Metrics for cos2 (problem 3.4.1)

analyze2.0ms (0%)

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: 1.0ms

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

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

ival-cos: 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 (18.5%)

Results

953.0ms	1984×	2	valid
383.0ms	4213×	0	valid
346.0ms	2059×	1	valid

Precisions

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

ival-cos: 859.0ms (67.4% of total)

ival-sub: 108.0ms (8.5% of total)

ival-mult: 101.0ms (7.9% of total)

ival-div: 96.0ms (7.5% of total)

backward-pass: 94.0ms (7.4% of total)

const: 16.0ms (1.3% of total)

Bogosity

preprocess109.0ms (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	42	22
2	116	21
3	316	21
4	840	21
5	1955	21
6	3665	21
7	3874	21
0	6	7
1	17	7
2	30	7
3	49	7
4	88	7
5	148	7
6	239	7
7	469	7
8	1149	7
9	2533	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)

explain183.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
78	0	-	1	(1.9687333469474162e+61)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
65	1	(4.107030902157368e+160)	0	-	`(/.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

75.0ms	130×	2	valid
45.0ms	138×	1	valid
35.0ms	244×	0	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-cos: 60.0ms (60% of total)

backward-pass: 22.0ms (22% of total)

ival-div: 6.0ms (6% of total)

ival-sub: 6.0ms (6% of total)

ival-mult: 6.0ms (6% of total)

const: 1.0ms (1% 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
▶	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify77.0ms (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	17	17
2	30	17
3	49	17
4	88	17
5	148	17
6	239	17
7	469	17
8	1149	17
9	2533	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)

localize98.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	75.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	accuracy	74.1%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

37.0ms	122×	0	valid
31.0ms	65×	2	valid
19.0ms	69×	1	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

ival-cos: 26.0ms (67.1% of total)

backward-pass: 4.0ms (10.3% of total)

ival-div: 3.0ms (7.7% of total)

ival-sub: 3.0ms (7.7% of total)

ival-mult: 3.0ms (7.7% 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)

rewrite313.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

2476×	`-lowering-.f32`
2476×	`-lowering-.f64`
2258×	`fma-lowering-fma.f32`
2258×	`fma-lowering-fma.f64`
1948×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	38	15
2	273	15
3	2948	15
0	8608	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 466

Calls

Call 1

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

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

simplify173.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2236×	`sum3-define`
2048×	`fma-lowering-fma.f32`
2048×	`fma-lowering-fma.f64`
1796×	`sum4-define`
1490×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	278
1	114	224
2	318	224
3	829	224
4	1947	224
5	2958	224
6	3544	224
7	4867	224
0	8021	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 x (.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)))))))
(* (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 (.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 x (.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)))))))))
(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)

eval59.0ms (0.6%)

Compiler: Compiled 13363 to 1216 computations (90.9% saved)

prune121.0ms (1.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	498	16	514
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	498	17	515

Accuracy

100.0%

Counts

515 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
	49.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) x))
▶	48.3%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
	16.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 (*.f64 x x) x))
✓	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	27.5%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
	48.4%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
	48.4%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x))))
▶	48.3%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	48.6%	(+.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))))
	53.8%	(+.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)))))
	53.4%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
▶	75.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	48.4%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
	49.1%	(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x))
▶	49.2%	(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
▶	54.3%	#s(literal 1/2 binary64)

Compiler

Compiled 409 to 248 computations (39.4% saved)

simplify157.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 x (/.f64 (cos.f64 x) x)))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
✓	cost-diff	256	(*.f64 x (/.f64 (cos.f64 x) x))
✓	cost-diff	256	(*.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(/.f64 (cos.f64 x) (*.f64 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	256	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
✓	cost-diff	0	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)
✓	cost-diff	64	(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) 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

1902×	`-lowering-.f32`
1902×	`-lowering-.f64`
1570×	`fmsub-define`
1518×	`fma-lowering-fma.f32`
1518×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	111
1	73	111
2	141	109
3	366	104
4	1021	104
5	2069	104
6	5202	104
7	7871	104
0	8001	104

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

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

localize271.0ms (2.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	accuracy	99.6%	(*.f64 x (/.f64 (cos.f64 x) x))
✓	accuracy	75.3%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
✓	accuracy	74.1%	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 x (/.f64 (cos.f64 x) x)))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	99.7%	(/.f64 (cos.f64 x) (*.f64 x x))
✓	accuracy	49.4%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)
✓	accuracy	76.2%	(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
✓	accuracy	74.1%	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	accuracy	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.7%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	accuracy	76.2%	(/.f64 (sin.f64 x) (*.f64 x x))

Results

99.0ms	71×	2	valid
50.0ms	122×	0	valid
50.0ms	21×	3	valid
29.0ms	42×	1	valid

Compiler

Compiled 148 to 26 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-div: 34.0ms (26.1% of total)

ival-cos: 32.0ms (24.6% of total)

backward-pass: 26.0ms (20% of total)

ival-mult: 13.0ms (10% of total)

ival-sin: 8.0ms (6.1% of total)

ival-tan: 6.0ms (4.6% of total)

ival-sub: 5.0ms (3.8% of total)

ival-add: 3.0ms (2.3% of total)

ival-neg: 3.0ms (2.3% of total)

const: 1.0ms (0.8% of total)

series13.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

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

Calls

51 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(* (/ (sin x) (* x x)) (tan (/ x 2)))
2.0ms	x	@	-inf	(/ (+ (cos x) -1) x)
1.0ms	x	@	-inf	(* (/ (sin x) (* x x)) (tan (/ x 2)))
1.0ms	x	@	0	(* (/ (sin x) (* x x)) (tan (/ x 2)))
0.0ms	x	@	inf	(neg (/ (/ (+ (cos x) -1) x) x))

rewrite433.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4670×	`-lowering-.f32`
4670×	`-lowering-.f64`
4270×	`/-lowering-/.f32`
4270×	`/-lowering-/.f64`
2004×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	89
1	179	82
2	1493	81
0	8758	81

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1321

Calls

Call 1

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

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

simplify251.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3142×	`-lowering-.f32`
3142×	`-lowering-.f64`
2218×	`+-lowering-+.f64`
2218×	`+-lowering-+.f32`
1850×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1412
1	305	1184
2	853	1181
3	2780	1181
4	4948	1181
5	6111	1181
6	7429	1181
0	8060	1181

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval259.0ms (2.5%)

Compiler: Compiled 33857 to 2443 computations (92.8% saved)

prune139.0ms (1.3%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1640	16	1656
Fresh	8	3	11
Picked	2	3	5
Done	0	1	1
Total	1650	23	1673

Accuracy

100.0%

Counts

1673 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	49.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	11.1%	(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
	41.4%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	27.5%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
▶	75.1%	(/.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))))
	48.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
▶	49.2%	(/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
▶	2.9%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))) x) x))
	48.2%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
✓	48.3%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	53.8%	(+.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)))))
▶	53.4%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
	49.1%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
▶	48.4%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	75.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	48.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	29.3%	(neg.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x) x))
	49.2%	(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
	49.1%	(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) x))
	49.2%	(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) x))
✓	54.3%	#s(literal 1/2 binary64)

Compiler

Compiled 536 to 319 computations (40.5% saved)

simplify221.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

1818×	`fnmadd-define`
1808×	`fma-lowering-fma.f32`
1808×	`fma-lowering-fma.f64`
1666×	`fma-define`
1380×	`fmsub-define`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	33	160
1	77	153
2	153	153
3	289	149
4	586	149
5	1244	149
6	3093	146
7	6329	145
0	8190	145

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize386.0ms (3.7%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
✓	accuracy	75.2%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	accuracy	74.1%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	99.9%	(/.f64 x (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x))
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
✓	accuracy	76.2%	(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
✓	accuracy	74.1%	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) x) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	76.5%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) x)
✓	accuracy	50.0%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))) x) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal -1/24 binary64) (.f64 x x))
✓	accuracy	100.0%	(cos.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	99.9%	(/.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))))
✓	accuracy	99.7%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (sin.f64 (/.f64 x #s(literal 2 binary64))))
✓	accuracy	76.2%	(/.f64 (sin.f64 x) (*.f64 x x))

Results

135.0ms	71×	2	valid
83.0ms	122×	0	valid
52.0ms	42×	1	valid
51.0ms	21×	3	valid

Compiler

Compiled 198 to 34 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-div: 45.0ms (28.7% of total)

ival-cos: 34.0ms (21.7% of total)

backward-pass: 21.0ms (13.4% of total)

ival-mult: 17.0ms (10.8% of total)

ival-sin: 14.0ms (8.9% of total)

ival-add: 13.0ms (8.3% of total)

...c/correct-round.rkt:119:19: 7.0ms (4.5% of total)

ival-sub: 5.0ms (3.2% of total)

const: 1.0ms (0.6% of total)

series16.0ms (0.2%)

Counts

21 → 252

Calls

Call 1

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

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt 1/2>
#<alt (+ 1/2 (* -5/48 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 91/11520 (pow x 2)) 5/48)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 91/11520 (* -41/129024 (pow x 2)))) 5/48)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (pow x 2))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (pow x 2))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (pow x 2))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (pow x 2))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (pow x 2))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (pow x 2))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (pow x 2))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (pow x 2))>
#<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 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))>
#<alt -1/2>
#<alt (- (/ 1 (pow x 2)) 1/2)>
#<alt (- (/ 1 (pow x 2)) 1/2)>
#<alt (- (/ 1 (pow x 2)) 1/2)>
#<alt -1/2>
#<alt (- (/ 1 (pow x 2)) 1/2)>
#<alt (- (/ 1 (pow x 2)) 1/2)>
#<alt (- (/ 1 (pow x 2)) 1/2)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)>
#<alt (* -1/2 x)>
#<alt (* x (- (/ 1 (pow x 2)) 1/2))>
#<alt (* x (- (/ 1 (pow x 2)) 1/2))>
#<alt (* x (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt -2>
#<alt (- (* -1/6 (pow x 2)) 2)>
#<alt (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt (/ (pow x 2) (- (cos x) 1))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt 1/2>
#<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) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (* -1 (- 1 (cos x)))>
#<alt (* -1 (- 1 (cos x)))>
#<alt (* -1 (- 1 (cos x)))>
#<alt (* -1 (- 1 (cos x)))>
#<alt (* -1 (- 1 (cos x)))>
#<alt (* -1 (- 1 (cos x)))>
#<alt (* -1 (- 1 (cos x)))>
#<alt (* -1 (- 1 (cos x)))>
#<alt (* 1/2 (pow x 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>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>

Calls

63 calls:

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

rewrite392.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4420×	`-lowering-.f32`
4420×	`-lowering-.f64`
4008×	`/-lowering-/.f32`
4008×	`/-lowering-/.f64`
2060×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	133
1	213	115
2	2018	115
0	8895	115

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 822

Calls

Call 1

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

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

simplify294.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3598×	`-lowering-.f32`
3598×	`-lowering-.f64`
3454×	`+-lowering-+.f64`
3454×	`+-lowering-+.f32`
1822×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	1681
1	395	1389
2	1044	1386
3	3329	1374
4	6238	1374
0	8143	1374

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
1/2
(+ 1/2 (* -5/48 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 91/11520 (pow x 2)) 5/48)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 91/11520 (* -41/129024 (pow x 2)))) 5/48)))
(/ (* (sin x) (sin (* 1/2 x))) (pow x 2))
(/ (* (sin x) (sin (* 1/2 x))) (pow x 2))
(/ (* (sin x) (sin (* 1/2 x))) (pow x 2))
(/ (* (sin x) (sin (* 1/2 x))) (pow x 2))
(/ (* (sin x) (sin (* 1/2 x))) (pow x 2))
(/ (* (sin x) (sin (* 1/2 x))) (pow x 2))
(/ (* (sin x) (sin (* 1/2 x))) (pow x 2))
(/ (* (sin x) (sin (* 1/2 x))) (pow x 2))
(/ 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)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
(/ 1 (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
-1/2
(- (/ 1 (pow x 2)) 1/2)
(- (/ 1 (pow x 2)) 1/2)
(- (/ 1 (pow x 2)) 1/2)
-1/2
(- (/ 1 (pow x 2)) 1/2)
(- (/ 1 (pow x 2)) 1/2)
(- (/ 1 (pow x 2)) 1/2)
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(* -1/2 x)
(* x (- (/ 1 (pow x 2)) 1/2))
(* x (- (/ 1 (pow x 2)) 1/2))
(* x (- (/ 1 (pow x 2)) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- 1/2 (/ 1 (pow x 2)))))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
-2
(- (* -1/6 (pow x 2)) 2)
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)
(/ (pow x 2) (- (cos x) 1))
(/ (pow x 2) (- (cos x) 1))
(/ (pow x 2) (- (cos x) 1))
(/ (pow x 2) (- (cos x) 1))
(/ (pow x 2) (- (cos x) 1))
(/ (pow x 2) (- (cos x) 1))
(/ (pow x 2) (- (cos x) 1))
(/ (pow x 2) (- (cos x) 1))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
1/2
(+ 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) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (- 1 (cos x)))
(* -1 (- 1 (cos x)))
(* -1 (- 1 (cos x)))
(* -1 (- 1 (cos x)))
(* -1 (- 1 (cos x)))
(* -1 (- 1 (cos x)))
(* -1 (- 1 (cos x)))
(* -1 (- 1 (cos x)))
(* 1/2 (pow x 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
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.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 x (.f64 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))))
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(.f64 (.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.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) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.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 (- 1 (cos x)))
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(* -1 (- 1 (cos x)))
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(* -1 (- 1 (cos x)))
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(* -1 (- 1 (cos x)))
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(* -1 (- 1 (cos x)))
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(* -1 (- 1 (cos x)))
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(* -1 (- 1 (cos x)))
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(* -1 (- 1 (cos x)))
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(* 1/2 (pow x 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 (.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 x (.f64 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 (.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)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/384 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/384 binary64) (.f64 (.f64 x x) #s(literal -1/46080 binary64)))))))
(cos (* 1/2 x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos (* 1/2 x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos (* 1/2 x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos (* 1/2 x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos (* 1/2 x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos (* 1/2 x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos (* 1/2 x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos (* 1/2 x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -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))

eval141.0ms (1.3%)

Compiler: Compiled 23214 to 2596 computations (88.8% saved)

prune118.0ms (1.1%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	1172	4	1176
Fresh	5	9	14
Picked	2	3	5
Done	0	4	4
Total	1179	20	1199

Accuracy

100.0%

Counts

1199 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	49.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	49.2%	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))))
	11.1%	(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
	41.4%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	27.5%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
✓	75.1%	(/.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))))
✓	49.2%	(/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
▶	81.6%	(/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -2 binary64)))
	49.2%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))) x))
	48.2%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
✓	48.3%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	53.8%	(+.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)))))
✓	53.4%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
✓	75.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	48.4%	(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
▶	49.1%	(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) x))
▶	49.2%	(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) x))
✓	54.3%	#s(literal 1/2 binary64)

Compiler

Compiled 412 to 244 computations (40.8% saved)

simplify163.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) x)
✓	cost-diff	64	(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) x))
✓	cost-diff	256	(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) x)
✓	cost-diff	64	(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) x))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(-.f64 (cos.f64 x) #s(literal 1 binary64))
✓	cost-diff	128	(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) 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 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -1/6 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -2 binary64)))

Rules

1130×	`fnmadd-define`
914×	`fnmsub-define`
906×	`fma-define`
902×	`fmsub-define`
772×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	27	131
1	74	122
2	192	121
3	475	118
4	1189	118
5	2236	118
6	4049	118
7	4615	118
8	4928	118
9	5105	118
10	5175	118
11	5193	117
12	5224	117
13	5254	117
14	5272	117
15	5292	117
16	5300	117
0	5300	117

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ -1 (+ (* (* x x) -1/6) -2))
-1
(+ (* (* x x) -1/6) -2)
(* (* x x) -1/6)
(* x x)
x
-1/6
-2
(/ (- 1 1) (* x x))
(- 1 1)
1
(* x x)
x
(* (- (cos x) 1) (/ (/ -1 x) x))
(- (cos x) 1)
(cos x)
x
1
(/ (/ -1 x) x)
(/ -1 x)
-1
(neg (/ (* (/ 1 x) (+ (cos x) -1)) x))
(/ (* (/ 1 x) (+ (cos x) -1)) x)
(* (/ 1 x) (+ (cos x) -1))
(/ 1 x)
1
x
(+ (cos x) -1)
(cos x)
-1
(neg (/ (- (/ -1 x) (/ -1 (/ x (cos x)))) x))
(/ (- (/ -1 x) (/ -1 (/ x (cos x)))) x)
(- (/ -1 x) (/ -1 (/ x (cos x))))
(/ -1 x)
-1
x
(/ -1 (/ x (cos x)))
(/ x (cos x))
(cos x)

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

localize303.0ms (2.9%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) x)
✓	accuracy	99.8%	(/.f64 x (cos.f64 x))
✓	accuracy	99.8%	(/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))
✓	accuracy	50.0%	(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x))))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) x)
✓	accuracy	76.0%	(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
✓	accuracy	74.1%	(+.f64 (cos.f64 x) #s(literal -1 binary64))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
✓	accuracy	75.2%	(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	accuracy	74.1%	(-.f64 (cos.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	75.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -2 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/6 binary64))

Results

118.0ms	72×	2	valid
56.0ms	123×	0	valid
41.0ms	18×	3	valid
37.0ms	43×	1	valid

Compiler

Compiled 165 to 27 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-div: 46.0ms (33.2% of total)

ival-cos: 35.0ms (25.2% of total)

backward-pass: 18.0ms (13% of total)

ival-mult: 12.0ms (8.7% of total)

ival-sub: 10.0ms (7.2% of total)

...c/correct-round.rkt:119:19: 7.0ms (5% of total)

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

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

const: 1.0ms (0.7% of total)

series13.0ms (0.1%)

Counts

21 → 240

Calls

Call 1

Inputs
#<alt (/ -1 (+ (* (* x x) -1/6) -2))>
#<alt (+ (* (* x x) -1/6) -2)>
#<alt (* (* x x) -1/6)>
#<alt (* x x)>
#<alt (/ (- 1 1) (* x x))>
#<alt (- 1 1)>
#<alt (* (- (cos x) 1) (/ (/ -1 x) x))>
#<alt (- (cos x) 1)>
#<alt (cos x)>
#<alt (/ (/ -1 x) x)>
#<alt (* (/ 1 x) (+ (cos x) -1))>
#<alt (neg (/ (* (/ 1 x) (+ (cos x) -1)) x))>
#<alt (/ (* (/ 1 x) (+ (cos x) -1)) x)>
#<alt (/ 1 x)>
#<alt (- (/ -1 x) (/ -1 (/ x (cos x))))>
#<alt (neg (/ (- (/ -1 x) (/ -1 (/ x (cos x)))) x))>
#<alt (/ (- (/ -1 x) (/ -1 (/ x (cos x)))) x)>
#<alt (/ -1 x)>
#<alt (+ (cos x) -1)>
#<alt (/ -1 (/ x (cos x)))>
#<alt (/ x (cos x))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24)))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))>
#<alt -2>
#<alt (- (* -1/6 (pow x 2)) 2)>
#<alt (- (* -1/6 (pow x 2)) 2)>
#<alt (- (* -1/6 (pow x 2)) 2)>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (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 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) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt (/ (- (cos x) 1) x)>
#<alt 1/2>
#<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>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)>
#<alt (/ (- (cos x) 1) (pow x 2))>
#<alt (/ (- (cos x) 1) (pow x 2))>
#<alt (/ (- (cos x) 1) (pow x 2))>
#<alt (/ (- (cos x) 1) (pow x 2))>
#<alt (/ (- (cos x) 1) (pow x 2))>
#<alt (/ (- (cos x) 1) (pow x 2))>
#<alt (/ (- (cos x) 1) (pow x 2))>
#<alt (/ (- (cos x) 1) (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) x))>
#<alt (* -1 (/ (- 1 (cos x)) x))>
#<alt (* -1 (/ (- 1 (cos x)) x))>
#<alt (* -1 (/ (- 1 (cos x)) x))>
#<alt (* -1 (/ (- 1 (cos x)) x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (- 1 (cos x)) (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>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) (pow x 2)))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) (pow x 2)))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) (pow x 2)))>
#<alt (* -1 (/ (+ 1 (* -1 (cos x))) (pow x 2)))>
#<alt (* -1 (/ (- 1 (cos x)) (pow x 2)))>
#<alt (* -1 (/ (- 1 (cos x)) (pow x 2)))>
#<alt (* -1 (/ (- 1 (cos x)) (pow x 2)))>
#<alt (* -1 (/ (- 1 (cos x)) (pow x 2)))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (- (cos x) 1)>
#<alt (/ -1 x)>
#<alt (/ (- (* 1/2 (pow x 2)) 1) x)>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2))))))))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>
#<alt (/ x (cos x))>

Calls

60 calls:

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

rewrite422.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3914×	`/-lowering-/.f32`
3914×	`/-lowering-/.f64`
2924×	`-lowering-.f32`
2924×	`-lowering-.f64`
1754×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	108
1	176	98
2	1631	97
0	8422	97

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1735

Calls

Call 1

Inputs
(/ -1 (+ (* (* x x) -1/6) -2))
(+ (* (* x x) -1/6) -2)
(* (* x x) -1/6)
(* x x)
(/ (- 1 1) (* x x))
(- 1 1)
(* (- (cos x) 1) (/ (/ -1 x) x))
(- (cos x) 1)
(cos x)
(/ (/ -1 x) x)
(* (/ 1 x) (+ (cos x) -1))
(neg (/ (* (/ 1 x) (+ (cos x) -1)) x))
(/ (* (/ 1 x) (+ (cos x) -1)) x)
(/ 1 x)
(- (/ -1 x) (/ -1 (/ x (cos x))))
(neg (/ (- (/ -1 x) (/ -1 (/ x (cos x)))) x))
(/ (- (/ -1 x) (/ -1 (/ x (cos x)))) x)
(/ -1 x)
(+ (cos x) -1)
(/ -1 (/ x (cos x)))
(/ x (cos x))

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

simplify268.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3008×	`-lowering-.f32`
3008×	`-lowering-.f64`
2768×	`+-lowering-+.f64`
2768×	`+-lowering-+.f32`
1620×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1541
1	384	1286
2	1089	1281
3	3595	1275
4	6917	1275
0	8219	1275

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24)))
(/ 6 (pow x 2))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/ 6 (pow x 2))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
-2
(- (* -1/6 (pow x 2)) 2)
(- (* -1/6 (pow x 2)) 2)
(- (* -1/6 (pow x 2)) 2)
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (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)
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) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
1/2
(+ 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
(- (* 1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)
(/ (- (cos x) 1) (pow x 2))
(/ (- (cos x) 1) (pow x 2))
(/ (- (cos x) 1) (pow x 2))
(/ (- (cos x) 1) (pow x 2))
(/ (- (cos x) 1) (pow x 2))
(/ (- (cos x) 1) (pow x 2))
(/ (- (cos x) 1) (pow x 2))
(/ (- (cos x) 1) (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (- 1 (cos x)) x))
(* -1 (/ (- 1 (cos x)) x))
(* -1 (/ (- 1 (cos x)) x))
(* -1 (/ (- 1 (cos x)) x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)
(* -1 (/ (+ 1 (* -1 (cos x))) (pow x 2)))
(* -1 (/ (+ 1 (* -1 (cos x))) (pow x 2)))
(* -1 (/ (+ 1 (* -1 (cos x))) (pow x 2)))
(* -1 (/ (+ 1 (* -1 (cos x))) (pow x 2)))
(* -1 (/ (- 1 (cos x)) (pow x 2)))
(* -1 (/ (- 1 (cos x)) (pow x 2)))
(* -1 (/ (- 1 (cos x)) (pow x 2)))
(* -1 (/ (- 1 (cos x)) (pow x 2)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(- (cos x) 1)
(/ -1 x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2))))))))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))
(/ x (cos x))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/288 binary64)))))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (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 1/288 binary64) (.f64 (.f64 x x) #s(literal -1/3456 binary64)))))))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 864 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -72 binary64) (.f64 x x)))) (*.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 864 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (/.f64 #s(literal -10368 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 864 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -72 binary64) (.f64 x x)))) (*.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 864 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (/.f64 #s(literal -10368 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
-2
#s(literal -2 binary64)
(- (* -1/6 (pow x 2)) 2)
(-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(- (* -1/6 (pow x 2)) 2)
(-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(- (* -1/6 (pow x 2)) 2)
(-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* -1 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2))))))
(-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
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 #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 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.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) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (.f64 x x) (+.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 (.f64 x x) #s(literal 1/40320 binary64))))))))))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.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 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 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/24 (pow x 2)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.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 (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 x (+.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 (*.f64 x x) #s(literal 1/40320 binary64))))))))))
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
1/2
#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 (.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))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(+.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) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)
(+.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 (.f64 x x) #s(literal 1/40320 binary64)))))))))
(/ (- (cos x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- (cos x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- (cos x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- (cos x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- (cos x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- (cos x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- (cos x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- (cos x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/24 (pow x 2)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.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 (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 x (+.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 (*.f64 x x) #s(literal 1/40320 binary64))))))))))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(* -1 (/ (- 1 (cos x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.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 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (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
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(+.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) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)
(+.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 (.f64 x x) #s(literal 1/40320 binary64)))))))))
(* -1 (/ (+ 1 (* -1 (cos x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (cos x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (cos x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (cos x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- 1 (cos x)) (pow x 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- 1 (cos x)) (pow x 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- 1 (cos x)) (pow x 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- 1 (cos x)) (pow x 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(.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) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(.f64 (.f64 x x) (+.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 (.f64 x x) #s(literal 1/40320 binary64))))))))))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(+.f64 (/.f64 #s(literal -1 binary64) 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)))) 1) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) (.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))))))))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(* -1 (/ (cos x) x))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (*.f64 x x) #s(literal 61/720 binary64)))))))))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))
(/ x (cos x))
(/.f64 x (cos.f64 x))

eval233.0ms (2.2%)

Compiler: Compiled 45899 to 3187 computations (93.1% saved)

prune215.0ms (2.1%)

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	2044	7	2051
Fresh	0	8	8
Picked	3	2	5
Done	1	6	7
Total	2048	23	2071

Accuracy

100.0%

Counts

2071 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	49.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	49.2%	(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))))
	11.1%	(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
	41.4%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
✓	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	75.1%	(/.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))))
	31.2%	(/.f64 #s(literal 6 binary64) (*.f64 x x))
✓	49.2%	(/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
	81.6%	(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64)) #s(literal -2 binary64)))
✓	81.6%	(/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -2 binary64)))
	49.2%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 x))) x))
	48.2%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
	53.8%	(+.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)))))
✓	53.4%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
✓	75.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	48.4%	(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
	49.1%	(neg.f64 (/.f64 (-.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)) x))
	31.7%	(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))) x))
	31.6%	(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x))
	49.2%	(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) x))
✓	54.3%	#s(literal 1/2 binary64)
	28.3%	#s(literal 0 binary64)

Compiler

Compiled 804 to 329 computations (59.1% saved)

regimes26.0ms (0.2%)

Counts

44 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -2 binary64)))
(neg.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x) x))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64)) #s(literal -2 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) (.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))) x) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 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 (cos.f64 x) #s(literal 1 binary64)) (/.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 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.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 (cos.f64 x) #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 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))))
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)) x))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) 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 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) x))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 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 (.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 (*.f64 x x) x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.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))))

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

Calls

2 calls:

13.0ms	x
10.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.8%	2	`x`
99.7%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes26.0ms (0.2%)

Counts

42 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -2 binary64)))
(neg.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x) x))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64)) #s(literal -2 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) (.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))) x) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 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 (cos.f64 x) #s(literal 1 binary64)) (/.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 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.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 (cos.f64 x) #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 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))))
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)) x))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) 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 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (cos.f64 x))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 x)))) x))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 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 (.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 (*.f64 x x) x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))

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

Calls

2 calls:

12.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
11.0ms	x

Results

Accuracy	Segments	Branch
99.7%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.7%	2	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes12.0ms (0.1%)

Counts

32 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -2 binary64)))
(neg.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x) x))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64)) #s(literal -2 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) (.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))) x) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 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 (cos.f64 x) #s(literal 1 binary64)) (/.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 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.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 (cos.f64 x) #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 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))))
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)) x))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) 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 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 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:

9.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -2 binary64)))
(neg.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x) x))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64)) #s(literal -2 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) (.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))) x) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 5/24 binary64)))))))) x))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
81.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
81.6%	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 6 binary64) (*.f64 x x))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
81.3%	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
79.4%	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
28.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
8.0ms	0.0016244962138580045	59802.91372995439

Results

6.0ms

64×

valid

Compiler

Compiled 125 to 85 computations (32% saved)

Precisions

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

ival-div: 2.0ms (50.2% of total)

ival-cos: 1.0ms (25.1% of total)

ival-sub: 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)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0016244962138580045	59802.91372995439

Results

9.0ms

144×

valid

Compiler

Compiled 274 to 189 computations (31% saved)

Precisions

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

ival-cos: 2.0ms (40.5% of total)

ival-sub: 1.0ms (20.2% of total)

ival-div: 1.0ms (20.2% of total)

ival-mult: 1.0ms (20.2% 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
15.0ms	0.0016244962138580045	59802.91372995439

Results

9.0ms

144×

valid

Compiler

Compiled 238 to 162 computations (31.9% saved)

Precisions

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

ival-cos: 2.0ms (40.5% of total)

ival-sub: 1.0ms (20.2% of total)

ival-div: 1.0ms (20.2% of total)

ival-mult: 1.0ms (20.2% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0016244962138580045	59802.91372995439

Results

12.0ms

144×

valid

Compiler

Compiled 157 to 117 computations (25.5% saved)

Precisions

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

ival-cos: 4.0ms (55.2% of total)

ival-sub: 1.0ms (13.8% of total)

ival-div: 1.0ms (13.8% of total)

ival-mult: 1.0ms (13.8% 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	0.0016244962138580045	59802.91372995439

Results

12.0ms

144×

valid

Compiler

Compiled 103 to 81 computations (21.4% saved)

Precisions

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

ival-cos: 4.0ms (53.3% of total)

ival-sub: 1.0ms (13.3% of total)

ival-div: 1.0ms (13.3% of total)

ival-mult: 1.0ms (13.3% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.6382823442521813e+76	5.618740293911034e+78

Results

10.0ms

112×

valid

Compiler

Compiled 55 to 51 computations (7.3% saved)

Precisions

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

ival-cos: 4.0ms (62.2% of total)

ival-sub: 1.0ms (15.6% of total)

ival-div: 1.0ms (15.6% of total)

ival-mult: 1.0ms (15.6% of total)

const: 0.0ms (0% of total)

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

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	124
1	66	124
2	69	124
3	71	124
4	72	124

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 1152921504606847/576460752303423488 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 (sin.f64 x) (.f64 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 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) 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)))
(/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -2 binary64)))
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 x #s(literal 1152921504606847/576460752303423488 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 (sin.f64 x) (.f64 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 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) 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) x) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 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)))
(/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -2 binary64)))
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness2.4s (23.3%)

Rules

4670×	`-lowering-.f32`
4670×	`-lowering-.f64`
4270×	`/-lowering-/.f32`
4270×	`/-lowering-/.f64`
3914×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	1541
1	384	1286
2	1089	1281
3	3595	1275
4	6917	1275
0	8219	1275
0	42	278
1	114	224
2	318	224
3	829	224
4	1947	224
5	2958	224
6	3544	224
7	4867	224
0	8021	224
0	27	108
1	176	98
2	1631	97
0	8422	97
0	151	1681
1	395	1389
2	1044	1386
3	3329	1374
4	6238	1374
0	8143	1374
0	24	89
1	179	82
2	1493	81
0	8758	81
0	6	15
1	38	15
2	273	15
3	2948	15
0	8608	15

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
1×	iter limit
1×	node limit

Compiler

Compiled 286 to 163 computations (43% saved)

preprocess61.0ms (0.6%)

Compiler: Compiled 326 to 150 computations (54% saved)

analyze2.0ms (0%)

sample1.9s (18.5%)

preprocess109.0ms (1%)

explain183.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify77.0ms (0.7%)

localize98.0ms (0.9%)

series3.0ms (0%)

rewrite313.0ms (3%)

simplify173.0ms (1.6%)

eval59.0ms (0.6%)

prune121.0ms (1.2%)

simplify157.0ms (1.5%)

localize271.0ms (2.6%)

series13.0ms (0.1%)

rewrite433.0ms (4.1%)

simplify251.0ms (2.4%)

eval259.0ms (2.5%)

prune139.0ms (1.3%)

simplify221.0ms (2.1%)

localize386.0ms (3.7%)

series16.0ms (0.2%)

rewrite392.0ms (3.7%)

simplify294.0ms (2.8%)

eval141.0ms (1.3%)

prune118.0ms (1.1%)

simplify163.0ms (1.5%)

localize303.0ms (2.9%)

series13.0ms (0.1%)

rewrite422.0ms (4%)

simplify268.0ms (2.6%)

eval233.0ms (2.2%)

prune215.0ms (2.1%)

regimes26.0ms (0.2%)

regimes26.0ms (0.2%)

regimes12.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch9.0ms (0.1%)

bsearch16.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch21.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch15.0ms (0.1%)

simplify22.0ms (0.2%)

soundness2.4s (23.3%)

preprocess61.0ms (0.6%)

end0.0ms (0%)

Profiling