Metrics for cos2 (problem 3.4.1)

analyze1.0ms (0%)

Memory

2.1MiB live, 2.1MiB 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)

sample2.0s (17.7%)

Memory

-1.2MiB live, 1 835.7MiB allocated

Samples

666.0ms	4 116×	0	valid
634.0ms	2 232×	2	valid
340.0ms	605×	3	valid
133.0ms	1 303×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-cos: 891.0ms (71.4% of total)

ival-div: 96.0ms (7.7% of total)

adjust: 95.0ms (7.6% of total)

ival-sub: 93.0ms (7.4% of total)

ival-mult: 58.0ms (4.6% of total)

ival-true: 7.0ms (0.6% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

preprocess59.0ms (0.5%)

Memory

16.2MiB live, 94.2MiB 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)

explain174.0ms (1.5%)

Memory

7.6MiB live, 168.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
77	1	(1.858776733633775e+272)	1	(1.2453797573747258e+118)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
61	0	-	1	(2.1633476250003085e-159)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	77	3
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	55	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	55
↳	`(*.f64 x x)`	underflow	55
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	5	0
↳	`(*.f64 x x)`	overflow	72

Confusion

	Predicted +	Predicted -
+	133	0
-	4	119

Precision

0.9708029197080292

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	4	2	117

Precision?

0.9568345323741008

Recall?

1.0

Freqs

test

number	freq
0	119
1	137

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms	136×	2	valid
22.0ms	268×	0	valid
12.0ms	34×	3	valid
11.0ms	74×	1	valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-cos: 42.0ms (64.1% of total)

ival-mult: 7.0ms (10.7% of total)

ival-div: 6.0ms (9.2% of total)

adjust: 5.0ms (7.6% of total)

ival-sub: 5.0ms (7.6% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify33.0ms (0.3%)

Memory

-16.3MiB live, 22.9MiB 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)

localize98.0ms (0.9%)

Memory

91.3MiB live, 150.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	78.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	accuracy	74.9%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

45.0ms	134×	0	valid
34.0ms	68×	2	valid
6.0ms	17×	3	valid
4.0ms	37×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-sub: 37.0ms (46.2% of total)

ival-cos: 36.0ms (45% of total)

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

adjust: 3.0ms (3.7% of total)

ival-mult: 2.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

-32.2MiB live, 4.9MiB 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>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

12 calls:

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

rewrite362.0ms (3.1%)

Memory

-31.4MiB live, 492.6MiB 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)

simplify500.0ms (4.3%)

Memory

-18.0MiB live, 546.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 752×	`lower-fma.f64`
16 752×	`lower-fma.f32`
3 896×	`lower-*.f64`
3 896×	`lower-*.f32`
1 568×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval81.0ms (0.7%)

Memory: 14.7MiB live, 166.0MiB allocated
Compiler: Compiled 15 719 to 1 639 computations (89.6% saved)

prune100.0ms (0.9%)

Memory

10.5MiB live, 210.4MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

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

Accuracy

100.0%

Counts

678 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.3%	(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))
	48.9%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 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))
	48.9%	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
	53.2%	(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))
	33.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	53.1%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	13.0%	(/.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)))
▶	12.9%	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
	13.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (.f64 (.f64 x x) (/.f64 (.f64 x x) (cos.f64 x))))
	44.8%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	29.5%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
	7.3%	(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.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))))))
	77.3%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
▶	51.7%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
	51.6%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	51.7%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))))
	53.2%	(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
▶	77.8%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	51.7%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
▶	50.0%	#s(literal 1/2 binary64)

Compiler

Compiled 657 to 334 computations (49.2% saved)

simplify198.0ms (1.7%)

Memory

-0.5MiB live, 203.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x (cos.f64 x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	320	(-.f64 (.f64 x x) (.f64 x (*.f64 x (cos.f64 x))))
✓	cost-diff	1280	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	0	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	cost-diff	704	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
✓	cost-diff	0	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	cost-diff	320	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	cost-diff	0	(*.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))))

Rules

3 256×	`lower-fma.f64`
3 256×	`lower-fma.f32`
2 548×	`lower-*.f32`
2 534×	`lower-*.f64`
2 106×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	143
0	40	129
1	79	124
2	219	124
3	551	121
4	1639	121
5	3978	121
6	6785	121
0	8048	121

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)
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x x)
x
(+.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
#s(literal -1 binary64)
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 x x)
x
(+.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
(-.f64 (.f64 x x) (.f64 x (*.f64 x (cos.f64 x))))
(*.f64 x x)
x
(.f64 x (.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(cos.f64 x)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))

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

localize165.0ms (1.4%)

Memory

19.9MiB live, 258.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(*.f64 x (cos.f64 x))
✓	accuracy	75.3%	(-.f64 (.f64 x x) (.f64 x (*.f64 x (cos.f64 x))))
✓	accuracy	26.4%	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.1%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
✓	accuracy	78.3%	(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	accuracy	74.9%	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	98.9%	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	accuracy	77.8%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	accuracy	74.9%	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	accuracy	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.7%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	accuracy	78.7%	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

46.0ms	134×	0	valid
38.0ms	68×	2	valid
16.0ms	37×	1	valid
13.0ms	17×	3	valid

Compiler

Compiled 145 to 24 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-cos: 29.0ms (32.1% of total)

ival-div: 17.0ms (18.8% of total)

ival-mult: 17.0ms (18.8% of total)

adjust: 7.0ms (7.8% of total)

ival-sin: 7.0ms (7.8% of total)

ival-add: 6.0ms (6.6% of total)

ival-tan: 5.0ms (5.5% of total)

ival-sub: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

-3.4MiB live, 33.6MiB allocated

Counts

16 → 192

Calls

Call 1

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

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/6 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt (/ (sin x) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt -2>
#<alt (- (* -1/6 (pow x 2)) 2)>
#<alt (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (* 1/2 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (* (pow x 2) (- 1 (cos x)))>
#<alt (* (pow x 2) (- 1 (cos x)))>
#<alt (* (pow x 2) (- 1 (cos x)))>
#<alt (* (pow x 2) (- 1 (cos x)))>
#<alt (* (pow x 2) (- 1 (cos x)))>
#<alt (* (pow x 2) (- 1 (cos x)))>
#<alt (* (pow x 2) (- 1 (cos x)))>
#<alt (* (pow x 2) (- 1 (cos x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* (pow x 2) (cos x))>
#<alt (* (pow x 2) (cos x))>
#<alt (* (pow x 2) (cos x))>
#<alt (* (pow x 2) (cos x))>
#<alt (* (pow x 2) (cos x))>
#<alt (* (pow x 2) (cos x))>
#<alt (* (pow x 2) (cos x))>
#<alt (* (pow x 2) (cos x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

48 calls:

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

rewrite430.0ms (3.7%)

Memory

6.5MiB live, 717.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 294×	`lower-fma.f64`
6 294×	`lower-fma.f32`
5 296×	`lower-*.f32`
5 282×	`lower-*.f64`
4 046×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	108
0	39	96
1	147	92
2	1030	89
0	8965	89

Stop Event

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

Counts

16 → 1 774

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

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

simplify487.0ms (4.2%)

Memory

-15.4MiB live, 730.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 178×	`lower-fma.f64`
15 178×	`lower-fma.f32`
6 060×	`lower-*.f64`
6 060×	`lower-*.f32`
3 418×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	1462
1	351	1420
2	869	1420
3	2826	1420
4	5245	1420
5	5913	1420
0	8394	1342

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 190

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
-2
(- (* -1/6 (pow x 2)) 2)
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(/ (pow x 2) (- (cos x) 1))
(/ (pow x 2) (- (cos x) 1))
(/ (pow x 2) (- (cos x) 1))
(/ (pow x 2) (- (cos x) 1))
(/ (pow x 2) (- (cos x) 1))
(/ (pow x 2) (- (cos x) 1))
(/ (pow x 2) (- (cos x) 1))
(/ (pow x 2) (- (cos x) 1))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 1/2 (pow x 4))
(* (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 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* (pow x 2) (cos x))
(* (pow x 2) (cos x))
(* (pow x 2) (cos x))
(* (pow x 2) (cos x))
(* (pow x 2) (cos x))
(* (pow x 2) (cos x))
(* (pow x 2) (cos x))
(* (pow x 2) (cos x))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
x
(* x (+ 1 (* -1/2 (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))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 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)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 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) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.f64 x (.f64 x (fma.f64 (.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) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 x (.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))))
(- (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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 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) 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))
-2
#s(literal -2 binary64)
(- (* -1/6 (pow x 2)) 2)
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal -1/6 binary64))) #s(literal -2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3024 binary64) #s(literal -1/120 binary64))) #s(literal -1/6 binary64))) #s(literal -2 binary64))
(/ (pow x 2) (- (cos x) 1))
(/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
(/ (pow x 2) (- (cos x) 1))
(/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
(/ (pow x 2) (- (cos x) 1))
(/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
(/ (pow x 2) (- (cos x) 1))
(/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
(/ (pow x 2) (- (cos x) 1))
(/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
(/ (pow x 2) (- (cos x) 1))
(/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
(/ (pow x 2) (- (cos x) 1))
(/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
(/ (pow x 2) (- (cos x) 1))
(/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (cos.f64 x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* 1/2 (pow x 4))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (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)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal -1/2 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(.f64 (.f64 x x) (fma.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))) #s(literal 1 binary64)))
(* (pow x 2) (cos x))
(.f64 x (.f64 x (cos.f64 x)))
(* (pow x 2) (cos x))
(.f64 x (.f64 x (cos.f64 x)))
(* (pow x 2) (cos x))
(.f64 x (.f64 x (cos.f64 x)))
(* (pow x 2) (cos x))
(.f64 x (.f64 x (cos.f64 x)))
(* (pow x 2) (cos x))
(.f64 x (.f64 x (cos.f64 x)))
(* (pow x 2) (cos x))
(.f64 x (.f64 x (cos.f64 x)))
(* (pow x 2) (cos x))
(.f64 x (.f64 x (cos.f64 x)))
(* (pow x 2) (cos x))
(.f64 x (.f64 x (cos.f64 x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #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
#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 x (.f64 x (fma.f64 (.f64 x 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 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
x
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (.f64 x 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)
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval371.0ms (3.2%)

Memory: -21.0MiB live, 407.5MiB allocated
Compiler: Compiled 50 609 to 2 782 computations (94.5% saved)

prune173.0ms (1.5%)

Memory

-1.6MiB live, 412.5MiB allocated

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	2 204	21	2 225
Fresh	7	9	16
Picked	2	3	5
Done	0	1	1
Total	2 213	34	2 247

Accuracy

100.0%

Counts

2 247 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	14.5%	(fma.f64 (.f64 x (neg.f64 x)) (/.f64 (cos.f64 x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	49.3%	(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))
	48.9%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 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))
▶	48.9%	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
	52.1%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
	13.3%	(/.f64 (fma.f64 x x (neg.f64 (.f64 x (.f64 x (cos.f64 x))))) (.f64 x (.f64 x (*.f64 x x))))
▶	53.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	51.3%	(/.f64 (/.f64 (.f64 (-.f64 x (.f64 x (cos.f64 x))) #s(literal 1 binary64)) (*.f64 x x)) x)
▶	53.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	53.1%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	13.0%	(/.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)))
✓	12.9%	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
	9.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x (cos.f64 x))) x))) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
	44.8%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	29.5%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
▶	99.8%	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) x)
	77.3%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))
	77.0%	(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3024 binary64) #s(literal -1/120 binary64))) #s(literal -1/6 binary64))) #s(literal -2 binary64)))
	77.1%	(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal -1/6 binary64))) #s(literal -2 binary64)))
	79.1%	(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))
	52.4%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))) x))
	51.7%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x))) (.f64 x x)))
	51.3%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (neg.f64 x)) (/.f64 x (-.f64 x (*.f64 x (cos.f64 x))))))
	51.6%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	51.7%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))))
	52.4%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
	77.8%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
	99.7%	(.f64 (/.f64 (sin.f64 x) x) (.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
	39.9%	(.f64 (/.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (*.f64 x (cos.f64 x))))
✓	51.7%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
	12.9%	(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (cos.f64 x) (.f64 x (.f64 x (.f64 x x))))))
✓	50.0%	#s(literal 1/2 binary64)

Compiler

Compiled 919 to 538 computations (41.5% saved)

simplify198.0ms (1.7%)

Memory

-5.6MiB live, 73.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(/.f64 (cos.f64 x) x)
✓	cost-diff	1600	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	1088	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	cost-diff	384	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 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	384	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) x)

Rules

1 064×	`lower-fma.f32`
1 060×	`lower-fma.f64`
880×	`lower-*.f32`
874×	`lower-*.f64`
502×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	129
0	45	122
1	71	122
2	113	122
3	175	122
4	317	122
5	488	122
6	706	122
7	985	122
8	1239	122
9	2174	122
10	2951	122
11	3370	122
12	3411	122
13	3452	122
14	3478	122
15	3491	122
16	3493	122
17	3493	122
18	3497	122
0	3497	122

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize180.0ms (1.6%)

Memory

13.5MiB live, 204.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(/.f64 (cos.f64 x) x)
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	53.2%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	accuracy	79.4%	(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	74.9%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	accuracy	79.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	accuracy	74.9%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.9%	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) x)
✓	accuracy	99.8%	(/.f64 (sin.f64 x) x)
✓	accuracy	99.7%	(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))

Samples

90.0ms	122×	1	valid
48.0ms	134×	0	valid

Compiler

Compiled 133 to 28 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 40.0ms (34% of total)

ival-cos: 24.0ms (20.4% of total)

ival-div: 19.0ms (16.1% of total)

const: 10.0ms (8.5% of total)

ival-tan: 8.0ms (6.8% of total)

ival-sin: 6.0ms (5.1% of total)

adjust: 5.0ms (4.2% of total)

ival-add: 4.0ms (3.4% of total)

ival-sub: 2.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory

-8.9MiB live, 28.9MiB allocated

Counts

19 → 228

Calls

Call 1

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

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (* 1/2 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 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (* 1/2 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>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ 1 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 (/ (+ 2 (* 1/6 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x)>
#<alt (/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x)>
#<alt (/ x (- 1 (cos x)))>
#<alt (/ x (- 1 (cos x)))>
#<alt (/ x (- 1 (cos x)))>
#<alt (/ x (- 1 (cos x)))>
#<alt (/ x (- 1 (cos x)))>
#<alt (/ x (- 1 (cos x)))>
#<alt (/ x (- 1 (cos x)))>
#<alt (/ x (- 1 (cos x)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ -1 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>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt 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 (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))>

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ (cos x) x)
1.0ms	x	@	-inf	(* (tan (* x 1/2)) (/ (sin x) x))
1.0ms	x	@	-inf	(/ (sin x) x)
0.0ms	x	@	inf	(+ (* (/ (cos x) x) (/ -1 x)) (/ 1 (* x x)))
0.0ms	x	@	-inf	(/ x (- 1 (cos x)))

rewrite358.0ms (3.1%)

Memory

7.1MiB live, 559.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 296×	`lower-/.f32`
4 276×	`lower-/.f64`
3 410×	`lower-*.f32`
3 404×	`lower-*.f64`
2 714×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	106
0	45	99
1	168	97
2	1413	97
0	8513	97

Stop Event

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

Counts

19 → 1 601

Calls

Call 1

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

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

simplify478.0ms (4.2%)

Memory

34.8MiB live, 868.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 926×	`lower-fma.f64`
16 926×	`lower-fma.f32`
4 818×	`lower-*.f64`
4 818×	`lower-*.f32`
2 858×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	1588
1	331	1588
2	794	1582
3	2204	1582
4	3848	1582
5	4223	1582
6	5961	1582
7	7241	1582
0	8012	1495

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 227

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(* 1/2 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 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 1/2 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
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ 1 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)
(/ (+ 2 (* 1/6 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) 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 (cos x)))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
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 (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))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(* 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 x (.f64 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 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(/ (* (sin x) (sin (* 1/2 x))) (* 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 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 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* -1/24 (pow x 2))
(.f64 #s(literal -1/24 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* -1/24 (pow x 2))
(.f64 #s(literal -1/24 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* 1/2 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 x (.f64 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 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(/ (- 1 (cos x)) 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 (.f64 x x) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 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 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 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(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
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 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)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 1/6 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x)
(/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3024 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) x)
(/ x (- 1 (cos x)))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ x (- 1 (cos x)))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ x (- 1 (cos x)))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ x (- 1 (cos x)))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ x (- 1 (cos x)))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ x (- 1 (cos x)))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ x (- 1 (cos x)))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ x (- 1 (cos x)))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ -1 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
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x 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 (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))

eval586.0ms (5.1%)

Memory: -5.8MiB live, 397.1MiB allocated
Compiler: Compiled 35 054 to 2 493 computations (92.9% saved)

prune484.0ms (4.2%)

Memory

-34.8MiB live, 304.7MiB allocated

Pruning

35 alts after pruning (26 fresh and 9 done)

	Pruned	Kept	Total
New	1 922	8	1 930
Fresh	7	18	25
Picked	0	5	5
Done	0	4	4
Total	1 929	35	1 964

Accuracy

100.0%

Counts

1 964 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.3%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	14.5%	(fma.f64 (.f64 x (neg.f64 x)) (/.f64 (cos.f64 x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	49.3%	(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))
	48.9%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 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))
✓	48.9%	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
	52.1%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
	44.8%	(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (.f64 x (.f64 x x)))
	13.3%	(/.f64 (fma.f64 x x (neg.f64 (.f64 x (.f64 x (cos.f64 x))))) (.f64 x (.f64 x (*.f64 x x))))
▶	13.0%	(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x)))
	51.3%	(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 x (neg.f64 (cos.f64 x)))) (.f64 x x)) x)
✓	53.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	79.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) x))
✓	53.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	51.6%	(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x))) x)
▶	53.1%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
✓	12.9%	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
	9.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x (cos.f64 x))) x))) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
▶	44.8%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	29.5%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
	78.6%	(/.f64 (.f64 (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
✓	99.8%	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) x)
	77.3%	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 x x))
	77.0%	(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3024 binary64) #s(literal -1/120 binary64))) #s(literal -1/6 binary64))) #s(literal -2 binary64)))
	77.1%	(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal -1/6 binary64))) #s(literal -2 binary64)))
▶	79.1%	(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))
	52.4%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))) x))
	51.3%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (neg.f64 x)) (/.f64 x (-.f64 x (*.f64 x (cos.f64 x))))))
	51.6%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	51.7%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))))
	52.4%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
	77.8%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
	39.9%	(.f64 (/.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (*.f64 x (cos.f64 x))))
✓	51.7%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	50.0%	#s(literal 1/2 binary64)

Compiler

Compiled 874 to 513 computations (41.3% saved)

simplify486.0ms (4.2%)

Memory

15.8MiB live, 288.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) (neg.f64 (cos.f64 x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	640	(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 x x) (neg.f64 (cos.f64 x))))
✓	cost-diff	1280	(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x)))
✓	cost-diff	0	(/.f64 (cos.f64 x) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	384	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
✓	cost-diff	704	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
✓	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 x)
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	1024	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
✓	cost-diff	0	(*.f64 x #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))

Rules

3 904×	`lower-fma.f32`
3 900×	`lower-fma.f64`
3 406×	`lower-*.f32`
3 394×	`lower-*.f64`
1 300×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	150
0	48	129
1	91	124
2	195	116
3	595	116
4	1765	116
5	3301	116
6	6467	116
0	8108	116

Stop Event

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

Calls

Call 1

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

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

localize102.0ms (0.9%)

Memory

-10.1MiB live, 188.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 x x) (neg.f64 (cos.f64 x)))
✓	accuracy	86.2%	(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 x x) (neg.f64 (cos.f64 x))))
✓	accuracy	61.1%	(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x)))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
✓	accuracy	99.9%	(/.f64 (cos.f64 x) x)
✓	accuracy	98.9%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(*.f64 x (cos.f64 x))
✓	accuracy	99.1%	(-.f64 x (*.f64 x (cos.f64 x)))
✓	accuracy	92.3%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))
✓	accuracy	99.8%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))

Samples

34.0ms	134×	0	valid
32.0ms	122×	1	exit

Compiler

Compiled 160 to 29 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 12.0ms (24.9% of total)

ival-div: 11.0ms (22.8% of total)

ival-cos: 6.0ms (12.4% of total)

const: 6.0ms (12.4% of total)

adjust: 5.0ms (10.4% of total)

ival-sub: 3.0ms (6.2% of total)

ival-add: 2.0ms (4.1% of total)

ival-neg: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

19 → 216

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))>
#<alt (*.f64 x #s(literal -1/6 binary64))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
#<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 (cos.f64 x) x))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (cos.f64 x) x)>
#<alt (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x)))>
#<alt (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 x x) (neg.f64 (cos.f64 x))))>
#<alt (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))>
#<alt (.f64 x (.f64 x x))>
#<alt (.f64 (.f64 x x) (*.f64 x x))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24)))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))>
#<alt -2>
#<alt (- (* -1/6 (pow x 2)) 2)>
#<alt (- (* -1/6 (pow x 2)) 2)>
#<alt (- (* -1/6 (pow x 2)) 2)>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (+ 1 (* -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 (* 1/2 (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 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 (* -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>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ 1 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 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (* 1/2 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))>
#<alt (* -1 (* (pow x 2) (cos x)))>
#<alt (* -1 (* (pow x 2) (cos x)))>
#<alt (* -1 (* (pow x 2) (cos x)))>
#<alt (* -1 (* (pow x 2) (cos x)))>
#<alt (* -1 (* (pow x 2) (cos x)))>
#<alt (* -1 (* (pow x 2) (cos x)))>
#<alt (* -1 (* (pow x 2) (cos x)))>
#<alt (* -1 (* (pow x 2) (cos x)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>

Calls

54 calls:

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

rewrite420.0ms (3.7%)

Memory

13.8MiB live, 760.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 338×	`lower-fma.f32`
5 334×	`lower-fma.f64`
5 004×	`lower-/.f32`
4 992×	`lower-/.f64`
4 234×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	126
0	48	103
1	192	92
2	1474	92
0	8962	92

Stop Event

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

Counts

19 → 1 456

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/216 binary64) #s(literal -8 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -2 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (-.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/216 binary64) #s(literal -8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/216 binary64) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/216 binary64) #s(literal -8 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/216 binary64) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/216 binary64) #s(literal -8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/216 binary64) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))) (-.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/216 binary64) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/216 binary64) #s(literal -8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/216 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))))
(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal 0 binary64)
#s(literal 0 binary64)
(exp.f64 (log.f64 (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) 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 (neg.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (.f64 x x))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (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 x)) (/.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 x x)))) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (.f64 x x))) (.f64 x (.f64 x x))) (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (.f64 x x))) (.f64 x (*.f64 x x))))
(-.f64 (/.f64 (.f64 (/.f64 x (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (fma.f64 x (cos.f64 x) x)) (.f64 x (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 (cos.f64 x) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (/.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x))
(-.f64 (/.f64 (.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) x) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (.f64 x x)))) (/.f64 (pow.f64 (.f64 x (cos.f64 x)) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 (/.f64 (cos.f64 x) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64)) (.f64 x (fma.f64 (/.f64 (cos.f64 x) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(-.f64 (/.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (cos.f64 x) x))) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 x (*.f64 x x)) (fma.f64 x (cos.f64 x) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (+.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 #s(literal 2 binary64) x)))) (.f64 x x)) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (cos.f64 x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))))))
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(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 x (cos.f64 x))) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)) (neg.f64 (.f64 x (.f64 x (cos.f64 x)))))
(fma.f64 x x (neg.f64 (.f64 x (.f64 x (cos.f64 x)))))
(fma.f64 x (neg.f64 (.f64 x (cos.f64 x))) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (neg.f64 (.f64 x (*.f64 x (cos.f64 x)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (*.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (neg.f64 (.f64 x (*.f64 x (cos.f64 x)))))
(fma.f64 (.f64 x x) (neg.f64 (cos.f64 x)) (.f64 x x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (*.f64 x x))
(fma.f64 (neg.f64 (cos.f64 x)) (.f64 x x) (.f64 x x))
(fma.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 (.f64 x (.f64 x (cos.f64 x)))))
(fma.f64 (neg.f64 (.f64 x x)) (cos.f64 x) (.f64 x x))
(fma.f64 (neg.f64 (.f64 x (cos.f64 x))) x (.f64 x x))
(fma.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x) (*.f64 x x))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (.f64 x (.f64 x (cos.f64 x)))))
(fma.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (.f64 x (.f64 x (cos.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (.f64 x (.f64 x (cos.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (-.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (neg.f64 (pow.f64 (.f64 x (.f64 x (cos.f64 x))) #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (-.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (neg.f64 (pow.f64 (.f64 x (.f64 x (cos.f64 x))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (neg.f64 (pow.f64 (.f64 x (.f64 x (cos.f64 x))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (-.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (neg.f64 (pow.f64 (.f64 x (.f64 x (cos.f64 x))) #s(literal 3 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 x (cos.f64 x))))))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (neg.f64 (pow.f64 (.f64 x (.f64 x (cos.f64 x))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (-.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (neg.f64 (pow.f64 (.f64 x (.f64 x (cos.f64 x))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (neg.f64 (.f64 x (.f64 x (cos.f64 x)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (neg.f64 (.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))) (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (neg.f64 (pow.f64 (.f64 x (.f64 x (cos.f64 x))) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (-.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))) (neg.f64 (neg.f64 (.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (-.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x))))
(pow.f64 (/.f64 (fma.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (-.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (neg.f64 (pow.f64 (.f64 x (.f64 x (cos.f64 x))) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) #s(literal -1 binary64))
(.f64 x (-.f64 x (.f64 x (cos.f64 x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (.f64 x x) (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (neg.f64 (pow.f64 (.f64 x (.f64 x (cos.f64 x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (-.f64 (neg.f64 (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (cos.f64 x)) x)) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))
(.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (cos.f64 x)) x))) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (-.f64 x (neg.f64 (.f64 x (cos.f64 x))))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (cos.f64 x))))
(neg.f64 (.f64 x (.f64 x (cos.f64 x))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x (cos.f64 x))))
(.f64 x (neg.f64 (.f64 x (cos.f64 x))))
(.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (*.f64 x (cos.f64 x)))))
(.f64 (.f64 x x) (neg.f64 (cos.f64 x)))
(.f64 (.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(.f64 (neg.f64 (cos.f64 x)) (.f64 x x))
(.f64 (neg.f64 (.f64 x (*.f64 x (cos.f64 x)))) #s(literal 1 binary64))
(.f64 (neg.f64 (.f64 x x)) (cos.f64 x))
(.f64 (neg.f64 (.f64 x (cos.f64 x))) x)
(.f64 (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 x (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 x x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))

simplify439.0ms (3.8%)

Memory

-18.8MiB live, 618.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 040×	`lower-fma.f64`
15 040×	`lower-fma.f32`
3 990×	`lower-*.f64`
3 990×	`lower-*.f32`
3 538×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	1375
1	349	1369
2	861	1363
3	2630	1363
4	5379	1363
5	7866	1363
0	8266	1291

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 215

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24)))
(/ 6 (pow x 2))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/ 6 (pow x 2))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
-2
(- (* -1/6 (pow x 2)) 2)
(- (* -1/6 (pow x 2)) 2)
(- (* -1/6 (pow x 2)) 2)
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
0
0
0
0
0
0
0
0
0
0
0
0
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (+ 1 (* -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))
(* 1/2 (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 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 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* 1/2 (pow x 4))
(* (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 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 (* -1 (cos x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(* -1 (* (pow x 2) (cos x)))
(* -1 (* (pow x 2) (cos x)))
(* -1 (* (pow x 2) (cos x)))
(* -1 (* (pow x 2) (cos x)))
(* -1 (* (pow x 2) (cos x)))
(* -1 (* (pow x 2) (cos x)))
(* -1 (* (pow x 2) (cos x)))
(* -1 (* (pow x 2) (cos x)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/288 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3456 binary64) #s(literal 1/288 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -72 binary64) (.f64 x x)) (/.f64 #s(literal -10368 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -72 binary64) (.f64 x x)) (/.f64 #s(literal -10368 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x))
-2
#s(literal -2 binary64)
(- (* -1/6 (pow x 2)) 2)
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))
(- (* -1/6 (pow x 2)) 2)
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))
(- (* -1/6 (pow x 2)) 2)
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -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))
(* 1/2 (pow x 3))
(.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)))
(* x (- 1 (cos x)))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(* x (- 1 (cos x)))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(* x (- 1 (cos x)))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(* x (- 1 (cos x)))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(* x (+ 1 (* -1 (cos x))))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(* x (+ 1 (* -1 (cos x))))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(* x (+ 1 (* -1 (cos x))))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(* x (+ 1 (* -1 (cos x))))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
x
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (.f64 x (.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)) x)
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (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)
(* 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 x (.f64 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 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(/ (- 1 (cos x)) 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
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 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 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.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)) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -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))
(* 1/2 (pow x 4))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 x (.f64 x (.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)))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(*.f64 x (fma.f64 (cos.f64 x) (neg.f64 x) x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* 1/2 (pow x 2)) 1))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64)))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(.f64 (.f64 x x) (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)))
(* -1 (* (pow x 2) (cos x)))
(.f64 x (.f64 x (neg.f64 (cos.f64 x))))
(* -1 (* (pow x 2) (cos x)))
(.f64 x (.f64 x (neg.f64 (cos.f64 x))))
(* -1 (* (pow x 2) (cos x)))
(.f64 x (.f64 x (neg.f64 (cos.f64 x))))
(* -1 (* (pow x 2) (cos x)))
(.f64 x (.f64 x (neg.f64 (cos.f64 x))))
(* -1 (* (pow x 2) (cos x)))
(.f64 x (.f64 x (neg.f64 (cos.f64 x))))
(* -1 (* (pow x 2) (cos x)))
(.f64 x (.f64 x (neg.f64 (cos.f64 x))))
(* -1 (* (pow x 2) (cos x)))
(.f64 x (.f64 x (neg.f64 (cos.f64 x))))
(* -1 (* (pow x 2) (cos x)))
(.f64 x (.f64 x (neg.f64 (cos.f64 x))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))

eval193.0ms (1.7%)

Memory: 20.7MiB live, 403.9MiB allocated
Compiler: Compiled 41 151 to 2 469 computations (94% saved)

prune159.0ms (1.4%)

Memory

0.1MiB live, 403.2MiB allocated

Pruning

41 alts after pruning (30 fresh and 11 done)

	Pruned	Kept	Total
New	1 818	14	1 832
Fresh	5	16	21
Picked	2	3	5
Done	1	8	9
Total	1 826	41	1 867

Accuracy

100.0%

Counts

1 867 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.3%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	14.5%	(fma.f64 (.f64 x (neg.f64 x)) (/.f64 (cos.f64 x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	49.3%	(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))
	48.9%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 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))
✓	48.9%	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
	52.1%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
	44.8%	(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (.f64 x (.f64 x x)))
	13.3%	(/.f64 (fma.f64 x x (neg.f64 (.f64 x (.f64 x (cos.f64 x))))) (.f64 (.f64 x x) (*.f64 x x)))
	51.3%	(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x x)) x)
✓	53.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	79.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) x))
✓	53.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	52.1%	(/.f64 (-.f64 (/.f64 x (*.f64 x x)) (/.f64 (cos.f64 x) x)) x)
✓	53.1%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	9.6%	(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
	12.9%	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x)))
✓	44.8%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	78.6%	(/.f64 (.f64 (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
✓	99.8%	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) x)
	77.3%	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 x x))
	33.2%	(/.f64 #s(literal 6 binary64) (*.f64 x x))
	52.4%	(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
	77.0%	(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3024 binary64) #s(literal -1/120 binary64))) #s(literal -1/6 binary64))) #s(literal -2 binary64)))
	77.1%	(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal -1/6 binary64))) #s(literal -2 binary64)))
✓	79.1%	(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))
	50.9%	(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))))
	49.3%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))))
	50.9%	(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))))
	51.3%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (neg.f64 x)) (/.f64 x (-.f64 x (*.f64 x (cos.f64 x))))))
	33.1%	(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
	51.6%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	51.7%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))))
	52.4%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
	77.8%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
	39.9%	(.f64 (/.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (*.f64 x (cos.f64 x))))
	50.9%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))
✓	51.7%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
	45.2%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x (*.f64 x x))))
✓	50.0%	#s(literal 1/2 binary64)
	30.1%	#s(literal 0 binary64)

Compiler

Compiled 1 512 to 557 computations (63.2% saved)

regimes41.0ms (0.4%)

Memory

23.1MiB live, 102.6MiB allocated

Counts

65 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))
(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) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal -1/6 binary64))) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 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 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3024 binary64) #s(literal -1/120 binary64))) #s(literal -1/6 binary64))) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) x))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x 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) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 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 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (*.f64 x (cos.f64 x))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (/.f64 (.f64 (-.f64 x (.f64 x (cos.f64 x))) #s(literal 1 binary64)) (*.f64 x x)) x)
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 x (neg.f64 (cos.f64 x)))) (.f64 x x)) x)
(/.f64 (-.f64 (/.f64 x (*.f64 x x)) (/.f64 (cos.f64 x) x)) 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 #s(literal -1 binary64) (.f64 (.f64 x (neg.f64 x)) (/.f64 x (-.f64 x (*.f64 x (cos.f64 x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 x x (neg.f64 (.f64 x (.f64 x (cos.f64 x))))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x x (neg.f64 (.f64 x (.f64 x (cos.f64 x))))) (.f64 (.f64 x 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 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))) (.f64 (.f64 x 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)))
(fma.f64 (.f64 x (neg.f64 x)) (/.f64 (cos.f64 x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x))) x)
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (cos.f64 x) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x (cos.f64 x))) x))) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) (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 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 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) x)
(.f64 (/.f64 (sin.f64 x) x) (.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (.f64 (.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (.f64 (.f64 x x) (/.f64 (.f64 x x) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.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))))))

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

Calls

2 calls:

20.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
18.0ms	x

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes35.0ms (0.3%)

Memory

-25.2MiB live, 94.2MiB allocated

Counts

60 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))
(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) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal -1/6 binary64))) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 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 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3024 binary64) #s(literal -1/120 binary64))) #s(literal -1/6 binary64))) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) x))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x 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) x) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 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 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (*.f64 x (cos.f64 x))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (/.f64 (.f64 (-.f64 x (.f64 x (cos.f64 x))) #s(literal 1 binary64)) (*.f64 x x)) x)
(/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 x (neg.f64 (cos.f64 x)))) (.f64 x x)) x)
(/.f64 (-.f64 (/.f64 x (*.f64 x x)) (/.f64 (cos.f64 x) x)) 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 #s(literal -1 binary64) (.f64 (.f64 x (neg.f64 x)) (/.f64 x (-.f64 x (*.f64 x (cos.f64 x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 x x (neg.f64 (.f64 x (.f64 x (cos.f64 x))))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x x (neg.f64 (.f64 x (.f64 x (cos.f64 x))))) (.f64 (.f64 x 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 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))) (.f64 (.f64 x 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)))
(fma.f64 (.f64 x (neg.f64 x)) (/.f64 (cos.f64 x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 (.f64 x (cos.f64 x)) (.f64 x x))) x)
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (cos.f64 x) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x (cos.f64 x))) x))) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
(/.f64 (.f64 (sin.f64 x) (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 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 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

Calls

2 calls:

18.0ms	x
13.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.4%	2	`x`
98.8%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes12.0ms (0.1%)

Memory

-7.1MiB live, 32.3MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))
(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) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal -1/6 binary64))) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 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 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3024 binary64) #s(literal -1/120 binary64))) #s(literal -1/6 binary64))) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) x))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.7%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
98.7%	2	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes10.0ms (0.1%)

Memory

28.9MiB live, 29.0MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))
(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) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal -1/6 binary64))) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 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 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3024 binary64) #s(literal -1/120 binary64))) #s(literal -1/6 binary64))) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) x))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))))

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

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
79.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
79.1%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Memory

-25.3MiB live, 14.1MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))

Outputs
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 x x))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
79.2%	2	`x`
54.3%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
76.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
30.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
30.1%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch12.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.0015512697486542114	3.266165984102389

Samples

6.0ms

128×

valid

Compiler

Compiled 196 to 130 computations (33.7% saved)

Precisions

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

ival-sub: 1.0ms (27% of total)

ival-div: 1.0ms (27% of total)

ival-cos: 1.0ms (27% of total)

ival-mult: 1.0ms (27% 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

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0015512697486542114	3.266165984102389

Compiler

Compiled 196 to 130 computations (33.7% saved)

bsearch52.0ms (0.4%)

Memory

-25.4MiB live, 13.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
51.0ms	0.0015512697486542114	3.266165984102389

Samples

7.0ms

112×

valid

Compiler

Compiled 132 to 98 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 3.0ms (57.4% of total)

ival-sub: 1.0ms (19.1% of total)

ival-div: 1.0ms (19.1% of total)

ival-mult: 1.0ms (19.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	9.229286946274605e+76	8.247021534750007e+78

Samples

8.0ms

112×

valid

Compiler

Compiled 54 to 52 computations (3.7% saved)

Precisions

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

ival-cos: 4.0ms (66.5% of total)

ival-sub: 1.0ms (16.6% of total)

ival-div: 1.0ms (16.6% of total)

ival-mult: 1.0ms (16.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	87
1	46	87
2	49	87
3	51	87
4	52	87

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) x)
(if (<=.f64 x #s(literal 1080863910568919/36028797018963968 binary64)) (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 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 1080863910568919/36028797018963968 binary64)) (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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x x)))
(if (<=.f64 x #s(literal 130000000000000009331693572985691597674199002984591404980029211519262914510848 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) x)
(if (<=.f64 x #s(literal 1080863910568919/36028797018963968 binary64)) (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 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 1080863910568919/36028797018963968 binary64)) (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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x x)))
(if (<=.f64 x #s(literal 130000000000000009331693572985691597674199002984591404980029211519262914510848 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.9s (16.1%)

Memory

-19.2MiB live, 875.3MiB allocated

Rules

16 752×	`lower-fma.f64`
16 752×	`lower-fma.f32`
15 178×	`lower-fma.f64`
15 178×	`lower-fma.f32`
15 040×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	284
1	105	284
2	258	284
3	609	284
4	1279	284
5	2001	284
6	2304	284
7	3158	284
8	4639	284
9	6288	284
10	7157	284
11	7373	284
12	7391	284
13	7393	284
14	7798	284
0	8007	266
0	21	108
0	39	96
1	147	92
2	1030	89
0	8965	89
0	131	1462
1	351	1420
2	869	1420
3	2826	1420
4	5245	1420
5	5913	1420
0	8394	1342
0	6	17
0	10	17
1	40	17
2	268	17
3	2810	17
0	9656	17
0	25	126
0	48	103
1	192	92
2	1474	92
0	8962	92
0	126	1375
1	349	1369
2	861	1363
3	2630	1363
4	5379	1363
5	7866	1363
0	8266	1291

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×	iter limit
1×	node limit

Compiler

Compiled 198 to 114 computations (42.4% saved)

preprocess61.0ms (0.5%)

Memory: -11.1MiB live, 64.5MiB allocated
Remove: (abs x)
Compiler: Compiled 218 to 106 computations (51.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample2.0s (17.7%)

preprocess59.0ms (0.5%)

explain174.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.3%)

localize98.0ms (0.9%)

series7.0ms (0.1%)

rewrite362.0ms (3.1%)

simplify500.0ms (4.3%)

eval81.0ms (0.7%)

prune100.0ms (0.9%)

simplify198.0ms (1.7%)

localize165.0ms (1.4%)

series18.0ms (0.2%)

rewrite430.0ms (3.7%)

simplify487.0ms (4.2%)

eval371.0ms (3.2%)

prune173.0ms (1.5%)

simplify198.0ms (1.7%)

localize180.0ms (1.6%)

series15.0ms (0.1%)

rewrite358.0ms (3.1%)

simplify478.0ms (4.2%)

eval586.0ms (5.1%)

prune484.0ms (4.2%)

simplify486.0ms (4.2%)

localize102.0ms (0.9%)

series8.0ms (0.1%)

rewrite420.0ms (3.7%)

simplify439.0ms (3.8%)

eval193.0ms (1.7%)

prune159.0ms (1.4%)

regimes41.0ms (0.4%)

regimes35.0ms (0.3%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch52.0ms (0.4%)

bsearch14.0ms (0.1%)

simplify7.0ms (0.1%)

soundness1.9s (16.1%)

preprocess61.0ms (0.5%)

end0.0ms (0%)

Profiling