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 (18.3%)

Results

855.0ms	1959×	2	valid
436.0ms	4189×	0	valid
375.0ms	2108×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-cos: 962.0ms (69% of total)

ival-sub: 115.0ms (8.3% of total)

ival-div: 111.0ms (8% of total)

ival-mult: 104.0ms (7.5% of total)

backward-pass: 87.0ms (6.2% of total)

const: 15.0ms (1.1% of total)

Bogosity

preprocess117.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	38	25
2	111	24
3	309	24
4	835	24
5	1930	24
6	3633	24
7	3842	24
0	6	8
1	15	8
2	27	8
3	45	8
4	84	8
5	144	8
6	235	8
7	463	8
8	1139	8
9	2518	8
10	4027	8
11	4047	8
0	4047	8

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

Symmetry

(abs x)

explain144.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
73	0	-	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
64	1	(2.9288569386744653e+161)	-	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	0	-	-	`x`
0	0	-	-	`(*.f64 x x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(cos.f64 x)`

Results

61.0ms	124×	2	valid
24.0ms	258×	0	valid
22.0ms	130×	1	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-cos: 53.0ms (69% of total)

ival-div: 6.0ms (7.8% of total)

ival-mult: 6.0ms (7.8% of total)

backward-pass: 6.0ms (7.8% of total)

ival-sub: 5.0ms (6.5% of total)

const: 1.0ms (1.3% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify65.0ms (0.6%)

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	19
1	15	19
2	27	19
3	45	19
4	84	19
5	144	19
6	235	19
7	463	19
8	1139	19
9	2518	19
10	4027	19
11	4047	19
0	4047	19

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)

localize66.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	76.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	accuracy	75.3%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

32.0ms	62×	2	valid
12.0ms	129×	0	valid
11.0ms	65×	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: 27.0ms (69.4% of total)

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

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

backward-pass: 3.0ms (7.7% of total)

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

const: 0.0ms (0% of total)

series11.0ms (0.1%)

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
2.0ms	x	@	-inf	(- 1 (cos x))
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))

rewrite309.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

2600×	`-lowering-.f32`
2600×	`-lowering-.f64`
2226×	`fma-lowering-fma.f32`
2226×	`fma-lowering-fma.f64`
1948×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	36	17
2	268	17
3	2905	17
0	8648	17

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 462

Calls

Call 1

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

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

simplify243.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2236×	`sum3-define`
2048×	`fma-lowering-fma.f32`
2048×	`fma-lowering-fma.f64`
1796×	`sum4-define`
1588×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	278
1	113	266
2	315	266
3	818	266
4	1931	266
5	2941	266
6	3513	266
7	4835	266
0	8655	266

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval63.0ms (0.6%)

Compiler: Compiled 13161 to 1210 computations (90.8% saved)

prune78.0ms (0.8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	493	17	510
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	493	18	511

Accuracy

100.0%

Counts

511 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
▶	51.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	21.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (*.f64 x x)))
	43.3%	(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
▶	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	24.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
	75.3%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
	50.4%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
	50.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	50.7%	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
	51.3%	(+.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)))))
	50.8%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
	51.5%	(*.f64 (pow.f64 (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
▶	76.0%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	50.4%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
	51.5%	(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x))
▶	52.1%	#s(literal 1/2 binary64)

Compiler

Compiled 419 to 254 computations (39.4% saved)

simplify230.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 #s(literal 1 binary64) x)
✓	cost-diff	256	(.f64 (.f64 x x) (/.f64 (cos.f64 x) x))
✓	cost-diff	384	(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x)))
✓	cost-diff	640	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(/.f64 (sin.f64 x) (*.f64 x x))
✓	cost-diff	0	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Rules

2756×	`-lowering-.f32`
2756×	`-lowering-.f64`
1704×	`sum4-define`
1172×	`/-lowering-/.f32`
1172×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	116
1	65	116
2	221	107
3	865	107
4	2073	107
5	4097	107
6	7519	107
0	8004	107

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize210.0ms (2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (cos.f64 x) x)
✓	accuracy	83.3%	(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 (cos.f64 x) x)))
✓	accuracy	61.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (*.f64 x x)))
✓	accuracy	55.9%	(.f64 (.f64 x x) (/.f64 (cos.f64 x) x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	accuracy	76.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	75.3%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	accuracy	77.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	accuracy	75.3%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.7%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	accuracy	77.0%	(/.f64 (sin.f64 x) (*.f64 x x))

Results

57.0ms	62×	2	valid
47.0ms	129×	0	valid
43.0ms	25×	3	valid
22.0ms	40×	1	valid

Compiler

Compiled 139 to 24 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-cos: 32.0ms (28.7% of total)

ival-div: 28.0ms (25.1% of total)

ival-mult: 17.0ms (15.3% of total)

backward-pass: 11.0ms (9.9% of total)

ival-sub: 10.0ms (9% of total)

ival-sin: 8.0ms (7.2% of total)

ival-tan: 6.0ms (5.4% of total)

const: 1.0ms (0.9% of total)

series24.0ms (0.2%)

Counts

16 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(/ (- 1 (cos x)) (/ x (/ 1 x)))
2.0ms	x	@	-inf	(/ (- (* 1 x) (* (* x x) (/ (cos x) x))) (* x (* x x)))
1.0ms	x	@	inf	(* (/ (sin x) (* x x)) (tan (/ x 2)))
1.0ms	x	@	-inf	(* (/ (sin x) (* x x)) (tan (/ x 2)))
1.0ms	x	@	inf	(/ (- (* 1 x) (* (* x x) (/ (cos x) x))) (* x (* x x)))

rewrite334.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3490×	`/-lowering-/.f32`
3490×	`/-lowering-/.f64`
2774×	`-lowering-.f32`
2774×	`-lowering-.f64`
1534×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	88
1	154	88
2	1226	79
0	8762	79

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1270

Calls

Call 1

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

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

simplify252.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3714×	`-lowering-.f32`
3714×	`-lowering-.f64`
2786×	`+-lowering-+.f64`
2786×	`+-lowering-+.f32`
1872×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1318
1	341	1258
2	950	1244
3	2822	1244
4	5052	1244
5	6010	1244
6	6914	1244
0	8134	1244

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
x
x
x
x
x
x
x
x
x
x
x
x
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)

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

eval203.0ms (2%)

Compiler: Compiled 37479 to 2805 computations (92.5% saved)

prune474.0ms (4.6%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	1615	18	1633
Fresh	9	3	12
Picked	2	3	5
Done	0	1	1
Total	1626	25	1651

Accuracy

100.0%

Counts

1651 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
✓	51.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	25.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
	76.3%	(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) x)
	28.2%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) x)
▶	51.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x)
	50.4%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	51.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	51.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	51.1%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 (cos.f64 x) x)) x)
	21.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x))))
▶	2.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 x (*.f64 x x)))
▶	21.4%	(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (.f64 x x)))
✓	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	51.5%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
	27.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
	10.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (cos.f64 x))))))
	50.6%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
	50.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
▶	50.8%	(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
	51.3%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
	51.5%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
▶	99.9%	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
✓	52.1%	#s(literal 1/2 binary64)

Compiler

Compiled 617 to 353 computations (42.8% saved)

simplify177.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	256	(.f64 (.f64 x x) (/.f64 (cos.f64 x) x))
✓	cost-diff	256	(-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x)))
✓	cost-diff	512	(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (.f64 x x)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x)
✓	cost-diff	128	(*.f64 #s(literal 1 binary64) x)
✓	cost-diff	384	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	640	(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	1024	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/24 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
✓	cost-diff	0	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(/.f64 (sin.f64 x) x)
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))

Rules

2788×	`-lowering-.f32`
2788×	`-lowering-.f64`
1424×	`/-lowering-/.f32`
1424×	`/-lowering-/.f64`
1424×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	156
1	88	138
2	348	121
3	1597	121
4	3376	121
5	5800	121
0	8317	121

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* (/ (sin x) x) (/ (tan (/ x 2)) x))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
x
(/ (tan (/ x 2)) x)
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) 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 (* (* x x) 1/24))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
1/2
#s(literal 1/2 binary64)
(* (* x x) 1/24)
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* x x)
(*.f64 x x)
x
1/24
#s(literal 1/24 binary64)
(/ (- (* 1 x) (* (* x x) (/ 1 x))) (* x (* x x)))
#s(literal 0 binary64)
(- (* 1 x) (* (* x x) (/ 1 x)))
#s(literal 0 binary64)
(* 1 x)
x
1
#s(literal 1 binary64)
x
(* (* x x) (/ 1 x))
x
(* x x)
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* x (* x x))
(.f64 x (.f64 x x))
(/ (/ 1 (/ x (- 1 (cos x)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 (/ x (- 1 (cos x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
1
#s(literal 1 binary64)
(/ x (- 1 (cos x)))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
x
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (- x (* (* x x) (/ (cos x) x))) (* x (* x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(- x (* (* x x) (/ (cos x) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
x
(* (* x x) (/ (cos x) x))
(*.f64 x (cos.f64 x))
(* x x)
(*.f64 x x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(cos x)
(cos.f64 x)
(* x (* x x))
(.f64 x (.f64 x x))

localize402.0ms (3.9%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (cos.f64 x) x)
✓	accuracy	83.3%	(-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x)))
✓	accuracy	61.8%	(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (.f64 x x)))
✓	accuracy	55.9%	(.f64 (.f64 x x) (/.f64 (cos.f64 x) x))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	accuracy	77.2%	(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	75.3%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	68.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 x (*.f64 x x)))
✓	accuracy	55.9%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/24 binary64))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.9%	(/.f64 (sin.f64 x) x)
✓	accuracy	99.9%	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
✓	accuracy	99.8%	(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)

Results

189.0ms	122×	3	valid
157.0ms	134×	2	valid

Compiler

Compiled 184 to 30 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-div: 50.0ms (20.7% of total)

backward-pass: 46.0ms (19% of total)

ival-mult: 40.0ms (16.5% of total)

ival-cos: 40.0ms (16.5% of total)

ival-sub: 29.0ms (12% of total)

ival-tan: 15.0ms (6.2% of total)

ival-sin: 13.0ms (5.4% of total)

...c/correct-round.rkt:119:19: 8.0ms (3.3% of total)

const: 1.0ms (0.4% of total)

series8.0ms (0.1%)

Counts

20 → 240

Calls

Call 1

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

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* 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 0>
#<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 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 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 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 1/6 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x)>
#<alt (/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x)>
#<alt (/ x (- 1 (cos x)))>
#<alt (/ x (- 1 (cos x)))>
#<alt (/ x (- 1 (cos x)))>
#<alt (/ x (- 1 (cos x)))>
#<alt (/ x (- 1 (cos x)))>
#<alt (/ x (- 1 (cos x)))>
#<alt (/ x (- 1 (cos x)))>
#<alt (/ x (- 1 (cos x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (* x (- 1 (cos x)))>
#<alt (* x (- 1 (cos x)))>
#<alt (* x (- 1 (cos x)))>
#<alt (* x (- 1 (cos x)))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>

Calls

60 calls:

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

rewrite416.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3902×	`/-lowering-/.f32`
3902×	`/-lowering-/.f64`
3046×	`-lowering-.f32`
3046×	`-lowering-.f64`
1978×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	126
1	211	97
2	1798	95
0	8874	95

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1397

Calls

Call 1

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

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

simplify264.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4240×	`-lowering-.f32`
4240×	`-lowering-.f64`
2606×	`+-lowering-+.f64`
2606×	`+-lowering-+.f32`
1804×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1413
1	377	1346
2	1042	1332
3	3061	1332
4	5331	1332
5	6332	1332
0	8160	1332

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) (- (* 1/720 (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
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* 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)
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ 2 x)
(/ (+ 2 (* 1/6 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x)
(/ x (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ x (- 1 (cos x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)

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

eval272.0ms (2.6%)

Compiler: Compiled 43267 to 4304 computations (90.1% saved)

prune232.0ms (2.2%)

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	1804	6	1810
Fresh	2	14	16
Picked	1	4	5
Done	0	4	4
Total	1807	28	1835

Accuracy

100.0%

Counts

1835 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
✓	51.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	76.3%	(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) x)
	28.2%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) x)
▶	76.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)) x)
✓	51.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x)
▶	28.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
	51.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
▶	50.4%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	51.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
▶	51.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	51.1%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 (cos.f64 x) x)) x)
	9.9%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (cos.f64 x) x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))
	21.5%	(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x))))
✓	21.4%	(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (.f64 x x)))
✓	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	51.5%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
	27.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
	10.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (cos.f64 x))))))
	50.6%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
	50.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
✓	50.8%	(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
	51.3%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
	51.5%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
✓	99.9%	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
✓	52.1%	#s(literal 1/2 binary64)
▶	25.6%	#s(literal 0 binary64)

Compiler

Compiled 659 to 368 computations (44.2% saved)

simplify189.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	cost-diff	0	(/.f64 (cos.f64 x) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
✓	cost-diff	128	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	cost-diff	256	(/.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	cost-diff	640	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)) x)

Rules

2180×	`-lowering-.f32`
2180×	`-lowering-.f64`
1874×	`fnmadd-define`
1452×	`+-lowering-+.f64`
1452×	`+-lowering-+.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	25	151
1	59	147
2	137	115
3	349	112
4	843	112
5	2308	109
6	5937	109
0	8047	109

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ 1 (/ (+ 2 (* (* x x) 1/6)) x)) x)
(/ 1 (/ (+ 2 (* (* x x) 1/6)) x))
1
(/ (+ 2 (* (* x x) 1/6)) x)
(+ 2 (* (* x x) 1/6))
2
(* (* x x) 1/6)
(* x x)
x
1/6
0
(/ (/ 1 (/ x (* 1/2 (* x x)))) x)
(/ 1 (/ x (* 1/2 (* x x))))
1
(/ x (* 1/2 (* x x)))
x
(* 1/2 (* x x))
1/2
(* x x)
(/ (- (/ 1 x) (/ (cos x) x)) x)
(- (/ 1 x) (/ (cos x) x))
(/ 1 x)
1
x
(/ (cos x) x)
(cos x)
(/ (/ 1 (* x x)) (/ 1 (- 1 (cos x))))
(/ 1 (* x x))
1
(* x x)
x
(/ 1 (- 1 (cos x)))
(- 1 (cos x))
(cos x)

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

localize222.0ms (2.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	76.3%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	accuracy	75.3%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
✓	accuracy	99.8%	(/.f64 (cos.f64 x) x)
✓	accuracy	52.3%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	accuracy	55.9%	(/.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	accuracy	78.4%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)

Results

79.0ms	62×	2	valid
39.0ms	129×	0	valid
38.0ms	25×	3	valid
22.0ms	40×	1	valid

Compiler

Compiled 156 to 26 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-div: 55.0ms (43% of total)

ival-cos: 33.0ms (25.8% of total)

ival-mult: 14.0ms (10.9% of total)

backward-pass: 12.0ms (9.4% of total)

...c/correct-round.rkt:119:19: 6.0ms (4.7% of total)

ival-sub: 5.0ms (3.9% of total)

ival-add: 2.0ms (1.6% of total)

const: 1.0ms (0.8% of total)

series15.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ (/ 1 (/ (+ 2 (* (* x x) 1/6)) x)) x)>
#<alt (/ 1 (/ (+ 2 (* (* x x) 1/6)) x))>
#<alt (/ (+ 2 (* (* x x) 1/6)) x)>
#<alt (+ 2 (* (* x x) 1/6))>
#<alt (/ (/ 1 (/ x (* 1/2 (* x x)))) x)>
#<alt (/ 1 (/ x (* 1/2 (* x x))))>
#<alt (/ x (* 1/2 (* x x)))>
#<alt (* 1/2 (* x x))>
#<alt (/ (- (/ 1 x) (/ (cos x) x)) x)>
#<alt (- (/ 1 x) (/ (cos x) x))>
#<alt (/ 1 x)>
#<alt (/ (cos x) x)>
#<alt (/ (/ 1 (* x x)) (/ 1 (- 1 (cos x))))>
#<alt (/ 1 (* x x))>
#<alt (* x x)>
#<alt (/ 1 (- 1 (cos x)))>
#<alt (* (* x x) 1/6)>
#<alt (cos x)>
#<alt (- 1 (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 (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24))))>
#<alt (/ 6 x)>
#<alt (/ (- 6 (* 72 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) x)>
#<alt (/ 6 x)>
#<alt (* -1 (/ (- (* 72 (/ 1 (pow x 2))) 6) x))>
#<alt (* -1 (/ (- (* 72 (/ 1 (pow x 2))) (+ 6 (/ 864 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6)))) (+ 6 (/ 864 (pow x 4)))) x))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 1/6 (pow x 2))) x)>
#<alt (/ (+ 2 (* 1/6 (pow x 2))) x)>
#<alt (/ (+ 2 (* 1/6 (pow x 2))) x)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (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 (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt 1/2>
#<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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* 1/6 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) (pow x 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 (* 1/6 (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 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 (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))>

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (+ 2 (* (* x x) 1/6)) x)
1.0ms	x	@	-inf	(/ (- (/ 1 x) (/ (cos x) x)) x)
0.0ms	x	@	inf	(/ (- (/ 1 x) (/ (cos x) x)) x)
0.0ms	x	@	-inf	(/ 1 (- 1 (cos x)))
0.0ms	x	@	inf	(/ (/ 1 (/ (+ 2 (* (* x x) 1/6)) x)) x)

rewrite363.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4572×	`/-lowering-/.f32`
4572×	`/-lowering-/.f64`
3230×	`-lowering-.f32`
3230×	`-lowering-.f64`
1710×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	119
1	173	110
2	1515	93
0	8948	93

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1226

Calls

Call 1

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

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

simplify216.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2230×	`sum3-define`
1936×	`fma-lowering-fma.f32`
1936×	`fma-lowering-fma.f64`
1898×	`-lowering-.f32`
1898×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1379
1	368	1315
2	988	1311
3	2630	1291
4	5525	1291
0	8168	1291

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/288 (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))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24))))
(/ 6 x)
(/ (- 6 (* 72 (/ 1 (pow x 2)))) x)
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) x)
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) x)
(/ 6 x)
(* -1 (/ (- (* 72 (/ 1 (pow x 2))) 6) x))
(* -1 (/ (- (* 72 (/ 1 (pow x 2))) (+ 6 (/ 864 (pow x 4)))) x))
(* -1 (/ (- (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6)))) (+ 6 (/ 864 (pow x 4)))) x))
(/ 2 x)
(/ (+ 2 (* 1/6 (pow x 2))) x)
(/ (+ 2 (* 1/6 (pow x 2))) x)
(/ (+ 2 (* 1/6 (pow x 2))) x)
(* 1/6 x)
(* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (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
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
1/2
(+ 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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2 (pow x 2))
(/ (+ 2 (* 1/6 (pow x 2))) (pow x 2))
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) (pow x 2))
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) (pow x 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)))
(* 1/6 (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))
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 (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))

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 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x 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 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 864 binary64) x) (.f64 x (.f64 x x)))) (.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 10368 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -864 binary64) x) (.f64 x (.f64 x x)))))) (.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 864 binary64) x) (.f64 x (.f64 x x)))) (.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 10368 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -864 binary64) x) (.f64 x (.f64 x x)))))) (.f64 x x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/288 binary64))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/288 binary64) (.f64 (*.f64 x x) #s(literal -1/3456 binary64))))))))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ (- 6 (* 72 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 864 binary64) x) (.f64 x (*.f64 x x)))) x)
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 10368 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -864 binary64) x) (.f64 x (*.f64 x x)))))) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(* -1 (/ (- (* 72 (/ 1 (pow x 2))) 6) x))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 72 (/ 1 (pow x 2))) (+ 6 (/ 864 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 864 binary64) x) (.f64 x (*.f64 x x)))) x)
(* -1 (/ (- (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6)))) (+ 6 (/ 864 (pow x 4)))) x))
(/.f64 (-.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 10368 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -864 binary64) x) (.f64 x (*.f64 x x)))))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 1/6 (pow x 2))) x)
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))
(/ (+ 2 (* 1/6 (pow x 2))) x)
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))
(/ (+ 2 (* 1/6 (pow x 2))) x)
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))
(* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))
(* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))
(* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))
(* x (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))
2
#s(literal 2 binary64)
(+ 2 (* 1/6 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+ 2 (* 1/6 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+ 2 (* 1/6 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.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) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.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) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.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 (.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 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))))
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
1/2
#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 (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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 1/6 (pow x 2))) (pow x 2))
(.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64))
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/3024 binary64))))))) (*.f64 x x))
(/ 1 (- 1 (cos x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 1 (- 1 (cos x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 1 (- 1 (cos x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 1 (- 1 (cos x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 1 (- 1 (cos x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 1 (- 1 (cos x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 1 (- 1 (cos x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 1 (- 1 (cos x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 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)))
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 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 (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 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 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))))))))
(- 1 (cos x))
(-.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))

eval213.0ms (2.1%)

Compiler: Compiled 29119 to 3227 computations (88.9% saved)

prune166.0ms (1.6%)

Pruning

49 alts after pruning (38 fresh and 11 done)

	Pruned	Kept	Total
New	1512	27	1539
Fresh	4	11	15
Picked	1	4	5
Done	1	7	8
Total	1518	49	1567

Accuracy

100.0%

Counts

1567 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
✓	51.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	27.4%	(/.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) x)
	76.3%	(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) x)
	77.1%	(/.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) x)
	29.1%	(/.f64 (/.f64 #s(literal 6 binary64) x) x)
	53.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.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))) x)) x)
	52.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) x)
	76.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) x)) x)
	76.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64))) x)) x)
	76.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/6 binary64))) x)) x)
✓	76.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)) x)
	53.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))) x)
	51.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))) x)
	29.2%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x)) x)
✓	51.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x)
	76.9%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))) x)
✓	50.4%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	52.8%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
	77.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
	51.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	51.1%	(/.f64 (-.f64 (/.f64 x (*.f64 x x)) (/.f64 (cos.f64 x) x)) x)
✓	51.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	9.9%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (cos.f64 x) x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))
	21.5%	(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x))))
✓	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	53.0%	(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) x)
	51.7%	(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))) x)
	53.1%	(/.f64 (.f64 (/.f64 x (-.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)))) x)
	51.8%	(/.f64 (.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))) x)
	51.5%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
	29.2%	(/.f64 #s(literal 6 binary64) (*.f64 x x))
	10.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (cos.f64 x))))))
	76.9%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x) (-.f64 #s(literal 0 binary64) x)))
	50.6%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
	50.7%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
✓	50.8%	(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
	51.3%	(+.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)))))
	53.1%	(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) x) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
	53.0%	(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
	51.8%	(.f64 (/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) x) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
	76.3%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
	51.5%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
✓	99.9%	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
	76.9%	(.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) x))
	76.9%	(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (/.f64 #s(literal -1 binary64) x))
✓	52.1%	#s(literal 1/2 binary64)
✓	25.6%	#s(literal 0 binary64)

Compiler

Compiled 1898 to 739 computations (61.1% saved)

regimes42.0ms (0.4%)

Counts

69 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) x)
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x)) x)
(/.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) x)
(.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) 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 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)) x)
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) x)) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64))) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/6 binary64))) x)) x)
(/.f64 (.f64 (/.f64 x (-.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)))) x)
(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) x) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.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))) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))) x)
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) x)
(/.f64 (.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))) x)
(.f64 (/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) x) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 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 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))) x)
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) #s(literal 1 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)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.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 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (-.f64 (/.f64 x (*.f64 x x)) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 (cos.f64 x) x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (.f64 x x)))
(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (cos.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (cos.f64 x) x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) x)
(*.f64 (pow.f64 (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))

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

Calls

2 calls:

20.0ms	x
15.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes41.0ms (0.4%)

Counts

64 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) x)
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x)) x)
(/.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) x)
(.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) 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 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)) x)
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) x)) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64))) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/6 binary64))) x)) x)
(/.f64 (.f64 (/.f64 x (-.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)))) x)
(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) x) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.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))) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))) x)
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) x)
(/.f64 (.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))) x)
(.f64 (/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) x) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 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 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))) x)
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) #s(literal 1 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)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.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 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x (*.f64 x x)))
(/.f64 (-.f64 (/.f64 x (*.f64 x x)) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 (cos.f64 x) x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (.f64 x x)))
(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (cos.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (cos.f64 x) x))) (.f64 (.f64 x (.f64 x (.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) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	2	`x`
99.3%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes18.0ms (0.2%)

Counts

49 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) x)
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x)) x)
(/.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) x)
(.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) 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 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)) x)
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) x)) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64))) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/6 binary64))) x)) x)
(/.f64 (.f64 (/.f64 x (-.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)))) x)
(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) x) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.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))) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))) x)
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) x)
(/.f64 (.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))) x)
(.f64 (/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) x) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 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 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))) x)
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) #s(literal 1 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)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0.2%)

Counts

40 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) x)
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x)) x)
(/.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) x)
(.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) 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 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)) x)
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) x)) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64))) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/6 binary64))) x)) x)
(/.f64 (.f64 (/.f64 x (-.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)))) x)
(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) x) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.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))) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))) x)
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) x)
(/.f64 (.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))) x)
(.f64 (/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) x) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 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 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))) x)
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.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:

12.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes15.0ms (0.1%)

Counts

39 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) x)
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x)) x)
(/.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) x)
(.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) 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 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)) x)
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) x)) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64))) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/6 binary64))) x)) x)
(/.f64 (.f64 (/.f64 x (-.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)))) x)
(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) x) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.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))) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))) x)
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) x)
(/.f64 (.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))) x)
(.f64 (/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) x) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 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 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))) x)
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))) x)

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
77.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
76.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

11 → 2

Calls

Call 1

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

4.0ms

Results

Accuracy	Segments	Branch
77.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 6 binary64) 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
76.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
74.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (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:

3.0ms

Results

Accuracy	Segments	Branch
25.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.00046898366594290094	25723.623043327232

Results

8.0ms

144×

valid

Compiler

Compiled 256 to 171 computations (33.2% saved)

Precisions

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

ival-cos: 2.0ms (41.1% of total)

ival-sub: 1.0ms (20.5% of total)

ival-div: 1.0ms (20.5% of total)

ival-mult: 1.0ms (20.5% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.00046898366594290094	25723.623043327232

Results

8.0ms

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 (41.1% of total)

ival-sub: 1.0ms (20.5% of total)

ival-div: 1.0ms (20.5% of total)

ival-mult: 1.0ms (20.5% 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	0.00046898366594290094	25723.623043327232

Results

8.0ms

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 (40.6% of total)

ival-sub: 1.0ms (20.3% of total)

ival-div: 1.0ms (20.3% of total)

ival-mult: 1.0ms (20.3% 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	0.00046898366594290094	25723.623043327232

Results

10.0ms

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 (60.4% of total)

ival-sub: 1.0ms (15.1% of total)

ival-div: 1.0ms (15.1% of total)

ival-mult: 1.0ms (15.1% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.00046898366594290094	25723.623043327232

Results

10.0ms

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 (59% of total)

ival-sub: 1.0ms (14.8% of total)

ival-div: 1.0ms (14.8% of total)

ival-mult: 1.0ms (14.8% 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
11.0ms	1.1346607189295016e+77	1.35061670428234e+78

Results

8.0ms

96×

valid

Compiler

Compiled 49 to 45 computations (8.2% saved)

Precisions

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

ival-cos: 4.0ms (71.8% of total)

ival-sub: 1.0ms (17.9% of total)

ival-div: 1.0ms (17.9% of total)

ival-mult: 1.0ms (17.9% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

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	54	143
1	69	143
2	73	143
3	75	143
4	76	143

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(if (<=.f64 x #s(literal 1188950301625811/36028797018963968 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) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x))
(if (<=.f64 x #s(literal 1188950301625811/36028797018963968 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 1188950301625811/36028797018963968 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 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))) x)
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 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 7656119366529843/2251799813685248 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 164999999999999990088603704975509451249150407477010779866365775715099928952832 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(if (<=.f64 x #s(literal 1188950301625811/36028797018963968 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) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x))
(if (<=.f64 x #s(literal 1188950301625811/36028797018963968 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 1188950301625811/36028797018963968 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 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) x))) x)
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 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 3602879701896397/1125899906842624 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 7656119366529843/2251799813685248 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 164999999999999990088603704975509451249150407477010779866365775715099928952832 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness2.1s (20.8%)

Rules

4572×	`/-lowering-/.f32`
4572×	`/-lowering-/.f64`
4240×	`-lowering-.f32`
4240×	`-lowering-.f64`
3714×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	1318
1	341	1258
2	950	1244
3	2822	1244
4	5052	1244
5	6010	1244
6	6914	1244
0	8134	1244
0	24	119
1	173	110
2	1515	93
0	8948	93
0	22	88
1	154	88
2	1226	79
0	8762	79
0	132	1379
1	368	1315
2	988	1311
3	2630	1291
4	5525	1291
0	8168	1291
0	42	278
1	113	266
2	315	266
3	818	266
4	1931	266
5	2941	266
6	3513	266
7	4835	266
0	8655	266
0	6	17
1	36	17
2	268	17
3	2905	17
0	8648	17
0	131	1413
1	377	1346
2	1042	1332
3	3061	1332
4	5331	1332
5	6332	1332
0	8160	1332

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
1×	iter limit
1×	node limit

Compiler

Compiled 490 to 277 computations (43.5% saved)

preprocess64.0ms (0.6%)

Remove: (abs x)
Compiler: Compiled 330 to 136 computations (58.8% saved)

analyze2.0ms (0%)

sample1.9s (18.3%)

preprocess117.0ms (1.1%)

explain144.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify65.0ms (0.6%)

localize66.0ms (0.6%)

series11.0ms (0.1%)

rewrite309.0ms (3%)

simplify243.0ms (2.3%)

eval63.0ms (0.6%)

prune78.0ms (0.8%)

simplify230.0ms (2.2%)

localize210.0ms (2%)

series24.0ms (0.2%)

rewrite334.0ms (3.2%)

simplify252.0ms (2.4%)

eval203.0ms (2%)

prune474.0ms (4.6%)

simplify177.0ms (1.7%)

localize402.0ms (3.9%)

series8.0ms (0.1%)

rewrite416.0ms (4%)

simplify264.0ms (2.6%)

eval272.0ms (2.6%)

prune232.0ms (2.2%)

simplify189.0ms (1.8%)

localize222.0ms (2.2%)

series15.0ms (0.1%)

rewrite363.0ms (3.5%)

simplify216.0ms (2.1%)

eval213.0ms (2.1%)

prune166.0ms (1.6%)

regimes42.0ms (0.4%)

regimes41.0ms (0.4%)

regimes18.0ms (0.2%)

regimes16.0ms (0.2%)

regimes15.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch15.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch15.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch15.0ms (0.1%)

simplify10.0ms (0.1%)

soundness2.1s (20.8%)

preprocess64.0ms (0.6%)

end0.0ms (0%)

Profiling