Metrics for cos2 (problem 3.4.1)

analyze7.0ms (0.1%)

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 7 computations (30% saved)

Precisions

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

ival-cos: 4.0ms (78% of total)

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.9s (19.7%)

Results

918.0ms	2061×	2	valid
394.0ms	4222×	0	valid
356.0ms	1973×	1	valid

Precisions

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

ival-cos: 857.0ms (65.9% of total)

ival-mult: 121.0ms (9.3% of total)

ival-div: 110.0ms (8.5% of total)

ival-sub: 102.0ms (7.8% of total)

backward-pass: 94.0ms (7.2% of total)

const: 17.0ms (1.3% of total)

Bogosity

preprocess109.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1096×	`fnmadd-define`
1018×	`sum3-define`
1016×	`fma-define`
936×	`sum5-define`
904×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	40	22
2	113	21
3	311	21
4	845	21
5	1951	21
6	3654	21
7	3863	21
0	6	7
1	16	7
2	28	7
3	46	7
4	85	7
5	145	7
6	236	7
7	465	7
8	1142	7
9	2534	7
10	4043	7
11	4063	7
0	4063	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs x)

explain167.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
77	1	(5.697560248063269e+191)	0	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
64	0	-	3	(2.2153975778889848e-161)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	0	-	0	-	`x`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`

Results

67.0ms	124×	2	valid
35.0ms	132×	1	valid
34.0ms	256×	0	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-cos: 52.0ms (66.2% of total)

backward-pass: 8.0ms (10.2% of total)

ival-div: 6.0ms (7.6% of total)

ival-mult: 6.0ms (7.6% of total)

ival-sub: 6.0ms (7.6% of total)

const: 1.0ms (1.3% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify63.0ms (0.7%)

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

1096×	`fnmadd-define`
1018×	`sum3-define`
1016×	`fma-define`
880×	`sum5-define`
550×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	16	17
2	28	17
3	46	17
4	85	17
5	145	17
6	236	17
7	465	17
8	1142	17
9	2534	17
10	4043	17
11	4063	17
0	4063	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize72.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	76.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	accuracy	75.4%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

33.0ms	62×	2	valid
14.0ms	128×	0	valid
14.0ms	66×	1	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-cos: 25.0ms (65.9% of total)

backward-pass: 4.0ms (10.5% of total)

ival-div: 3.0ms (7.9% of total)

ival-mult: 3.0ms (7.9% of total)

ival-sub: 3.0ms (7.9% of total)

const: 1.0ms (2.6% of total)

series3.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite315.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2562×	`-lowering-.f32`
2562×	`-lowering-.f64`
2250×	`fma-lowering-fma.f32`
2250×	`fma-lowering-fma.f64`
1948×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	37	15
2	270	15
3	2919	15
0	8614	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 463

Calls

Call 1

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

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

simplify199.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2236×	`sum3-define`
2048×	`fma-lowering-fma.f32`
2048×	`fma-lowering-fma.f64`
1796×	`sum4-define`
1484×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	278
1	113	224
2	316	224
3	821	224
4	1931	224
5	2947	224
6	3532	224
7	4854	224
0	8003	224

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

eval62.0ms (0.6%)

Compiler: Compiled 13229 to 1215 computations (90.8% saved)

prune79.0ms (0.8%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	490	21	511
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	490	22	512

Accuracy

100.0%

Counts

512 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.0%	(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (cos.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) x)))
	27.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
	50.2%	(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
▶	29.0%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	18.8%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	50.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	24.7%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
▶	76.0%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
	14.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x))))))
	50.0%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
▶	50.7%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
	50.8%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
	51.9%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
	51.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))))))
	51.4%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
	51.3%	(*.f64 (pow.f64 (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
▶	76.2%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	50.2%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
	51.3%	(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x))
	75.9%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
	51.4%	(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
▶	52.4%	#s(literal 1/2 binary64)

Compiler

Compiled 671 to 382 computations (43.1% saved)

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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))
✓	cost-diff	0	(/.f64 (/.f64 (cos.f64 x) x) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	256	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(/.f64 (sin.f64 x) (*.f64 x x))
✓	cost-diff	0	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Rules

2642×	`fnmadd-define`
2012×	`sum3-define`
1828×	`fma-define`
1074×	`fma-lowering-fma.f32`
1074×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	20	107
1	41	107
2	63	107
3	84	107
4	117	107
5	176	107
6	314	107
7	643	106
8	1489	105
9	3909	105
10	5371	105
11	7128	105
12	7548	105
0	8036	105

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize256.0ms (2.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.7%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	accuracy	76.7%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
✓	accuracy	99.8%	(/.f64 (cos.f64 x) x)
✓	accuracy	99.8%	(/.f64 (/.f64 (cos.f64 x) x) x)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	52.0%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	accuracy	99.3%	(+.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.8%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	accuracy	77.1%	(/.f64 (sin.f64 x) (*.f64 x x))

Results

77.0ms	128×	0	valid
76.0ms	68×	2	valid
35.0ms	40×	1	valid
29.0ms	20×	3	valid

Compiler

Compiled 122 to 21 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-cos: 50.0ms (41.4% of total)

ival-div: 26.0ms (21.5% of total)

backward-pass: 14.0ms (11.6% of total)

ival-mult: 10.0ms (8.3% of total)

ival-sin: 8.0ms (6.6% of total)

ival-tan: 6.0ms (5% of total)

ival-add: 3.0ms (2.5% of total)

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

const: 1.0ms (0.8% of total)

series13.0ms (0.1%)

Counts

15 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ (cos x) x)
2.0ms	x	@	-inf	(/ (+ 1 (cos x)) x)
1.0ms	x	@	inf	(* (/ (sin x) (* x x)) (tan (/ x 2)))
1.0ms	x	@	-inf	(* (/ (sin x) (* x x)) (tan (/ x 2)))
0.0ms	x	@	0	(* (/ (sin x) (* x x)) (tan (/ x 2)))

rewrite303.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4540×	`-lowering-.f32`
4540×	`-lowering-.f64`
4494×	`/-lowering-/.f32`
4494×	`/-lowering-/.f64`
1964×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	80
1	121	78
2	1091	78
0	8583	78

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 714

Calls

Call 1

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

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

simplify294.0ms (3%)

Algorithm

1×	egg-herbie

Rules

3308×	`+-lowering-+.f64`
3308×	`+-lowering-+.f32`
2610×	`-lowering-.f32`
2610×	`-lowering-.f64`
1928×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1455
1	281	1239
2	775	1236
3	2457	1236
4	4223	1236
5	6819	1236
6	7644	1236
0	8449	1236

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval123.0ms (1.3%)

Compiler: Compiled 17800 to 1835 computations (89.7% saved)

prune129.0ms (1.3%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	998	14	1012
Fresh	11	5	16
Picked	3	2	5
Done	0	1	1
Total	1012	22	1034

Accuracy

100.0%

Counts

1034 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
	51.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	50.2%	(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
	29.7%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
	51.3%	(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
	40.8%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	50.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	24.7%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
✓	76.0%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
▶	29.6%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
	40.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (-.f64 x (*.f64 x (cos.f64 x)))))
	50.0%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	50.7%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
▶	50.8%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
	50.4%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	51.4%	(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
	51.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))
▶	51.9%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
▶	99.7%	(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	51.3%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
	50.2%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	52.4%	#s(literal 1/2 binary64)

Compiler

Compiled 491 to 306 computations (37.7% saved)

simplify135.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (/.f64 (cos.f64 x) x) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	256	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	cost-diff	128	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(/.f64 (sin.f64 x) x)
✓	cost-diff	0	(/.f64 (/.f64 (sin.f64 x) x) x)
✓	cost-diff	0	(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Rules

2166×	`sum3-define`
2114×	`fma-define`
1824×	`sum5-define`
1280×	`sum4-define`
1124×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	127
1	63	120
2	147	118
3	284	118
4	516	118
5	858	118
6	1748	118
7	2721	118
8	3867	118
9	7400	118
0	8160	118

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (/ (sin x) x) x) (tan (/ x 2)))
(/ (/ (sin x) x) x)
(/ (sin x) x)
(sin x)
x
(tan (/ x 2))
(/ x 2)
2
(/ 2 (* x x))
2
(* x x)
x
(+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))
1/2
(* (* x x) (+ -1/24 (* (* x x) 1/720)))
(* x x)
x
(+ -1/24 (* (* x x) 1/720))
-1/24
(* (* x x) 1/720)
1/720
(* (/ (- 1 (cos x)) x) (/ 1 x))
(/ (- 1 (cos x)) x)
(- 1 (cos x))
1
(cos x)
x
(/ 1 x)
(- (/ (/ 1 x) x) (/ (/ (cos x) x) x))
(/ (/ 1 x) x)
(/ 1 x)
1
x
(/ (/ (cos x) x) x)
(/ (cos x) x)
(cos x)

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

localize298.0ms (3.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (cos.f64 x) x)
✓	accuracy	99.8%	(/.f64 (/.f64 (cos.f64 x) x) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	accuracy	52.0%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	77.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	accuracy	75.4%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/720 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.9%	(/.f64 (/.f64 (sin.f64 x) x) x)
✓	accuracy	99.8%	(/.f64 (sin.f64 x) x)
✓	accuracy	99.8%	(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Results

109.0ms	68×	2	valid
63.0ms	128×	0	valid
44.0ms	20×	3	valid
39.0ms	40×	1	valid

Compiler

Compiled 148 to 28 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-cos: 39.0ms (27.8% of total)

ival-div: 29.0ms (20.7% of total)

backward-pass: 21.0ms (15% of total)

...c/correct-round.rkt:119:19: 13.0ms (9.3% of total)

ival-mult: 13.0ms (9.3% of total)

ival-sin: 9.0ms (6.4% of total)

ival-tan: 6.0ms (4.3% of total)

ival-sub: 5.0ms (3.6% of total)

ival-add: 4.0ms (2.9% of total)

const: 1.0ms (0.7% of total)

series7.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (* (/ (/ (sin x) x) x) (tan (/ x 2)))>
#<alt (/ (/ (sin x) x) x)>
#<alt (/ (sin x) x)>
#<alt (sin x)>
#<alt (/ 2 (* x x))>
#<alt (* x x)>
#<alt (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))>
#<alt (* (* x x) (+ -1/24 (* (* x x) 1/720)))>
#<alt (+ -1/24 (* (* x x) 1/720))>
#<alt (* (/ (- 1 (cos x)) x) (/ 1 x))>
#<alt (/ (- 1 (cos x)) x)>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (- (/ (/ 1 x) x) (/ (/ (cos x) x) x))>
#<alt (/ (/ 1 x) x)>
#<alt (/ 1 x)>
#<alt (/ (/ (cos x) x) x)>
#<alt (* (* x x) 1/720)>
#<alt (/ (cos x) x)>

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

Calls

57 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ (- 1 (cos x)) x)
0.0ms	x	@	-inf	(/ (sin x) x)
0.0ms	x	@	inf	(+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))
0.0ms	x	@	0	(/ 2 (* x x))
0.0ms	x	@	inf	(* (* x x) (+ -1/24 (* (* x x) 1/720)))

rewrite590.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4438×	`/-lowering-/.f32`
4438×	`/-lowering-/.f64`
3196×	`-lowering-.f32`
3196×	`-lowering-.f64`
1544×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	100
1	175	93
2	1718	93
0	8397	93

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1097

Calls

Call 1

Inputs
(* (/ (/ (sin x) x) x) (tan (/ x 2)))
(/ (/ (sin x) x) x)
(/ (sin x) x)
(sin x)
(/ 2 (* x x))
(* x x)
(+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))
(* (* x x) (+ -1/24 (* (* x x) 1/720)))
(+ -1/24 (* (* x x) 1/720))
(* (/ (- 1 (cos x)) x) (/ 1 x))
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(cos x)
(- (/ (/ 1 x) x) (/ (/ (cos x) x) x))
(/ (/ 1 x) x)
(/ 1 x)
(/ (/ (cos x) x) x)
(* (* x x) 1/720)
(/ (cos x) x)

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

simplify287.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2920×	`+-lowering-+.f64`
2920×	`+-lowering-+.f32`
2424×	`-lowering-.f32`
2424×	`-lowering-.f64`
1918×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1544
1	253	1299
2	655	1296
3	2025	1274
4	4863	1274
0	8210	1274

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval223.0ms (2.3%)

Compiler: Compiled 28164 to 2730 computations (90.3% saved)

prune164.0ms (1.7%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	1433	10	1443
Fresh	4	10	14
Picked	2	3	5
Done	0	3	3
Total	1439	26	1465

Accuracy

100.0%

Counts

1465 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
	51.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	50.2%	(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
▶	29.7%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
	51.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	40.8%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	50.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	24.7%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
✓	76.0%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
	29.6%	(/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
	29.6%	(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	29.6%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
	50.0%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
▶	50.7%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
	50.7%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) x)))
	50.2%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
	24.8%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	51.4%	(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
▶	51.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))
✓	51.9%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
✓	99.7%	(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	29.7%	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
	50.2%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 x (*.f64 x (cos.f64 x))))) (/.f64 #s(literal 1 binary64) x))
▶	51.2%	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
	51.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
✓	52.4%	#s(literal 1/2 binary64)

Compiler

Compiled 533 to 337 computations (36.8% saved)

simplify184.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (cos.f64 x) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
✓	cost-diff	128	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	cost-diff	0	(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	cost-diff	0	(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))

Rules

1962×	`-lowering-.f32`
1962×	`-lowering-.f64`
1706×	`fma-lowering-fma.f32`
1706×	`fma-lowering-fma.f64`
1416×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	138
1	69	126
2	205	124
3	521	124
4	1054	124
5	1648	124
6	2859	124
7	3931	124
8	6812	124
0	8168	124

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize330.0ms (3.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(/.f64 (cos.f64 x) x)
✓	accuracy	99.8%	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	51.9%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
✓	accuracy	99.9%	(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
✓	accuracy	77.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	accuracy	75.4%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	77.7%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/40320 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))))

Results

108.0ms	70×	2	valid
81.0ms	128×	0	valid
42.0ms	40×	1	valid
37.0ms	18×	3	valid

Compiler

Compiled 170 to 28 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-cos: 31.0ms (24.5% of total)

ival-div: 29.0ms (22.9% of total)

...c/correct-round.rkt:119:19: 19.0ms (15% of total)

backward-pass: 18.0ms (14.2% of total)

ival-mult: 14.0ms (11.1% of total)

ival-sub: 8.0ms (6.3% of total)

ival-add: 7.0ms (5.5% of total)

const: 1.0ms (0.8% of total)

series11.0ms (0.1%)

Counts

20 → 228

Calls

Call 1

Inputs
#<alt (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320))))))>
#<alt (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320)))))>
#<alt (* x x)>
#<alt (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320))))>
#<alt (/ (/ 2 x) x)>
#<alt (/ 2 x)>
#<alt (/ (- 1 1) (* x x))>
#<alt (- 1 1)>
#<alt (/ 1 (/ x (/ (- 1 (cos x)) x)))>
#<alt (/ x (/ (- 1 (cos x)) x))>
#<alt (/ (- 1 (cos x)) x)>
#<alt (- 1 (cos x))>
#<alt (* (- (/ 1 x) (/ (cos x) x)) (/ 1 x))>
#<alt (- (/ 1 x) (/ (cos x) x))>
#<alt (/ 1 x)>
#<alt (/ (cos x) x)>
#<alt (* (* x x) -1/40320)>
#<alt (* (* x x) (+ 1/720 (* (* x x) -1/40320)))>
#<alt (+ 1/720 (* (* x x) -1/40320))>
#<alt (cos 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 (* -1/40320 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* -1/40320 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))>
#<alt (* -1/40320 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* -1/40320 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<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 -1/24>
#<alt (- (* 1/720 (pow x 2)) 1/24)>
#<alt (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)>
#<alt (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)>
#<alt (* -1/40320 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* -1/40320 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))>
#<alt (* -1/40320 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* -1/40320 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt 1/720>
#<alt (+ 1/720 (* -1/40320 (pow x 2)))>
#<alt (+ 1/720 (* -1/40320 (pow x 2)))>
#<alt (+ 1/720 (* -1/40320 (pow x 2)))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<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

57 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* (- (/ 1 x) (/ (cos x) x)) (/ 1 x))
1.0ms	x	@	-inf	(* (- (/ 1 x) (/ (cos x) x)) (/ 1 x))
0.0ms	x	@	inf	(/ x (/ (- 1 (cos x)) x))
0.0ms	x	@	-inf	(/ x (/ (- 1 (cos x)) x))
0.0ms	x	@	inf	(* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320)))))

rewrite389.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

4042×	`/-lowering-/.f32`
4042×	`/-lowering-/.f64`
3320×	`-lowering-.f32`
3320×	`-lowering-.f64`
1786×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	119
1	189	107
2	1762	107
0	8247	107

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1294

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))) #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))))) (/.f64 (.f64 (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64))))))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64))))))) #s(literal 1/2 binary64))))
(fma.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64))))))) #s(literal 1/2 binary64))
(fma.f64 x (.f64 x #s(literal -1/24 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal -1/24 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64))))))) x #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal -1/24 binary64) x) x (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) (.f64 (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64))))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) (.f64 (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64))))))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/518400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1625702400 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1625702400 binary64)) #s(literal 1/518400 binary64))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/40320 binary64))) #s(literal 1/720 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/40320 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/40320 binary64))) #s(literal 1/720 binary64)))) (+.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal -1/65548320768000 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))) (-.f64 #s(literal 1/518400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1625702400 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/65548320768000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/40320 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/40320 binary64))) #s(literal 1/720 binary64))))))
(.f64 (-.f64 #s(literal 1/518400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1625702400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64))))))
(cos.f64 x)
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))

simplify280.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2194×	`-lowering-.f32`
2194×	`-lowering-.f64`
1838×	`sum5-define`
1782×	`fma-define`
1770×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	99	1557
1	251	1335
2	658	1321
3	1702	1299
4	3988	1289
5	7909	1289
0	8673	1289

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
(* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(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)
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
0
0
0
0
0
0
0
0
0
0
0
0
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))
(* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))
(* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
1/720
(+ 1/720 (* -1/40320 (pow x 2)))
(+ 1/720 (* -1/40320 (pow x 2)))
(+ 1/720 (* -1/40320 (pow x 2)))
(* -1/40320 (pow x 2))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* -1/40320 (pow x 2))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
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)))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))
(* -1/40320 (pow x 6))
(.f64 x (.f64 x (.f64 #s(literal -1/40320 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* -1/40320 (pow x 6))
(.f64 x (.f64 x (.f64 #s(literal -1/40320 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* -1/24 (pow x 2))
(.f64 #s(literal -1/24 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
(.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))))
(* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
(.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))))
(* -1/40320 (pow x 6))
(.f64 x (.f64 x (.f64 #s(literal -1/40320 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* -1/40320 (pow x 6))
(.f64 x (.f64 x (.f64 #s(literal -1/40320 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (.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)
(pow x 2)
(*.f64 x x)
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(* -1/40320 (pow x 4))
(.f64 #s(literal -1/40320 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))) (.f64 (.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))) (.f64 (.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(* -1/40320 (pow x 4))
(.f64 #s(literal -1/40320 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))) (.f64 (.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))) (.f64 (.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 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)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 1/6 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/3024 binary64))))))))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 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) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 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)))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))
(* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))
(* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))
(* -1/40320 (pow x 4))
(.f64 #s(literal -1/40320 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))
(* -1/40320 (pow x 4))
(.f64 #s(literal -1/40320 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))
1/720
#s(literal 1/720 binary64)
(+ 1/720 (* -1/40320 (pow x 2)))
(+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
(+ 1/720 (* -1/40320 (pow x 2)))
(+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
(+ 1/720 (* -1/40320 (pow x 2)))
(+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
(* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 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)

eval187.0ms (1.9%)

Compiler: Compiled 35551 to 3297 computations (90.7% saved)

prune198.0ms (2.1%)

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	1617	6	1623
Fresh	2	13	15
Picked	2	3	5
Done	0	6	6
Total	1621	28	1649

Accuracy

100.0%

Counts

1649 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
	51.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	50.2%	(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	29.7%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
	51.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	40.8%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	50.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	76.0%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
	29.6%	(/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
	29.6%	(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	29.6%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
	50.0%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	50.7%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) x)))
	50.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
	50.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
	50.2%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
	24.8%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	51.4%	(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
	51.5%	(+.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))) #s(literal 1/2 binary64)))
✓	51.5%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))
✓	51.9%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
✓	99.7%	(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	29.7%	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	51.2%	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
	50.6%	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
	51.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
✓	52.4%	#s(literal 1/2 binary64)
	25.4%	#s(literal 0 binary64)

Compiler

Compiled 974 to 374 computations (61.6% saved)

regimes33.0ms (0.3%)

Counts

52 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x 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)
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (-.f64 x (*.f64 x (cos.f64 x)))))
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 x (*.f64 x (cos.f64 x))))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x))))))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
(*.f64 (pow.f64 (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (cos.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) x)))

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

Calls

2 calls:

15.0ms	x
14.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes29.0ms (0.3%)

Counts

46 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	x
13.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.6%	2	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
78.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
78.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
78.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
77.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
74.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

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

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
25.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0007701755220102468	0.4234570723769268

Results

11.0ms

128×

valid

Compiler

Compiled 213 to 145 computations (31.9% saved)

Precisions

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

ival-sub: 1.0ms (23.5% of total)

ival-div: 1.0ms (23.5% of total)

ival-cos: 1.0ms (23.5% of total)

ival-mult: 1.0ms (23.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0007701755220102468	0.4234570723769268

Results

8.0ms

128×

valid

Compiler

Compiled 213 to 145 computations (31.9% saved)

Precisions

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

ival-sub: 1.0ms (24.1% of total)

ival-div: 1.0ms (24.1% of total)

ival-cos: 1.0ms (24.1% of total)

ival-mult: 1.0ms (24.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.2818916653594024	6477.2260667365645

Results

11.0ms

128×

valid

Compiler

Compiled 237 to 161 computations (32.1% saved)

Precisions

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

ival-cos: 4.0ms (56.3% of total)

ival-sub: 1.0ms (14.1% of total)

ival-div: 1.0ms (14.1% of total)

ival-mult: 1.0ms (14.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.2818916653594024	6477.2260667365645

Results

14.0ms

128×

valid

Compiler

Compiled 189 to 129 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 7.0ms (69.3% of total)

ival-sub: 1.0ms (9.9% of total)

ival-div: 1.0ms (9.9% of total)

ival-mult: 1.0ms (9.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.2818916653594024	6477.2260667365645

Results

17.0ms

128×

valid

Compiler

Compiled 141 to 105 computations (25.5% saved)

Precisions

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

ival-cos: 4.0ms (57.6% of total)

ival-sub: 1.0ms (14.4% of total)

ival-div: 1.0ms (14.4% of total)

ival-mult: 1.0ms (14.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.2818916653594024	6477.2260667365645

Results

11.0ms

128×

valid

Compiler

Compiled 93 to 73 computations (21.5% saved)

Precisions

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

ival-cos: 4.0ms (57.9% of total)

ival-sub: 1.0ms (14.5% of total)

ival-div: 1.0ms (14.5% of total)

ival-mult: 1.0ms (14.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.2818916653594024	6477.2260667365645

Results

11.0ms

128×

valid

Compiler

Compiled 93 to 73 computations (21.5% saved)

Precisions

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

ival-cos: 4.0ms (58.8% of total)

ival-sub: 1.0ms (14.7% of total)

ival-div: 1.0ms (14.7% of total)

ival-mult: 1.0ms (14.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.9390380561510708e+76	5.3922480356775025e+79

Results

12.0ms

128×

valid

Compiler

Compiled 61 to 57 computations (6.6% saved)

Precisions

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

ival-cos: 6.0ms (70.2% of total)

ival-sub: 1.0ms (11.7% of total)

ival-div: 1.0ms (11.7% of total)

ival-mult: 1.0ms (11.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	154
1	73	154
2	77	154
3	79	154
4	80	154

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 80000000000000003764810759672437567132476811262933046114229676279185996251136 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 80000000000000003764810759672437567132476811262933046114229676279185996251136 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.8s (19.1%)

Rules

4540×	`-lowering-.f32`
4540×	`-lowering-.f64`
4494×	`/-lowering-/.f32`
4494×	`/-lowering-/.f64`
4042×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	119
1	189	107
2	1762	107
0	8247	107
0	19	80
1	121	78
2	1091	78
0	8583	78
0	42	278
1	113	224
2	316	224
3	821	224
4	1931	224
5	2947	224
6	3532	224
7	4854	224
0	8003	224
0	6	15
1	37	15
2	270	15
3	2919	15
0	8614	15
0	114	1455
1	281	1239
2	775	1236
3	2457	1236
4	4223	1236
5	6819	1236
6	7644	1236
0	8449	1236

Stop Event

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

Compiler

Compiled 327 to 171 computations (47.7% saved)

preprocess52.0ms (0.5%)

Remove: (abs x)
Compiler: Compiled 352 to 138 computations (60.8% saved)

analyze7.0ms (0.1%)

sample1.9s (19.7%)

preprocess109.0ms (1.1%)

explain167.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify63.0ms (0.7%)

localize72.0ms (0.7%)

series3.0ms (0%)

rewrite315.0ms (3.3%)

simplify199.0ms (2.1%)

eval62.0ms (0.6%)

prune79.0ms (0.8%)

simplify125.0ms (1.3%)

localize256.0ms (2.6%)

series13.0ms (0.1%)

rewrite303.0ms (3.1%)

simplify294.0ms (3%)

eval123.0ms (1.3%)

prune129.0ms (1.3%)

simplify135.0ms (1.4%)

localize298.0ms (3.1%)

series7.0ms (0.1%)

rewrite590.0ms (6.1%)

simplify287.0ms (3%)

eval223.0ms (2.3%)

prune164.0ms (1.7%)

simplify184.0ms (1.9%)

localize330.0ms (3.4%)

series11.0ms (0.1%)

rewrite389.0ms (4%)

simplify280.0ms (2.9%)

eval187.0ms (1.9%)

prune198.0ms (2.1%)

regimes33.0ms (0.3%)

regimes29.0ms (0.3%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch17.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch18.0ms (0.2%)

simplify10.0ms (0.1%)

soundness1.8s (19.1%)

preprocess52.0ms (0.5%)

end0.0ms (0%)

Profiling