Metrics for Trigonometry B

analyze479.0ms (4.8%)

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
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
50%	50%	50%	0%	0%	0%	0%	6
50%	50%	50%	0%	0%	0%	0%	7
50%	50%	50%	0%	0%	0%	0%	8
50%	50%	50%	0%	0%	0%	0%	9
50%	50%	50%	0%	0%	0%	0%	10
50%	50%	50%	0%	0%	0%	0%	11
50%	50%	50%	0%	0%	0%	0%	12

Compiler

Compiled 17 to 8 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 44.0ms (47.9% of total)

ival-tan: 18.0ms (19.6% of total)

ival-add: 11.0ms (12% of total)

ival-sub: 10.0ms (10.9% of total)

ival-div: 5.0ms (5.4% of total)

const: 2.0ms (2.2% of total)

backward-pass: 1.0ms (1.1% of total)

sample906.0ms (9.2%)

Results

700.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 472.0ms

ival-tan: 231.0ms (48.9% of total)

ival-mult: 67.0ms (14.2% of total)

ival-sub: 63.0ms (13.3% of total)

ival-div: 56.0ms (11.9% of total)

ival-add: 41.0ms (8.7% of total)

const: 11.0ms (2.3% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess231.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

2398×	`fnmadd-define`
2362×	`sum3-define`
1916×	`sum4-define`
1876×	`fma-define`
1672×	`sum4-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	45	33
2	91	33
3	210	33
4	515	33
5	1203	33
6	2793	33
7	3927	33
8	7735	33
0	7	11
1	19	11
2	32	11
3	55	11
4	103	11
5	202	11
6	418	11
7	835	11
8	2949	11
9	7783	11
0	8075	11

Stop Event

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

Calls

Call 1

Inputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))

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

Call 2

Inputs

(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))

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

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

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

Symmetry

(abs x)

explain104.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))`
0	-	-	`x`
0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(tan.f64 x)`
0	-	-	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
0	-	-	`(*.f64 (tan.f64 x) (tan.f64 x))`

Results

55.0ms

512×

valid

Compiler

Compiled 96 to 23 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-tan: 12.0ms (36.8% of total)

ival-div: 7.0ms (21.4% of total)

ival-add: 6.0ms (18.4% of total)

ival-mult: 4.0ms (12.3% of total)

ival-sub: 3.0ms (9.2% of total)

const: 1.0ms (3.1% of total)

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

eval0.0ms (0%)

Compiler: Compiled 16 to 7 computations (56.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 16 to 7 computations (56.3% saved)

simplify174.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2362×	`sum3-define`
1672×	`sum4-define`
1424×	`fma-define`
1118×	`fnmadd-define`
868×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	19	28
2	32	28
3	55	28
4	103	28
5	202	28
6	418	28
7	835	28
8	2949	28
9	7783	28
0	8075	28

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(- 1 (* (tan x) (tan x)))
1
(* (tan x) (tan x))
(tan x)
x
(+ 1 (* (tan x) (tan x)))

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

localize45.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	accuracy	99.8%	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))

Results

32.0ms

256×

valid

Compiler

Compiled 40 to 8 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 8.0ms (43.1% of total)

ival-tan: 6.0ms (32.3% of total)

ival-mult: 2.0ms (10.8% of total)

ival-sub: 1.0ms (5.4% of total)

ival-add: 1.0ms (5.4% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>

Calls

15 calls:

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

rewrite271.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2852×	`-lowering-.f32`
2852×	`-lowering-.f64`
2754×	`/-lowering-/.f32`
2754×	`/-lowering-/.f64`
1792×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	26
1	47	26
2	371	26
3	5430	26
0	8109	26

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 503

Calls

Call 1

Inputs
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
(- 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(tan x)
(+ 1 (* (tan x) (tan x)))

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

simplify205.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

3384×	`+-lowering-+.f64`
3384×	`+-lowering-+.f32`
2564×	`-lowering-.f32`
2564×	`-lowering-.f64`
1854×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	684
1	224	546
2	722	500
3	2452	500
4	4111	500
5	7020	500
0	8060	500

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) #s(literal -17/45 binary64))))))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 17/45 binary64)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 17/45 binary64))))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))

eval95.0ms (1%)

Compiler: Compiled 19851 to 1752 computations (91.2% saved)

prune132.0ms (1.3%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	686	32	718
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	687	32	719

Accuracy

100.0%

Counts

719 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.4%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
▶	99.6%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	99.5%	(/.f64 (fma.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (fma.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	98.9%	(/.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
▶	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
▶	52.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
	52.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))))
	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
	59.8%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.2%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.4%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	51.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
	51.7%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
	51.8%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
	99.4%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)))
▶	55.6%	#s(literal 1 binary64)

Compiler

Compiled 1432 to 774 computations (45.9% saved)

simplify163.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
✓	cost-diff	6528	(fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
✓	cost-diff	6528	(/.f64 (fma.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))
✓	cost-diff	256	(+.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (tan.f64 x))
✓	cost-diff	6400	(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
✓	cost-diff	6400	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))

Rules

2524×	`-lowering-.f32`
2524×	`-lowering-.f64`
2032×	`+-lowering-+.f64`
2032×	`+-lowering-+.f32`
1364×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	370
1	119	342
2	332	332
3	1055	330
4	3310	324
5	6937	324
0	8270	324

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ 1 (* (tan x) (tan x))))
(+ (* (- 0 (tan x)) (tan x)) 1)
(- 0 (tan x))
0
(tan x)
x
1
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
1
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))))
(- 1 (* (tan x) (tan x)))
1
(* (tan x) (tan x))
(tan x)
x
(+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(* x x)
(+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))
1/3
(* x (* x (+ 2/15 (* (* x x) 17/315))))
(* x (+ 2/15 (* (* x x) 17/315)))
(+ 2/15 (* (* x x) 17/315))
2/15
(* (* x x) 17/315)
17/315
(/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- 1 (* (tan x) (tan x)))
1
(* (tan x) (tan x))
(tan x)
x
(+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(- 1/2 (* 1/2 (cos (* 2 x))))
1/2
(* 1/2 (cos (* 2 x)))
(cos (* 2 x))
(* 2 x)
2
(+ 1/2 (* 1/2 (cos (* 2 x))))
(/ (+ (* (* (sin x) (- 0 (tan x))) (/ 1 (cos x))) 1) (+ 1 (* (tan x) (tan x))))
(+ (* (* (sin x) (- 0 (tan x))) (/ 1 (cos x))) 1)
(* (sin x) (- 0 (tan x)))
(sin x)
x
(- 0 (tan x))
0
(tan x)
(/ 1 (cos x))
1
(cos x)
(+ 1 (* (tan x) (tan x)))
(* (tan x) (tan x))

Outputs
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ 1 (* (tan x) (tan x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(+ (* (- 0 (tan x)) (tan x)) 1)
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(- 0 (tan x))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
0
#s(literal 0 binary64)
(tan x)
(tan.f64 x)
x
1
#s(literal 1 binary64)
(+ 1 (* (tan x) (tan x)))
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(* (tan x) (tan x))
(*.f64 (tan.f64 x) (tan.f64 x))
1
#s(literal 1 binary64)
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))))
(- 1 (* (tan x) (tan x)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
1
#s(literal 1 binary64)
(* (tan x) (tan x))
(*.f64 (tan.f64 x) (tan.f64 x))
(tan x)
(tan.f64 x)
x
(+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))
(+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 17/315 binary64)))))))))))
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))
(.f64 (tan.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 17/315 binary64))))))))))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal 17/315 binary64)))))))))
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 17/315 binary64))))))))
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 17/315 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 17/315 binary64))))))
1/3
#s(literal 1/3 binary64)
(* x (* x (+ 2/15 (* (* x x) 17/315))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 17/315 binary64)))))
(* x (+ 2/15 (* (* x x) 17/315)))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal 17/315 binary64)))))
(+ 2/15 (* (* x x) 17/315))
(+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal 17/315 binary64))))
2/15
#s(literal 2/15 binary64)
(* (* x x) 17/315)
(.f64 x (.f64 x #s(literal 17/315 binary64)))
17/315
#s(literal 17/315 binary64)
(/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(- 1 (* (tan x) (tan x)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
1
#s(literal 1 binary64)
(* (tan x) (tan x))
(*.f64 (tan.f64 x) (tan.f64 x))
(tan x)
(tan.f64 x)
x
(+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 x)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(/ (+ (* (* (sin x) (- 0 (tan x))) (/ 1 (cos x))) 1) (+ 1 (* (tan x) (tan x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(+ (* (* (sin x) (- 0 (tan x))) (/ 1 (cos x))) 1)
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))
(* (sin x) (- 0 (tan x)))
(-.f64 #s(literal 0 binary64) (*.f64 (tan.f64 x) (sin.f64 x)))
(sin x)
(sin.f64 x)
x
(- 0 (tan x))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
0
#s(literal 0 binary64)
(tan x)
(tan.f64 x)
(/ 1 (cos x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
(+ 1 (* (tan x) (tan x)))
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(* (tan x) (tan x))
(*.f64 (tan.f64 x) (tan.f64 x))

localize301.0ms (3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (fma.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	accuracy	99.7%	(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
✓	accuracy	99.7%	(fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	99.7%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	99.3%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
✓	accuracy	75.4%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
✓	accuracy	99.8%	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 17/315 binary64))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	accuracy	99.8%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	accuracy	99.6%	(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))

Results

130.0ms	127×	1	valid
81.0ms	129×	0	valid

Compiler

Compiled 436 to 42 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-mult: 32.0ms (21.4% of total)

ival-add: 20.0ms (13.4% of total)

ival-div: 18.0ms (12% of total)

ival-cos: 15.0ms (10% of total)

...c/correct-round.rkt:119:19: 15.0ms (10% of total)

backward-pass: 13.0ms (8.7% of total)

compiled-spec: 13.0ms (8.7% of total)

ival-sin: 8.0ms (5.4% of total)

ival-tan: 7.0ms (4.7% of total)

ival-sub: 6.0ms (4% of total)

const: 1.0ms (0.7% of total)

series31.0ms (0.3%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ 1 (* (tan x) (tan x))))>
#<alt (+ (* (- 0 (tan x)) (tan x)) 1)>
#<alt (- 0 (tan x))>
#<alt (tan x)>
#<alt (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))))>
#<alt (- 1 (* (tan x) (tan x)))>
#<alt (* (tan x) (tan x))>
#<alt (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (+ (* (* (sin x) (- 0 (tan x))) (/ 1 (cos x))) 1) (+ 1 (* (tan x) (tan x))))>
#<alt (+ (* (* (sin x) (- 0 (tan x))) (/ 1 (cos x))) 1)>
#<alt (* (sin x) (- 0 (tan x)))>
#<alt (sin x)>
#<alt (+ 1 (* (tan x) (tan x)))>
#<alt (* (* x x) 17/315)>
#<alt (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>

Outputs
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/3 (pow x 2)) 1))>
#<alt (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (* 315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 7) (sin x))))>
#<alt (/ (+ (* -13230/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 2) (sin x)))) (* 315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x)))) (pow x 7))>
#<alt (/ (- (+ (* -1 (/ (+ (* -555660/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (* 33075/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x)))) (pow x 4))) (* 315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x)))) (* 13230/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 2) (sin x))))) (pow x 7))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1389150/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (+ (* -42/17 (+ (* -555660/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (* 33075/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))))) (* 99225/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))))) (pow x 6))) (* 315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x)))) (+ (* -555660/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 4) (sin x)))) (+ (* 13230/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 2) (sin x)))) (* 33075/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 4) (sin x))))))) (pow x 7))>
#<alt (* 315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 7) (sin x))))>
#<alt (* -1 (/ (+ (* -315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (* 13230/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 2) (sin x))))) (pow x 7)))>
#<alt (* -1 (/ (- (+ (* -315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (* -1 (/ (+ (* -33075/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (* 555660/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x)))) (pow x 4)))) (* -13230/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 2) (sin x))))) (pow x 7)))>
#<alt (* -1 (/ (- (+ (* -315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (* -1 (/ (+ (* -99225/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (+ (* -42/17 (+ (* -33075/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (* 555660/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))))) (* 1389150/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))))) (pow x 6)))) (+ (* -33075/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 4) (sin x)))) (+ (* -13230/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 2) (sin x)))) (* 555660/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 4) (sin x))))))) (pow x 7)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/6 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 1))>
#<alt (* -1 (/ (pow (sin x) 2) (cos x)))>
#<alt (* -1 (/ (pow (sin x) 2) (cos x)))>
#<alt (* -1 (/ (pow (sin x) 2) (cos x)))>
#<alt (* -1 (/ (pow (sin x) 2) (cos x)))>
#<alt (* -1 (/ (pow (sin x) 2) (cos x)))>
#<alt (* -1 (/ (pow (sin x) 2) (cos x)))>
#<alt (* -1 (/ (pow (sin x) 2) (cos x)))>
#<alt (* -1 (/ (pow (sin x) 2) (cos x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))>
#<alt (* 17/315 (pow x 6))>
#<alt (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* 17/315 (pow x 6))>
#<alt (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>

Calls

57 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))))
4.0ms	x	@	-inf	(/ (+ (* (* (sin x) (- 0 (tan x))) (/ 1 (cos x))) 1) (+ 1 (* (tan x) (tan x))))
3.0ms	x	@	inf	(/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
3.0ms	x	@	-inf	(/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
2.0ms	x	@	inf	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))))

rewrite458.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4706×	`-lowering-.f32`
4706×	`-lowering-.f64`
2588×	`fma-lowering-fma.f32`
2588×	`fma-lowering-fma.f64`
2390×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	140
1	291	124
2	2852	123
0	10552	123

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 962

Calls

Call 1

Inputs
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ 1 (* (tan x) (tan x))))
(+ (* (- 0 (tan x)) (tan x)) 1)
(- 0 (tan x))
(tan x)
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))))
(- 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (+ (* (* (sin x) (- 0 (tan x))) (/ 1 (cos x))) 1) (+ 1 (* (tan x) (tan x))))
(+ (* (* (sin x) (- 0 (tan x))) (/ 1 (cos x))) 1)
(* (sin x) (- 0 (tan x)))
(sin x)
(+ 1 (* (tan x) (tan x)))
(* (* x x) 17/315)
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))

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

simplify282.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4328×	`-lowering-.f32`
4328×	`-lowering-.f64`
3208×	`+-lowering-+.f64`
3208×	`+-lowering-+.f32`
1540×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	3146
1	815	2663
2	2638	2365
3	7527	2365
0	8431	2365

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 x)
(* x (- (* -1/3 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 7) (sin x))))
(/ (+ (* -13230/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 2) (sin x)))) (* 315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x)))) (pow x 7))
(/ (- (+ (* -1 (/ (+ (* -555660/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (* 33075/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x)))) (pow x 4))) (* 315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x)))) (* 13230/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 2) (sin x))))) (pow x 7))
(/ (- (+ (* -1 (/ (+ (* -1389150/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (+ (* -42/17 (+ (* -555660/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (* 33075/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))))) (* 99225/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))))) (pow x 6))) (* 315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x)))) (+ (* -555660/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 4) (sin x)))) (+ (* 13230/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 2) (sin x)))) (* 33075/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 4) (sin x))))))) (pow x 7))
(* 315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 7) (sin x))))
(* -1 (/ (+ (* -315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (* 13230/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 2) (sin x))))) (pow x 7)))
(* -1 (/ (- (+ (* -315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (* -1 (/ (+ (* -33075/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (* 555660/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x)))) (pow x 4)))) (* -13230/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 2) (sin x))))) (pow x 7)))
(* -1 (/ (- (+ (* -315/17 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (* -1 (/ (+ (* -99225/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (+ (* -42/17 (+ (* -33075/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))) (* 555660/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))))) (* 1389150/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (sin x))))) (pow x 6)))) (+ (* -33075/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 4) (sin x)))) (+ (* -13230/289 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 2) (sin x)))) (* 555660/4913 (/ (* (cos x) (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow x 4) (sin x))))))) (pow x 7)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/6 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 1))
(* -1 (/ (pow (sin x) 2) (cos x)))
(* -1 (/ (pow (sin x) 2) (cos x)))
(* -1 (/ (pow (sin x) 2) (cos x)))
(* -1 (/ (pow (sin x) 2) (cos x)))
(* -1 (/ (pow (sin x) 2) (cos x)))
(* -1 (/ (pow (sin x) 2) (cos x)))
(* -1 (/ (pow (sin x) 2) (cos x)))
(* -1 (/ (pow (sin x) 2) (cos x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -2/3 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) #s(literal -17/45 binary64))))))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1/3 (pow x 2)) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal -2/15 binary64))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
(/ (sin x) (cos x))
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(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/45 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 x x) #s(literal -1/315 binary64)))))))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -2/45 binary64))))))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))

eval297.0ms (3%)

Compiler: Compiled 75268 to 3413 computations (95.5% saved)

prune227.0ms (2.3%)

Pruning

44 alts after pruning (43 fresh and 1 done)

	Pruned	Kept	Total
New	1987	25	2012
Fresh	9	18	27
Picked	4	1	5
Done	0	0	0
Total	2000	44	2044

Accuracy

100.0%

Counts

2044 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (cos.f64 x)) (sin.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	75.6%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	98.9%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (sin.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
	99.6%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	59.8%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
	99.5%	(/.f64 (fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
▶	99.3%	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	52.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
	98.9%	(/.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	98.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
	51.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	60.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.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 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.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 (cos.f64 x) (cos.f64 x)))))
	61.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))
	52.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 x x) #s(literal -1/315 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
▶	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
▶	52.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
	52.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))))
	59.8%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	51.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	98.9%	(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	51.2%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) #s(literal -17/45 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	51.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
	99.4%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	51.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
	51.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
▶	51.8%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
	99.4%	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)))
✓	55.6%	#s(literal 1 binary64)

Compiler

Compiled 2332 to 1276 computations (45.3% saved)

simplify222.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	64	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	64	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	cost-diff	64	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	64	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	64	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	cost-diff	64	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -2 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
✓	cost-diff	256	(+.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	256	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))
✓	cost-diff	512	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))

Rules

4098×	`+-lowering-+.f64`
4098×	`+-lowering-+.f32`
3782×	`-lowering-.f32`
3782×	`-lowering-.f64`
1560×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	441
1	149	413
2	416	401
3	1591	389
0	8144	389

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2)))
1
(/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))
(- -1/2 (* (cos (* x 2)) -1/2))
-1/2
(* (cos (* x 2)) -1/2)
(cos (* x 2))
(* x 2)
x
2
(+ (* (cos (* x 2)) -1/2) -1/2)
(+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(- 1/2 (* 1/2 (cos (* 2 x))))
1/2
(* 1/2 (cos (* 2 x)))
(cos (* 2 x))
(* 2 x)
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1 (* -2 (* x x)))
1
(* -2 (* x x))
-2
(* x x)
x
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))))
(- 1 (* (tan x) (tan x)))
1
(* (tan x) (tan x))
(tan x)
x
(+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))))
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(* x x)
(+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))
1/3
(* x (* x (+ 2/15 (* (* x x) 17/315))))
(* x (+ 2/15 (* (* x x) 17/315)))
(+ 2/15 (* (* x x) 17/315))
2/15
(* (* x x) 17/315)
17/315
(/ (- 1 (* (tan x) (tan x))) (+ 1 (/ 1 (pow (tan x) -2))))
(- 1 (* (tan x) (tan x)))
1
(* (tan x) (tan x))
(tan x)
x
(+ 1 (/ 1 (pow (tan x) -2)))
(/ 1 (pow (tan x) -2))
(pow (tan x) -2)
-2
(/ (pow (- 1 (pow (tan x) 2)) 2) (- 1 (pow (tan x) 4)))
(pow (- 1 (pow (tan x) 2)) 2)
(- 1 (pow (tan x) 2))
1
(pow (tan x) 2)
(tan x)
x
2
(- 1 (pow (tan x) 4))
(pow (tan x) 4)
4

Outputs
(/ (- 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))
(- 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(- -1/2 (* (cos (* x 2)) -1/2))
(+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(* (cos (* x 2)) -1/2)
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))
(cos (* x 2))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(+ (* (cos (* x 2)) -1/2) -1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))
(/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 x)))
(.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ 1 (* -2 (* x x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
1
#s(literal 1 binary64)
(* -2 (* x x))
(.f64 #s(literal -2 binary64) (.f64 x x))
-2
#s(literal -2 binary64)
(* x x)
(*.f64 x x)
x
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(- 1 (* (tan x) (tan x)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(* (tan x) (tan x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
(+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))))
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))
1/3
#s(literal 1/3 binary64)
(* x (* x (+ 2/15 (* (* x x) 17/315))))
(.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))
(* x (+ 2/15 (* (* x x) 17/315)))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
(+ 2/15 (* (* x x) 17/315))
(+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* (* x x) 17/315)
(.f64 (.f64 x x) #s(literal 17/315 binary64))
17/315
#s(literal 17/315 binary64)
(/ (- 1 (* (tan x) (tan x))) (+ 1 (/ 1 (pow (tan x) -2))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(- 1 (* (tan x) (tan x)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(* (tan x) (tan x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
(+ 1 (/ 1 (pow (tan x) -2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/ 1 (pow (tan x) -2))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(pow (tan x) -2)
(pow.f64 (tan.f64 x) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (pow (- 1 (pow (tan x) 2)) 2) (- 1 (pow (tan x) 4)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(pow (- 1 (pow (tan x) 2)) 2)
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(- 1 (pow (tan x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(- 1 (pow (tan x) 4))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(pow (tan x) 4)
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
4
#s(literal 4 binary64)

localize408.0ms (4.1%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
✓	accuracy	99.7%	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
✓	accuracy	99.6%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.3%	(pow.f64 (tan.f64 x) #s(literal 4 binary64))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	99.6%	(pow.f64 (tan.f64 x) #s(literal -2 binary64))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 17/315 binary64))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (.f64 x x))
✓	accuracy	99.3%	(+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.3%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
✓	accuracy	75.4%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
✓	accuracy	75.4%	(-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))

Results

218.0ms	127×	1	valid
87.0ms	129×	0	valid

Compiler

Compiled 559 to 53 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-mult: 35.0ms (18.1% of total)

ival-pow: 34.0ms (17.6% of total)

...c/correct-round.rkt:119:19: 22.0ms (11.4% of total)

ival-div: 20.0ms (10.3% of total)

ival-add: 19.0ms (9.8% of total)

ival-cos: 19.0ms (9.8% of total)

ival-tan: 18.0ms (9.3% of total)

backward-pass: 14.0ms (7.2% of total)

ival-sub: 11.0ms (5.7% of total)

const: 2.0ms (1% of total)

series18.0ms (0.2%)

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (/ (- 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))>
#<alt (- 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2)))>
#<alt (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))>
#<alt (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))>
#<alt (+ 1 (* -2 (* x x)))>
#<alt (* -2 (* x x))>
#<alt (* x x)>
#<alt (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))))>
#<alt (- 1 (* (tan x) (tan x)))>
#<alt (* (tan x) (tan x))>
#<alt (tan x)>
#<alt (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ 1 (pow (tan x) -2))))>
#<alt (/ (pow (- 1 (pow (tan x) 2)) 2) (- 1 (pow (tan x) 4)))>
#<alt (pow (- 1 (pow (tan x) 2)) 2)>
#<alt (- 1 (pow (tan x) 2))>
#<alt (pow (tan x) 2)>
#<alt (- -1/2 (* (cos (* x 2)) -1/2))>
#<alt (- 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ (* (cos (* x 2)) -1/2) -1/2)>
#<alt (* (* x x) 17/315)>
#<alt (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))>
#<alt (/ 1 (pow (tan x) -2))>
#<alt (pow (tan x) -2)>
#<alt (pow (tan x) 4)>

Outputs
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
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#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (/ (pow (cos x) 2) (pow (sin x) 2))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>
#<alt (/ (pow (sin x) 4) (pow (cos x) 4))>

Calls

75 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (- 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
2.0ms	x	@	-inf	(/ (- 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
1.0ms	x	@	inf	(/ (pow (- 1 (pow (tan x) 2)) 2) (- 1 (pow (tan x) 4)))
1.0ms	x	@	-inf	(/ (pow (- 1 (pow (tan x) 2)) 2) (- 1 (pow (tan x) 4)))
1.0ms	x	@	inf	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))))

rewrite327.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3140×	`-lowering-.f32`
3140×	`-lowering-.f64`
2032×	`fma-lowering-fma.f32`
2032×	`fma-lowering-fma.f64`
1670×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	356
1	374	146
2	3544	145
0	8179	145

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1076

Calls

Call 1

Inputs
(/ (- 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- 1 (/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2)))
(/ (- -1/2 (* (cos (* x 2)) -1/2)) (+ (* (cos (* x 2)) -1/2) -1/2))
(+ 1 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))
(+ 1 (* -2 (* x x)))
(* -2 (* x x))
(* x x)
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))))
(- 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(tan x)
(/ (- 1 (* (tan x) (tan x))) (+ 1 (/ 1 (pow (tan x) -2))))
(/ (pow (- 1 (pow (tan x) 2)) 2) (- 1 (pow (tan x) 4)))
(pow (- 1 (pow (tan x) 2)) 2)
(- 1 (pow (tan x) 2))
(pow (tan x) 2)
(- -1/2 (* (cos (* x 2)) -1/2))
(- 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ (* (cos (* x 2)) -1/2) -1/2)
(* (* x x) 17/315)
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(/ 1 (pow (tan x) -2))
(pow (tan x) -2)
(pow (tan x) 4)

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))))
(neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
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(.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tan.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (tan.f64 x))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (tan.f64 x)))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -4 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal -2 binary64) (log.f64 (tan.f64 x))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x))) (.f64 (*.f64 #s(literal -2 binary64) (log.f64 (tan.f64 x))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (tan.f64 x))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 x)))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (tan.f64 x))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -2 binary64) (log.f64 (tan.f64 x))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -4 binary64)))
(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #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))))) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (pow.f64 (.f64 (tan.f64 x) (sin.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(pow.f64 (tan.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -4 binary64))
(pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -4 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (exp.f64 (log.f64 (tan.f64 x))) (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (tan.f64 x) (exp.f64 (log.f64 (tan.f64 x)))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64)))
(.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))
(.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 (.f64 (tan.f64 x) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) #s(literal -2 binary64)))

simplify267.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3902×	`-lowering-.f32`
3902×	`-lowering-.f64`
2490×	`+-lowering-+.f64`
2490×	`+-lowering-+.f32`
1358×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	247	3917
1	700	3250
2	2213	2914
3	5566	2906
0	8029	2906

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
(/ (- 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
(/ (- 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
(/ (- 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
(/ (- 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
(/ (- 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
(/ (- 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
(/ (- 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2))))
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(- 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2))))
(- 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))
(* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
(- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (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
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 99225/289 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (pow x 14)))
(/ (+ (* -8334900/4913 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (pow x 2))) (* 99225/289 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 14))
(/ (- (+ (* -1 (/ (+ (* -700131600/83521 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 529266150/83521 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 4))) (* 99225/289 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 8334900/4913 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (pow x 2)))) (pow x 14))
(/ (- (+ (* -1 (/ (+ (* -44458356600/1419857 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -84/17 (+ (* -700131600/83521 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 529266150/83521 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* 1937864250/83521 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 6))) (* 99225/289 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (* -700131600/83521 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (pow x 4))) (+ (* 8334900/4913 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (pow x 2))) (* 529266150/83521 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (pow x 4)))))) (pow x 14))
(* 99225/289 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (pow x 14)))
(/ (+ (* -8334900/4913 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (pow x 2))) (* 99225/289 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 14))
(/ (- (+ (* -1 (/ (+ (* -700131600/83521 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 529266150/83521 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 4))) (* 99225/289 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 8334900/4913 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (pow x 2)))) (pow x 14))
(/ (- (+ (* -1 (/ (+ (* -44458356600/1419857 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* -84/17 (+ (* -700131600/83521 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 529266150/83521 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* 1937864250/83521 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow x 6))) (* 99225/289 (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (* -700131600/83521 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (pow x 4))) (+ (* 8334900/4913 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (pow x 2))) (* 529266150/83521 (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (pow x 4)))))) (pow x 14))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
(/ (pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (- 1 (/ (pow (sin x) 4) (pow (cos x) 4))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 26/45 (pow x 2)) 1/3)) 2)))
(pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)
(pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)
(pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)
(pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)
(pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)
(pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)
(pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)
(pow (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) 2)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) 1)
(- (* -1/2 (cos (* 2 x))) 1/2)
(- (* -1/2 (cos (* 2 x))) 1/2)
(- (* -1/2 (cos (* 2 x))) 1/2)
(- (* -1/2 (cos (* 2 x))) 1/2)
(- (* -1/2 (cos (* 2 x))) 1/2)
(- (* -1/2 (cos (* 2 x))) 1/2)
(- (* -1/2 (cos (* 2 x))) 1/2)
(- (* -1/2 (cos (* 2 x))) 1/2)
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/ (pow (cos x) 2) (pow (sin x) 2))
(pow x 4)
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/ (pow (sin x) 4) (pow (cos x) 4))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(/ (- 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 x)))) (- (* -1/2 (cos (* 2 x))) 1/2)))) (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
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(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -2/3 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2/3 binary64)))) x) x)
(/ (+ 1 (* (pow x 2) (- (* 1/15 (pow x 2)) 2/3))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 x (.f64 x #s(literal 1/15 binary64)))))) (*.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/15 (* 2/189 (pow x 2)))) 2/3))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/15 binary64) (.f64 (.f64 x x) #s(literal 2/189 binary64))))))) (*.f64 x x))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(* (pow x 4) (+ 1 (* 4/3 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 4/3 binary64)))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 x x) #s(literal 6/5 binary64))))))
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 4/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 6/5 binary64) (.f64 (.f64 x x) #s(literal 848/945 binary64))))))))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/ (pow (sin x) 4) (pow (cos x) 4))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))

eval277.0ms (2.8%)

Compiler: Compiled 74829 to 4372 computations (94.2% saved)

prune269.0ms (2.7%)

Pruning

58 alts after pruning (54 fresh and 4 done)

	Pruned	Kept	Total
New	1901	29	1930
Fresh	13	25	38
Picked	2	3	5
Done	0	1	1
Total	1916	58	1974

Accuracy

100.0%

Counts

1974 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (cos.f64 x)) (sin.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	98.9%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (sin.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
▶	99.6%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	59.8%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
	98.9%	(/.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	99.5%	(/.f64 (fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	99.3%	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
	99.0%	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
	99.3%	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -4 binary64)))))
	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
	51.3%	(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	61.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))
	59.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	50.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
	51.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.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 (cos.f64 x) (cos.f64 x)))))
	61.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))
	52.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 x x) #s(literal -1/315 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/15 binary64) (.f64 (.f64 x x) #s(literal 2/189 binary64))))))) (.f64 x x)))))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 x (.f64 x #s(literal 1/15 binary64)))))) (.f64 x x)))))
	98.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
	59.8%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	50.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
	51.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	99.5%	(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
	98.8%	(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	51.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
	51.2%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) #s(literal -17/45 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
	51.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	51.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -8 binary64))))))
	59.1%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
	51.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
	51.3%	(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))))
	51.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
	51.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
✓	51.8%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
	51.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64))))))
▶	2.7%	(.f64 #s(literal -2 binary64) (.f64 x x))
✓	55.6%	#s(literal 1 binary64)

Compiler

Compiled 3094 to 1651 computations (46.6% saved)

simplify190.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(*.f64 (tan.f64 x) (tan.f64 x))
✓	cost-diff	64	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	cost-diff	6336	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
✓	cost-diff	6400	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -2 binary64) (.f64 x x))
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (tan.f64 x))
✓	cost-diff	6464	(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
✓	cost-diff	6464	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))

Rules

2654×	`-lowering-.f32`
2654×	`-lowering-.f64`
1970×	`+-lowering-+.f64`
1970×	`+-lowering-+.f32`
1596×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	322
1	112	291
2	354	282
3	1471	282
4	5115	282
0	8208	282

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ (pow (tan x) 2) 1))
(+ (* (- 0 (tan x)) (tan x)) 1)
(- 0 (tan x))
0
(tan x)
x
1
(+ (pow (tan x) 2) 1)
(pow (tan x) 2)
2
(* -2 (* x x))
-2
(* x x)
x
(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))))
(- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))
1
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(* x x)
(+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))
1/3
(* x (* x (+ 2/15 (* (* x x) 17/315))))
(* x (+ 2/15 (* (* x x) 17/315)))
(+ 2/15 (* (* x x) 17/315))
2/15
(* (* x x) 17/315)
17/315
(tan x)
(+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))))
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))
(/ (- 1 (pow (tan x) 2)) (+ 1 (pow (tan x) 2)))
(- 1 (pow (tan x) 2))
1
(pow (tan x) 2)
(tan x)
x
2
(+ 1 (pow (tan x) 2))
(/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1))
(- 1 (* (tan x) (tan x)))
1
(* (tan x) (tan x))
(tan x)
x
(+ (* (tan x) (tan x)) 1)

Outputs
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ (pow (tan x) 2) 1))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+ (* (- 0 (tan x)) (tan x)) 1)
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(- 0 (tan x))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
0
#s(literal 0 binary64)
(tan x)
(tan.f64 x)
x
1
#s(literal 1 binary64)
(+ (pow (tan x) 2) 1)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* -2 (* x x))
(.f64 x (.f64 x #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
(* x x)
(*.f64 x x)
x
(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))) (.f64 x (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))))
(- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))) (.f64 x (tan.f64 x))))
1
#s(literal 1 binary64)
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (tan.f64 x)))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))))
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))
(* x x)
(*.f64 x x)
(+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))
1/3
#s(literal 1/3 binary64)
(* x (* x (+ 2/15 (* (* x x) 17/315))))
(.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))
(* x (+ 2/15 (* (* x x) 17/315)))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
(+ 2/15 (* (* x x) 17/315))
(+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* (* x x) 17/315)
(.f64 (.f64 x x) #s(literal 17/315 binary64))
17/315
#s(literal 17/315 binary64)
(tan x)
(tan.f64 x)
(+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))))))
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))
(.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/ (- 1 (pow (tan x) 2)) (+ 1 (pow (tan x) 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(- 1 (pow (tan x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(pow (tan x) 2)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
2
#s(literal 2 binary64)
(+ 1 (pow (tan x) 2))
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(- 1 (* (tan x) (tan x)))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(* (tan x) (tan x))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan x)
(tan.f64 x)
x
(+ (* (tan x) (tan x)) 1)
(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))

localize190.0ms (1.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
✓	accuracy	99.8%	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
✓	accuracy	99.6%	(*.f64 (tan.f64 x) (tan.f64 x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.8%	(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
✓	accuracy	99.6%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 17/315 binary64))
✓	accuracy	56.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (.f64 x x))
✓	accuracy	100.0%	(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.6%	(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64))
✓	accuracy	99.6%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))

Results

123.0ms

256×

valid

Compiler

Compiled 447 to 37 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-add: 24.0ms (27.4% of total)

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

...c/correct-round.rkt:119:19: 10.0ms (11.4% of total)

ival-tan: 9.0ms (10.3% of total)

compiled-spec: 7.0ms (8% of total)

ival-div: 6.0ms (6.8% of total)

ival-sub: 6.0ms (6.8% of total)

ival-pow: 3.0ms (3.4% of total)

const: 1.0ms (1.1% of total)

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

series12.0ms (0.1%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ (pow (tan x) 2) 1))>
#<alt (+ (* (- 0 (tan x)) (tan x)) 1)>
#<alt (- 0 (tan x))>
#<alt (tan x)>
#<alt (* -2 (* x x))>
#<alt (* x x)>
#<alt (/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))))>
#<alt (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))>
#<alt (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))>
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))>
#<alt (/ (- 1 (pow (tan x) 2)) (+ 1 (pow (tan x) 2)))>
#<alt (- 1 (pow (tan x) 2))>
#<alt (pow (tan x) 2)>
#<alt (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1))>
#<alt (+ (* (tan x) (tan x)) 1)>
#<alt (- 1 (* (tan x) (tan x)))>
#<alt (* (tan x) (tan x))>
#<alt (+ (pow (tan x) 2) 1)>
#<alt (* (* x x) 17/315)>
#<alt (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))>
#<alt (* x (+ 2/15 (* (* x x) 17/315)))>
#<alt (+ 1 (pow (tan x) 2))>

Outputs
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/3 (pow x 2)) 1))>
#<alt (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt (* -1 (/ (sin x) (cos x)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (* -315/17 (/ (sin x) (* (pow x 7) (cos x))))>
#<alt (/ (- (+ (* -13230/289 (/ (sin x) (* (pow x 2) (cos x)))) (* -315/17 (/ (sin x) (cos x)))) (* -26460/289 (/ (sin x) (* (pow x 2) (cos x))))) (pow x 7))>
#<alt (/ (- (+ (* -33075/289 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -13230/289 (/ (sin x) (* (pow x 2) (cos x)))) (* -315/17 (/ (sin x) (cos x))))) (+ (* -1680210/4913 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -26460/289 (/ (sin x) (* (pow x 2) (cos x)))) (* 84/17 (/ (- (* -13230/289 (/ (sin x) (cos x))) (* -26460/289 (/ (sin x) (cos x)))) (pow x 4)))))) (pow x 7))>
#<alt (/ (- (+ (* -99225/289 (/ (sin x) (* (pow x 6) (cos x)))) (+ (* -33075/289 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -13230/289 (/ (sin x) (* (pow x 2) (cos x)))) (* -315/17 (/ (sin x) (cos x)))))) (+ (* -6151950/4913 (/ (sin x) (* (pow x 6) (cos x)))) (+ (* -1680210/4913 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -26460/289 (/ (sin x) (* (pow x 2) (cos x)))) (+ (* 84/17 (/ (- (* -33075/289 (/ (sin x) (cos x))) (+ (* -1680210/4913 (/ (sin x) (cos x))) (* 84/17 (- (* -13230/289 (/ (sin x) (cos x))) (* -26460/289 (/ (sin x) (cos x))))))) (pow x 6))) (+ (* 84/17 (/ (- (* -13230/289 (/ (sin x) (cos x))) (* -26460/289 (/ (sin x) (cos x)))) (pow x 4))) (* 5334/289 (/ (- (* -13230/289 (/ (sin x) (cos x))) (* -26460/289 (/ (sin x) (cos x)))) (pow x 6))))))))) (pow x 7))>
#<alt (* -315/17 (/ (sin x) (* (pow x 7) (cos x))))>
#<alt (* -1 (/ (- (+ (* 315/17 (/ (sin x) (cos x))) (* 13230/289 (/ (sin x) (* (pow x 2) (cos x))))) (* 26460/289 (/ (sin x) (* (pow x 2) (cos x))))) (pow x 7)))>
#<alt (* -1 (/ (- (+ (* 315/17 (/ (sin x) (cos x))) (+ (* 13230/289 (/ (sin x) (* (pow x 2) (cos x)))) (* 33075/289 (/ (sin x) (* (pow x 4) (cos x)))))) (+ (* 84/17 (/ (- (* 13230/289 (/ (sin x) (cos x))) (* 26460/289 (/ (sin x) (cos x)))) (pow x 4))) (+ (* 26460/289 (/ (sin x) (* (pow x 2) (cos x)))) (* 1680210/4913 (/ (sin x) (* (pow x 4) (cos x))))))) (pow x 7)))>
#<alt (* -1 (/ (- (+ (* 315/17 (/ (sin x) (cos x))) (+ (* 13230/289 (/ (sin x) (* (pow x 2) (cos x)))) (+ (* 33075/289 (/ (sin x) (* (pow x 4) (cos x)))) (* 99225/289 (/ (sin x) (* (pow x 6) (cos x))))))) (+ (* 84/17 (/ (- (* 13230/289 (/ (sin x) (cos x))) (* 26460/289 (/ (sin x) (cos x)))) (pow x 4))) (+ (* 84/17 (/ (- (* 33075/289 (/ (sin x) (cos x))) (+ (* 84/17 (- (* 13230/289 (/ (sin x) (cos x))) (* 26460/289 (/ (sin x) (cos x))))) (* 1680210/4913 (/ (sin x) (cos x))))) (pow x 6))) (+ (* 5334/289 (/ (- (* 13230/289 (/ (sin x) (cos x))) (* 26460/289 (/ (sin x) (cos x)))) (pow x 6))) (+ (* 26460/289 (/ (sin x) (* (pow x 2) (cos x)))) (+ (* 1680210/4913 (/ (sin x) (* (pow x 4) (cos x)))) (* 6151950/4913 (/ (sin x) (* (pow x 6) (cos x)))))))))) (pow x 7)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (* -17/315 (/ (* (pow x 7) (sin x)) (cos x)))>
#<alt (* (pow x 7) (- (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* 17/315 (/ (sin x) (cos x)))))>
#<alt (* (pow x 7) (- (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* 17/315 (/ (sin x) (cos x))) (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))))))>
#<alt (* (pow x 7) (- (* -1 (/ (sin x) (* (pow x 6) (cos x)))) (+ (* 17/315 (/ (sin x) (cos x))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* 1/3 (/ (sin x) (* (pow x 4) (cos x))))))))>
#<alt (* -17/315 (/ (* (pow x 7) (sin x)) (cos x)))>
#<alt (* -1 (* (pow x 7) (- (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x))))))>
#<alt (* -1 (* (pow x 7) (- (* 1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x)))))))>
#<alt (* -1 (* (pow x 7) (- (/ (sin x) (* (pow x 6) (cos x))) (+ (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (* 17/315 (/ (* (pow x 7) (sin x)) (cos x)))>
#<alt (* (pow x 7) (+ (* 17/315 (/ (sin x) (cos x))) (* 2/15 (/ (sin x) (* (pow x 2) (cos x))))))>
#<alt (* (pow x 7) (+ (* 17/315 (/ (sin x) (cos x))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* 1/3 (/ (sin x) (* (pow x 4) (cos x)))))))>
#<alt (* (pow x 7) (+ (* 17/315 (/ (sin x) (cos x))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (+ (* 1/3 (/ (sin x) (* (pow x 4) (cos x)))) (/ (sin x) (* (pow x 6) (cos x)))))))>
#<alt (* 17/315 (/ (* (pow x 7) (sin x)) (cos x)))>
#<alt (* -1 (* (pow x 7) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x)))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1 (/ (sin x) (* (pow x 6) (cos x)))) (+ (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (* 17/315 (pow x 7))>
#<alt (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 17/315 (pow x 7))>
#<alt (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))>
#<alt (* 17/315 (pow x 6))>
#<alt (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* 17/315 (pow x 6))>
#<alt (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* 2/15 x)>
#<alt (* x (+ 2/15 (* 17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* 17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* 17/315 (pow x 2))))>
#<alt (* 17/315 (pow x 3))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* 17/315 (pow x 3))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))))
1.0ms	x	@	inf	(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))))
0.0ms	x	@	-inf	(- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))
0.0ms	x	@	inf	(- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))
0.0ms	x	@	inf	(* x (+ 2/15 (* (* x x) 17/315)))

rewrite373.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2428×	`-lowering-.f32`
2428×	`-lowering-.f64`
2270×	`fma-lowering-fma.f32`
2270×	`fma-lowering-fma.f64`
2226×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	213
1	259	195
2	2268	188
0	8968	188

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1129

Calls

Call 1

Inputs
(/ (+ (* (- 0 (tan x)) (tan x)) 1) (+ (pow (tan x) 2) 1))
(+ (* (- 0 (tan x)) (tan x)) 1)
(- 0 (tan x))
(tan x)
(* -2 (* x x))
(* x x)
(/ (- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))) (+ 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))))))
(- 1 (* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x)))
(* (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315)))))))) (tan x))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))))
(/ (- 1 (pow (tan x) 2)) (+ 1 (pow (tan x) 2)))
(- 1 (pow (tan x) 2))
(pow (tan x) 2)
(/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1))
(+ (* (tan x) (tan x)) 1)
(- 1 (* (tan x) (tan x)))
(* (tan x) (tan x))
(+ (pow (tan x) 2) 1)
(* (* x x) 17/315)
(* (* x x) (+ 1/3 (* x (* x (+ 2/15 (* (* x x) 17/315))))))
(* x (+ 2/15 (* (* x x) 17/315)))
(+ 1 (pow (tan x) 2))

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

simplify242.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2928×	`-lowering-.f32`
2928×	`-lowering-.f64`
2012×	`sum3-define`
1980×	`+-lowering-+.f64`
1980×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	3476
1	999	2927
2	3618	2799
0	8781	2799

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 x)
(* x (- (* -1/3 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
(* -1 (/ (sin x) (cos x)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -315/17 (/ (sin x) (* (pow x 7) (cos x))))
(/ (- (+ (* -13230/289 (/ (sin x) (* (pow x 2) (cos x)))) (* -315/17 (/ (sin x) (cos x)))) (* -26460/289 (/ (sin x) (* (pow x 2) (cos x))))) (pow x 7))
(/ (- (+ (* -33075/289 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -13230/289 (/ (sin x) (* (pow x 2) (cos x)))) (* -315/17 (/ (sin x) (cos x))))) (+ (* -1680210/4913 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -26460/289 (/ (sin x) (* (pow x 2) (cos x)))) (* 84/17 (/ (- (* -13230/289 (/ (sin x) (cos x))) (* -26460/289 (/ (sin x) (cos x)))) (pow x 4)))))) (pow x 7))
(/ (- (+ (* -99225/289 (/ (sin x) (* (pow x 6) (cos x)))) (+ (* -33075/289 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -13230/289 (/ (sin x) (* (pow x 2) (cos x)))) (* -315/17 (/ (sin x) (cos x)))))) (+ (* -6151950/4913 (/ (sin x) (* (pow x 6) (cos x)))) (+ (* -1680210/4913 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -26460/289 (/ (sin x) (* (pow x 2) (cos x)))) (+ (* 84/17 (/ (- (* -33075/289 (/ (sin x) (cos x))) (+ (* -1680210/4913 (/ (sin x) (cos x))) (* 84/17 (- (* -13230/289 (/ (sin x) (cos x))) (* -26460/289 (/ (sin x) (cos x))))))) (pow x 6))) (+ (* 84/17 (/ (- (* -13230/289 (/ (sin x) (cos x))) (* -26460/289 (/ (sin x) (cos x)))) (pow x 4))) (* 5334/289 (/ (- (* -13230/289 (/ (sin x) (cos x))) (* -26460/289 (/ (sin x) (cos x)))) (pow x 6))))))))) (pow x 7))
(* -315/17 (/ (sin x) (* (pow x 7) (cos x))))
(* -1 (/ (- (+ (* 315/17 (/ (sin x) (cos x))) (* 13230/289 (/ (sin x) (* (pow x 2) (cos x))))) (* 26460/289 (/ (sin x) (* (pow x 2) (cos x))))) (pow x 7)))
(* -1 (/ (- (+ (* 315/17 (/ (sin x) (cos x))) (+ (* 13230/289 (/ (sin x) (* (pow x 2) (cos x)))) (* 33075/289 (/ (sin x) (* (pow x 4) (cos x)))))) (+ (* 84/17 (/ (- (* 13230/289 (/ (sin x) (cos x))) (* 26460/289 (/ (sin x) (cos x)))) (pow x 4))) (+ (* 26460/289 (/ (sin x) (* (pow x 2) (cos x)))) (* 1680210/4913 (/ (sin x) (* (pow x 4) (cos x))))))) (pow x 7)))
(* -1 (/ (- (+ (* 315/17 (/ (sin x) (cos x))) (+ (* 13230/289 (/ (sin x) (* (pow x 2) (cos x)))) (+ (* 33075/289 (/ (sin x) (* (pow x 4) (cos x)))) (* 99225/289 (/ (sin x) (* (pow x 6) (cos x))))))) (+ (* 84/17 (/ (- (* 13230/289 (/ (sin x) (cos x))) (* 26460/289 (/ (sin x) (cos x)))) (pow x 4))) (+ (* 84/17 (/ (- (* 33075/289 (/ (sin x) (cos x))) (+ (* 84/17 (- (* 13230/289 (/ (sin x) (cos x))) (* 26460/289 (/ (sin x) (cos x))))) (* 1680210/4913 (/ (sin x) (cos x))))) (pow x 6))) (+ (* 5334/289 (/ (- (* 13230/289 (/ (sin x) (cos x))) (* 26460/289 (/ (sin x) (cos x)))) (pow x 6))) (+ (* 26460/289 (/ (sin x) (* (pow x 2) (cos x)))) (+ (* 1680210/4913 (/ (sin x) (* (pow x 4) (cos x)))) (* 6151950/4913 (/ (sin x) (* (pow x 6) (cos x)))))))))) (pow x 7)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(* -17/315 (/ (* (pow x 7) (sin x)) (cos x)))
(* (pow x 7) (- (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* 17/315 (/ (sin x) (cos x)))))
(* (pow x 7) (- (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* 17/315 (/ (sin x) (cos x))) (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))))))
(* (pow x 7) (- (* -1 (/ (sin x) (* (pow x 6) (cos x)))) (+ (* 17/315 (/ (sin x) (cos x))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* 1/3 (/ (sin x) (* (pow x 4) (cos x))))))))
(* -17/315 (/ (* (pow x 7) (sin x)) (cos x)))
(* -1 (* (pow x 7) (- (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x))))))
(* -1 (* (pow x 7) (- (* 1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x)))))))
(* -1 (* (pow x 7) (- (/ (sin x) (* (pow x 6) (cos x))) (+ (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(* 17/315 (/ (* (pow x 7) (sin x)) (cos x)))
(* (pow x 7) (+ (* 17/315 (/ (sin x) (cos x))) (* 2/15 (/ (sin x) (* (pow x 2) (cos x))))))
(* (pow x 7) (+ (* 17/315 (/ (sin x) (cos x))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* 1/3 (/ (sin x) (* (pow x 4) (cos x)))))))
(* (pow x 7) (+ (* 17/315 (/ (sin x) (cos x))) (+ (* 2/15 (/ (sin x) (* (pow x 2) (cos x)))) (+ (* 1/3 (/ (sin x) (* (pow x 4) (cos x)))) (/ (sin x) (* (pow x 6) (cos x)))))))
(* 17/315 (/ (* (pow x 7) (sin x)) (cos x)))
(* -1 (* (pow x 7) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x))))))
(* -1 (* (pow x 7) (+ (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x)))))))
(* -1 (* (pow x 7) (+ (* -1 (/ (sin x) (* (pow x 6) (cos x)))) (+ (* -1/3 (/ (sin x) (* (pow x 4) (cos x)))) (+ (* -2/15 (/ (sin x) (* (pow x 2) (cos x)))) (* -17/315 (/ (sin x) (cos x))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* 17/315 (pow x 7))
(* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 17/315 (pow x 7))
(* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* 2/15 x)
(* x (+ 2/15 (* 17/315 (pow x 2))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(* 17/315 (pow x 3))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* 17/315 (pow x 3))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -2/3 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) #s(literal -17/45 binary64))))))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1/3 (pow x 2)) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal -2/15 binary64))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(* -1 (/ (sin x) (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64)))))))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(* -315/17 (/ (sin x) (* (pow x 7) (cos x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -315/17 binary64)) (cos.f64 x)) (pow.f64 x #s(literal 7 binary64)))
(/ (- (+ (* -13230/289 (/ (sin x) (* (pow x 2) (cos x)))) (* -315/17 (/ (sin x) (cos x)))) (* -26460/289 (/ (sin x) (* (pow x 2) (cos x))))) (pow x 7))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) #s(literal -315/17 binary64)) (cos.f64 x)) (/.f64 (/.f64 (.f64 (sin.f64 x) #s(literal 13230/289 binary64)) (cos.f64 x)) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
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(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))
(* 17/315 (pow x 6))
(*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* 17/315 (pow x 6))
(*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
(* 17/315 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 17/315 binary64)))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* 17/315 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 17/315 binary64)))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 17/45 binary64)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))

eval312.0ms (3.2%)

Compiler: Compiled 114225 to 4564 computations (96% saved)

prune276.0ms (2.8%)

Pruning

59 alts after pruning (52 fresh and 7 done)

	Pruned	Kept	Total
New	2274	9	2283
Fresh	6	43	49
Picked	2	3	5
Done	0	4	4
Total	2282	59	2341

Accuracy

100.0%

Counts

2341 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (cos.f64 x)) (sin.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	98.9%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (sin.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
	59.8%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
	98.9%	(/.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	99.5%	(/.f64 (fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
	99.6%	(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	99.3%	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
	99.0%	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
	99.3%	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -4 binary64)))))
	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
	51.3%	(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
✓	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	59.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
	98.9%	(/.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
✓	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
	61.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))
	59.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	98.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
	51.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
	50.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
✓	50.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
	51.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
	51.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) x)))
	50.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.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 (cos.f64 x) (cos.f64 x)))))
	61.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))
	52.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 x x) #s(literal -1/315 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/15 binary64) (.f64 (.f64 x x) #s(literal 2/189 binary64))))))) (.f64 x x)))))
	56.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 x (.f64 x #s(literal 1/15 binary64)))))) (.f64 x x)))))
	98.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
	99.5%	(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
	98.8%	(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
	51.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
	51.2%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) #s(literal -17/45 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
	51.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	51.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -8 binary64))))))
	59.1%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
	51.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
	51.3%	(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))))
	51.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
	51.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
✓	51.8%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
	51.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64))))))
✓	2.7%	(.f64 #s(literal -2 binary64) (.f64 x x))
	2.7%	(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
✓	55.6%	#s(literal 1 binary64)

Compiler

Compiled 4390 to 1252 computations (71.5% saved)

regimes107.0ms (1.1%)

Counts

96 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal -2 binary64) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -8 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) #s(literal -17/45 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 x (.f64 x #s(literal 1/15 binary64)))))) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/15 binary64) (.f64 (.f64 x x) #s(literal 2/189 binary64))))))) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
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(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.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 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.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 (cos.f64 x) (cos.f64 x)))))
(/.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (.f64 (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (cos.f64 x)) (sin.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (fma.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (sin.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.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) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Outputs

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

Calls

4 calls:

25.0ms	(tan.f64 x)
23.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
23.0ms	x
22.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

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

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes94.0ms (0.9%)

Counts

65 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal -2 binary64) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -8 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) #s(literal -17/45 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 x (.f64 x #s(literal 1/15 binary64)))))) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/15 binary64) (.f64 (.f64 x x) #s(literal 2/189 binary64))))))) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.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 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 x x) #s(literal -1/315 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.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 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))

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

Calls

4 calls:

35.0ms	(tan.f64 x)
17.0ms	x
17.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
15.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
99.5%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
99.5%	1	`(tan.f64 x)`

Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes44.0ms (0.4%)

Counts

43 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal -2 binary64) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -8 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) #s(literal -17/45 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 x (.f64 x #s(literal 1/15 binary64)))))) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/15 binary64) (.f64 (.f64 x x) #s(literal 2/189 binary64))))))) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.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 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 x x) #s(literal -1/315 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))

Outputs

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

Calls

3 calls:

14.0ms	x
11.0ms	(tan.f64 x)
10.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
61.7%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
61.7%	1	`x`
61.7%	1	`(tan.f64 x)`

Compiler

Compiled 11 to 6 computations (45.5% saved)

regimes35.0ms (0.4%)

Counts

37 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal -2 binary64) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -8 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) #s(literal -17/45 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 x (.f64 x #s(literal 1/15 binary64)))))) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (*.f64 x x) #s(literal 62/315 binary64))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/15 binary64) (.f64 (.f64 x x) #s(literal 2/189 binary64))))))) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))

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

Calls

3 calls:

10.0ms	x
10.0ms	(tan.f64 x)
10.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
59.8%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
59.8%	1	`(tan.f64 x)`
59.8%	1	`x`

Compiler

Compiled 11 to 6 computations (45.5% saved)

regimes20.0ms (0.2%)

Counts

25 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal -2 binary64) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -8 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) #s(literal -17/45 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))

Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))

Calls

2 calls:

7.0ms	(tan.f64 x)
7.0ms	x

Results

Accuracy	Segments	Branch
59.1%	1	`x`
59.1%	1	`(tan.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes8.0ms (0.1%)

Accuracy

Total -34.7b remaining (-122.1%)

Threshold costs -34.7b (-122.1%)

Counts

24 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal -2 binary64) (.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -8 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) #s(literal -17/45 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) #s(literal 62/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64))))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))))
(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

Outputs
#s(literal 1 binary64)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
55.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

270×	`unsub-neg_binary64`
148×	`neg-mul-1_binary64`
110×	`distribute-lft-neg-in_binary64`
62×	`distribute-neg-out_binary64`
58×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	85
1	70	85
2	109	85
3	138	85
4	176	85
5	216	85
6	245	85
7	346	85
8	514	85
9	614	85
10	615	85

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
#s(literal 1 binary64)

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))
#s(literal 1 binary64)

soundness1.7s (17.5%)

Rules

4706×	`-lowering-.f32`
4706×	`-lowering-.f64`
4328×	`-lowering-.f32`
4328×	`-lowering-.f64`
3902×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	272	3146
1	815	2663
2	2638	2365
3	7527	2365
0	8431	2365
0	80	684
1	224	546
2	722	500
3	2452	500
4	4111	500
5	7020	500
0	8060	500
0	247	3917
1	700	3250
2	2213	2914
3	5566	2906
0	8029	2906
0	43	140
1	291	124
2	2852	123
0	10552	123
0	294	3476
1	999	2927
2	3618	2799
0	8781	2799
0	7	26
1	47	26
2	371	26
3	5430	26
0	8109	26

Stop Event

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

Compiler

Compiled 213 to 109 computations (48.8% saved)

preprocess41.0ms (0.4%)

Remove: (abs x)
Compiler: Compiled 524 to 220 computations (58% saved)

Iter	Nodes	Cost
0	35	85
1	70	85
2	109	85
3	138	85
4	176	85
5	216	85
6	245	85
7	346	85
8	514	85
9	614	85
10	615	85

Iter	Nodes	Cost
0	35	85
1	70	85
2	109	85
3	138	85
4	176	85
5	216	85
6	245	85
7	346	85
8	514	85
9	614	85
10	615	85

analyze479.0ms (4.8%)

sample906.0ms (9.2%)

preprocess231.0ms (2.3%)

explain104.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify174.0ms (1.8%)

localize45.0ms (0.5%)

series6.0ms (0.1%)

rewrite271.0ms (2.7%)

simplify205.0ms (2.1%)

eval95.0ms (1%)

prune132.0ms (1.3%)

simplify163.0ms (1.6%)

localize301.0ms (3%)

series31.0ms (0.3%)

rewrite458.0ms (4.6%)

simplify282.0ms (2.9%)

eval297.0ms (3%)

prune227.0ms (2.3%)

simplify222.0ms (2.2%)

localize408.0ms (4.1%)

series18.0ms (0.2%)

rewrite327.0ms (3.3%)

simplify267.0ms (2.7%)

eval277.0ms (2.8%)

prune269.0ms (2.7%)

simplify190.0ms (1.9%)

localize190.0ms (1.9%)

series12.0ms (0.1%)

rewrite373.0ms (3.8%)

simplify242.0ms (2.5%)

eval312.0ms (3.2%)

prune276.0ms (2.8%)

regimes107.0ms (1.1%)

regimes94.0ms (0.9%)

regimes44.0ms (0.4%)

regimes35.0ms (0.4%)

regimes20.0ms (0.2%)

regimes8.0ms (0.1%)

simplify20.0ms (0.2%)

soundness1.7s (17.5%)

preprocess41.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	35	85
1	70	85
2	109	85
3	138	85
4	176	85
5	216	85
6	245	85
7	346	85
8	514	85
9	614	85
10	615	85