Metrics for cos2 (problem 3.4.1)

analyze1.0ms (0%)

Memory

2.7MiB live, 2.7MiB 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 (16.7%)

Memory

42.0MiB live, 1 866.9MiB allocated

Samples

817.0ms	2 196×	2	valid
376.0ms	4 262×	0	valid
199.0ms	560×	3	valid
117.0ms	1 238×	1	valid

Precisions

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

ival-cos: 945.0ms (72.5% of total)

ival-sub: 105.0ms (8.1% of total)

ival-div: 96.0ms (7.4% of total)

adjust: 76.0ms (5.8% of total)

ival-mult: 64.0ms (4.9% of total)

exact: 9.0ms (0.7% of total)

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

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

Bogosity

preprocess74.0ms (0.7%)

Memory

-12.5MiB live, 110.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

explain148.0ms (1.4%)

Memory

-45.6MiB live, 211.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
63	1	(7.094569219877473e+20)	2	(4.9115691169205405e+194)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
59	0	-	2	(1.1600209552848316e-158)	`(/.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	62	6
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	54	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	54
↳	`(*.f64 x x)`	underflow	54
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	3	0
↳	`(*.f64 x x)`	overflow	80

Confusion

	Predicted +	Predicted -
+	117	0
-	2	137

Precision

0.9831932773109243

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	117	0	0
-	2	6	131

Precision?

0.936

Recall?

1.0

Freqs

test

number	freq
0	137
1	119

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms	132×	2	valid
23.0ms	290×	0	valid
10.0ms	30×	3	valid
10.0ms	60×	1	valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-cos: 41.0ms (64.5% of total)

ival-sub: 8.0ms (12.6% of total)

ival-div: 5.0ms (7.9% of total)

adjust: 4.0ms (6.3% of total)

ival-mult: 3.0ms (4.7% of total)

exact: 1.0ms (1.6% of total)

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

ival-true: 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

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify33.0ms (0.3%)

Memory

2.6MiB live, 41.0MiB 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)

localize49.0ms (0.5%)

Memory

17.1MiB live, 59.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	78.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	accuracy	78.8%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

17.0ms	66×	2	valid
11.0ms	145×	0	valid
8.0ms	15×	3	valid
3.0ms	30×	1	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-cos: 22.0ms (69.8% of total)

ival-div: 3.0ms (9.5% of total)

adjust: 2.0ms (6.3% of total)

ival-mult: 2.0ms (6.3% of total)

ival-sub: 2.0ms (6.3% of total)

exact: 0.0ms (0% of total)

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

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

series3.0ms (0%)

Memory

3.3MiB live, 3.3MiB 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)

rewrite302.0ms (2.8%)

Memory

15.2MiB live, 436.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 629

Calls

Call 1

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

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

simplify507.0ms (4.8%)

Memory

-3.6MiB live, 582.7MiB 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)

eval90.0ms (0.8%)

Memory: 7.1MiB live, 197.9MiB allocated
Compiler: Compiled 15 719 to 1 639 computations (89.6% saved)

prune95.0ms (0.9%)

Memory

26.1MiB live, 268.1MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

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

Accuracy

100.0%

Counts

678 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
	44.6%	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
	25.7%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
▶	57.7%	(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))
	36.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	57.6%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	13.1%	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
	17.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (*.f64 x x)))
	47.6%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	56.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	33.1%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
	56.8%	(/.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))
	77.9%	(/.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 x x))
▶	78.2%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
	56.7%	(-.f64 (/.f64 (/.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 x (.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 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 x (.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
▶	14.8%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (cos.f64 x))) (.f64 x (.f64 x (.f64 x x)))))
	57.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
▶	57.2%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))))
	57.7%	(*.f64 (pow.f64 (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
	57.7%	(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
	56.8%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
▶	45.8%	#s(literal 1/2 binary64)

Compiler

Compiled 671 to 360 computations (46.3% saved)

simplify248.0ms (2.3%)

Memory

-34.3MiB live, 261.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

4 488×	`lower-fma.f64`
4 488×	`lower-fma.f32`
3 892×	`lower-*.f32`
3 878×	`lower-*.f64`
1 866×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	165
0	47	142
1	91	136
2	237	132
3	751	129
4	1946	129
5	3349	129
6	4297	129
7	5706	129
8	7529	129
0	8018	129

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (1.3%)

Memory

10.0MiB live, 243.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 x (cos.f64 x))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	58.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (cos.f64 x))) (.f64 x (.f64 x (.f64 x x)))))
✓	accuracy	28.6%	(/.f64 (.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 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (cos.f64 x)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	58.2%	(+.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	99.9%	(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))
✓	accuracy	79.9%	(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
✓	accuracy	78.8%	(+.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	99.6%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	accuracy	78.9%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))

Samples

51.0ms	110×	1	valid
42.0ms	145×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 167 to 28 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-cos: 20.0ms (27.3% of total)

ival-div: 13.0ms (17.7% of total)

ival-mult: 13.0ms (17.7% of total)

ival-sin: 8.0ms (10.9% of total)

ival-tan: 5.0ms (6.8% of total)

adjust: 4.0ms (5.5% of total)

ival-sub: 3.0ms (4.1% of total)

ival-add: 3.0ms (4.1% of total)

ival-neg: 2.0ms (2.7% of total)

exact: 1.0ms (1.4% of total)

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

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

series11.0ms (0.1%)

Memory

23.7MiB live, 23.6MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))>
#<alt (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))>
#<alt (sin.f64 x)>
#<alt (tan.f64 (/.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))>
#<alt (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)>
#<alt (+.f64 (cos.f64 x) #s(literal -1 binary64))>
#<alt (cos.f64 x)>
#<alt (+.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 (*.f64 x x)>
#<alt (/.f64 (.f64 x (.f64 x (cos.f64 x))) (.f64 x (.f64 x (*.f64 x x))))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (cos.f64 x))) (.f64 x (.f64 x (.f64 x x)))))>
#<alt (*.f64 x (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 (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 (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1/2 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 (* -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 (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 (pow x 2))>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt 1/2>
#<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 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))>

Calls

45 calls:

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

rewrite386.0ms (3.6%)

Memory

-4.0MiB live, 304.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 202×	`lower-fma.f64`
5 202×	`lower-fma.f32`
3 664×	`lower-/.f32`
3 652×	`lower-/.f64`
3 180×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	115
0	46	96
1	172	90
2	1511	83
0	9138	83

Stop Event

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

Counts

15 → 1 070

Calls

Call 1

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

simplify1.0s (9.7%)

Memory

-3.2MiB live, 631.7MiB allocated

Algorithm

1×	egg-herbie

Rules

19 730×	`lower-fma.f64`
19 730×	`lower-fma.f32`
4 738×	`lower-*.f64`
4 738×	`lower-*.f32`
4 108×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	1468
1	330	1444
2	839	1424
3	2556	1420
4	5074	1420
5	6753	1416
0	8285	1342

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

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 (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)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1/2 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 (* -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))
(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 (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
1/2
(+ 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))
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))

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

eval226.0ms (2.1%)

Memory: 26.4MiB live, 479.8MiB allocated
Compiler: Compiled 33 114 to 2 194 computations (93.4% saved)

prune156.0ms (1.5%)

Memory

14.0MiB live, 420.1MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1 528	16	1 544
Fresh	7	9	16
Picked	4	1	5
Done	0	1	1
Total	1 539	27	1 566

Accuracy

100.0%

Counts

1 566 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.8%	(fma.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	56.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
▶	44.6%	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
▶	13.5%	(/.f64 (fma.f64 x (neg.f64 (.f64 x (cos.f64 x))) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))
	25.7%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
	57.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	24.6%	(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x) (neg.f64 x))
	57.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	57.6%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	13.1%	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
	17.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (*.f64 x x)))
	47.6%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	56.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	33.1%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
▶	99.8%	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x)
	57.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 x))
	47.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (fma.f64 (cos.f64 x) (neg.f64 x) x)))
	57.5%	(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
	1.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (.f64 x (*.f64 x x)))))
	3.4%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x #s(literal 1 binary64))) (.f64 x (.f64 x (.f64 x x)))))
▶	57.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	57.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x)))
	2.9%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	57.7%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
	78.9%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
▶	56.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	45.8%	#s(literal 1/2 binary64)

Compiler

Compiled 725 to 406 computations (44% saved)

simplify250.0ms (2.3%)

Memory

13.4MiB live, 250.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

3 992×	`lower-fma.f32`
3 988×	`lower-fma.f64`
3 118×	`lower-*.f32`
3 104×	`lower-*.f64`
2 198×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	158
0	46	143
1	89	135
2	181	134
3	379	134
4	820	134
5	2279	134
6	4243	134
7	6960	134
0	8045	134

Stop Event

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

Calls

Call 1

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

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

localize189.0ms (1.8%)

Memory

0.5MiB live, 282.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(*.f64 x (cos.f64 x))
✓	accuracy	79.8%	(fma.f64 x (neg.f64 (.f64 x (cos.f64 x))) (.f64 x x))
✓	accuracy	23.8%	(/.f64 (fma.f64 x (neg.f64 (.f64 x (cos.f64 x))) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	99.5%	(/.f64 (cos.f64 x) (*.f64 x x))
✓	accuracy	58.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	78.8%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	78.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(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 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x)
✓	accuracy	99.8%	(/.f64 (sin.f64 x) x)
✓	accuracy	99.6%	(.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))

Samples

62.0ms	65×	2	valid
44.0ms	144×	0	valid
23.0ms	16×	3	valid
12.0ms	31×	1	valid

Compiler

Compiled 160 to 28 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-cos: 30.0ms (27.8% of total)

ival-mult: 19.0ms (17.6% of total)

ival-sin: 13.0ms (12% of total)

ival-div: 11.0ms (10.2% of total)

ival-sub: 11.0ms (10.2% of total)

adjust: 8.0ms (7.4% of total)

ival-tan: 5.0ms (4.6% of total)

const: 4.0ms (3.7% of total)

ival-add: 4.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

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

series13.0ms (0.1%)

Memory

-15.4MiB live, 22.1MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x)>
#<alt (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))>
#<alt (/.f64 (sin.f64 x) x)>
#<alt (sin.f64 x)>
#<alt (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))>
#<alt (*.f64 x x)>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))>
#<alt (/.f64 (cos.f64 x) (*.f64 x x))>
#<alt (/.f64 (fma.f64 x (neg.f64 (.f64 x (cos.f64 x))) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))>
#<alt (fma.f64 x (neg.f64 (.f64 x (cos.f64 x))) (.f64 x x))>
#<alt (neg.f64 (*.f64 x (cos.f64 x)))>
#<alt (*.f64 x (cos.f64 x))>
#<alt (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 (* 1/2 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>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -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 (pow x 2))>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (* 1/2 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (cos x))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (pow x 2)) 1))>
#<alt (* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))>
#<alt (* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))>
#<alt (* -1 (* x (cos x)))>
#<alt (* -1 (* x (cos x)))>
#<alt (* -1 (* x (cos x)))>
#<alt (* -1 (* x (cos x)))>
#<alt (* -1 (* x (cos x)))>
#<alt (* -1 (* x (cos x)))>
#<alt (* -1 (* x (cos x)))>
#<alt (* -1 (* x (cos x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (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
5.0ms	x	@	0	(/ (sin x) x)
1.0ms	x	@	inf	(/ (+ (* x (neg (* x (cos x)))) (* x x)) (* x (* x (* x x))))
1.0ms	x	@	-inf	(/ (+ (* x (neg (* x (cos x)))) (* x x)) (* x (* x (* x x))))
1.0ms	x	@	-inf	(* (/ (sin x) x) (tan (* x 1/2)))
1.0ms	x	@	-inf	(/ (sin x) x)

rewrite369.0ms (3.5%)

Memory

-35.1MiB live, 582.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 336×	`lower-*.f32`
5 322×	`lower-*.f64`
4 736×	`lower-/.f32`
4 726×	`lower-/.f64`
3 694×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	116
0	46	103
1	179	95
2	1458	95
0	8468	94

Stop Event

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

Counts

17 → 1 414

Calls

Call 1

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

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

simplify401.0ms (3.8%)

Memory

27.9MiB live, 532.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 198×	`lower-fma.f64`
15 198×	`lower-fma.f32`
4 180×	`lower-*.f64`
4 180×	`lower-*.f32`
2 836×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	1513
1	300	1501
2	695	1495
3	2059	1495
4	4192	1495
5	5095	1491
0	8064	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))))
(* 1/2 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
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -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 (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* (pow x 2) (+ 1 (* -1 (cos x))))
(* -1 x)
(* 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))
(* -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 (cos x)))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(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 (.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)))
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x
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (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))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.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 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))

eval198.0ms (1.9%)

Memory: 42.4MiB live, 382.7MiB allocated
Compiler: Compiled 40 650 to 2 307 computations (94.3% saved)

prune185.0ms (1.7%)

Memory

3.2MiB live, 281.2MiB allocated

Pruning

31 alts after pruning (24 fresh and 7 done)

	Pruned	Kept	Total
New	1 834	9	1 843
Fresh	5	15	20
Picked	0	5	5
Done	0	2	2
Total	1 839	31	1 870

Accuracy

100.0%

Counts

1 870 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.4%	(fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))))
	48.8%	(fma.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	56.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
✓	44.6%	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
	1.9%	(/.f64 (fma.f64 x (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1 binary64))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
✓	13.5%	(/.f64 (fma.f64 x (neg.f64 (.f64 x (cos.f64 x))) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))
	2.2%	(/.f64 (fma.f64 x (neg.f64 x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
	25.7%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
	57.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	24.6%	(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x) (neg.f64 x))
	57.6%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	13.1%	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
	47.6%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	56.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	33.1%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
	13.2%	(/.f64 (.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (.f64 x (.f64 x (.f64 x x))))
✓	99.8%	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x)
	57.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
	57.5%	(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
▶	1.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (.f64 x (*.f64 x x)))))
	3.4%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x #s(literal 1 binary64))) (.f64 x (.f64 x (.f64 x x)))))
✓	57.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	57.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x)))
▶	56.8%	(.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (.f64 x x)) (/.f64 x (*.f64 x x)))
	57.7%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
▶	78.9%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
✓	56.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	23.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
▶	57.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	44.1%	(.f64 x (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (.f64 x (.f64 x (.f64 x x)))))
✓	45.8%	#s(literal 1/2 binary64)

Compiler

Compiled 801 to 430 computations (46.3% saved)

simplify215.0ms (2%)

Memory

-22.3MiB live, 314.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (cos.f64 x) (neg.f64 x) x)
✓	cost-diff	320	(/.f64 x (*.f64 x x))
✓	cost-diff	640	(/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (*.f64 x x))
✓	cost-diff	704	(.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (.f64 x x)) (/.f64 x (*.f64 x x)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	320	(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	cost-diff	704	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	1280	(/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	1920	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (.f64 x (*.f64 x x)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	1024	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 x x))
✓	cost-diff	0	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))

Rules

7 252×	`lower-fma.f32`
7 248×	`lower-fma.f64`
3 396×	`lower-*.f32`
3 376×	`lower-*.f64`
1 300×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	208
0	59	188
1	120	174
2	335	160
3	1040	158
4	2306	149
5	5384	149
0	8203	147

Stop Event

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

Calls

Call 1

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

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

localize208.0ms (2%)

Memory

20.1MiB live, 364.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (.f64 x x)) (/.f64 x (*.f64 x x)))
✓	accuracy	86.2%	(fma.f64 (cos.f64 x) (neg.f64 x) x)
✓	accuracy	57.8%	(/.f64 x (*.f64 x x))
✓	accuracy	56.1%	(/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (*.f64 x x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	86.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	84.5%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	72.0%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (.f64 x (*.f64 x x)))))
✓	accuracy	38.5%	(/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	86.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
✓	accuracy	100.0%	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.8%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
✓	accuracy	86.4%	(/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 x x))

Samples

52.0ms	145×	0	valid
43.0ms	35×	5	exit
36.0ms	46×	2	valid
13.0ms	29×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 214 to 34 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 27.0ms (23.9% of total)

ival-div: 21.0ms (18.6% of total)

ival-cos: 19.0ms (16.8% of total)

ival-add: 11.0ms (9.7% of total)

adjust: 10.0ms (8.9% of total)

ival-sin: 10.0ms (8.9% of total)

ival-tan: 6.0ms (5.3% of total)

ival-sub: 6.0ms (5.3% of total)

ival-neg: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series16.0ms (0.1%)

Memory

-13.1MiB live, 24.7MiB allocated

Counts

21 → 240

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))>
#<alt (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 x x))>
#<alt (tan.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (.f64 x (*.f64 x x)))))>
#<alt (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (.f64 x (.f64 x x))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))>
#<alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (.f64 x x)) (/.f64 x (*.f64 x x)))>
#<alt (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (*.f64 x x))>
#<alt (/.f64 x (*.f64 x x))>
#<alt (fma.f64 (cos.f64 x) (neg.f64 x) x)>
#<alt (sin.f64 x)>
#<alt (.f64 x (.f64 x 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 (/ (+ 1/2 (* 1/24 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)>
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (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 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>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))>
#<alt -1/2>
#<alt (- (/ 1 (pow x 2)) 1/2)>
#<alt (- (/ 1 (pow x 2)) 1/2)>
#<alt (- (/ 1 (pow x 2)) 1/2)>
#<alt -1/2>
#<alt (- (/ 1 (pow x 2)) 1/2)>
#<alt (- (/ 1 (pow x 2)) 1/2)>
#<alt (- (/ 1 (pow x 2)) 1/2)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 1/2 (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 (/ (- (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 (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (* -1 (/ (- (cos x) 1) x))>
#<alt (* -1 (/ (- (cos x) 1) x))>
#<alt (* -1 (/ (- (cos x) 1) x))>
#<alt (* -1 (/ (- (cos x) 1) x))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* -1 (* x (- (cos x) 1)))>
#<alt (* -1 (* x (- (cos x) 1)))>
#<alt (* -1 (* x (- (cos x) 1)))>
#<alt (* -1 (* x (- (cos x) 1)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<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

60 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(/ (* x (* x (+ (* (* x x) -1/2) 1))) (* x (* x (* x x))))
1.0ms	x	@	inf	(- (/ 1 (* x x)) (/ (* x (* x (+ (* (* x x) -1/2) 1))) (* x (* x (* x x)))))
0.0ms	x	@	-inf	(* (/ (+ (* (cos x) (neg x)) x) (* x x)) (/ x (* x x)))
0.0ms	x	@	inf	(* (/ (+ (* (cos x) (neg x)) x) (* x x)) (/ x (* x x)))
0.0ms	x	@	-inf	(* x 1/2)

rewrite493.0ms (4.6%)

Memory

-6.0MiB live, 519.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 194×	`lower-fma.f32`
6 190×	`lower-fma.f64`
4 690×	`lower-/.f32`
4 678×	`lower-/.f64`
3 558×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	154
0	59	136
1	216	116
2	1982	112
0	8675	112

Stop Event

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

Counts

21 → 897

Calls

Call 1

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

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

simplify417.0ms (3.9%)

Memory

-19.3MiB live, 604.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 236×	`lower-fma.f64`
13 236×	`lower-fma.f32`
4 716×	`lower-*.f64`
4 716×	`lower-*.f32`
2 520×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	1460
1	331	1454
2	799	1454
3	2185	1454
4	4902	1454
0	8214	1391

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 239

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

eval178.0ms (1.7%)

Memory: 25.7MiB live, 261.7MiB allocated
Compiler: Compiled 31 839 to 2 837 computations (91.1% saved)

prune199.0ms (1.9%)

Memory

6.0MiB live, 437.9MiB allocated

Pruning

48 alts after pruning (40 fresh and 8 done)

	Pruned	Kept	Total
New	1 412	25	1 437
Fresh	4	15	19
Picked	3	2	5
Done	1	6	7
Total	1 420	48	1 468

Accuracy

100.0%

Counts

1 468 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.0%	(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	17.4%	(fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))))
	48.8%	(fma.f64 (/.f64 (cos.f64 x) (.f64 x (.f64 x x))) (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	56.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
	3.9%	(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
✓	44.6%	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
✓	13.5%	(/.f64 (fma.f64 x (neg.f64 (.f64 x (cos.f64 x))) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))
	2.2%	(/.f64 (fma.f64 x (neg.f64 x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
	56.8%	(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x x))
	56.8%	(/.f64 (/.f64 (-.f64 (.f64 x (cos.f64 x)) x) x) (.f64 x (neg.f64 x)))
	57.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	24.6%	(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x) (neg.f64 x))
	56.7%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	57.6%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
	1.3%	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x)))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
	1.3%	(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x)))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
	1.9%	(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x))) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
	13.1%	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
	47.6%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	56.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	57.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
	57.5%	(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
	1.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (.f64 x (.f64 x x)))))
	1.9%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))))))
	1.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))))))
	1.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))))))
	1.9%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x))))))
	3.4%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x #s(literal 1 binary64))) (.f64 x (.f64 x (.f64 x x)))))
✓	57.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	1.8%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x)) (.f64 x (.f64 x x))))))
	2.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
	57.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x)))
	56.8%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x (.f64 x x)))
	57.7%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
✓	78.9%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
✓	56.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	23.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
	47.1%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) (sin.f64 x))
	1.3%	(.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
	1.5%	(.f64 (-.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))
	78.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
✓	57.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	22.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
	13.2%	(.f64 (.f64 (-.f64 (.f64 x (cos.f64 x)) x) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))))
	55.1%	(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 x x)))
	44.1%	(.f64 x (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (.f64 x (.f64 x (.f64 x x)))))
✓	45.8%	#s(literal 1/2 binary64)
	33.7%	#s(literal 0 binary64)

Compiler

Compiled 2 020 to 649 computations (67.9% saved)

regimes48.0ms (0.5%)

Memory

-13.0MiB live, 61.9MiB allocated

Counts

72 → 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 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x) (neg.f64 x))
(/.f64 (fma.f64 x (neg.f64 x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1 binary64))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x #s(literal 1 binary64))) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (-.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (.f64 x (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x)))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x))) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x)) (.f64 x (.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x)))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)) x)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 x (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))
(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x (.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (.f64 x (cos.f64 x)) x) x) (.f64 x (neg.f64 x)))
(.f64 x (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) x) (.f64 x (.f64 x (.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 x (.f64 x x)) (fma.f64 (cos.f64 x) (neg.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 #s(literal 1 binary64) (-.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 (-.f64 (.f64 x (cos.f64 x)) x) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (fma.f64 x (neg.f64 (.f64 x (cos.f64 x))) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (.f64 x x)) (/.f64 x (*.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))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.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))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (cos.f64 x))) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (cos.f64 x) (neg.f64 (.f64 x x))))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (pow.f64 (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) 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 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 x x))
(-.f64 (/.f64 (/.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 x (.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 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 x (.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))

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

Calls

2 calls:

26.0ms	x
19.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes50.0ms (0.5%)

Memory

4.5MiB live, 42.8MiB allocated

Counts

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

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

Calls

2 calls:

31.0ms	x
16.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.3%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes11.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes21.0ms (0.2%)

Memory

-53.5MiB live, 15.0MiB allocated

Counts

28 → 3

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

Outputs

#s(literal 1/2 binary64)

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

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

Calls

2 calls:

12.0ms	x
7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
77.5%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
77.8%	3	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
76.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

4.5MiB live, 4.5MiB 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
33.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
33.7%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch14.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.804615548201691e-5	341.5893538326575

Samples

7.0ms

144×

valid

Compiler

Compiled 174 to 127 computations (27% saved)

Precisions

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

ival-sub: 1.0ms (24.8% of total)

ival-div: 1.0ms (24.8% of total)

ival-cos: 1.0ms (24.8% of total)

ival-mult: 1.0ms (24.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Memory

-35.3MiB live, 2.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.804615548201691e-5	341.5893538326575

Compiler

Compiled 174 to 127 computations (27% saved)

bsearch32.0ms (0.3%)

Memory

24.1MiB live, 61.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.178759087544324e+152	8.030495011292188e+158
12.0ms	4.669643922270845e+57	4.795891018039142e+59

Samples

20.0ms

256×

valid

Compiler

Compiled 468 to 270 computations (42.3% saved)

Precisions

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

ival-cos: 10.0ms (65.5% of total)

ival-div: 2.0ms (13.1% of total)

ival-mult: 2.0ms (13.1% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Memory

-6.4MiB live, 27.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	9.465110525679806e+73	3.617712165275409e+75

Samples

11.0ms

112×

valid

Compiler

Compiled 54 to 52 computations (3.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 4.0ms (44.1% of total)

ival-mult: 4.0ms (44.1% of total)

ival-sub: 1.0ms (11% of total)

ival-div: 1.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

26.6MiB live, 26.6MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`neg-mul-1_binary64`
30×	`unsub-neg_binary64`
26×	`*-commutative_binary64`
24×	`distribute-lft-neg-in_binary64`
24×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	89
1	54	89
2	65	89
3	81	89
4	100	89
5	108	89
6	113	89
7	136	89
8	172	89

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x)
(if (<=.f64 x #s(literal 3112888062438487/576460752303423488 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3112888062438487/576460752303423488 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 13999999999999998934607970982546293872919537791813956927488 binary64)) #s(literal 1/2 binary64) (if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x #s(literal 1 binary64))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 3599999999999999976583918874180857455926005425892474772475976178628229595136 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) x)
(if (<=.f64 x #s(literal 3112888062438487/576460752303423488 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3112888062438487/576460752303423488 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 13999999999999998934607970982546293872919537791813956927488 binary64)) #s(literal 1/2 binary64) (if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x #s(literal 1 binary64))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 13999999999999998934607970982546293872919537791813956927488 binary64)) #s(literal 1/2 binary64) (if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 x x)))))
(if (<=.f64 x #s(literal 3599999999999999976583918874180857455926005425892474772475976178628229595136 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.8s (16.8%)

Memory

-13.3MiB live, 1 215.2MiB allocated

Rules

19 730×	`lower-fma.f64`
19 730×	`lower-fma.f32`
16 752×	`lower-fma.f64`
16 752×	`lower-fma.f32`
13 236×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	1460
1	331	1454
2	799	1454
3	2185	1454
4	4902	1454
0	8214	1391
0	42	284
1	105	284
2	258	284
3	609	284
4	1279	284
5	2001	284
6	2304	284
7	3158	284
8	4639	284
9	6288	284
10	7157	284
11	7373	284
12	7391	284
13	7393	284
14	7798	284
0	8007	266
0	123	1468
1	330	1444
2	839	1424
3	2556	1420
4	5074	1420
5	6753	1416
0	8285	1342
0	30	154
0	59	136
1	216	116
2	1982	112
0	8675	112
0	25	115
0	46	96
1	172	90
2	1511	83
0	9138	83
0	6	17
0	10	17
1	40	17
2	268	17
3	2810	17
0	9656	17
0	24	116
0	46	103
1	179	95
2	1458	95
0	8468	94

Stop Event

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

Compiler

Compiled 205 to 112 computations (45.4% saved)

preprocess45.0ms (0.4%)

Memory: -7.3MiB live, 110.5MiB allocated
Remove: (abs x)
Compiler: Compiled 222 to 104 computations (53.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample1.8s (16.7%)

preprocess74.0ms (0.7%)

explain148.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.3%)

localize49.0ms (0.5%)

series3.0ms (0%)

rewrite302.0ms (2.8%)

simplify507.0ms (4.8%)

eval90.0ms (0.8%)

prune95.0ms (0.9%)

simplify248.0ms (2.3%)

localize134.0ms (1.3%)

series11.0ms (0.1%)

rewrite386.0ms (3.6%)

simplify1.0s (9.7%)

eval226.0ms (2.1%)

prune156.0ms (1.5%)

simplify250.0ms (2.3%)

localize189.0ms (1.8%)

series13.0ms (0.1%)

rewrite369.0ms (3.5%)

simplify401.0ms (3.8%)

eval198.0ms (1.9%)

prune185.0ms (1.7%)

simplify215.0ms (2%)

localize208.0ms (2%)

series16.0ms (0.1%)

rewrite493.0ms (4.6%)

simplify417.0ms (3.9%)

eval178.0ms (1.7%)

prune199.0ms (1.9%)

regimes48.0ms (0.5%)

regimes50.0ms (0.5%)

regimes11.0ms (0.1%)

regimes21.0ms (0.2%)

regimes5.0ms (0%)

regimes3.0ms (0%)

bsearch14.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch32.0ms (0.3%)

bsearch16.0ms (0.2%)

simplify10.0ms (0.1%)

soundness1.8s (16.8%)

preprocess45.0ms (0.4%)

end0.0ms (0%)

Profiling