
✓	cost-diff	384	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	cost-diff	0	(.f64 #s(literal 1/720 binary64) (.f64 x x))
✓	cost-diff	0	(fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (*.f64 x x) #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	640	(fma.f64 (.f64 x x) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (.f64 x x) #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) 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))) (sin.f64 x))
✓	cost-diff	0	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x)
✓	cost-diff	384	(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x) x)

Rules

4 318×	`lower-fma.f32`
4 312×	`lower-fma.f64`
3 884×	`lower-*.f32`
3 876×	`lower-*.f64`
2 510×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	136
0	46	128
1	84	126
2	154	125
3	231	122
4	337	122
5	702	122
6	2423	122
7	4042	122
0	8040	120

Stop Event

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

Calls

Call 1

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

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

localize306.0ms (2.9%)

Memory

-29.6MiB live, 182.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	4.6%	(*.f64 x x)
✓	accuracy	3.6%	(cos.f64 x)
✓	accuracy	3.0%	(/.f64 (cos.f64 x) (neg.f64 x))
✓	accuracy	2.6%	(neg.f64 x)
✓	accuracy	99.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	accuracy	9.1%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	5.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	accuracy	3.6%	(cos.f64 x)
✓	accuracy	51.4%	(.f64 #s(literal 1/720 binary64) (.f64 x x))
✓	accuracy	6.1%	(fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (*.f64 x x) #s(literal 1/2 binary64))
✓	accuracy	4.6%	(*.f64 x x)
✓	accuracy	1.2%	(fma.f64 (.f64 x x) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (.f64 x x) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	6.5%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	6.5%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
✓	accuracy	5.7%	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x)
✓	accuracy	4.7%	(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x) x)

Samples

123.0ms	61×	2	valid
58.0ms	138×	0	valid
16.0ms	17×	3	valid
14.0ms	39×	1	valid
2.0ms	1×	4	valid

Compiler

Compiled 280 to 53 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-div: 39.0ms (30.9% of total)

ival-tan: 24.0ms (19% of total)

ival-cos: 21.0ms (16.6% of total)

ival-mult: 12.0ms (9.5% of total)

adjust: 9.0ms (7.1% of total)

const: 6.0ms (4.7% of total)

ival-add: 5.0ms (4% of total)

ival-sin: 5.0ms (4% of total)

ival-sub: 2.0ms (1.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series86.0ms (0.8%)

Memory

-12.7MiB live, 26.0MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x) x)>
#<alt (/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x)>
#<alt (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x))>
#<alt (tan.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (fma.f64 (.f64 x x) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (.f64 x x) #s(literal 1/2 binary64)))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (*.f64 x x) #s(literal 1/2 binary64))>
#<alt (.f64 #s(literal 1/720 binary64) (.f64 x x))>
#<alt (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (cos.f64 x)>
#<alt (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64))>
#<alt (/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))>
#<alt (/.f64 (cos.f64 x) (neg.f64 x))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (neg.f64 x)>

Outputs
#<alt (/ 1/2 (pow x 4))>
#<alt (/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 4))>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 4))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))>
#<alt (* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))>
#<alt (* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))>
#<alt (* -1 (/ (* (sin x) (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) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 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 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 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>
#<alt (+ 1/2 (* -1/24 (pow x 3)))>
#<alt (+ 1/2 (* (pow x 3) (- (* 1/720 (pow x 4)) 1/24)))>
#<alt (+ 1/2 (* (pow x 3) (- (* 1/720 (pow x 4)) 1/24)))>
#<alt (* -1/24 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/720 (/ 1 (pow x 6))) 1/24))>
#<alt (* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt (* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt (* -1/24 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/720 (/ 1 (pow x 6))) 1/24))>
#<alt (* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt (* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))>
#<alt x>
#<alt x>
#<alt x>
#<alt 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 1/2>
#<alt (+ 1/2 (* 1/720 (pow x 3)))>
#<alt (+ 1/2 (* 1/720 (pow x 3)))>
#<alt (+ 1/2 (* 1/720 (pow x 3)))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (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 (pow x 2))>
#<alt (/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 2))>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 2))>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (* -1 (/ (- 1 (cos x)) x))>
#<alt (* -1 (/ (- 1 (cos x)) x))>
#<alt (* -1 (/ (- 1 (cos x)) x))>
#<alt (* -1 (/ (- 1 (cos x)) x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<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 (* 1/2 (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 (* 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 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (/ 1/2 (pow x 4))>
#<alt (/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 4))>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 4))>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<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 (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt 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)>

Calls

54 calls:

Time	Variable		Point	Expression
70.0ms	x	@	inf	(* x 1/2)
1.0ms	x	@	inf	(+ (* (* x x) -1/24) (+ (* (* 1/720 (* x x)) (* x x)) 1/2))
1.0ms	x	@	-inf	(+ (* (* x x) -1/24) (+ (* (* 1/720 (* x x)) (* x x)) 1/2))
1.0ms	x	@	-inf	(/ (* (tan (* x 1/2)) (sin x)) x)
1.0ms	x	@	inf	(/ (/ (* (tan (* x 1/2)) (sin x)) x) x)

Compiler

Compiled 442 to 347 computations (21.5% saved)

rewrite466.0ms (4.5%)

Memory

39.7MiB live, 669.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 268×	`lower-fma.f32`
6 262×	`lower-fma.f64`
4 002×	`lower-*.f32`
3 994×	`lower-*.f64`
3 558×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	117
0	46	109
1	177	103
2	1214	103
0	9068	101

Stop Event

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

Counts

18 → 956

Calls

Call 1

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

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

simplify404.0ms (3.9%)

Memory

-13.3MiB live, 632.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 496×	`lower-fma.f64`
12 496×	`lower-fma.f32`
4 186×	`lower-*.f64`
4 186×	`lower-*.f32`
1 906×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	1624
1	317	1624
2	741	1600
3	1628	1590
4	2922	1570
5	4775	1570
6	7553	1570
0	8495	1486

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 208

Calls

Call 1

Inputs
(/ 1/2 (pow x 4))
(/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 4))
(/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 4))
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 4))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(* -1 (/ (* (sin 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) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 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 x)
(/ 1 x)
(/ 1 x)
(/ 1 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
(+ 1/2 (* -1/24 (pow x 3)))
(+ 1/2 (* (pow x 3) (- (* 1/720 (pow x 4)) 1/24)))
(+ 1/2 (* (pow x 3) (- (* 1/720 (pow x 4)) 1/24)))
(* -1/24 (pow x 10))
(* (pow x 10) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(* -1/24 (pow x 10))
(* (pow x 10) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
x
x
x
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)
1/2
(+ 1/2 (* 1/720 (pow x 3)))
(+ 1/2 (* 1/720 (pow x 3)))
(+ 1/2 (* 1/720 (pow x 3)))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (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 (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))) (pow x 2))
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(* -1 (/ (- 1 (cos x)) x))
(* -1 (/ (- 1 (cos x)) x))
(* -1 (/ (- 1 (cos x)) x))
(* -1 (/ (- 1 (cos x)) x))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (- 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)
(* 1/2 (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)
(* 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 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(/ 1/2 (pow x 4))
(/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 4))
(/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 4))
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 4))
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/ -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))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
(/ 1/2 (pow x 4))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 4))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 4))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
(* -1 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.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) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 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 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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 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))) (cos (* 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.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 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)
(/ 1/2 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
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 3)))
(fma.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 3) (- (* 1/720 (pow x 4)) 1/24)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 3) (- (* 1/720 (pow x 4)) 1/24)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(* -1/24 (pow x 10))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(fma.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))) #s(literal 1/2 binary64))
(* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(fma.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))) #s(literal 1/2 binary64))
(* -1/24 (pow x 10))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (* 1/720 (/ 1 (pow x 6))) 1/24))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(fma.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))) #s(literal 1/2 binary64))
(* (pow x 10) (- (+ (/ 1/2 (pow x 10)) (* 1/720 (/ 1 (pow x 6)))) 1/24))
(fma.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))) #s(literal 1/2 binary64))
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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 (* 1/720 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/720 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/720 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))
(* 1/720 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))
(* 1/720 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 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)
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))
(/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 2))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 2))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.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 x (*.f64 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 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 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 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x 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 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 x (*.f64 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 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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 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)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/ 1/2 (pow x 4))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (pow x 4))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (pow x 4))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.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 x (*.f64 x #s(literal -1/24 binary64)) #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 (.f64 x 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) (neg.f64 x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval168.0ms (1.6%)

Memory: -0.2MiB live, 299.8MiB allocated
Compiler: Compiled 25 020 to 2 503 computations (90% saved)

prune145.0ms (1.4%)

Memory

18.5MiB live, 352.2MiB allocated

Pruning

35 alts after pruning (25 fresh and 10 done)

	Pruned	Kept	Total
New	1 279	7	1 286
Fresh	5	18	23
Picked	0	5	5
Done	1	5	6
Total	1 285	35	1 320

Accuracy

100.0%

Counts

1 320 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.0%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
	54.5%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	54.0%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
	45.4%	(fma.f64 (.f64 x (cos.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
✓	49.6%	(fma.f64 (.f64 x x) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (.f64 x x) #s(literal 1/2 binary64)))
	49.2%	(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
	21.6%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (.f64 x x) x) (.f64 x (*.f64 x x)))
✓	54.3%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
	54.2%	(/.f64 (fma.f64 (.f64 x (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 x x))
	3.1%	(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
	53.8%	(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x x)) x)
✓	54.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	80.3%	(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x) x)
	30.9%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
	54.5%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	12.4%	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (cos.f64 x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
✓	44.2%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
	54.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 x) x) x)) (.f64 x x))
✓	54.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	29.8%	(/.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x))
	54.6%	(/.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) x)
	29.4%	(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 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 x x))
	49.6%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) x)
	29.4%	(/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) (.f64 x x))
	31.1%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	30.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	6.6%	(/.f64 #s(literal 1/2 binary64) x)
	54.5%	(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
	54.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	54.6%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
	53.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	30.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
✓	99.6%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)))
	80.1%	(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
✓	49.6%	#s(literal 1/2 binary64)

Compiler

Compiled 1 223 to 448 computations (63.4% saved)

regimes60.0ms (0.6%)

Memory

-20.6MiB live, 53.4MiB allocated

Counts

62 → 1

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
20.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes36.0ms (0.4%)

Memory

-0.5MiB live, 72.3MiB allocated

Counts

60 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	x
15.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.8%	2	`x`
99.0%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes27.0ms (0.3%)

Memory

7.8MiB live, 47.9MiB allocated

Counts

58 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.2%)

Memory

3.3MiB live, 41.0MiB allocated

Counts

57 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.2%)

Memory

9.3MiB live, 48.1MiB allocated

Counts

56 → 2

Calls

Call 1

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

Outputs

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

16.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.2%)

Memory

4.6MiB live, 42.9MiB allocated

Counts

55 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.2%)

Memory

-8.3MiB live, 35.3MiB allocated

Counts

45 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes15.0ms (0.1%)

Memory

-4.4MiB live, 34.5MiB allocated

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0.1%)

Memory

4.1MiB live, 43.0MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

8.0ms	x
6.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
54.9%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
77.6%	2	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes8.0ms (0.1%)

Memory

-20.1MiB live, 18.5MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
77.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
77.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
76.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Memory

-40.0MiB live, 11.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
2.0ms	x

Results

Accuracy	Segments	Branch
49.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
52.0%	2	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Accuracy

Total -28.4b remaining (-88.3%)

Threshold costs -28.4b (-88.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1/2 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
49.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
49.6%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch9.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
8.0ms	1.3361368006770563e-5	0.0003003423326668279

Samples

4.0ms

96×

valid

Compiler

Compiled 138 to 100 computations (27.5% saved)

Precisions

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

ival-div: 1.0ms (37.4% of total)

ival-cos: 1.0ms (37.4% of total)

ival-mult: 1.0ms (37.4% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

-15.9MiB live, 22.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0015606197816147912	0.009249933411417612

Samples

6.0ms

96×

valid

Compiler

Compiled 168 to 112 computations (33.3% saved)

Precisions

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

ival-div: 1.0ms (36.8% of total)

ival-cos: 1.0ms (36.8% of total)

ival-mult: 1.0ms (36.8% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	0.009249933411417612	0.018673736282307524

Samples

2.0ms

48×

valid

Compiler

Compiled 90 to 61 computations (32.2% saved)

Precisions

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

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)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	0.009249933411417612	0.018673736282307524

Compiler

Compiled 64 to 44 computations (31.3% saved)

bsearch100.0ms (1%)

Memory

-21.4MiB live, 16.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
99.0ms	0.018673736282307524	0.4655180461949266

Samples

94.0ms

112×

valid

Compiler

Compiled 257 to 171 computations (33.5% saved)

Precisions

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

ival-sub: 1.0ms (32% of total)

ival-div: 1.0ms (32% of total)

ival-cos: 1.0ms (32% of total)

ival-mult: 1.0ms (32% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.018673736282307524	0.4655180461949266

Compiler

Compiled 250 to 157 computations (37.2% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.018673736282307524	0.4655180461949266

Compiler

Compiled 236 to 150 computations (36.4% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.018673736282307524	0.4655180461949266

Compiler

Compiled 236 to 150 computations (36.4% saved)

bsearch13.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.7761161593295676	28.459194717765982

Samples

8.0ms

112×

valid

Compiler

Compiled 215 to 136 computations (36.7% saved)

Precisions

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

ival-cos: 4.0ms (71% of total)

ival-sub: 1.0ms (17.7% of total)

ival-div: 1.0ms (17.7% of total)

ival-mult: 1.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.7761161593295676	28.459194717765982

Samples

2.0ms

32×

valid

Compiler

Compiled 152 to 101 computations (33.6% saved)

Precisions

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

ival-cos: 1.0ms (62.4% of total)

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

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

ival-true: 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)

bsearch17.0ms (0.2%)

Memory

-28.3MiB live, 9.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.7761161593295676	28.459194717765982

Samples

14.0ms

48×

valid

Compiler

Compiled 117 to 87 computations (25.6% saved)

Precisions

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

ival-div: 11.0ms (83% of total)

ival-cos: 1.0ms (7.5% of total)

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

ival-true: 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)

bsearch3.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.7761161593295676	28.459194717765982

Samples

1.0ms

16×

valid

Compiler

Compiled 117 to 87 computations (25.6% saved)

Precisions

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

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)

bsearch8.0ms (0.1%)

Memory

16.1MiB live, 16.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.7761161593295676	28.459194717765982

Samples

4.0ms

64×

valid

Compiler

Compiled 103 to 80 computations (22.3% saved)

Precisions

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

ival-cos: 2.0ms (66.2% of total)

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

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

ival-true: 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)

simplify18.0ms (0.2%)

Memory

-15.0MiB live, 23.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	338
1	103	338
2	112	338
3	123	338
4	134	337
5	146	337
6	153	337
7	155	337
8	156	337

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)))
(if (<=.f64 x #s(literal 5534023222112865/18446744073709551616 binary64)) (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x))
(if (<=.f64 x #s(literal 5188146770730811/576460752303423488 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x)))
(if (<=.f64 x #s(literal 5764607523034235/576460752303423488 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 5764607523034235/576460752303423488 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #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 3170534137668829/36028797018963968 binary64)) (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 x)))
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 binary64)) (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)

Outputs
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)))
(if (<=.f64 x #s(literal 5534023222112865/18446744073709551616 binary64)) (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x))
(if (<=.f64 x #s(literal 5534023222112865/18446744073709551616 binary64)) (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) x) x))
(if (<=.f64 x #s(literal 5188146770730811/576460752303423488 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x)))
(if (<=.f64 x #s(literal 5764607523034235/576460752303423488 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 5764607523034235/576460752303423488 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x))))
(if (<=.f64 x #s(literal 5764607523034235/576460752303423488 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #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 3170534137668829/36028797018963968 binary64)) (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 x)))
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) x))
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3170534137668829/36028797018963968 binary64)) (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 binary64)) (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)

soundness1.5s (14.5%)

Memory

32.3MiB live, 1 257.0MiB allocated

Rules

12 496×	`lower-fma.f64`
12 496×	`lower-fma.f32`
10 868×	`lower-fma.f64`
10 868×	`lower-fma.f32`
8 320×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	137
0	52	145
1	208	131
2	1483	123
0	8599	123
0	126	1624
1	317	1624
2	741	1600
3	1628	1590
4	2922	1570
5	4775	1570
6	7553	1570
0	8495	1486
0	48	280
1	115	280
2	281	280
3	655	276
4	1372	276
5	2201	276
6	3200	276
7	6880	276
0	8306	258
0	6	17
0	10	17
1	40	17
2	268	17
3	2810	17
0	9656	17
0	30	135
0	54	131
1	187	119
2	1255	111
0	8631	108
0	161	1595
1	374	1571
2	902	1569
3	2506	1562
4	4889	1530
5	7074	1530
0	8184	1460

Stop Event

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

Compiler

Compiled 938 to 452 computations (51.8% saved)

preprocess83.0ms (0.8%)

Memory: -8.8MiB live, 226.8MiB allocated
Compiler: Compiled 738 to 204 computations (72.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	83	338
1	103	338
2	112	338
3	123	338
4	134	337
5	146	337
6	153	337
7	155	337
8	156	337

Iter	Nodes	Cost
0	83	338
1	103	338
2	112	338
3	123	338
4	134	337
5	146	337
6	153	337
7	155	337
8	156	337

analyze1.0ms (0%)

sample1.9s (18.5%)

preprocess66.0ms (0.6%)

explain285.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify51.0ms (0.5%)

localize52.0ms (0.5%)

series3.0ms (0%)

rewrite350.0ms (3.4%)

simplify273.0ms (2.6%)

eval113.0ms (1.1%)

prune130.0ms (1.2%)

simplify214.0ms (2.1%)

localize167.0ms (1.6%)

series33.0ms (0.3%)

rewrite337.0ms (3.2%)

simplify367.0ms (3.5%)

eval269.0ms (2.6%)

prune199.0ms (1.9%)

simplify338.0ms (3.3%)

localize182.0ms (1.7%)

series26.0ms (0.2%)

rewrite372.0ms (3.6%)

simplify423.0ms (4.1%)

eval220.0ms (2.1%)

prune158.0ms (1.5%)

simplify224.0ms (2.2%)

localize306.0ms (2.9%)

series86.0ms (0.8%)

rewrite466.0ms (4.5%)

simplify404.0ms (3.9%)

eval168.0ms (1.6%)

prune145.0ms (1.4%)

regimes60.0ms (0.6%)

regimes36.0ms (0.4%)

regimes27.0ms (0.3%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes18.0ms (0.2%)

regimes19.0ms (0.2%)

regimes15.0ms (0.1%)

regimes9.0ms (0.1%)

regimes16.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

bsearch9.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch5.0ms (0%)

bsearch1.0ms (0%)

bsearch100.0ms (1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch13.0ms (0.1%)

bsearch4.0ms (0%)

bsearch17.0ms (0.2%)

bsearch3.0ms (0%)

bsearch8.0ms (0.1%)

simplify18.0ms (0.2%)

soundness1.5s (14.5%)

preprocess83.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	83	338
1	103	338
2	112	338
3	123	338
4	134	337
5	146	337
6	153	337
7	155	337
8	156	337