Metrics for cos2 (problem 3.4.1)

analyze1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.8s (14.9%)

Memory

-28.2MiB live, 1 931.4MiB allocated

Samples

611.0ms	2 266×	2	valid
569.0ms	4 184×	0	valid
197.0ms	555×	3	valid
137.0ms	1 251×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-cos: 720.0ms (54.6% of total)

ival-mult: 292.0ms (22.1% of total)

ival-div: 104.0ms (7.9% of total)

adjust: 95.0ms (7.2% of total)

ival-sub: 94.0ms (7.1% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

preprocess61.0ms (0.5%)

Memory

31.0MiB live, 67.7MiB 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)

explain147.0ms (1.2%)

Memory

6.0MiB live, 164.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
77	1	(8.840481973457233e+192)	1	(5.8790638600984535e+131)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
55	0	-	3	(2.9215424804225436e-155)	`(/.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	8
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	49	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	49
↳	`(*.f64 x x)`	underflow	49
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	3	0
↳	`(*.f64 x x)`	overflow	69

Confusion

	Predicted +	Predicted -
+	126	2
-	3	125

Precision

0.9767441860465116

Recall

0.984375

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	2	0
-	3	6	119

Precision?

0.9343065693430657

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms	142×	2	valid
34.0ms	286×	0	valid
19.0ms	16×	3	valid
7.0ms	68×	1	valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-cos: 62.0ms (74.5% of total)

adjust: 5.0ms (6% of total)

ival-div: 5.0ms (6% of total)

ival-mult: 5.0ms (6% of total)

ival-sub: 5.0ms (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
▶	55.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify31.0ms (0.3%)

Memory

-11.1MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (0.5%)

Memory

52.6MiB live, 128.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	80.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	accuracy	75.8%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

20.0ms	71×	2	valid
15.0ms	34×	1	valid
12.0ms	143×	0	valid
11.0ms	8×	3	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-cos: 29.0ms (73.9% of total)

ival-div: 4.0ms (10.2% of total)

adjust: 2.0ms (5.1% of total)

ival-mult: 2.0ms (5.1% of total)

ival-sub: 2.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

11.8MiB live, 11.8MiB 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
1.0ms	x	@	inf	(/ (- 1 (cos x)) (* x x))
0.0ms	x	@	inf	(* x x)
0.0ms	x	@	-inf	(/ (- 1 (cos x)) (* x x))
0.0ms	x	@	0	(/ (- 1 (cos x)) (* x x))
0.0ms	x	@	0	(cos x)

rewrite423.0ms (3.5%)

Memory

-32.3MiB live, 493.2MiB 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)

simplify516.0ms (4.2%)

Memory

-5.1MiB live, 638.7MiB 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)

eval82.0ms (0.7%)

Memory: 5.1MiB live, 191.7MiB allocated
Compiler: Compiled 15 719 to 1 639 computations (89.6% saved)

prune136.0ms (1.1%)

Memory

-9.9MiB live, 300.4MiB allocated

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	653	24	677
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	653	25	678

Accuracy

100.0%

Counts

678 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
	54.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x))))
	47.0%	(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))
	46.5%	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
	28.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
▶	56.3%	(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))
	32.7%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	56.2%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	17.4%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
▶	17.3%	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
	21.7%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (*.f64 x x)))
	47.2%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	55.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	28.5%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
	55.0%	(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
	55.0%	(/.f64 (.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 x x))
	79.4%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
▶	17.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x))))))
	54.9%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
	55.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	55.5%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))))
▶	80.0%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	54.9%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
	79.9%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
▶	47.4%	#s(literal 1/2 binary64)

Compiler

Compiled 683 to 398 computations (41.7% saved)

simplify313.0ms (2.6%)

Memory

-10.9MiB live, 266.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	320	(-.f64 (.f64 x x) (.f64 x (*.f64 x (cos.f64 x))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x))))))
✓	cost-diff	1280	(/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))))
✓	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	(cos.f64 x)
✓	cost-diff	0	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
✓	cost-diff	512	(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))
✓	cost-diff	0	(*.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

4 474×	`lower-fma.f64`
4 474×	`lower-fma.f32`
3 100×	`lower-*.f32`
3 088×	`lower-*.f64`
1 876×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	190
0	43	154
1	80	148
2	227	148
3	781	141
4	2245	141
5	4171	141
6	7735	141
0	8096	141

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

localize154.0ms (1.3%)

Memory

5.5MiB live, 290.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 x (cos.f64 x))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x))))))
✓	accuracy	78.1%	(-.f64 (.f64 x x) (.f64 x (*.f64 x (cos.f64 x))))
✓	accuracy	35.8%	(/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(*.f64 x (cos.f64 x))
✓	accuracy	78.1%	(-.f64 (.f64 x x) (.f64 x (*.f64 x (cos.f64 x))))
✓	accuracy	30.7%	(/.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	99.9%	(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))
✓	accuracy	81.4%	(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
✓	accuracy	75.8%	(+.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	80.7%	(/.f64 (sin.f64 x) (*.f64 x x))

Samples

46.0ms	144×	0	valid
42.0ms	68×	2	valid
14.0ms	8×	3	valid
12.0ms	36×	1	valid

Compiler

Compiled 192 to 26 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-div: 21.0ms (24% of total)

ival-cos: 21.0ms (24% of total)

ival-mult: 19.0ms (21.7% of total)

ival-tan: 8.0ms (9.1% of total)

ival-sin: 7.0ms (8% of total)

adjust: 6.0ms (6.9% of total)

ival-sub: 2.0ms (2.3% of total)

ival-add: 2.0ms (2.3% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series20.0ms (0.2%)

Memory

-16.4MiB live, 26.7MiB allocated

Counts

17 → 204

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 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))>
#<alt (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)>
#<alt (+.f64 (cos.f64 x) #s(literal -1 binary64))>
#<alt (cos.f64 x)>
#<alt (/.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 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x))))))>
#<alt (.f64 x (.f64 x (*.f64 x x)))>
#<alt (tan.f64 (/.f64 x #s(literal 2 binary64)))>
#<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 (* -1/2 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1/2>
#<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 2>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))>
#<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 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 (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)>
#<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 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

51 calls:

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

rewrite367.0ms (3%)

Memory

9.2MiB live, 488.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 580×	`lower-*.f32`
4 568×	`lower-*.f64`
4 300×	`lower-/.f32`
4 286×	`lower-/.f64`
3 600×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	135
0	42	115
1	151	107
2	1026	100
0	8904	100

Stop Event

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

Counts

17 → 1 362

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

simplify503.0ms (4.1%)

Memory

8.5MiB live, 644.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 410×	`lower-fma.f64`
13 410×	`lower-fma.f32`
4 606×	`lower-*.f64`
4 606×	`lower-*.f32`
3 430×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	1534
1	372	1492
2	922	1492
3	2935	1492
4	3958	1492
5	5097	1492
6	7494	1492
0	8540	1408

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

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

eval345.0ms (2.8%)

Memory: 19.0MiB live, 508.1MiB allocated
Compiler: Compiled 54 534 to 3 660 computations (93.3% saved)

prune453.0ms (3.7%)

Memory

-8.9MiB live, 597.2MiB allocated

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	2 006	24	2 030
Fresh	10	9	19
Picked	4	1	5
Done	0	1	1
Total	2 020	35	2 055

Accuracy

100.0%

Counts

2 055 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x))))
	54.8%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (.f64 x x)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (*.f64 x x))))
	55.5%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	18.9%	(fma.f64 (.f64 x (.f64 x (cos.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	18.8%	(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)))
	48.0%	(fma.f64 (.f64 x (cos.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	47.0%	(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))
	48.1%	(fma.f64 (neg.f64 x) (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	46.5%	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
	17.7%	(/.f64 (fma.f64 x x (.f64 (cos.f64 x) (.f64 x (neg.f64 x)))) (.f64 x (.f64 x (*.f64 x x))))
	28.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
	54.9%	(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x x)) x)
	56.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	80.7%	(/.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x) x)
	56.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 x))
	56.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x)))
	17.3%	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x)))
	47.2%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	55.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	28.5%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
	56.2%	(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
	79.4%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))
▶	99.1%	(/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (sin.f64 x)) x))
	76.3%	(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
▶	54.9%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	54.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x x) (-.f64 x (*.f64 x (cos.f64 x)))) x))
	54.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x (neg.f64 x))))
	55.6%	(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
	55.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
▶	55.5%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))))
	54.8%	(.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	80.0%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
	56.1%	(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 x (.f64 x (cos.f64 x))))))
	54.9%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	47.4%	#s(literal 1/2 binary64)

Compiler

Compiled 943 to 552 computations (41.5% saved)

simplify157.0ms (1.3%)

Memory

23.5MiB live, 135.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x)))
✓	cost-diff	1728	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x))))
✓	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)) (neg.f64 (cos.f64 x)))
✓	cost-diff	1152	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 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 (/.f64 x (sin.f64 x)) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	384	(/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (sin.f64 x)) x))

Rules

1 380×	`unsub-neg`
1 160×	`lower-fma.f32`
1 156×	`lower-fma.f64`
976×	`lower-*.f32`
968×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	155
0	42	144
1	72	140
2	125	134
3	255	134
4	344	134
5	457	134
6	758	134
7	1016	134
8	1686	134
9	2794	134
10	4452	134
11	4746	134
12	4820	134
13	4869	134
14	4882	134
15	4884	134
16	4884	134
17	4888	134
0	4888	134

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize244.0ms (2%)

Memory

21.8MiB live, 331.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x)))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	55.5%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x))))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x)))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	56.8%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	accuracy	80.8%	(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	75.8%	(-.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 x (sin.f64 x)) x)
✓	accuracy	99.8%	(/.f64 x (sin.f64 x))
✓	accuracy	99.1%	(/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (sin.f64 x)) x))

Samples

115.0ms	142×	0	valid
73.0ms	114×	1	valid

Compiler

Compiled 159 to 26 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-mult: 89.0ms (53.7% of total)

ival-cos: 19.0ms (11.5% of total)

ival-div: 15.0ms (9.1% of total)

ival-sub: 15.0ms (9.1% of total)

ival-tan: 6.0ms (3.6% of total)

adjust: 5.0ms (3% of total)

ival-add: 5.0ms (3% of total)

ival-sin: 5.0ms (3% of total)

const: 4.0ms (2.4% of total)

ival-neg: 2.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

-22.3MiB live, 22.3MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (sin.f64 x)) x))>
#<alt (tan.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (*.f64 (/.f64 x (sin.f64 x)) x)>
#<alt (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 x (sin.f64 x))>
#<alt (sin.f64 x)>
#<alt (cos.f64 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) (+ 1/24 (* 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 x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))))>
#<alt (/ (pow x 2) (sin x))>
#<alt (/ (pow x 2) (sin x))>
#<alt (/ (pow x 2) (sin x))>
#<alt (/ (pow x 2) (sin x))>
#<alt (/ (pow x 2) (sin x))>
#<alt (/ (pow x 2) (sin x))>
#<alt (/ (pow x 2) (sin x))>
#<alt (/ (pow x 2) (sin 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 2>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))>
#<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 (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (+ 1 (* -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 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) (+ 1/6 (* 7/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))>
#<alt (/ x (sin x))>
#<alt (/ x (sin x))>
#<alt (/ x (sin x))>
#<alt (/ x (sin x))>
#<alt (/ x (sin x))>
#<alt (/ x (sin x))>
#<alt (/ x (sin x))>
#<alt (/ x (sin 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>
#<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)>

Calls

51 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(+ (* -1/24 (* x x)) 1/2)
1.0ms	x	@	-inf	(/ x (sin x))
0.0ms	x	@	inf	(+ (/ 1 (* x x)) (* (/ 1 (* x x)) (neg (cos x))))
0.0ms	x	@	inf	(* (/ x (sin x)) x)
0.0ms	x	@	inf	(/ x (sin x))

rewrite287.0ms (2.3%)

Memory

-9.4MiB live, 558.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 930×	`lower-fma.f32`
4 926×	`lower-fma.f64`
3 702×	`lower-*.f32`
3 694×	`lower-*.f64`
3 584×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	111
0	42	100
1	152	90
2	1112	90
0	8620	90

Stop Event

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

Counts

17 → 1 122

Calls

Call 1

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

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

simplify517.0ms (4.2%)

Memory

6.5MiB live, 567.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 698×	`lower-fma.f64`
16 698×	`lower-fma.f32`
4 536×	`lower-*.f64`
4 536×	`lower-*.f32`
3 842×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	1430
1	370	1430
2	993	1408
3	2945	1406
4	5403	1406
5	7221	1406
0	8324	1328

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

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) (+ 1/24 (* 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)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))))
(/ (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) (sin 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))
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))
(/ (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)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -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 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) (+ 1/6 (* 7/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))
(/ x (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 (+ 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
(+ 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)

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 (.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 x (.f64 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))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(/ (pow x 2) (sin x))
(/.f64 (*.f64 x x) (sin.f64 x))
(/ (pow x 2) (sin x))
(/.f64 (*.f64 x x) (sin.f64 x))
(/ (pow x 2) (sin x))
(/.f64 (*.f64 x x) (sin.f64 x))
(/ (pow x 2) (sin x))
(/.f64 (*.f64 x x) (sin.f64 x))
(/ (pow x 2) (sin x))
(/.f64 (*.f64 x x) (sin.f64 x))
(/ (pow x 2) (sin x))
(/.f64 (*.f64 x x) (sin.f64 x))
(/ (pow x 2) (sin x))
(/.f64 (*.f64 x x) (sin.f64 x))
(/ (pow x 2) (sin x))
(/.f64 (*.f64 x x) (sin.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 (* -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 (.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 x (.f64 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))
2
#s(literal 2 binary64)
(+ 2 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 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))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))
(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))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (.f64 x (fma.f64 #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 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 x (.f64 x (fma.f64 x (.f64 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))
1/2
#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 (.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 x (.f64 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 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(fma.f64 #s(literal -1/24 binary64) (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(+.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (.f64 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 x (.f64 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 (* -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 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) (+ 1/6 (* 7/360 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(/ x (sin x))
(/.f64 x (sin.f64 x))
(/ x (sin x))
(/.f64 x (sin.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 (.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 (.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
#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 (.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)

eval541.0ms (4.4%)

Memory: 9.2MiB live, 305.6MiB allocated
Compiler: Compiled 31 251 to 2 149 computations (93.1% saved)

prune819.0ms (6.7%)

Memory

-18.0MiB live, 305.8MiB allocated

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	1 658	14	1 672
Fresh	7	21	28
Picked	2	3	5
Done	0	2	2
Total	1 667	40	1 707

Accuracy

100.0%

Counts

1 707 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.5%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	55.6%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x))
	29.4%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	54.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (cos.f64 x)))
	54.8%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (.f64 x x)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (*.f64 x x))))
	18.9%	(fma.f64 (.f64 x (.f64 x (cos.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	18.8%	(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)))
	48.0%	(fma.f64 (.f64 x (cos.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	47.0%	(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))
	48.1%	(fma.f64 (neg.f64 x) (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	46.5%	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
	21.3%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (neg.f64 x)) (.f64 x (cos.f64 x))) (.f64 x (.f64 x (neg.f64 x))))
	55.3%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (.f64 x (neg.f64 (/.f64 (cos.f64 x) x)))) (.f64 x x))
	21.9%	(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (.f64 x x) x) (.f64 x (*.f64 x x)))
▶	55.2%	(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
	47.3%	(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (.f64 x (.f64 x x)))
	17.7%	(/.f64 (fma.f64 x x (.f64 (cos.f64 x) (.f64 x (neg.f64 x)))) (.f64 x (.f64 x (*.f64 x x))))
	28.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
	54.9%	(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x x)) x)
	56.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	80.7%	(/.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x) x)
	56.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 x))
▶	17.4%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
	47.2%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	55.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	28.5%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
	56.2%	(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
✓	99.1%	(/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (sin.f64 x)) x))
	76.3%	(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
✓	54.9%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	54.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x x) (-.f64 x (*.f64 x (cos.f64 x)))) x))
▶	55.6%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	55.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	55.5%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x)))
	54.8%	(.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	80.0%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
	80.0%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
	54.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	56.1%	(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 x (.f64 x (cos.f64 x))))))
✓	47.4%	#s(literal 1/2 binary64)

Compiler

Compiled 1 077 to 612 computations (43.2% saved)

simplify266.0ms (2.2%)

Memory

-3.9MiB live, 345.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 (/.f64 (cos.f64 x) x))
✓	cost-diff	0	(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
✓	cost-diff	1024	(*.f64 x (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	1024	(fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(.f64 (.f64 x x) (cos.f64 x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	320	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
✓	cost-diff	1280	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.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 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.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	(sin.f64 x)
✓	cost-diff	0	(.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x)
✓	cost-diff	384	(/.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x) x)

Rules

4 966×	`lower-*.f32`
4 954×	`lower-*.f64`
4 012×	`lower-fma.f32`
4 010×	`lower-fma.f64`
1 808×	`lower-neg.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	180
0	53	150
1	101	146
2	221	144
3	714	138
4	1489	138
5	3060	138
6	4851	138
0	8060	138

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (0.9%)

Memory

-17.4MiB live, 231.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 x (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(/.f64 (cos.f64 x) x)
✓	accuracy	99.1%	(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
✓	accuracy	98.4%	(fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.9%	(.f64 (.f64 x x) (cos.f64 x))
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	88.8%	(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
✓	accuracy	62.1%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
✓	accuracy	99.9%	(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
✓	accuracy	99.8%	(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
✓	accuracy	98.5%	(-.f64 #s(literal 1 binary64) (cos.f64 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	100.0%	(sin.f64 x)
✓	accuracy	99.9%	(/.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x) x)
✓	accuracy	99.8%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x)
✓	accuracy	99.6%	(.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))

Samples

41.0ms	143×	0	valid
33.0ms	113×	1	exit

Compiler

Compiled 188 to 30 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 16.0ms (27.4% of total)

ival-div: 13.0ms (22.3% of total)

ival-sin: 8.0ms (13.7% of total)

adjust: 5.0ms (8.6% of total)

ival-tan: 5.0ms (8.6% of total)

ival-cos: 5.0ms (8.6% of total)

ival-sub: 3.0ms (5.1% of total)

ival-add: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

20 → 228

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x) x)>
#<alt (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x)>
#<alt (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))>
#<alt (sin.f64 x)>
#<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 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))>
#<alt (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)>
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))>
#<alt (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))>
#<alt (.f64 (.f64 x x) (cos.f64 x))>
#<alt (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x (*.f64 x (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))>
#<alt (neg.f64 (/.f64 (cos.f64 x) x))>
#<alt (.f64 (.f64 x x) (*.f64 x x))>
#<alt (/.f64 (cos.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 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt 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 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 (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 2>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))>
#<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 (/ 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 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (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 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -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 (/ (- (* 1/2 (pow x 2)) 1) x)>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (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)>
#<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)>

Calls

57 calls:

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

rewrite523.0ms (4.3%)

Memory

14.5MiB live, 729.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 878×	`lower-fma.f32`
6 876×	`lower-fma.f64`
4 904×	`lower-*.f32`
4 892×	`lower-*.f64`
2 940×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	149
0	53	118
1	197	108
2	1260	106
0	9506	105

Stop Event

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

Counts

20 → 1 865

Calls

Call 1

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

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

simplify397.0ms (3.2%)

Memory

2.2MiB live, 746.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 296×	`lower-fma.f64`
14 296×	`lower-fma.f32`
4 668×	`lower-*.f64`
4 668×	`lower-*.f32`
3 048×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1716
1	333	1716
2	790	1704
3	2457	1698
4	4594	1698
5	6786	1696
0	8204	1607

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

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.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 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 x (fma.f64 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 (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 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 x (.f64 x (fma.f64 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))) (cos (* 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
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eval309.0ms (2.5%)

Memory: 13.2MiB live, 527.2MiB allocated
Compiler: Compiled 53 162 to 3 534 computations (93.4% saved)

prune255.0ms (2.1%)

Memory

-8.3MiB live, 478.1MiB allocated

Pruning

43 alts after pruning (35 fresh and 8 done)

	Pruned	Kept	Total
New	2 267	10	2 277
Fresh	5	25	30
Picked	2	3	5
Done	0	5	5
Total	2 274	43	2 317

Accuracy

100.0%

Counts

2 317 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.1%	(fma.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	55.5%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	55.6%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x))
	29.4%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	54.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (cos.f64 x)))
	48.0%	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (.f64 x (cos.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	54.8%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (.f64 x x)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (*.f64 x x))))
	18.9%	(fma.f64 (.f64 (.f64 x x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	18.8%	(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)))
	47.0%	(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))
✓	46.5%	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
	55.4%	(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x))
	55.3%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (.f64 x (neg.f64 (/.f64 (cos.f64 x) x)))) (.f64 x x))
	55.3%	(/.f64 (fma.f64 (.f64 x (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 x x))
	21.9%	(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (.f64 x x) x) (.f64 x (*.f64 x x)))
	47.3%	(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (.f64 x (.f64 x x)))
	17.7%	(/.f64 (fma.f64 x x (.f64 (cos.f64 x) (.f64 x (neg.f64 x)))) (.f64 x (.f64 x (*.f64 x x))))
	16.5%	(/.f64 (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
	28.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
	54.9%	(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x x)) x)
	56.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	80.7%	(/.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x) x)
	56.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 x))
✓	17.4%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
	47.2%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	55.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	56.2%	(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
✓	99.1%	(/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (sin.f64 x)) x))
	76.3%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))
	76.3%	(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
✓	54.9%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	54.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x x) (-.f64 x (*.f64 x (cos.f64 x)))) x))
✓	55.6%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	55.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	55.5%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x)))
	54.8%	(.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	80.0%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
	54.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	56.1%	(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 x (.f64 x (cos.f64 x))))))
	55.6%	(*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
	47.2%	(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x (*.f64 x x)))))
✓	47.4%	#s(literal 1/2 binary64)
	29.1%	#s(literal 0 binary64)

Compiler

Compiled 1 590 to 529 computations (66.7% saved)

regimes48.0ms (0.4%)

Memory

5.0MiB live, 113.0MiB allocated

Counts

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

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

Calls

2 calls:

24.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
21.0ms	x

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes45.0ms (0.4%)

Memory

9.8MiB live, 90.0MiB allocated

Counts

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

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

Calls

2 calls:

22.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
20.0ms	x

Results

Accuracy	Segments	Branch
99.4%	2	`x`
98.6%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes10.0ms (0.1%)

Memory

-17.8MiB live, 21.2MiB allocated

Counts

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

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

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

12 → 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 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.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 (*.f64 x 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))
(fma.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

Outputs
(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

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Memory

-23.5MiB live, 15.8MiB allocated

Counts

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

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

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
76.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
76.3%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

5 → 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 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 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:

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

Results

Accuracy	Segments	Branch
76.3%	1	`x`
76.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

4 → 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 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.9%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
73.3%	2	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory

-35.9MiB live, 5.8MiB 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
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 0 binary64)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
73.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
73.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

7.5MiB live, 7.4MiB 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
29.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
29.1%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch14.0ms (0.1%)

Memory

-10.0MiB live, 28.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.0017222593873631952	22.25410316641974

Samples

6.0ms

128×

valid

Compiler

Compiled 220 to 154 computations (30% saved)

Precisions

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

ival-sub: 1.0ms (26.3% of total)

ival-div: 1.0ms (26.3% of total)

ival-cos: 1.0ms (26.3% of total)

ival-mult: 1.0ms (26.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0017222593873631952	22.25410316641974

Compiler

Compiled 212 to 138 computations (34.9% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0017222593873631952	22.25410316641974

Compiler

Compiled 196 to 130 computations (33.7% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0017222593873631952	22.25410316641974

Compiler

Compiled 196 to 130 computations (33.7% saved)

bsearch13.0ms (0.1%)

Memory

29.3MiB live, 29.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0017222593873631952	22.25410316641974

Samples

8.0ms

112×

valid

Compiler

Compiled 148 to 106 computations (28.4% saved)

Precisions

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

ival-cos: 4.0ms (71.4% of total)

ival-sub: 1.0ms (17.8% of total)

ival-div: 1.0ms (17.8% of total)

ival-mult: 1.0ms (17.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

-36.2MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.0017222593873631952	22.25410316641974

Compiler

Compiled 100 to 82 computations (18% saved)

bsearch9.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6.276403846490537e+76	2.510256743050428e+77

Samples

6.0ms

80×

valid

Compiler

Compiled 42 to 40 computations (4.8% saved)

Precisions

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

ival-cos: 3.0ms (74% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
22×	`+-commutative_binary64`
20×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	159
1	67	159
2	79	158
3	94	158
4	103	158
5	111	158
6	118	158
7	120	158
8	121	158

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (sin.f64 x)) x))
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 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) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 x)))
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 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 (cos.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 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 1152921504606847/36028797018963968 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 (*.f64 x 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)))
(if (<=.f64 x #s(literal 7/2 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x)))
(if (<=.f64 x #s(literal 7/2 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x (sin.f64 x)) x))
(/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 x (/.f64 x (sin.f64 x))))
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 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) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 x)))
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 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) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) x))
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 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 (cos.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 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 1152921504606847/36028797018963968 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 (*.f64 x 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)))
(if (<=.f64 x #s(literal 7/2 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x)))
(if (<=.f64 x #s(literal 7/2 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x x)))
(if (<=.f64 x #s(literal 7/2 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness2.1s (16.8%)

Memory

6.7MiB live, 1 157.8MiB allocated

Rules

16 752×	`lower-fma.f64`
16 752×	`lower-fma.f32`
14 296×	`lower-fma.f64`
14 296×	`lower-fma.f32`
13 410×	`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	6	17
0	10	17
1	40	17
2	268	17
3	2810	17
0	9656	17
0	121	1716
1	333	1716
2	790	1704
3	2457	1698
4	4594	1698
5	6786	1696
0	8204	1607
0	27	149
0	53	118
1	197	108
2	1260	106
0	9506	105
0	22	111
0	42	100
1	152	90
2	1112	90
0	8620	90
0	23	135
0	42	115
1	151	107
2	1026	100
0	8904	100
0	133	1534
1	372	1492
2	922	1492
3	2935	1492
4	3958	1492
5	5097	1492
6	7494	1492
0	8540	1408

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

Compiler

Compiled 369 to 189 computations (48.8% saved)

preprocess102.0ms (0.8%)

Memory: 24.9MiB live, 174.4MiB allocated
Compiler: Compiled 440 to 178 computations (59.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample1.8s (14.9%)

preprocess61.0ms (0.5%)

explain147.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.3%)

localize67.0ms (0.5%)

series3.0ms (0%)

rewrite423.0ms (3.5%)

simplify516.0ms (4.2%)

eval82.0ms (0.7%)

prune136.0ms (1.1%)

simplify313.0ms (2.6%)

localize154.0ms (1.3%)

series20.0ms (0.2%)

rewrite367.0ms (3%)

simplify503.0ms (4.1%)

eval345.0ms (2.8%)

prune453.0ms (3.7%)

simplify157.0ms (1.3%)

localize244.0ms (2%)

series13.0ms (0.1%)

rewrite287.0ms (2.3%)

simplify517.0ms (4.2%)

eval541.0ms (4.4%)

prune819.0ms (6.7%)

simplify266.0ms (2.2%)

localize112.0ms (0.9%)

series10.0ms (0.1%)

rewrite523.0ms (4.3%)

simplify397.0ms (3.2%)

eval309.0ms (2.5%)

prune255.0ms (2.1%)

regimes48.0ms (0.4%)

regimes45.0ms (0.4%)

regimes10.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch13.0ms (0.1%)

bsearch2.0ms (0%)

bsearch9.0ms (0.1%)

simplify10.0ms (0.1%)

soundness2.1s (16.8%)

preprocess102.0ms (0.8%)

end0.0ms (0%)

Profiling