Metrics for 2tan (problem 3.3.2)

analyze76.0ms (0.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.6%	49.4%	0%	0%	0%	0
0%	0%	50.6%	49.4%	0%	0%	0%	1
0%	0%	50.6%	49.4%	0%	0%	0%	2
0%	0%	25.3%	74.7%	0%	0%	0%	3
0%	0%	25.3%	74.7%	0%	0%	0%	4
0%	0%	19%	81%	0%	0%	0%	5
0%	0%	15.8%	84.2%	0%	0%	0%	6
0%	0%	11.1%	88.9%	0%	0%	0%	7
0%	0%	8.7%	91.3%	0%	0%	0%	8
0%	0%	5.9%	94.1%	0%	0%	0%	9
0%	0%	4.5%	95.5%	0%	0%	0%	10
0%	0%	3.1%	96.9%	0%	0%	0%	11
0%	0%	2.7%	97.3%	0%	0%	0%	12

Compiler

Compiled 28 to 18 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-tan: 22.0ms (48.4% of total)

...c/correct-round.rkt:119:19: 7.0ms (15.4% of total)

ival-mult: 3.0ms (6.6% of total)

ival-fabs: 3.0ms (6.6% of total)

ival-add: 2.0ms (4.4% of total)

ival-sub: 2.0ms (4.4% of total)

ival-and: 2.0ms (4.4% of total)

ival-<=: 2.0ms (4.4% of total)

ival-<: 2.0ms (4.4% of total)

const: 0.0ms (0% of total)

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

sample7.5s (44.3%)

Results

3.5s	26089×	0	precondition
1.3s	4453×	1	valid
942.0ms	3803×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.2s

...c/correct-round.rkt:119:19: 935.0ms (22.2% of total)

ival-tan: 697.0ms (16.5% of total)

ival-<: 637.0ms (15.1% of total)

ival-mult: 388.0ms (9.2% of total)

ival-add: 382.0ms (9.1% of total)

ival-sub: 283.0ms (6.7% of total)

ival-fabs: 279.0ms (6.6% of total)

ival-<=: 278.0ms (6.6% of total)

ival-and: 163.0ms (3.9% of total)

backward-pass: 127.0ms (3% of total)

const: 50.0ms (1.2% of total)

Bogosity

preprocess52.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

376×	`fnmadd-define`
344×	`fnmsub-define`
344×	`fmsub-define`
320×	`sum3-define`
308×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	50	42
2	101	42
3	207	42
4	513	42
5	923	42
6	1310	42
7	1574	42
8	1710	42
9	1737	42
0	6	7
1	11	7
2	16	7
3	23	7
4	33	7
5	65	7
6	124	7
7	212	7
8	297	7
9	403	7
10	481	7
11	487	7
0	487	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (tan (+ x eps)) (tan x))

Outputs
(- (tan (+ x eps)) (tan x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Call 2

Inputs
(- (tan (+ x eps)) (tan x))
(- (tan (+ (neg x) eps)) (tan (neg x)))
(- (tan (+ x (neg eps))) (tan x))
(neg (- (tan (+ (neg x) eps)) (tan (neg x))))
(neg (- (tan (+ x (neg eps))) (tan x)))
(- (tan (+ eps x)) (tan eps))

Outputs
(- (tan (+ x eps)) (tan x))
(- (fast-tan (+ x eps)) (fast-tan x))
(- (tan (+ (neg x) eps)) (tan (neg x)))
(+ (fast-tan x) (fast-tan (- eps x)))
(- (tan (+ x (neg eps))) (tan x))
(- (fast-tan (- x eps)) (fast-tan x))
(neg (- (tan (+ (neg x) eps)) (tan (neg x))))
(- (fast-tan (- x eps)) (fast-tan x))
(neg (- (tan (+ x (neg eps))) (tan x)))
(+ (fast-tan x) (fast-tan (- eps x)))
(- (tan (+ eps x)) (tan eps))
(- (fast-tan (+ x eps)) (fast-tan eps))

explain115.0ms (0.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
227	2	(-3.462796699570995e-167 2.764054764814959e-169)	3	(-7.668690385135368e-163 1.2576926385947832e-164)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
2	0	-	0	-	`(tan.f64 (+.f64 x eps))`
0	0	-	0	-	`x`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`eps`

Results

52.0ms	268×	1	valid
24.0ms	244×	0	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-tan: 12.0ms (41.6% of total)

backward-pass: 7.0ms (24.3% of total)

ival-add: 5.0ms (17.3% of total)

ival-sub: 4.0ms (13.9% of total)

const: 1.0ms (3.5% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(tan.f64 x)
✓	cost-diff	(+.f64 x eps)
✓	cost-diff	(tan.f64 (+.f64 x eps))
✓	cost-diff	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Rules

124×	`fnmadd-define`
122×	`sum3-define`
80×	`fma-lowering-fma.f32`
80×	`fnmsub-define`
80×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	11	18
2	16	18
3	23	18
4	33	18
5	65	18
6	124	18
7	212	18
8	297	18
9	403	18
10	481	18
11	487	18
0	487	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (tan (+ x eps)) (tan x))
(tan (+ x eps))
(+ x eps)
x
eps
(tan x)

Outputs
(- (tan (+ x eps)) (tan x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan (+ x eps))
(tan.f64 (+.f64 x eps))
(+ x eps)
(+.f64 x eps)
x
eps
(tan x)
(tan.f64 x)

localize52.0ms (0.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	99.9%	(tan.f64 (+.f64 x eps))
✓	accuracy	62.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

26.0ms	134×	1	valid
18.0ms	122×	0	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sub: 9.0ms (43% of total)

ival-tan: 6.0ms (28.6% of total)

ival-add: 3.0ms (14.3% of total)

backward-pass: 3.0ms (14.3% of total)

const: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (- (tan (+ x eps)) (tan x))>
#<alt (tan (+ x eps))>
#<alt (+ x eps)>
#<alt (tan x)>

Outputs
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin x) (cos x))>
#<alt (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<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))>

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	(- (tan (+ x eps)) (tan x))
2.0ms	eps	@	inf	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	inf	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	0	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	-inf	(- (tan (+ x eps)) (tan x))

rewrite372.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3856×	`-lowering-.f32`
3856×	`-lowering-.f64`
3276×	`/-lowering-/.f32`
3276×	`/-lowering-/.f64`
1940×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	48	16
2	430	16
3	6621	16
0	8991	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 239

Calls

Call 1

Inputs
(- (tan (+ x eps)) (tan x))
(tan (+ x eps))
(+ x eps)
(tan x)

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

simplify319.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3412×	`-lowering-.f32`
3412×	`-lowering-.f64`
2990×	`fma-lowering-fma.f32`
2990×	`fma-lowering-fma.f64`
2652×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1381
1	504	1186
2	1907	1117
3	7753	1117
0	8620	1117

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval38.0ms (0.2%)

Compiler: Compiled 8812 to 983 computations (88.8% saved)

prune64.0ms (0.4%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	306	17	323
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	306	18	324

Accuracy

100.0%

Counts

324 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.7%	(fma.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))
	62.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
▶	62.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
▶	62.0%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
▶	97.7%	(/.f64 (sin.f64 eps) (cos.f64 eps))
	62.8%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	62.9%	(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	62.7%	(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
	61.8%	(-.f64 (tan.f64 (+.f64 x eps)) (.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)))))))))
	61.6%	(-.f64 (tan.f64 (+.f64 x eps)) (.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))))))))
	61.4%	(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
✓	62.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	60.5%	(-.f64 (tan.f64 (+.f64 x eps)) x)
	34.1%	(-.f64 (tan.f64 (.f64 (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (+.f64 (.f64 x x) (*.f64 eps (-.f64 eps x)))))) (tan.f64 x))
	98.5%	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 x (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))
▶	99.0%	(.f64 eps (+.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 eps (+.f64 (.f64 eps (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
	98.4%	(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.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 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))

Compiler

Compiled 963 to 460 computations (52.2% saved)

simplify225.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))
✓	cost-diff	6528	(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	6528	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	cost-diff	6656	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(cos.f64 (+.f64 x eps))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
✓	cost-diff	6528	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
✓	cost-diff	0	(cos.f64 eps)
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(/.f64 (sin.f64 eps) (cos.f64 eps))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(tan.f64 (+.f64 x eps))
✓	cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) x)
✓	cost-diff	6592	(*.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓	cost-diff	19264	(+.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 eps (+.f64 (.f64 eps (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
✓	cost-diff	25984	(-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
✓	cost-diff	26112	(+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))

Rules

3028×	`-lowering-.f32`
3028×	`-lowering-.f64`
2314×	`+-lowering-+.f64`
2314×	`+-lowering-+.f32`
1606×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	784
1	166	596
2	564	464
3	2344	452
0	8233	452

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
eps
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* (/ (sin x) (cos x)) (+ 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 (sin x) 2)
(sin x)
x
2
(pow (cos x) 2)
(cos x)
(* eps (+ (* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(+ (* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
-1/6
(+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
-1/2
(+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))
(* -1/2 (pow (sin x) 2))
(- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))
(* 1/6 (pow (sin x) 2))
1/6
(* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (sin x) (cos x))
(- (tan (+ x eps)) x)
(tan (+ x eps))
(+ x eps)
x
eps
(/ (sin eps) (cos eps))
(sin eps)
eps
(cos eps)
(+ (* (/ 1 (cos (+ x eps))) (sin (+ x eps))) (- 0 (tan x)))
(/ 1 (cos (+ x eps)))
1
(cos (+ x eps))
(+ x eps)
x
eps
(sin (+ x eps))
(- 0 (tan x))
0
(tan x)
(/ (- (* (+ (tan x) (tan eps)) (/ 1 (tan x))) (* (- 1 (* (tan x) (tan eps))) 1)) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
(- (* (+ (tan x) (tan eps)) (/ 1 (tan x))) (* (- 1 (* (tan x) (tan eps))) 1))
(* (+ (tan x) (tan eps)) (/ 1 (tan x)))
(+ (tan x) (tan eps))
(tan x)
x
(tan eps)
eps
(/ 1 (tan x))
1
(* (- 1 (* (tan x) (tan eps))) 1)
(- 1 (* (tan x) (tan eps)))
(* (tan x) (tan eps))
(* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x)))

Outputs
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(.f64 eps (+.f64 (.f64 (-.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64)))) (.f64 eps eps)) (.f64 (+.f64 (/.f64 (.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 1 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)))))))
eps
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(+.f64 (.f64 (-.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64)))) (.f64 eps eps)) (.f64 (+.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 1 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)))
(+.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)
(/ (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.f64 (sin.f64 x) #s(literal 2 binary64))
(sin x)
(sin.f64 x)
x
2
#s(literal 2 binary64)
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos x)
(cos.f64 x)
(* eps (+ (* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(.f64 eps (+.f64 (.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))))
(+ (* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+.f64 (.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))))
(* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64)))))
(- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(-.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))))
-1/6
#s(literal -1/6 binary64)
(+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
(+.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64))))
-1/2
#s(literal -1/2 binary64)
(+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64)))
(/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1/2 (pow (sin x) 2))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -5/6 binary64)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64)))
(/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* 1/6 (pow (sin x) 2))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 4 binary64)))
(* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(- (tan (+ x eps)) x)
(-.f64 (tan.f64 (+.f64 eps x)) x)
(tan (+ x eps))
(tan.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin eps)
(sin.f64 eps)
eps
(cos eps)
(cos.f64 eps)
(+ (* (/ 1 (cos (+ x eps))) (sin (+ x eps))) (- 0 (tan x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(/ 1 (cos (+ x eps)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))
1
#s(literal 1 binary64)
(cos (+ x eps))
(cos.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
(sin (+ x eps))
(sin.f64 (+.f64 eps x))
(- 0 (tan x))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
0
#s(literal 0 binary64)
(tan x)
(tan.f64 x)
(/ (- (* (+ (tan x) (tan eps)) (/ 1 (tan x))) (* (- 1 (* (tan x) (tan eps))) 1)) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(- (* (+ (tan x) (tan eps)) (/ 1 (tan x))) (* (- 1 (* (tan x) (tan eps))) 1))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (tan.f64 eps) (tan.f64 x)))
(* (+ (tan x) (tan eps)) (/ 1 (tan x)))
(+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) (tan.f64 x)))
(+ (tan x) (tan eps))
(+.f64 (tan.f64 x) (tan.f64 eps))
(tan x)
(tan.f64 x)
x
(tan eps)
(tan.f64 eps)
eps
(/ 1 (tan x))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
1
#s(literal 1 binary64)
(* (- 1 (* (tan x) (tan eps))) 1)
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(- 1 (* (tan x) (tan eps)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(* (tan x) (tan eps))
(*.f64 (tan.f64 x) (tan.f64 eps))
(* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x)))
(-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 eps))

localize913.0ms (5.4%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	accuracy	99.8%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	accuracy	99.7%	(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	accuracy	92.5%	(-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
✓	accuracy	99.9%	(sin.f64 (+.f64 x eps))
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	92.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	100.0%	(/.f64 (sin.f64 eps) (cos.f64 eps))
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	99.9%	(tan.f64 (+.f64 x eps))
✓	accuracy	92.4%	(-.f64 (tan.f64 (+.f64 x eps)) x)
✓	accuracy	99.8%	(-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
✓	accuracy	99.8%	(*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 eps (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
✓	accuracy	99.3%	(-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))

Results

611.0ms	136×	5	exit
112.0ms	111×	0	valid
14.0ms	6×	1	valid
5.0ms	1×	3	valid
4.0ms	2×	2	valid

Compiler

Compiled 831 to 53 computations (93.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 302.0ms

backward-pass: 104.0ms (34.5% of total)

ival-sin: 42.0ms (13.9% of total)

ival-mult: 36.0ms (11.9% of total)

ival-tan: 23.0ms (7.6% of total)

ival-div: 22.0ms (7.3% of total)

ival-add: 18.0ms (6% of total)

ival-sub: 14.0ms (4.6% of total)

...c/correct-round.rkt:119:19: 13.0ms (4.3% of total)

ival-pow: 11.0ms (3.6% of total)

compiled-spec: 9.0ms (3% of total)

ival-cos: 9.0ms (3% of total)

const: 2.0ms (0.7% of total)

series78.0ms (0.5%)

Counts

21 → 408

Calls

Call 1

Inputs
#<alt (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))>
#<alt (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (- (tan (+ x eps)) x)>
#<alt (tan (+ x eps))>
#<alt (+ x eps)>
#<alt (/ (sin eps) (cos eps))>
#<alt (sin eps)>
#<alt (cos eps)>
#<alt (+ (* (/ 1 (cos (+ x eps))) (sin (+ x eps))) (- 0 (tan x)))>
#<alt (/ 1 (cos (+ x eps)))>
#<alt (cos (+ x eps))>
#<alt (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x)))>
#<alt (/ (- (* (+ (tan x) (tan eps)) (/ 1 (tan x))) (* (- 1 (* (tan x) (tan eps))) 1)) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))>
#<alt (* (+ (tan x) (tan eps)) (/ 1 (tan x)))>
#<alt (- (* (+ (tan x) (tan eps)) (/ 1 (tan x))) (* (- 1 (* (tan x) (tan eps))) 1))>
#<alt (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))>
#<alt (* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (sin (+ x eps))>

Outputs
#<alt (* -4/3 (pow x 2))>
#<alt (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1382/945 (pow x 2)) 248/135)) 17/9)) 4/3))>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (* -5/6 (pow x 2))>
#<alt (* (pow x 2) (- (* -14/9 (pow x 2)) 5/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -89/54 (pow x 2)) 14/9)) 5/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1289/945 (pow x 2)) 89/54)) 14/9)) 5/6))>
#<alt (- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))>
#<alt (+ 1 (* 1/3 (pow eps 2)))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* (pow eps 2) (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (+ (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 5/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))>
#<alt (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))>
#<alt (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))>
#<alt (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))>
#<alt (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))>
#<alt (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))>
#<alt (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))>
#<alt (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))>
#<alt (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
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#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
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#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
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#<alt (* eps (+ (/ (* eps (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (pow (cos x) 2)) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (* eps (+ (* eps (- (* eps (- (/ (* (sin x) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (/ (* (sin x) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (cos x))) (* -1/3 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2)))))) (/ (* (sin x) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (cos x))) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (sin eps) (* x (cos eps)))>
#<alt (/ (+ x (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* x (+ 1 (* -1/3 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* x (+ 1 (* x (- (* -1 (* (pow x 2) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (* 1/3 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt 1>
#<alt (+ 1 (/ (* eps (cos x)) (sin x)))>
#<alt (+ 1 (* eps (+ (* 1/3 (/ (* (pow eps 2) (cos x)) (sin x))) (/ (cos x) (sin x)))))>
#<alt (+ 1 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (cos x)) (sin x))) (* 1/3 (/ (cos x) (sin x))))) (/ (cos x) (sin x)))))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (sin eps) (* x (cos eps)))>
#<alt (/ (+ (* (pow x 2) (- (/ (sin eps) (cos eps)) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* (pow x 2) (- (+ (* (pow x 2) (- (* 1/3 (/ (sin eps) (cos eps))) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (/ (sin eps) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* (pow x 2) (- (+ (* (pow x 2) (- (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 2/15 (/ (sin eps) (cos eps))) (+ (* -1/3 (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))) (+ (* -2/45 (/ (sin eps) (cos eps))) (* 17/315 (/ (sin eps) (cos eps)))))))) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (/ (sin eps) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 2/15 (/ (cos x) (sin x))) (* 2/15 (/ (sin x) (cos x)))))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 2/15 (/ (cos x) (sin x))) (+ (* 2/15 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (cos x) (sin x))) (* 17/315 (/ (sin x) (cos x))))))))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt 1/3>
#<alt (+ 1/3 (* 4/3 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))>
#<alt (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* 1/3 eps)>
#<alt (+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))>
#<alt (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))>
#<alt (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/135 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/135 (* -1/1890 (pow x 2)))) 1/18))))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (sin eps)>
#<alt (+ (sin eps) (* x (cos eps)))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin x)>
#<alt (+ (sin x) (* eps (cos x)))>
#<alt (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))>
#<alt (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>

Calls

102 calls:

Time	Variable		Point	Expression
11.0ms	eps	@	-inf	(/ (- (* (+ (tan x) (tan eps)) (/ 1 (tan x))) (* (- 1 (* (tan x) (tan eps))) 1)) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
6.0ms	x	@	inf	(+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
5.0ms	x	@	-inf	(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
3.0ms	x	@	inf	(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
3.0ms	x	@	-inf	(+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))

rewrite335.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

2784×	`-lowering-.f32`
2784×	`-lowering-.f64`
2196×	`/-lowering-/.f32`
2196×	`/-lowering-/.f64`
1674×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	379
1	409	201
2	4847	193
0	8183	193

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 464

Calls

Call 1

Inputs
(+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* (/ (sin x) (cos x)) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(- (tan (+ x eps)) x)
(tan (+ x eps))
(+ x eps)
(/ (sin eps) (cos eps))
(sin eps)
(cos eps)
(+ (* (/ 1 (cos (+ x eps))) (sin (+ x eps))) (- 0 (tan x)))
(/ 1 (cos (+ x eps)))
(cos (+ x eps))
(* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x)))
(/ (- (* (+ (tan x) (tan eps)) (/ 1 (tan x))) (* (- 1 (* (tan x) (tan eps))) 1)) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
(* (+ (tan x) (tan eps)) (/ 1 (tan x)))
(- (* (+ (tan x) (tan eps)) (/ 1 (tan x))) (* (- 1 (* (tan x) (tan eps))) 1))
(- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(* eps (- -1/6 (+ -1/2 (+ (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)) (- (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(* 1/6 (pow (sin x) 2))
(sin (+ x eps))

Outputs
(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal 1/6 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 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 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 1/6 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 -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 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 -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (+.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (-.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 -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (neg.f64 (-.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 -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (-.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 -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (neg.f64 (-.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 -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (-.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 -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (neg.f64 (-.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 -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 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)))))
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (-.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 -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/6 binary64)) (neg.f64 (-.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 -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (.f64 #s(literal -1/2 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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/6 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)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (neg.f64 (-.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 -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (neg.f64 (-.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 -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 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 1/6 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 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 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 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (-.f64 (pow.f64 (.f64 #s(literal -1/2 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 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 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 1/6 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 -1/2 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 1/6 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 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 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 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 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 1/6 binary64) (+.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) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (pow.f64 (.f64 #s(literal 1/6 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 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (.f64 #s(literal 1/6 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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (pow.f64 (.f64 #s(literal 1/6 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 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (.f64 #s(literal 1/6 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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
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(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 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))))) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 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)))))))
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(+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 eps (+.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 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)))))) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 (+.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 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)))))) #s(literal 1/2 binary64)) eps))
(/.f64 (.f64 eps (-.f64 #s(literal -1/216 binary64) (pow.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 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)))))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 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 #s(literal -2/3 binary64) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 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 eps (-.f64 #s(literal 1/36 binary64) (pow.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 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)))))) #s(literal 2 binary64)))) (+.f64 #s(literal -2/3 binary64) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 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)))))))
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(.f64 (sin.f64 x) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 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 1/6 binary64) (sin.f64 x)) (sin.f64 x))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)))
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(+.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(sin.f64 (+.f64 x eps))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))))
(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)))
(*.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))

simplify340.0ms (2%)

Algorithm

1×	egg-herbie

Rules

5898×	`-lowering-.f32`
5898×	`-lowering-.f64`
3770×	`+-lowering-+.f64`
3770×	`+-lowering-+.f32`
1508×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	698	8529
1	2356	7387
0	8421	7387

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(* -4/3 (pow x 2))
(* (pow x 2) (- (* -17/9 (pow x 2)) 4/3))
(* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1382/945 (pow x 2)) 248/135)) 17/9)) 4/3))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(* -5/6 (pow x 2))
(* (pow x 2) (- (* -14/9 (pow x 2)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* -89/54 (pow x 2)) 14/9)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1289/945 (pow x 2)) 89/54)) 14/9)) 5/6))
(- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(- (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
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(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* x (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (cos x))
(* eps (+ (/ (* eps (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (pow (cos x) 2)) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))
(* eps (+ (* eps (- (* eps (- (/ (* (sin x) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (/ (* (sin x) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (cos x))) (* -1/3 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2)))))) (/ (* (sin x) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (cos x))) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (sin eps) (* x (cos eps)))
(/ (+ x (/ (sin eps) (cos eps))) x)
(/ (+ (* x (+ 1 (* -1/3 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/ (+ (* x (+ 1 (* x (- (* -1 (* (pow x 2) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (* 1/3 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))) x)
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
1
(+ 1 (/ (* eps (cos x)) (sin x)))
(+ 1 (* eps (+ (* 1/3 (/ (* (pow eps 2) (cos x)) (sin x))) (/ (cos x) (sin x)))))
(+ 1 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (cos x)) (sin x))) (* 1/3 (/ (cos x) (sin x))))) (/ (cos x) (sin x)))))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (sin eps) (* x (cos eps)))
(/ (+ (* (pow x 2) (- (/ (sin eps) (cos eps)) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/ (+ (* (pow x 2) (- (+ (* (pow x 2) (- (* 1/3 (/ (sin eps) (cos eps))) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (/ (sin eps) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/ (+ (* (pow x 2) (- (+ (* (pow x 2) (- (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 2/15 (/ (sin eps) (cos eps))) (+ (* -1/3 (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))) (+ (* -2/45 (/ (sin eps) (cos eps))) (* 17/315 (/ (sin eps) (cos eps)))))))) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (/ (sin eps) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 2/15 (/ (cos x) (sin x))) (* 2/15 (/ (sin x) (cos x)))))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 2/15 (/ (cos x) (sin x))) (+ (* 2/15 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (cos x) (sin x))) (* 17/315 (/ (sin x) (cos x))))))))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
1/3
(+ 1/3 (* 4/3 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* 1/3 eps)
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/135 (pow x 2)) 1/18))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/135 (* -1/1890 (pow x 2)))) 1/18))))
(* 1/6 (pow (sin x) 2))
(* 1/6 (pow (sin x) 2))
(* 1/6 (pow (sin x) 2))
(* 1/6 (pow (sin x) 2))
(* 1/6 (pow (sin x) 2))
(* 1/6 (pow (sin x) 2))
(* 1/6 (pow (sin x) 2))
(* 1/6 (pow (sin x) 2))
(sin eps)
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))

Outputs
(* -4/3 (pow x 2))
(.f64 #s(literal -4/3 binary64) (.f64 x x))
(* (pow x 2) (- (* -17/9 (pow x 2)) 4/3))
(.f64 x (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 (.f64 x x) #s(literal -17/9 binary64)))))
(* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3))
(.f64 (.f64 x x) (+.f64 #s(literal -4/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -17/9 binary64) (.f64 (.f64 x x) #s(literal -248/135 binary64))))))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1382/945 (pow x 2)) 248/135)) 17/9)) 4/3))
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(* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (*.f64 #s(literal -1/2 binary64) (sin.f64 eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 x eps))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 x eps))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 x eps))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 x eps))
(sin x)
(sin.f64 x)
(+ (sin x) (* eps (cos x)))
(+.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))))))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 x eps))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 x eps))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 x eps))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 x eps))

eval135.0ms (0.8%)

Compiler: Compiled 41101 to 3448 computations (91.6% saved)

prune112.0ms (0.7%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	922	24	946
Fresh	5	7	12
Picked	4	1	5
Done	0	1	1
Total	931	33	964

Accuracy

100.0%

Counts

964 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.1%	(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))))
	62.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
✓	62.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
	62.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
	62.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (.f64 x x) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
	62.5%	(/.f64 (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	98.2%	(/.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (.f64 x x) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (.f64 x x) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 14/45 binary64)))))) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	61.1%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) eps))
▶	99.4%	(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	62.6%	(/.f64 (+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	97.9%	(/.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))) (cos.f64 x))
▶	98.5%	(/.f64 (.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	97.7%	(/.f64 eps (cos.f64 eps))
	62.8%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	62.9%	(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶	62.7%	(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
	61.8%	(-.f64 (tan.f64 (+.f64 x eps)) (.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)))))))))
	61.6%	(-.f64 (tan.f64 (+.f64 x eps)) (.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))))))))
✓	62.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	34.1%	(-.f64 (tan.f64 (.f64 (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (+.f64 (.f64 x x) (*.f64 eps (-.f64 eps x)))))) (tan.f64 x))
	7.7%	(-.f64 (tan.f64 eps) x)
	7.7%	(-.f64 #s(literal 0 binary64) x)
	98.4%	(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
	98.7%	(.f64 eps (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
	98.9%	(.f64 eps (+.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 eps (+.f64 (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 4/3 binary64)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
▶	98.4%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
	98.4%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
	97.5%	(.f64 eps (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (.f64 x eps))))
	97.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 eps eps) #s(literal 2/15 binary64)))))))
	97.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 eps eps) #s(literal 17/315 binary64))))))))))
	97.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
	97.7%	(tan.f64 eps)
▶	97.6%	eps

Compiler

Compiled 1462 to 819 computations (44% saved)

simplify206.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
✓	cost-diff	0	(*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
✓	cost-diff	0	(/.f64 (.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	cost-diff	6656	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	0	(cos.f64 (+.f64 x eps))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
✓	cost-diff	0	(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))
✓	cost-diff	0	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps))))))))
✓	cost-diff	0	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
✓	cost-diff	128	(+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps))))))
✓	cost-diff	0	(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	cost-diff	6656	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	13056	(+.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (*.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 x)))

Rules

6002×	`+-lowering-+.f64`
6002×	`+-lowering-+.f32`
2752×	`-lowering-.f32`
2752×	`-lowering-.f64`
1910×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	399
1	145	384
2	413	368
3	1146	352
4	3681	348
0	8370	348

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))) (/ (* (cos x) (/ (sin eps) (cos eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
(+ (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))) (/ (* (cos x) (/ (sin eps) (cos eps))) (sin x)))
(/ (* (sin x) (sin eps)) (* (cos x) (cos eps)))
(* (sin x) (sin eps))
(sin x)
x
(sin eps)
eps
(* (cos x) (cos eps))
(cos x)
(cos eps)
(/ (* (cos x) (/ (sin eps) (cos eps))) (sin x))
(* (cos x) (/ (sin eps) (cos eps)))
(/ (sin eps) (cos eps))
(* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x)))
(- 1 (* (tan x) (tan eps)))
1
(* (tan x) (tan eps))
(tan x)
(tan eps)
(/ 1 (tan x))
eps
(* eps (+ (+ 1 (* 1/3 (* eps eps))) (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))))
eps
(+ (+ 1 (* 1/3 (* eps eps))) (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))))
(+ 1 (* 1/3 (* eps eps)))
1
(* 1/3 (* eps eps))
1/3
(* eps eps)
(* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))
x
(+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))
(* x (+ 1 (* 4/3 (* eps (+ x eps)))))
(+ 1 (* 4/3 (* eps (+ x eps))))
(* 4/3 (* eps (+ x eps)))
4/3
(* eps (+ x eps))
(+ x eps)
(- (* (/ 1 (cos (+ x eps))) (sin (+ x eps))) (tan x))
(* (/ 1 (cos (+ x eps))) (sin (+ x eps)))
(/ 1 (cos (+ x eps)))
1
(cos (+ x eps))
(+ x eps)
x
eps
(sin (+ x eps))
(tan x)
(/ (* eps (+ (/ (sin x) (cos x)) (/ (cos x) (sin x)))) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
(* eps (+ (/ (sin x) (cos x)) (/ (cos x) (sin x))))
eps
(+ (/ (sin x) (cos x)) (/ (cos x) (sin x)))
(/ (sin x) (cos x))
(sin x)
x
(cos x)
(/ (cos x) (sin x))
(* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x)))
(- 1 (* (tan x) (tan eps)))
1
(* (tan x) (tan eps))
(tan x)
(tan eps)
(/ 1 (tan x))

Outputs
(/ (+ (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))) (/ (* (cos x) (/ (sin eps) (cos eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 eps)))
(+ (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))) (/ (* (cos x) (/ (sin eps) (cos eps))) (sin x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(/ (* (sin x) (sin eps)) (* (cos x) (cos eps)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (cos.f64 x)))
(* (sin x) (sin eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(sin x)
(sin.f64 x)
x
(sin eps)
(sin.f64 eps)
eps
(* (cos x) (cos eps))
(*.f64 (cos.f64 x) (cos.f64 eps))
(cos x)
(cos.f64 x)
(cos eps)
(cos.f64 eps)
(/ (* (cos x) (/ (sin eps) (cos eps))) (sin x))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 eps))
(* (cos x) (/ (sin eps) (cos eps)))
(/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x)))
(-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 eps))
(- 1 (* (tan x) (tan eps)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
1
#s(literal 1 binary64)
(* (tan x) (tan eps))
(*.f64 (tan.f64 x) (tan.f64 eps))
(tan x)
(tan.f64 x)
(tan eps)
(tan.f64 eps)
(/ 1 (tan x))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
eps
(* eps (+ (+ 1 (* 1/3 (* eps eps))) (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps #s(literal 1/3 binary64))) (.f64 (+.f64 x eps) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 eps #s(literal 4/3 binary64)))))))))
eps
(+ (+ 1 (* 1/3 (* eps eps))) (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps #s(literal 1/3 binary64))) (.f64 (+.f64 x eps) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps #s(literal 4/3 binary64))))))))
(+ 1 (* 1/3 (* eps eps)))
(+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal 1/3 binary64))))
1
#s(literal 1 binary64)
(* 1/3 (* eps eps))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(* eps eps)
(*.f64 eps eps)
(* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))
(.f64 (+.f64 x eps) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps #s(literal 4/3 binary64))))))
x
(+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))
(.f64 (+.f64 x eps) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 eps #s(literal 4/3 binary64)))))
(* x (+ 1 (* 4/3 (* eps (+ x eps)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))
(+ 1 (* 4/3 (* eps (+ x eps))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps))))
(* 4/3 (* eps (+ x eps)))
(.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)))
4/3
#s(literal 4/3 binary64)
(* eps (+ x eps))
(*.f64 eps (+.f64 x eps))
(+ x eps)
(+.f64 x eps)
(- (* (/ 1 (cos (+ x eps))) (sin (+ x eps))) (tan x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(* (/ 1 (cos (+ x eps))) (sin (+ x eps)))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/ 1 (cos (+ x eps)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
1
#s(literal 1 binary64)
(cos (+ x eps))
(cos.f64 (+.f64 x eps))
(+ x eps)
(+.f64 x eps)
x
eps
(sin (+ x eps))
(sin.f64 (+.f64 x eps))
(tan x)
(tan.f64 x)
(/ (* eps (+ (/ (sin x) (cos x)) (/ (cos x) (sin x)))) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
(/.f64 (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 eps)))
(* eps (+ (/ (sin x) (cos x)) (/ (cos x) (sin x))))
(*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
eps
(+ (/ (sin x) (cos x)) (/ (cos x) (sin x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin x)
(sin.f64 x)
x
(cos x)
(cos.f64 x)
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x)))
(-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 eps))
(- 1 (* (tan x) (tan eps)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
1
#s(literal 1 binary64)
(* (tan x) (tan eps))
(*.f64 (tan.f64 x) (tan.f64 eps))
(tan x)
(tan.f64 x)
(tan eps)
(tan.f64 eps)
(/ 1 (tan x))
(/.f64 #s(literal 1 binary64) (tan.f64 x))

localize390.0ms (2.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
✓	accuracy	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	accuracy	99.5%	(*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
✓	accuracy	99.5%	(/.f64 (.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	99.9%	(sin.f64 (+.f64 x eps))
✓	accuracy	62.9%	(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
✓	accuracy	99.8%	(.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)))))))
✓	accuracy	99.8%	(*.f64 eps (+.f64 x eps))
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
✓	accuracy	99.7%	(.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)))
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (*.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 x)))
✓	accuracy	100.0%	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	accuracy	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	accuracy	99.5%	(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))

Results

234.0ms	140×	1	valid
80.0ms	116×	0	valid

Compiler

Compiled 428 to 46 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult: 64.0ms (39.6% of total)

ival-div: 22.0ms (13.6% of total)

backward-pass: 18.0ms (11.1% of total)

ival-add: 15.0ms (9.3% of total)

...c/correct-round.rkt:119:19: 12.0ms (7.4% of total)

ival-sin: 10.0ms (6.2% of total)

ival-cos: 9.0ms (5.6% of total)

ival-tan: 7.0ms (4.3% of total)

ival-sub: 4.0ms (2.5% of total)

const: 1.0ms (0.6% of total)

series68.0ms (0.4%)

Counts

21 → 468

Calls

Call 1

Inputs
#<alt (+ (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))) (/ (* (cos x) (/ (sin eps) (cos eps))) (sin x)))>
#<alt (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x)))>
#<alt (/ (+ (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))) (/ (* (cos x) (/ (sin eps) (cos eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))>
#<alt (/ (* (sin x) (sin eps)) (* (cos x) (cos eps)))>
#<alt (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))>
#<alt (* eps (+ (+ 1 (* 1/3 (* eps eps))) (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))))>
#<alt (+ (+ 1 (* 1/3 (* eps eps))) (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))))>
#<alt (+ 1 (* 1/3 (* eps eps)))>
#<alt (* (/ 1 (cos (+ x eps))) (sin (+ x eps)))>
#<alt (- (* (/ 1 (cos (+ x eps))) (sin (+ x eps))) (tan x))>
#<alt (/ 1 (cos (+ x eps)))>
#<alt (cos (+ x eps))>
#<alt (/ (* eps (+ (/ (sin x) (cos x)) (/ (cos x) (sin x)))) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))>
#<alt (* eps (+ (/ (sin x) (cos x)) (/ (cos x) (sin x))))>
#<alt (+ (/ (sin x) (cos x)) (/ (cos x) (sin x)))>
#<alt (* (sin x) (sin eps))>
#<alt (* 4/3 (* eps (+ x eps)))>
#<alt (* 1/3 (* eps eps))>
#<alt (* eps (+ x eps))>
#<alt (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))>
#<alt (sin (+ x eps))>

Outputs
#<alt (/ (sin eps) (* x (cos eps)))>
#<alt (/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* (pow x 2) (- (+ (* -1/6 (/ (sin eps) (cos eps))) (* 1/24 (/ (sin eps) (cos eps)))) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* (pow x 2) (- (+ (* -1/6 (/ (sin eps) (cos eps))) (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* -1/720 (/ (sin eps) (cos eps))) (* 1/120 (/ (sin eps) (cos eps)))) (+ (* -1/2 (- (* -1/6 (/ (sin eps) (cos eps))) (* -1/2 (/ (sin eps) (cos eps))))) (+ (* -1/6 (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps)))))) (+ (* -1/5040 (/ (sin eps) (cos eps))) (+ (* 1/120 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/24 (/ (sin eps) (cos eps))))))))))) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (+ (* -1/6 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* 1/120 (/ (cos x) (sin x))) (* 1/120 (/ (sin x) (cos x)))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (+ (* 1/24 (/ (cos x) (sin x))) (* 1/24 (/ (sin x) (cos x)))))))))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (+ (* -1/6 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* 1/120 (/ (cos x) (sin x))) (+ (* 1/120 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* -1/5040 (/ (cos x) (sin x))) (* -1/5040 (/ (sin x) (cos x)))) (+ (* -1/2 (- (* 1/120 (/ (cos x) (sin x))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (* 1/24 (/ (cos x) (sin x)))))) (+ (* -1/2 (- (* 1/120 (/ (sin x) (cos x))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (* 1/24 (/ (sin x) (cos x)))))) (+ (* -1/720 (/ (cos x) (sin x))) (+ (* -1/720 (/ (sin x) (cos x))) (+ (* 1/24 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (* 1/24 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x)))))))))))))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (+ (* 1/24 (/ (cos x) (sin x))) (* 1/24 (/ (sin x) (cos x)))))))))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))) x)>
#<alt (/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 x)))) x)>
#<alt (/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* -1/45 (pow x 2)) 1/3))))) x)>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (+ (* -1 eps) (/ (cos x) (sin x)))>
#<alt (+ (* eps (- (* -1/3 (pow eps 2)) 1)) (/ (cos x) (sin x)))>
#<alt (+ (* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1)) (/ (cos x) (sin x)))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (* x (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/6 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/6 (/ (sin eps) (cos eps)))))) (cos eps))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/6 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (cos x))>
#<alt (* eps (+ (/ (* eps (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (pow (cos x) 2)) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (* eps (+ (* eps (- (* eps (- (/ (* (sin x) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (/ (* (sin x) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (cos x))) (* -1/3 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2)))))) (/ (* (sin x) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (cos x))) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* x (sin eps)) (cos eps))>
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#<alt (* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))>
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#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2)))))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2)))))))>
#<alt (* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))>
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#<alt 1>
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#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
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#<alt (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (* 1/2 (/ 1 (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (cos eps))) (+ (* -1/2 (/ (sin eps) (pow (cos eps) 2))) (* 1/6 (/ (sin eps) (pow (cos eps) 2))))))) (* 1/2 (/ 1 (cos eps)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))>
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#<alt (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2)))>
#<alt (+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x)))>
#<alt (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x)))>
#<alt (/ 1 (cos (+ eps x)))>
#<alt (/ 1 (cos (+ eps x)))>
#<alt (/ 1 (cos (+ eps x)))>
#<alt (/ 1 (cos (+ eps x)))>
#<alt (/ 1 (cos (- x (* -1 eps))))>
#<alt (/ 1 (cos (- x (* -1 eps))))>
#<alt (/ 1 (cos (- x (* -1 eps))))>
#<alt (/ 1 (cos (- x (* -1 eps))))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (cos x))>
#<alt (* eps (+ (/ (* eps (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (pow (cos x) 2)) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (* eps (+ (* eps (- (/ (* eps (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (pow (cos x) 3)) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (* eps (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (sin x) 4) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 4))) (* -1/3 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2)))))) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt eps>
#<alt (+ eps (/ (* eps (* x (sin eps))) (cos eps)))>
#<alt (+ eps (* x (- (* x (- eps (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 2))))) (* -1 (/ (* eps (sin eps)) (cos eps))))))>
#<alt (+ eps (* x (- (* x (- (+ eps (* -1 (* x (+ (* -1 (/ (* (sin eps) (- eps (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (* eps (sin eps)) (cos eps))))))) (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 2))))) (* -1 (/ (* eps (sin eps)) (cos eps))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (/ eps x)>
#<alt (/ (+ eps (* 2/3 (* eps (pow x 2)))) x)>
#<alt (/ (+ eps (* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))) x)>
#<alt (/ (+ eps (* (pow x 2) (+ (* 2/3 eps) (* (pow x 2) (+ (* 124/945 (* eps (pow x 2))) (* 14/45 eps)))))) x)>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 2/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 14/45 (* 124/945 (pow x 2))))))) x)>
#<alt (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))>
#<alt (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))>
#<alt (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))>
#<alt (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))>
#<alt (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))>
#<alt (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))>
#<alt (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))>
#<alt (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))>
#<alt (* x (sin eps))>
#<alt (* x (+ (sin eps) (* -1/6 (* (pow x 2) (sin eps)))))>
#<alt (* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* 1/120 (* (pow x 2) (sin eps)))))))>
#<alt (* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin eps))) (* 1/120 (sin eps))))))))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (+ (sin x) (* -1/6 (* (pow eps 2) (sin x)))))>
#<alt (* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* 1/120 (* (pow eps 2) (sin x)))))))>
#<alt (* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (sin x))) (* 1/120 (sin x))))))))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* (sin eps) (sin x))>
#<alt (* 4/3 (* eps x))>
#<alt (* eps (+ (* 4/3 eps) (* 4/3 x)))>
#<alt (* eps (+ (* 4/3 eps) (* 4/3 x)))>
#<alt (* eps (+ (* 4/3 eps) (* 4/3 x)))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))>
#<alt (* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))>
#<alt (* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))>
#<alt (* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))>
#<alt (* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))>
#<alt (* 4/3 (pow eps 2))>
#<alt (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))>
#<alt (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))>
#<alt (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))>
#<alt (* 4/3 (* eps x))>
#<alt (* x (+ (* 4/3 eps) (* 4/3 (/ (pow eps 2) x))))>
#<alt (* x (+ (* 4/3 eps) (* 4/3 (/ (pow eps 2) x))))>
#<alt (* x (+ (* 4/3 eps) (* 4/3 (/ (pow eps 2) x))))>
#<alt (* 4/3 (* eps x))>
#<alt (* -1 (* x (+ (* -4/3 eps) (* -4/3 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -4/3 eps) (* -4/3 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -4/3 eps) (* -4/3 (/ (pow eps 2) x)))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* eps x)>
#<alt (* eps (+ eps x))>
#<alt (* eps (+ eps x))>
#<alt (* eps (+ eps x))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (pow eps 2)>
#<alt (+ (* eps x) (pow eps 2))>
#<alt (+ (* eps x) (pow eps 2))>
#<alt (+ (* eps x) (pow eps 2))>
#<alt (* eps x)>
#<alt (* x (+ eps (/ (pow eps 2) x)))>
#<alt (* x (+ eps (/ (pow eps 2) x)))>
#<alt (* x (+ eps (/ (pow eps 2) x)))>
#<alt (* eps x)>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* eps x)>
#<alt (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))>
#<alt (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))>
#<alt (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))>
#<alt (* 4/3 (* eps (pow x 3)))>
#<alt (* (pow x 3) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (/ 1 x))))>
#<alt (* (pow x 3) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (/ eps (pow x 2))))))>
#<alt (* (pow x 3) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (/ eps (pow x 2))))))>
#<alt (* 4/3 (* eps (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))) x)))))>
#<alt (pow x 2)>
#<alt (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))>
#<alt (+ (* eps (+ (* 4/3 (* eps (pow x 2))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (+ (* eps (+ (* 4/3 (* eps (pow x 2))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (* 4/3 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 4/3 (pow x 2)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps)))>
#<alt (* (pow eps 2) (+ (* 4/3 (pow x 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 4/3 (pow x 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2)))))>
#<alt (* 4/3 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) (* 4/3 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2))))>
#<alt (sin eps)>
#<alt (+ (sin eps) (* x (cos eps)))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin x)>
#<alt (+ (sin x) (* eps (cos x)))>
#<alt (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))>
#<alt (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>

Calls

117 calls:

Time	Variable		Point	Expression
18.0ms	eps	@	-inf	(* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))
5.0ms	x	@	inf	(* eps (+ (+ 1 (* 1/3 (* eps eps))) (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))))
2.0ms	x	@	-inf	(/ (* eps (+ (/ (sin x) (cos x)) (/ (cos x) (sin x)))) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
2.0ms	eps	@	0	(+ (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))) (/ (* (cos x) (/ (sin eps) (cos eps))) (sin x)))
2.0ms	x	@	inf	(/ (* eps (+ (/ (sin x) (cos x)) (/ (cos x) (sin x)))) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))

rewrite373.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3840×	`-lowering-.f32`
3840×	`-lowering-.f64`
2632×	`/-lowering-/.f32`
2632×	`/-lowering-/.f64`
2328×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	215
1	324	196
2	3796	184
0	8771	184

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 542

Calls

Call 1

Inputs
(+ (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))) (/ (* (cos x) (/ (sin eps) (cos eps))) (sin x)))
(* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x)))
(/ (+ (/ (* (sin x) (sin eps)) (* (cos x) (cos eps))) (/ (* (cos x) (/ (sin eps) (cos eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
(/ (* (sin x) (sin eps)) (* (cos x) (cos eps)))
(+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))
(* eps (+ (+ 1 (* 1/3 (* eps eps))) (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))))
(+ (+ 1 (* 1/3 (* eps eps))) (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))))
(+ 1 (* 1/3 (* eps eps)))
(* (/ 1 (cos (+ x eps))) (sin (+ x eps)))
(- (* (/ 1 (cos (+ x eps))) (sin (+ x eps))) (tan x))
(/ 1 (cos (+ x eps)))
(cos (+ x eps))
(/ (* eps (+ (/ (sin x) (cos x)) (/ (cos x) (sin x)))) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
(* eps (+ (/ (sin x) (cos x)) (/ (cos x) (sin x))))
(+ (/ (sin x) (cos x)) (/ (cos x) (sin x)))
(* (sin x) (sin eps))
(* 4/3 (* eps (+ x eps)))
(* 1/3 (* eps eps))
(* eps (+ x eps))
(* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))
(sin (+ x eps))

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

simplify383.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

5280×	`-lowering-.f32`
5280×	`-lowering-.f64`
5216×	`+-lowering-+.f64`
5216×	`+-lowering-+.f32`
1360×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	891	8743
1	3266	7965
0	8179	7965

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(/ (sin eps) (* x (cos eps)))
(/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* (pow x 2) (- (+ (* -1/6 (/ (sin eps) (cos eps))) (* 1/24 (/ (sin eps) (cos eps)))) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* (pow x 2) (- (+ (* -1/6 (/ (sin eps) (cos eps))) (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* -1/720 (/ (sin eps) (cos eps))) (* 1/120 (/ (sin eps) (cos eps)))) (+ (* -1/2 (- (* -1/6 (/ (sin eps) (cos eps))) (* -1/2 (/ (sin eps) (cos eps))))) (+ (* -1/6 (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps)))))) (+ (* -1/5040 (/ (sin eps) (cos eps))) (+ (* 1/120 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/24 (/ (sin eps) (cos eps))))))))))) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (+ (* -1/6 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* 1/120 (/ (cos x) (sin x))) (* 1/120 (/ (sin x) (cos x)))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (+ (* 1/24 (/ (cos x) (sin x))) (* 1/24 (/ (sin x) (cos x)))))))))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (+ (* -1/6 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* 1/120 (/ (cos x) (sin x))) (+ (* 1/120 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* -1/5040 (/ (cos x) (sin x))) (* -1/5040 (/ (sin x) (cos x)))) (+ (* -1/2 (- (* 1/120 (/ (cos x) (sin x))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (* 1/24 (/ (cos x) (sin x)))))) (+ (* -1/2 (- (* 1/120 (/ (sin x) (cos x))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (* 1/24 (/ (sin x) (cos x)))))) (+ (* -1/720 (/ (cos x) (sin x))) (+ (* -1/720 (/ (sin x) (cos x))) (+ (* 1/24 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (* 1/24 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x)))))))))))))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (+ (* 1/24 (/ (cos x) (sin x))) (* 1/24 (/ (sin x) (cos x)))))))))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))) x)
(/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 x)))) x)
(/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* -1/45 (pow x 2)) 1/3))))) x)
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (cos x) (sin x))
(+ (* -1 eps) (/ (cos x) (sin x)))
(+ (* eps (- (* -1/3 (pow eps 2)) 1)) (/ (cos x) (sin x)))
(+ (* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1)) (/ (cos x) (sin x)))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* x (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/6 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/6 (/ (sin eps) (cos eps)))))) (cos eps))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/6 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (cos x))
(* eps (+ (/ (* eps (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (pow (cos x) 2)) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))
(* eps (+ (* eps (- (* eps (- (/ (* (sin x) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (/ (* (sin x) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (cos x))) (* -1/3 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2)))))) (/ (* (sin x) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (cos x))) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* x (sin eps)) (cos eps))
(* x (+ (* (pow x 2) (- (* -1/6 (/ (sin eps) (cos eps))) (* -1/2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/120 (/ (sin eps) (cos eps))) (+ (* -1/2 (- (* -1/6 (/ (sin eps) (cos eps))) (* -1/2 (/ (sin eps) (cos eps))))) (* 1/24 (/ (sin eps) (cos eps))))))) (* -1/2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/120 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/5040 (/ (sin eps) (cos eps))) (+ (* -1/2 (- (* 1/120 (/ (sin eps) (cos eps))) (+ (* -1/2 (- (* -1/6 (/ (sin eps) (cos eps))) (* -1/2 (/ (sin eps) (cos eps))))) (* 1/24 (/ (sin eps) (cos eps)))))) (+ (* -1/720 (/ (sin eps) (cos eps))) (* 1/24 (- (* -1/6 (/ (sin eps) (cos eps))) (* -1/2 (/ (sin eps) (cos eps)))))))))) (+ (* -1/2 (- (* -1/6 (/ (sin eps) (cos eps))) (* -1/2 (/ (sin eps) (cos eps))))) (* 1/24 (/ (sin eps) (cos eps))))))) (* -1/2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* eps (sin x)) (cos x))
(* eps (+ (* (pow eps 2) (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (sin x) (cos x))) (* (pow eps 2) (- (* 1/120 (/ (sin x) (cos x))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (* 1/24 (/ (sin x) (cos x))))))) (* -1/2 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* 1/120 (/ (sin x) (cos x))) (* (pow eps 2) (- (* -1/5040 (/ (sin x) (cos x))) (+ (* -1/2 (- (* 1/120 (/ (sin x) (cos x))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (* 1/24 (/ (sin x) (cos x)))))) (+ (* -1/720 (/ (sin x) (cos x))) (* 1/24 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x)))))))))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (* 1/24 (/ (sin x) (cos x))))))) (* -1/2 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
x
(+ x (* eps (+ 1 (* 4/3 (pow x 2)))))
(+ x (* eps (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow x 2))))))
(+ x (* eps (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow x 2))))))
(* 4/3 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 4/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (/ 1 eps))))
(* (pow eps 2) (+ (* 4/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (/ 1 eps) (/ x (pow eps 2))))))
(* (pow eps 2) (+ (* 4/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (/ 1 eps) (/ x (pow eps 2))))))
(* 4/3 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ (- (* -4/3 (pow x 2)) 1) eps)) (* 4/3 x)))
(* (pow eps 2) (+ (* -1 (/ (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1) eps)) (* 4/3 x)))
(* (pow eps 2) (+ (* -1 (/ (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1) eps)) (* 4/3 x)))
eps
(+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))
(+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))
(+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))
(* 4/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (/ 1 x))))
(* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (/ eps (pow x 2))))))
(* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (/ eps (pow x 2))))))
(* 4/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x))) x)) (* 4/3 eps)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x))) x)) (* 4/3 eps)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))))
(* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))
(* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))
(* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))
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1
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eps
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(* x (+ (sin eps) (* -1/6 (* (pow x 2) (sin eps)))))
(* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* 1/120 (* (pow x 2) (sin eps)))))))
(* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin eps))) (* 1/120 (sin eps))))))))
(* (sin eps) (sin x))
(* (sin eps) (sin x))
(* (sin eps) (sin x))
(* (sin eps) (sin x))
(* (sin eps) (sin x))
(* (sin eps) (sin x))
(* (sin eps) (sin x))
(* (sin eps) (sin x))
(* eps (sin x))
(* eps (+ (sin x) (* -1/6 (* (pow eps 2) (sin x)))))
(* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* 1/120 (* (pow eps 2) (sin x)))))))
(* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (sin x))) (* 1/120 (sin x))))))))
(* (sin eps) (sin x))
(* (sin eps) (sin x))
(* (sin eps) (sin x))
(* (sin eps) (sin x))
(* (sin eps) (sin x))
(* (sin eps) (sin x))
(* (sin eps) (sin x))
(* (sin eps) (sin x))
(* 4/3 (* eps x))
(* eps (+ (* 4/3 eps) (* 4/3 x)))
(* eps (+ (* 4/3 eps) (* 4/3 x)))
(* eps (+ (* 4/3 eps) (* 4/3 x)))
(* 4/3 (pow eps 2))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(* 4/3 (pow eps 2))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(* 4/3 (pow eps 2))
(+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))
(+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))
(+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))
(* 4/3 (* eps x))
(* x (+ (* 4/3 eps) (* 4/3 (/ (pow eps 2) x))))
(* x (+ (* 4/3 eps) (* 4/3 (/ (pow eps 2) x))))
(* x (+ (* 4/3 eps) (* 4/3 (/ (pow eps 2) x))))
(* 4/3 (* eps x))
(* -1 (* x (+ (* -4/3 eps) (* -4/3 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -4/3 eps) (* -4/3 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -4/3 eps) (* -4/3 (/ (pow eps 2) x)))))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* eps x)
(* eps (+ eps x))
(* eps (+ eps x))
(* eps (+ eps x))
(pow eps 2)
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(pow eps 2)
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(pow eps 2)
(+ (* eps x) (pow eps 2))
(+ (* eps x) (pow eps 2))
(+ (* eps x) (pow eps 2))
(* eps x)
(* x (+ eps (/ (pow eps 2) x)))
(* x (+ eps (/ (pow eps 2) x)))
(* x (+ eps (/ (pow eps 2) x)))
(* eps x)
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(* eps x)
(* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))
(* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))
(* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))
(* 4/3 (* eps (pow x 3)))
(* (pow x 3) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (/ 1 x))))
(* (pow x 3) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (/ eps (pow x 2))))))
(* (pow x 3) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (/ eps (pow x 2))))))
(* 4/3 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))
(* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))) x)))))
(* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))) x)))))
(pow x 2)
(+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))
(+ (* eps (+ (* 4/3 (* eps (pow x 2))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(+ (* eps (+ (* 4/3 (* eps (pow x 2))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(* 4/3 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 4/3 (pow x 2)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps)))
(* (pow eps 2) (+ (* 4/3 (pow x 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2)))))
(* (pow eps 2) (+ (* 4/3 (pow x 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2)))))
(* 4/3 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) (* 4/3 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2))))
(sin eps)
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))

Outputs
(/ (sin eps) (* x (cos eps)))
(/.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (.f64 x x) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 2/3 binary64)))) x)
(/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* (pow x 2) (- (+ (* -1/6 (/ (sin eps) (cos eps))) (* 1/24 (/ (sin eps) (cos eps)))) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (.f64 x x) (+.f64 (+.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3/8 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1/3 binary64))) (/.f64 (.f64 (sin.f64 eps) #s(literal 1/120 binary64)) (cos.f64 eps)))))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/6 binary64))))) x)
(/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* (pow x 2) (- (+ (* -1/6 (/ (sin eps) (cos eps))) (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* -1/720 (/ (sin eps) (cos eps))) (* 1/120 (/ (sin eps) (cos eps)))) (+ (* -1/2 (- (* -1/6 (/ (sin eps) (cos eps))) (* -1/2 (/ (sin eps) (cos eps))))) (+ (* -1/6 (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps)))))) (+ (* -1/5040 (/ (sin eps) (cos eps))) (+ (* 1/120 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/24 (/ (sin eps) (cos eps))))))))))) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (.f64 x x) (+.f64 (+.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (-.f64 (+.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/144 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/3 binary64) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 eps)) (cos.f64 eps))) (.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1/3 binary64)) #s(literal 1/120 binary64)))) (.f64 #s(literal -1/6 binary64) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 eps)) (cos.f64 eps)) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1/3 binary64)))) (.f64 #s(literal -1/120 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))))))) (+.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) #s(literal -1/2 binary64)) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) #s(literal 1/120 binary64)) (cos.f64 eps))) (.f64 #s(literal -1/6 binary64) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1/3 binary64))))))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/6 binary64))))) x)
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))
(*.f64 eps (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))))
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(.f64 eps (+.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (.f64 eps eps) (.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) #s(literal 1/3 binary64)))))
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (+ (* -1/6 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* 1/120 (/ (cos x) (sin x))) (* 1/120 (/ (sin x) (cos x)))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (+ (* 1/24 (/ (cos x) (sin x))) (* 1/24 (/ (sin x) (cos x)))))))))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(.f64 eps (+.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (.f64 eps eps) (+.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))))))))
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (+ (* -1/6 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* 1/120 (/ (cos x) (sin x))) (+ (* 1/120 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* -1/5040 (/ (cos x) (sin x))) (* -1/5040 (/ (sin x) (cos x)))) (+ (* -1/2 (- (* 1/120 (/ (cos x) (sin x))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (* 1/24 (/ (cos x) (sin x)))))) (+ (* -1/2 (- (* 1/120 (/ (sin x) (cos x))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (* 1/24 (/ (sin x) (cos x)))))) (+ (* -1/720 (/ (cos x) (sin x))) (+ (* -1/720 (/ (sin x) (cos x))) (+ (* 1/24 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (* 1/24 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x)))))))))))))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (+ (* 1/24 (/ (cos x) (sin x))) (* 1/24 (/ (sin x) (cos x)))))))))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(.f64 eps (+.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (.f64 eps eps) (+.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (.f64 eps eps) (-.f64 (+.f64 (.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 x)) (sin.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal 1/3 binary64)))) (.f64 #s(literal -1/24 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 x)) (cos.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 1/3 binary64)))) (.f64 #s(literal -1/24 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (.f64 #s(literal -1/720 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))))))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))))))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
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(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
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(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(/ (* x (sin eps)) (cos eps))
(/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))
(* x (+ (* (pow x 2) (- (* -1/6 (/ (sin eps) (cos eps))) (* -1/2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))
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(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
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(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
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(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
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(/ (* eps (sin x)) (cos x))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(* eps (+ (* (pow eps 2) (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
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(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (sin x) (cos x))) (* (pow eps 2) (- (* 1/120 (/ (sin x) (cos x))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (* 1/24 (/ (sin x) (cos x))))))) (* -1/2 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
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(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* 1/120 (/ (sin x) (cos x))) (* (pow eps 2) (- (* -1/5040 (/ (sin x) (cos x))) (+ (* -1/2 (- (* 1/120 (/ (sin x) (cos x))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (* 1/24 (/ (sin x) (cos x)))))) (+ (* -1/720 (/ (sin x) (cos x))) (* 1/24 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x)))))))))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (* 1/24 (/ (sin x) (cos x))))))) (* -1/2 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
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(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))
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(/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))
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(/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))
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(/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))
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(/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))
x
(+ x (* eps (+ 1 (* 4/3 (pow x 2)))))
(+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64)))))
(+ x (* eps (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow x 2))))))
(+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 x (+.f64 eps x))))))
(+ x (* eps (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow x 2))))))
(+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 x (+.f64 eps x))))))
(* 4/3 (* (pow eps 2) x))
(.f64 (.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) x)
(* (pow eps 2) (+ (* 4/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (/ 1 eps))))
(.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 x (/.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) eps)))
(* (pow eps 2) (+ (* 4/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (/ 1 eps) (/ x (pow eps 2))))))
(.f64 (.f64 eps eps) (+.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 x (/.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (*.f64 eps eps))))
(* (pow eps 2) (+ (* 4/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (/ 1 eps) (/ x (pow eps 2))))))
(.f64 (.f64 eps eps) (+.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 x (/.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (*.f64 eps eps))))
(* 4/3 (* (pow eps 2) x))
(.f64 (.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) x)
(* (pow eps 2) (+ (* -1 (/ (- (* -4/3 (pow x 2)) 1) eps)) (* 4/3 x)))
(.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 4/3 binary64)) (/.f64 (+.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) #s(literal -1 binary64)) eps)))
(* (pow eps 2) (+ (* -1 (/ (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1) eps)) (* 4/3 x)))
(.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 4/3 binary64)) (/.f64 (+.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) (/.f64 x eps)) #s(literal -1 binary64)) eps)))
(* (pow eps 2) (+ (* -1 (/ (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1) eps)) (* 4/3 x)))
(.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 4/3 binary64)) (/.f64 (+.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -4/3 binary64)) (/.f64 x eps)) #s(literal -1 binary64)) eps)))
eps
(+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))
(+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))))
(+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))
(+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 eps x))))))
(+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))
(+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 eps x))))))
(* 4/3 (* eps (pow x 2)))
(.f64 #s(literal 4/3 binary64) (.f64 eps (*.f64 x x)))
(* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (/ 1 x))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 eps (/.f64 (.f64 eps eps) x))) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (/ eps (pow x 2))))))
(.f64 (.f64 x x) (+.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 eps (/.f64 (.f64 eps eps) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 eps (*.f64 x x))))
(* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (/ eps (pow x 2))))))
(.f64 (.f64 x x) (+.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 eps (/.f64 (.f64 eps eps) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 eps (*.f64 x x))))
(* 4/3 (* eps (pow x 2)))
(.f64 #s(literal 4/3 binary64) (.f64 eps (*.f64 x x)))
(* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (/ 1 x))))
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(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 eps)))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (+.f64 (.f64 (sin.f64 eps) #s(literal -1/2 binary64)) (.f64 (*.f64 #s(literal -1/6 binary64) x) (cos.f64 eps)))))))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin x)
(sin.f64 x)
(+ (sin x) (* eps (cos x)))
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))

eval137.0ms (0.8%)

Compiler: Compiled 36738 to 3272 computations (91.1% saved)

prune154.0ms (0.9%)

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	1073	17	1090
Fresh	12	14	26
Picked	2	3	5
Done	0	2	2
Total	1087	36	1123

Accuracy

100.0%

Counts

1123 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
✓	62.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
	62.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
	62.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (.f64 x x) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
▶	98.0%	(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	97.9%	(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 eps (.f64 x x)) #s(literal 2/3 binary64))) x) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	98.2%	(/.f64 (/.f64 (.f64 eps #s(literal 1 binary64)) (.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))
	98.4%	(/.f64 (.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))) (.f64 x (.f64 (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))))))))) eps) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (*.f64 eps #s(literal 4/3 binary64)))))))))
	98.4%	(/.f64 (.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 14/45 binary64) (.f64 (.f64 x x) #s(literal 124/945 binary64))))))) x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	98.4%	(/.f64 (.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 14/45 binary64))))) x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	97.7%	(/.f64 eps (cos.f64 eps))
	62.8%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	62.9%	(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	62.7%	(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
	61.8%	(-.f64 (tan.f64 (+.f64 x eps)) (.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)))))))))
	61.6%	(-.f64 (tan.f64 (+.f64 x eps)) (.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))))))))
✓	62.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	34.1%	(-.f64 (tan.f64 (.f64 (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (+.f64 (.f64 x x) (*.f64 eps (-.f64 eps x)))))) (tan.f64 x))
▶	7.7%	(-.f64 (tan.f64 eps) x)
▶	7.7%	(-.f64 #s(literal 0 binary64) x)
	98.5%	(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 4/3 binary64))))))))
	99.4%	(.f64 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) (sin.f64 x))
▶	99.4%	(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	5.5%	(.f64 (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 x (*.f64 x x)))
	98.4%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 4/3 binary64))))))))
	98.4%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
✓	98.4%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
	98.3%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x x)))
	97.5%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x eps)))
	98.3%	(.f64 eps (+.f64 (.f64 x x) #s(literal 1 binary64)))
	97.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
▶	98.3%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
	97.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 eps eps) #s(literal 2/15 binary64)))))))
	97.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 eps eps) #s(literal 17/315 binary64))))))))))
	97.7%	(tan.f64 eps)
✓	97.6%	eps

Compiler

Compiled 1468 to 838 computations (42.9% saved)

simplify202.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x)
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	cost-diff	128	(+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64)))
✓	cost-diff	6656	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	0	(tan.f64 eps)
✓	cost-diff	0	(-.f64 (tan.f64 eps) x)
✓	cost-diff	0	(.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps))))))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
✓	cost-diff	128	(+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps))))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
✓	cost-diff	128	(*.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	128	(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	cost-diff	6400	(+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x))))

Rules

2248×	`+-lowering-+.f64`
2248×	`+-lowering-+.f32`
1980×	`sum4-define`
1704×	`-lowering-.f32`
1704×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	316
1	118	290
2	372	279
3	1254	266
4	3166	266
0	8116	266

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (+ (* (tan x) (tan eps)) (* (tan eps) (/ 1 (tan x)))) (- 1 (* (tan x) (tan eps)))) (tan x))
(/ (+ (* (tan x) (tan eps)) (* (tan eps) (/ 1 (tan x)))) (- 1 (* (tan x) (tan eps))))
(+ (* (tan x) (tan eps)) (* (tan eps) (/ 1 (tan x))))
(* (tan x) (tan eps))
(tan x)
x
(tan eps)
eps
(* (tan eps) (/ 1 (tan x)))
(/ 1 (tan x))
1
(- 1 (* (tan x) (tan eps)))
(- 0 x)
0
x
(* eps (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))))
eps
(+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))))
1
(* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))
x
(+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))
(* x (+ 1 (* 4/3 (* eps (+ x eps)))))
(+ 1 (* 4/3 (* eps (+ x eps))))
(* 4/3 (* eps (+ x eps)))
4/3
(* eps (+ x eps))
(+ x eps)
(- (tan eps) x)
(tan eps)
eps
x
(/ (/ (+ eps (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))) x) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
(/ (+ eps (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))) x)
(+ eps (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3))))
eps
(* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))
(* x x)
x
(+ (* (* eps (* x x)) 14/45) (* eps 2/3))
(* (* eps (* x x)) 14/45)
(* eps (* x x))
14/45
(* eps 2/3)
2/3
(* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x)))
(- 1 (* (tan x) (tan eps)))
1
(* (tan x) (tan eps))
(tan x)
(tan eps)
(/ 1 (tan x))

Outputs
(* (/ (+ (* (tan x) (tan eps)) (* (tan eps) (/ 1 (tan x)))) (- 1 (* (tan x) (tan eps)))) (tan x))
(/.f64 (+.f64 (tan.f64 eps) (.f64 (tan.f64 x) (.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/ (+ (* (tan x) (tan eps)) (* (tan eps) (/ 1 (tan x)))) (- 1 (* (tan x) (tan eps))))
(/.f64 (.f64 (tan.f64 eps) (+.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))
(+ (* (tan x) (tan eps)) (* (tan eps) (/ 1 (tan x))))
(*.f64 (tan.f64 eps) (+.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(* (tan x) (tan eps))
(*.f64 (tan.f64 x) (tan.f64 eps))
(tan x)
(tan.f64 x)
x
(tan eps)
(tan.f64 eps)
eps
(* (tan eps) (/ 1 (tan x)))
(/.f64 (tan.f64 eps) (tan.f64 x))
(/ 1 (tan x))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
1
#s(literal 1 binary64)
(- 1 (* (tan x) (tan eps)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(* eps (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 x #s(literal 4/3 binary64)))))))
eps
(+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 x #s(literal 4/3 binary64))))))
1
#s(literal 1 binary64)
(* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))
(.f64 (.f64 x (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 x #s(literal 4/3 binary64)))))
x
(+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))
(.f64 (+.f64 x eps) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 x #s(literal 4/3 binary64)))))
(* x (+ 1 (* 4/3 (* eps (+ x eps)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 #s(literal 4/3 binary64) (+.f64 x eps)))))
(+ 1 (* 4/3 (* eps (+ x eps))))
(+.f64 #s(literal 1 binary64) (.f64 eps (.f64 #s(literal 4/3 binary64) (+.f64 x eps))))
(* 4/3 (* eps (+ x eps)))
(.f64 eps (.f64 #s(literal 4/3 binary64) (+.f64 x eps)))
4/3
#s(literal 4/3 binary64)
(* eps (+ x eps))
(*.f64 eps (+.f64 x eps))
(+ x eps)
(+.f64 x eps)
(- (tan eps) x)
(-.f64 (tan.f64 eps) x)
(tan eps)
(tan.f64 eps)
eps
x
(/ (/ (+ eps (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))) x) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
(/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 14/45 binary64))))))) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 eps))))
(/ (+ eps (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))) x)
(/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 14/45 binary64))))))) x)
(+ eps (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 14/45 binary64)))))))
eps
(* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))
(.f64 x (.f64 (.f64 x eps) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 14/45 binary64))))))
(* x x)
(*.f64 x x)
x
(+ (* (* eps (* x x)) 14/45) (* eps 2/3))
(.f64 eps (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 14/45 binary64)))))
(* (* eps (* x x)) 14/45)
(.f64 (.f64 x x) (*.f64 eps #s(literal 14/45 binary64)))
(* eps (* x x))
(.f64 eps (.f64 x x))
14/45
#s(literal 14/45 binary64)
(* eps 2/3)
(*.f64 eps #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
(* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x)))
(-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 eps))
(- 1 (* (tan x) (tan eps)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
1
#s(literal 1 binary64)
(* (tan x) (tan eps))
(*.f64 (tan.f64 x) (tan.f64 eps))
(tan x)
(tan.f64 x)
(tan eps)
(tan.f64 eps)
(/ 1 (tan x))
(/.f64 #s(literal 1 binary64) (tan.f64 x))

localize215.0ms (1.3%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
✓	accuracy	99.5%	(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	accuracy	99.5%	(*.f64 eps #s(literal 2/3 binary64))
✓	accuracy	100.0%	(tan.f64 eps)
✓	accuracy	100.0%	(-.f64 (tan.f64 eps) x)
✓	accuracy	100.0%	(+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps))))))
✓	accuracy	99.8%	(.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)))))))
✓	accuracy	99.8%	(*.f64 eps (+.f64 x eps))
✓	accuracy	99.7%	(.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
✓	accuracy	100.0%	(+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	accuracy	99.8%	(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	accuracy	99.5%	(*.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

142.0ms	253×	0	valid
11.0ms	1×	3	valid
2.0ms	1×	2	valid
1.0ms	1×	1	valid

Compiler

Compiled 356 to 38 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 23.0ms (32% of total)

ival-add: 15.0ms (20.9% of total)

...c/correct-round.rkt:119:19: 12.0ms (16.7% of total)

ival-tan: 10.0ms (13.9% of total)

ival-div: 7.0ms (9.7% of total)

ival-sub: 4.0ms (5.6% of total)

backward-pass: 1.0ms (1.4% of total)

const: 1.0ms (1.4% of total)

series49.0ms (0.3%)

Counts

20 → 444

Calls

Call 1

Inputs
#<alt (+ (* (tan x) (tan eps)) (* (tan eps) (/ 1 (tan x))))>
#<alt (* (/ (+ (* (tan x) (tan eps)) (* (tan eps) (/ 1 (tan x)))) (- 1 (* (tan x) (tan eps)))) (tan x))>
#<alt (* (tan eps) (/ 1 (tan x)))>
#<alt (/ (+ (* (tan x) (tan eps)) (* (tan eps) (/ 1 (tan x)))) (- 1 (* (tan x) (tan eps))))>
#<alt (- 0 x)>
#<alt (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))>
#<alt (* eps (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))))>
#<alt (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))))>
#<alt (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))>
#<alt (- (tan eps) x)>
#<alt (tan eps)>
#<alt (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x)))>
#<alt (+ (* (* eps (* x x)) 14/45) (* eps 2/3))>
#<alt (/ (/ (+ eps (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))) x) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))>
#<alt (/ (+ eps (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))) x)>
#<alt (* 4/3 (* eps (+ x eps)))>
#<alt (* eps (+ x eps))>
#<alt (* eps 2/3)>
#<alt (* (* eps (* x x)) 14/45)>
#<alt (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))>

Outputs
#<alt (/ (sin eps) (* x (cos eps)))>
#<alt (/ (+ (* (pow x 2) (- (/ (sin eps) (cos eps)) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* (pow x 2) (- (+ (* (pow x 2) (- (* 1/3 (/ (sin eps) (cos eps))) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (/ (sin eps) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* (pow x 2) (- (+ (* (pow x 2) (- (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 2/15 (/ (sin eps) (cos eps))) (+ (* -1/3 (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))) (+ (* -2/45 (/ (sin eps) (cos eps))) (* 17/315 (/ (sin eps) (cos eps)))))))) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (/ (sin eps) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 2/15 (/ (cos x) (sin x))) (* 2/15 (/ (sin x) (cos x)))))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 2/15 (/ (cos x) (sin x))) (+ (* 2/15 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (cos x) (sin x))) (* 17/315 (/ (sin x) (cos x))))))))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (* x (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (cos x))>
#<alt (* eps (+ (/ (* eps (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (pow (cos x) 2)) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (* eps (+ (* eps (- (* eps (- (/ (* (sin x) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (/ (* (sin x) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (cos x))) (* -1/3 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2)))))) (/ (* (sin x) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (cos x))) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (cos x)) (sin x))>
#<alt (* eps (+ (* 1/3 (/ (* (pow eps 2) (cos x)) (sin x))) (/ (cos x) (sin x))))>
#<alt (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (cos x)) (sin x))) (* 1/3 (/ (cos x) (sin x))))) (/ (cos x) (sin x))))>
#<alt (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (cos x)) (sin x))) (* 2/15 (/ (cos x) (sin x))))))) (/ (cos x) (sin x))))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (sin eps) (* x (cos eps)))>
#<alt (/ (+ (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/3 (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))) (+ (* -2/45 (/ (sin eps) (cos eps))) (* 17/315 (/ (sin eps) (cos eps))))))) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
#<alt (/ (sin eps) (* x (cos eps)))>
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) x)>
#<alt (/ (+ (* x (- (* x (- (/ (sin eps) (cos eps)) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 1/3 (/ (sin eps) (cos eps)))))) (cos eps))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (/ (sin eps) (cos eps))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (+ (/ (sin x) (cos x)) (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (cos x)))))>
#<alt (* eps (+ (* eps (- (* eps (- (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x)))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (* -1 (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x)))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x)))))) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (* -1 (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt x>
#<alt (+ x (* eps (+ 1 (* 4/3 (pow x 2)))))>
#<alt (+ x (* eps (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow x 2))))))>
#<alt (+ x (* eps (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow x 2))))))>
#<alt (* 4/3 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 4/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* 4/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (/ 1 eps) (/ x (pow eps 2))))))>
#<alt (* (pow eps 2) (+ (* 4/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (/ 1 eps) (/ x (pow eps 2))))))>
#<alt (* 4/3 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -4/3 (pow x 2)) 1) eps)) (* 4/3 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1) eps)) (* 4/3 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1) eps)) (* 4/3 x)))>
#<alt eps>
#<alt (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))>
#<alt (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))>
#<alt (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (/ eps (pow x 2))))))>
#<alt (* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (/ eps (pow x 2))))))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (/ 1 x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x))) x)) (* 4/3 eps)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x))) x)) (* 4/3 eps)))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* 4/3 (* eps (pow x 2))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* 4/3 (* eps (pow x 2))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))>
#<alt (* 4/3 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow eps 3) (+ (* 4/3 (pow x 2)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps)))>
#<alt (* (pow eps 3) (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2))))))>
#<alt (* (pow eps 3) (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2))))))>
#<alt (* 4/3 (* (pow eps 3) (pow x 2)))>
#<alt (* -1 (* (pow eps 3) (+ (* -4/3 (pow x 2)) (/ (* x (- (* -4/3 (pow x 2)) 1)) eps))))>
#<alt (* -1 (* (pow eps 3) (+ (* -4/3 (pow x 2)) (* -1 (/ (+ (* -1 (* x (- (* -4/3 (pow x 2)) 1))) (+ (/ 1 eps) (/ (pow x 2) eps))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -4/3 (pow x 2)) (* -1 (/ (+ (* -1 (* x (- (* -4/3 (pow x 2)) 1))) (+ (/ 1 eps) (/ (pow x 2) eps))) eps)))))>
#<alt eps>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))>
#<alt (+ eps (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))>
#<alt (* 4/3 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))>
#<alt (* (pow x 3) (+ (* 4/3 (pow eps 2)) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (pow eps 2) (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 4/3 (pow eps 2)) (+ (/ eps (pow x 3)) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (pow eps 2) (pow x 2))))))>
#<alt (* 4/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 (pow eps 2)) (* -1 (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 (pow eps 2)) (* -1 (/ (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (pow eps 2) x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ eps x)) (* -1 (pow eps 2))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))) x)))))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))>
#<alt (+ 1 (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))))>
#<alt (* 4/3 (* eps (pow x 3)))>
#<alt (* (pow x 3) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (/ 1 x))))>
#<alt (* (pow x 3) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (/ eps (pow x 2))))))>
#<alt (* (pow x 3) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ eps (pow x 2)))))))>
#<alt (* 4/3 (* eps (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (+ (* -1 (/ (- (* -1 eps) (/ 1 x)) x)) (* 4/3 (pow eps 2)))) x)))))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2)))>
#<alt (+ 1 (+ (* eps (+ (* 4/3 (* eps (pow x 2))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2)))>
#<alt (+ 1 (+ (* eps (+ (* 4/3 (* eps (pow x 2))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2)))>
#<alt (* 4/3 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 4/3 (pow x 2)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps)))>
#<alt (* (pow eps 2) (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2))))))>
#<alt (* (pow eps 2) (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2))))))>
#<alt (* 4/3 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) (* 4/3 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (pow x 2)) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (pow x 2)) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2))))>
#<alt (* eps x)>
#<alt (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))>
#<alt (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))>
#<alt (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))>
#<alt (* 4/3 (* eps (pow x 3)))>
#<alt (* (pow x 3) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (/ 1 x))))>
#<alt (* (pow x 3) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (/ eps (pow x 2))))))>
#<alt (* (pow x 3) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (/ eps (pow x 2))))))>
#<alt (* 4/3 (* eps (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))) x)))))>
#<alt (pow x 2)>
#<alt (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))>
#<alt (+ (* eps (+ (* 4/3 (* eps (pow x 2))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (+ (* eps (+ (* 4/3 (* eps (pow x 2))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (* 4/3 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 4/3 (pow x 2)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps)))>
#<alt (* (pow eps 2) (+ (* 4/3 (pow x 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 4/3 (pow x 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2)))))>
#<alt (* 4/3 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) (* 4/3 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2))))>
#<alt (* -1 x)>
#<alt (- eps x)>
#<alt (- (* eps (+ 1 (* 1/3 (pow eps 2)))) x)>
#<alt (- (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) x)>
#<alt (- (/ (sin eps) (cos eps)) x)>
#<alt (- (/ (sin eps) (cos eps)) x)>
#<alt (- (/ (sin eps) (cos eps)) x)>
#<alt (- (/ (sin eps) (cos eps)) x)>
#<alt (- (/ (sin eps) (cos eps)) x)>
#<alt (- (/ (sin eps) (cos eps)) x)>
#<alt (- (/ (sin eps) (cos eps)) x)>
#<alt (- (/ (sin eps) (cos eps)) x)>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (* -1 x) (/ (sin eps) (cos eps)))>
#<alt (+ (* -1 x) (/ (sin eps) (cos eps)))>
#<alt (+ (* -1 x) (/ (sin eps) (cos eps)))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin eps) (* x (cos eps))) 1))>
#<alt (* x (- (/ (sin eps) (* x (cos eps))) 1))>
#<alt (* x (- (/ (sin eps) (* x (cos eps))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin eps) (* x (cos eps)))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin eps) (* x (cos eps)))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin eps) (* x (cos eps)))))))>
#<alt eps>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))) x)>
#<alt (/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 x)))) x)>
#<alt (/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* -1/45 (pow x 2)) 1/3))))) x)>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (+ (* -1 eps) (/ (cos x) (sin x)))>
#<alt (+ (* eps (- (* -1/3 (pow eps 2)) 1)) (/ (cos x) (sin x)))>
#<alt (+ (* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1)) (/ (cos x) (sin x)))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (* eps (+ 2/3 (* 14/45 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 14/45 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 14/45 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 14/45 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 14/45 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 14/45 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 14/45 (pow x 2))))>
#<alt (* eps (+ 2/3 (* 14/45 (pow x 2))))>
#<alt (* -1 (* eps (- (* -14/45 (pow x 2)) 2/3)))>
#<alt (* -1 (* eps (- (* -14/45 (pow x 2)) 2/3)))>
#<alt (* -1 (* eps (- (* -14/45 (pow x 2)) 2/3)))>
#<alt (* -1 (* eps (- (* -14/45 (pow x 2)) 2/3)))>
#<alt (* 2/3 eps)>
#<alt (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps))>
#<alt (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps))>
#<alt (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))>
#<alt (/ (* eps (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (cos x)))>
#<alt (* eps (+ (/ (* eps (* (pow (sin x) 2) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (pow (cos x) 2))) (/ (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (cos x)))))>
#<alt (* eps (+ (* eps (- (/ (* eps (* (pow (sin x) 3) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (pow (cos x) 3))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (cos x)))))>
#<alt (* eps (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (sin x) 4) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (pow (cos x) 4)))) (* -1/3 (/ (* (pow (sin x) 2) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (pow (cos x) 2))))))) (* -1 (/ (* (pow (sin x) 3) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (pow (cos x) 3)))))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (cos x)))))>
#<alt (/ (* eps (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))>
#<alt (/ (* eps (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))>
#<alt (/ (* eps (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))>
#<alt (/ (* eps (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))>
#<alt (* -1 (/ (* eps (* (sin x) (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))>
#<alt (* -1 (/ (* eps (* (sin x) (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))>
#<alt (* -1 (/ (* eps (* (sin x) (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))>
#<alt (* -1 (/ (* eps (* (sin x) (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))>
#<alt eps>
#<alt (+ eps (/ (* eps (* x (sin eps))) (cos eps)))>
#<alt (+ eps (* x (- (* x (- (+ (* 1/3 eps) (* 2/3 eps)) (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 2))))) (* -1 (/ (* eps (sin eps)) (cos eps))))))>
#<alt (+ eps (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (+ (* 1/3 eps) (* 2/3 eps)) (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (* eps (sin eps)) (cos eps)))))) (+ (* 1/3 eps) (* 2/3 eps))) (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 2))))) (* -1 (/ (* eps (sin eps)) (cos eps))))))>
#<alt (* 14/45 (/ (* eps (* (pow x 3) (sin x))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))>
#<alt (* (pow x 3) (+ (* 14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* 2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))))>
#<alt (* (pow x 3) (+ (* 14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (+ (* 2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (* eps (sin x)) (* (pow x 4) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))))>
#<alt (* (pow x 3) (+ (* 14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (+ (* 2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (* eps (sin x)) (* (pow x 4) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))))>
#<alt (* 14/45 (/ (* eps (* (pow x 3) (sin x))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (* -14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (* eps (sin x)) (* (pow x 4) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (* -2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (* -14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (* eps (sin x)) (* (pow x 4) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (* -2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (* -14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))>
#<alt (/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)>
#<alt (/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)>
#<alt (/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)>
#<alt (/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)>
#<alt (/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)>
#<alt (/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)>
#<alt (/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)>
#<alt (/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)>
#<alt (* -1 (/ (* eps (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1)) x))>
#<alt (* -1 (/ (* eps (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1)) x))>
#<alt (* -1 (/ (* eps (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1)) x))>
#<alt (* -1 (/ (* eps (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1)) x))>
#<alt (/ eps x)>
#<alt (/ (+ eps (* 2/3 (* eps (pow x 2)))) x)>
#<alt (/ (+ eps (* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))) x)>
#<alt (/ (+ eps (* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))) x)>
#<alt (* 14/45 (* eps (pow x 3)))>
#<alt (* (pow x 3) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 14/45 eps) (+ (* 2/3 (/ eps (pow x 2))) (/ eps (pow x 4)))))>
#<alt (* (pow x 3) (+ (* 14/45 eps) (+ (* 2/3 (/ eps (pow x 2))) (/ eps (pow x 4)))))>
#<alt (* 14/45 (* eps (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -2/3 (/ eps (pow x 2))) (* -14/45 eps))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ eps (pow x 4))) (+ (* -2/3 (/ eps (pow x 2))) (* -14/45 eps)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ eps (pow x 4))) (+ (* -2/3 (/ eps (pow x 2))) (* -14/45 eps)))))>
#<alt (* 4/3 (* eps x))>
#<alt (* eps (+ (* 4/3 eps) (* 4/3 x)))>
#<alt (* eps (+ (* 4/3 eps) (* 4/3 x)))>
#<alt (* eps (+ (* 4/3 eps) (* 4/3 x)))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))>
#<alt (* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))>
#<alt (* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))>
#<alt (* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))>
#<alt (* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))>
#<alt (* 4/3 (pow eps 2))>
#<alt (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))>
#<alt (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))>
#<alt (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))>
#<alt (* 4/3 (* eps x))>
#<alt (* x (+ (* 4/3 eps) (* 4/3 (/ (pow eps 2) x))))>
#<alt (* x (+ (* 4/3 eps) (* 4/3 (/ (pow eps 2) x))))>
#<alt (* x (+ (* 4/3 eps) (* 4/3 (/ (pow eps 2) x))))>
#<alt (* 4/3 (* eps x))>
#<alt (* -1 (* x (+ (* -4/3 eps) (* -4/3 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -4/3 eps) (* -4/3 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -4/3 eps) (* -4/3 (/ (pow eps 2) x)))))>
#<alt (* eps x)>
#<alt (* eps (+ eps x))>
#<alt (* eps (+ eps x))>
#<alt (* eps (+ eps x))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (pow eps 2)>
#<alt (+ (* eps x) (pow eps 2))>
#<alt (+ (* eps x) (pow eps 2))>
#<alt (+ (* eps x) (pow eps 2))>
#<alt (* eps x)>
#<alt (* x (+ eps (/ (pow eps 2) x)))>
#<alt (* x (+ eps (/ (pow eps 2) x)))>
#<alt (* x (+ eps (/ (pow eps 2) x)))>
#<alt (* eps x)>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 2/3 eps)>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 14/45 (* eps (pow x 2)))>
#<alt (* 2/3 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))>
#<alt (* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))>
#<alt (* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))>
#<alt (* 14/45 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))>
#<alt (* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))>
#<alt (* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))>
#<alt (* 14/45 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))>
#<alt (* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))>
#<alt (* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))>
#<alt (* -1 (* eps (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3))))>
#<alt (* -1 (* eps (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3))))>
#<alt (* -1 (* eps (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3))))>
#<alt (* -1 (* eps (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3))))>

Calls

111 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	(/ (/ (+ eps (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))) x) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
2.0ms	eps	@	inf	(/ (/ (+ eps (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))) x) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
2.0ms	x	@	-inf	(/ (/ (+ eps (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))) x) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
2.0ms	eps	@	-inf	(/ (/ (+ eps (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))) x) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
1.0ms	eps	@	0	(/ (/ (+ eps (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))) x) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))

rewrite336.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

3956×	`-lowering-.f32`
3956×	`-lowering-.f64`
2556×	`/-lowering-/.f32`
2556×	`/-lowering-/.f64`
2028×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	221
1	259	199
2	2679	191
0	8408	191

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 685

Calls

Call 1

Inputs
(+ (* (tan x) (tan eps)) (* (tan eps) (/ 1 (tan x))))
(* (/ (+ (* (tan x) (tan eps)) (* (tan eps) (/ 1 (tan x)))) (- 1 (* (tan x) (tan eps)))) (tan x))
(* (tan eps) (/ 1 (tan x)))
(/ (+ (* (tan x) (tan eps)) (* (tan eps) (/ 1 (tan x)))) (- 1 (* (tan x) (tan eps))))
(- 0 x)
(+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))
(* eps (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))))
(+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps))))))))
(* x (+ eps (* x (+ 1 (* 4/3 (* eps (+ x eps)))))))
(- (tan eps) x)
(tan eps)
(* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x)))
(+ (* (* eps (* x x)) 14/45) (* eps 2/3))
(/ (/ (+ eps (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))) x) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
(/ (+ eps (* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))) x)
(* 4/3 (* eps (+ x eps)))
(* eps (+ x eps))
(* eps 2/3)
(* (* eps (* x x)) 14/45)
(* (* x x) (+ (* (* eps (* x x)) 14/45) (* eps 2/3)))

Outputs
(+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (tan.f64 eps) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 eps)))
(-.f64 (/.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) (.f64 (tan.f64 eps) (-.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))) (/.f64 (pow.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(fma.f64 (tan.f64 x) (tan.f64 eps) (/.f64 (tan.f64 eps) (tan.f64 x)))
(fma.f64 (tan.f64 eps) (tan.f64 x) (/.f64 (tan.f64 eps) (tan.f64 x)))
(fma.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64) (/.f64 (tan.f64 eps) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (tan.f64 eps) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 eps) (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (*.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 eps) (/.f64 (tan.f64 eps) (tan.f64 x)))
(fma.f64 (/.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x) (*.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) (.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (tan.f64 eps) (-.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (-.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) (.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 eps)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64))) (.f64 (tan.f64 eps) (-.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) (.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (neg.f64 (.f64 (tan.f64 eps) (-.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64))) (-.f64 (/.f64 (tan.f64 eps) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (tan.f64 x)) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (tan.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (tan.f64 x)))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (/.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 1 binary64))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (tan.f64 x) (cos.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (tan.f64 x) (cos.f64 eps))))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (tan.f64 eps)))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x))))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (tan.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) #s(literal 1 binary64)))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 eps) (tan.f64 x))))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) #s(literal -1 binary64)))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (tan.f64 x) (cos.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 #s(literal 1 binary64) (sin.f64 eps)))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (tan.f64 x) (cos.f64 eps))))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (cos.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (sin.f64 eps)))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (cos.f64 eps))))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (tan.f64 eps) #s(literal -1 binary64)))) (.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x))))
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(.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64))))) x))
(.f64 (+.f64 eps (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64))))) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 eps (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 eps (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64)))))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 eps (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 eps (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
(.f64 (pow.f64 (/.f64 x (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64)))) (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64)))) eps)))))
(.f64 (pow.f64 (/.f64 x (-.f64 (.f64 eps eps) (.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64)))) (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 eps (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64)))))))
(+.f64 (.f64 #s(literal 4/3 binary64) (.f64 x eps)) (.f64 #s(literal 4/3 binary64) (.f64 eps eps)))
(+.f64 (.f64 (.f64 eps #s(literal 4/3 binary64)) x) (.f64 (.f64 eps #s(literal 4/3 binary64)) eps))
(+.f64 (.f64 (.f64 eps #s(literal 4/3 binary64)) eps) (.f64 (.f64 eps #s(literal 4/3 binary64)) x))
(+.f64 (.f64 (.f64 x eps) #s(literal 4/3 binary64)) (.f64 (.f64 eps eps) #s(literal 4/3 binary64)))
(+.f64 (.f64 x (.f64 eps #s(literal 4/3 binary64))) (.f64 eps (.f64 eps #s(literal 4/3 binary64))))
(+.f64 (.f64 eps (.f64 eps #s(literal 4/3 binary64))) (.f64 x (.f64 eps #s(literal 4/3 binary64))))
(fma.f64 x (.f64 eps #s(literal 4/3 binary64)) (.f64 eps (*.f64 eps #s(literal 4/3 binary64))))
(fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) (.f64 x (*.f64 eps #s(literal 4/3 binary64))))
(fma.f64 #s(literal 4/3 binary64) (.f64 x eps) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps)))
(fma.f64 (.f64 x eps) #s(literal 4/3 binary64) (.f64 (*.f64 eps eps) #s(literal 4/3 binary64)))
(fma.f64 (.f64 eps #s(literal 4/3 binary64)) x (.f64 (*.f64 eps #s(literal 4/3 binary64)) eps))
(fma.f64 (.f64 eps #s(literal 4/3 binary64)) eps (.f64 (*.f64 eps #s(literal 4/3 binary64)) x))
(/.f64 (.f64 (.f64 eps #s(literal 4/3 binary64)) (+.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))))
(/.f64 (.f64 (.f64 eps #s(literal 4/3 binary64)) (-.f64 (.f64 x x) (.f64 eps eps))) (-.f64 x eps))
(.f64 eps (.f64 (+.f64 x eps) #s(literal 4/3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (*.f64 eps #s(literal 4/3 binary64))))
(.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)))
(.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))
(.f64 (.f64 eps (+.f64 x eps)) #s(literal 4/3 binary64))
(.f64 (.f64 (+.f64 x eps) (*.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps #s(literal 4/3 binary64)) (+.f64 x eps))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x eps))) #s(literal 4/3 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 eps #s(literal 4/3 binary64))) (+.f64 x eps))
(.f64 (.f64 #s(literal 4/3 binary64) (+.f64 x eps)) eps)
(+.f64 (.f64 eps eps) (.f64 x eps))
(+.f64 (.f64 x eps) (.f64 eps eps))
(fma.f64 x eps (*.f64 eps eps))
(fma.f64 eps x (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x eps))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) (+.f64 (.f64 (.f64 x x) (.f64 eps eps)) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 x eps) (*.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 (.f64 x eps) (.f64 eps eps)))
(/.f64 (.f64 eps (+.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (*.f64 eps (-.f64 eps x))))
(/.f64 (.f64 eps (-.f64 (.f64 x x) (*.f64 eps eps))) (-.f64 x eps))
(/.f64 (.f64 (+.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))) eps) (+.f64 (.f64 x x) (*.f64 eps (-.f64 eps x))))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 eps eps)) eps) (-.f64 x eps))
(*.f64 eps (+.f64 x eps))
(*.f64 (+.f64 x eps) eps)
(*.f64 eps #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) eps)
(.f64 eps (.f64 (*.f64 x x) #s(literal 14/45 binary64)))
(.f64 (.f64 x x) (*.f64 eps #s(literal 14/45 binary64)))
(.f64 (.f64 x (*.f64 x eps)) #s(literal 14/45 binary64))
(.f64 #s(literal 14/45 binary64) (.f64 x (*.f64 x eps)))
(.f64 (.f64 x eps) (*.f64 x #s(literal 14/45 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 14/45 binary64)) eps)
(.f64 (.f64 #s(literal 14/45 binary64) eps) (*.f64 x x))
(.f64 (.f64 #s(literal 14/45 binary64) (*.f64 x eps)) x)
(+.f64 (.f64 x (.f64 x (.f64 eps (.f64 (.f64 x x) #s(literal 14/45 binary64))))) (.f64 (.f64 x (.f64 x eps)) #s(literal 2/3 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x eps)) #s(literal 2/3 binary64)) (.f64 x (.f64 x (.f64 eps (.f64 (.f64 x x) #s(literal 14/45 binary64))))))
(fma.f64 x (.f64 x (.f64 eps (.f64 (.f64 x x) #s(literal 14/45 binary64)))) (.f64 (.f64 x (*.f64 x eps)) #s(literal 2/3 binary64)))
(fma.f64 x (.f64 x (.f64 eps #s(literal 2/3 binary64))) (.f64 x (.f64 x (.f64 eps (.f64 (*.f64 x x) #s(literal 14/45 binary64))))))
(fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) (.f64 x x)) (.f64 (.f64 x (*.f64 x eps)) #s(literal 2/3 binary64)))
(fma.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 eps (.f64 (*.f64 x x) #s(literal 14/45 binary64))))))
(fma.f64 (.f64 x x) (.f64 eps (.f64 (.f64 x x) #s(literal 14/45 binary64))) (.f64 (.f64 x (*.f64 x eps)) #s(literal 2/3 binary64)))
(fma.f64 (.f64 x x) (.f64 eps #s(literal 2/3 binary64)) (.f64 x (.f64 x (.f64 eps (.f64 (*.f64 x x) #s(literal 14/45 binary64))))))
(fma.f64 (.f64 x (.f64 x eps)) #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 eps (.f64 (*.f64 x x) #s(literal 14/45 binary64))))))
(fma.f64 (.f64 x (.f64 x eps)) (.f64 (.f64 x x) #s(literal 14/45 binary64)) (.f64 (.f64 x (*.f64 x eps)) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 14/45 binary64) (.f64 (.f64 x (.f64 x eps)) (.f64 x x)) (.f64 (.f64 x (*.f64 x eps)) #s(literal 2/3 binary64)))
(fma.f64 (.f64 eps (.f64 (.f64 x x) #s(literal 14/45 binary64))) (.f64 x x) (.f64 (.f64 x (*.f64 x eps)) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x eps)) (.f64 x (.f64 x (.f64 eps (.f64 (*.f64 x x) #s(literal 14/45 binary64))))))
(fma.f64 (.f64 eps #s(literal 2/3 binary64)) (.f64 x x) (.f64 x (.f64 x (.f64 eps (.f64 (*.f64 x x) #s(literal 14/45 binary64))))))
(fma.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) (.f64 x (.f64 x eps)) (.f64 (.f64 x (*.f64 x eps)) #s(literal 2/3 binary64)))
(fma.f64 (.f64 (.f64 eps (.f64 (.f64 x x) #s(literal 14/45 binary64))) x) x (.f64 (.f64 x (*.f64 x eps)) #s(literal 2/3 binary64)))
(fma.f64 (.f64 (.f64 eps #s(literal 2/3 binary64)) x) x (.f64 x (.f64 x (.f64 eps (.f64 (*.f64 x x) #s(literal 14/45 binary64))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x eps))) #s(literal 14/45 binary64) (.f64 (.f64 x (*.f64 x eps)) #s(literal 2/3 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) eps (.f64 x (.f64 x (.f64 eps (.f64 (*.f64 x x) #s(literal 14/45 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 2744/91125 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 8/27 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 eps (.f64 (.f64 x x) #s(literal 14/45 binary64))))) (.f64 x (.f64 x (.f64 eps (.f64 (.f64 x x) #s(literal 14/45 binary64)))))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x eps)) #s(literal 2/3 binary64)) (.f64 (.f64 x (.f64 x eps)) #s(literal 2/3 binary64))) (.f64 (.f64 x (.f64 x (.f64 eps (.f64 (.f64 x x) #s(literal 14/45 binary64))))) (.f64 (.f64 x (*.f64 x eps)) #s(literal 2/3 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 eps (.f64 (.f64 x x) #s(literal 14/45 binary64))))) (.f64 x (.f64 x (.f64 eps (.f64 (.f64 x x) #s(literal 14/45 binary64)))))) (.f64 (.f64 (.f64 x (.f64 x eps)) #s(literal 2/3 binary64)) (.f64 (.f64 x (.f64 x eps)) #s(literal 2/3 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 eps (.f64 (.f64 x x) #s(literal 14/45 binary64))))) (.f64 (.f64 x (.f64 x eps)) #s(literal 2/3 binary64))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 2744/91125 binary64))) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 8/27 binary64)))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x eps)) (.f64 x (.f64 x eps))) #s(literal 196/2025 binary64)) (.f64 (.f64 eps #s(literal 2/3 binary64)) (-.f64 (.f64 eps #s(literal 2/3 binary64)) (.f64 eps (.f64 (.f64 x x) #s(literal 14/45 binary64)))))))
(/.f64 (.f64 (.f64 x x) (.f64 (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64))) (.f64 eps (-.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64))))) (.f64 eps (-.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 2744/91125 binary64))) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 8/27 binary64))) (.f64 x x)) (+.f64 (.f64 (.f64 (.f64 x (.f64 x eps)) (.f64 x (.f64 x eps))) #s(literal 196/2025 binary64)) (.f64 (.f64 eps #s(literal 2/3 binary64)) (-.f64 (.f64 eps #s(literal 2/3 binary64)) (.f64 eps (.f64 (.f64 x x) #s(literal 14/45 binary64)))))))
(/.f64 (.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64))) (.f64 eps (-.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64)))) (.f64 x x)) (.f64 eps (-.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64))))
(.f64 x (.f64 x (.f64 eps (+.f64 (.f64 (*.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64)))))
(.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (*.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64))))
(.f64 (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64))) (*.f64 x x))
(.f64 (.f64 x (.f64 eps (+.f64 (.f64 (*.f64 x x) #s(literal 14/45 binary64)) #s(literal 2/3 binary64)))) x)

simplify379.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

6494×	`-lowering-.f32`
6494×	`-lowering-.f64`
4526×	`+-lowering-+.f64`
4526×	`+-lowering-+.f32`
1750×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	697	8251
1	2638	7380
0	8839	7380

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(/ (sin eps) (* x (cos eps)))
(/ (+ (* (pow x 2) (- (/ (sin eps) (cos eps)) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/ (+ (* (pow x 2) (- (+ (* (pow x 2) (- (* 1/3 (/ (sin eps) (cos eps))) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (/ (sin eps) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/ (+ (* (pow x 2) (- (+ (* (pow x 2) (- (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 2/15 (/ (sin eps) (cos eps))) (+ (* -1/3 (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))) (+ (* -2/45 (/ (sin eps) (cos eps))) (* 17/315 (/ (sin eps) (cos eps)))))))) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (/ (sin eps) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 2/15 (/ (cos x) (sin x))) (* 2/15 (/ (sin x) (cos x)))))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 2/15 (/ (cos x) (sin x))) (+ (* 2/15 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (cos x) (sin x))) (* 17/315 (/ (sin x) (cos x))))))))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* x (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (cos x))
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(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(/ (* eps (cos x)) (sin x))
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(* -1 x)
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(* -1 x)
(* -1 x)
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(* -1 x)
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x
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eps
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1
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eps
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(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ 1 x)
(/ (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))) x)
(/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 x)))) x)
(/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* -1/45 (pow x 2)) 1/3))))) x)
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (cos x) (sin x))
(+ (* -1 eps) (/ (cos x) (sin x)))
(+ (* eps (- (* -1/3 (pow eps 2)) 1)) (/ (cos x) (sin x)))
(+ (* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1)) (/ (cos x) (sin x)))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(* eps (+ 2/3 (* 14/45 (pow x 2))))
(* eps (+ 2/3 (* 14/45 (pow x 2))))
(* eps (+ 2/3 (* 14/45 (pow x 2))))
(* eps (+ 2/3 (* 14/45 (pow x 2))))
(* eps (+ 2/3 (* 14/45 (pow x 2))))
(* eps (+ 2/3 (* 14/45 (pow x 2))))
(* eps (+ 2/3 (* 14/45 (pow x 2))))
(* eps (+ 2/3 (* 14/45 (pow x 2))))
(* -1 (* eps (- (* -14/45 (pow x 2)) 2/3)))
(* -1 (* eps (- (* -14/45 (pow x 2)) 2/3)))
(* -1 (* eps (- (* -14/45 (pow x 2)) 2/3)))
(* -1 (* eps (- (* -14/45 (pow x 2)) 2/3)))
(* 2/3 eps)
(+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps))
(+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps))
(+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps))
(* 14/45 (* eps (pow x 2)))
(* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(* 14/45 (* eps (pow x 2)))
(* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(/ (* eps (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (cos x)))
(* eps (+ (/ (* eps (* (pow (sin x) 2) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (pow (cos x) 2))) (/ (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (cos x)))))
(* eps (+ (* eps (- (/ (* eps (* (pow (sin x) 3) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (pow (cos x) 3))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (cos x)))))
(* eps (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (sin x) 4) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (pow (cos x) 4)))) (* -1/3 (/ (* (pow (sin x) 2) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (pow (cos x) 2))))))) (* -1 (/ (* (pow (sin x) 3) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (pow (cos x) 3)))))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (cos x)))))
(/ (* eps (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (* eps (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (* eps (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (* eps (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(* -1 (/ (* eps (* (sin x) (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
(* -1 (/ (* eps (* (sin x) (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
(* -1 (/ (* eps (* (sin x) (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
(* -1 (/ (* eps (* (sin x) (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
eps
(+ eps (/ (* eps (* x (sin eps))) (cos eps)))
(+ eps (* x (- (* x (- (+ (* 1/3 eps) (* 2/3 eps)) (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 2))))) (* -1 (/ (* eps (sin eps)) (cos eps))))))
(+ eps (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (+ (* 1/3 eps) (* 2/3 eps)) (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (* eps (sin eps)) (cos eps)))))) (+ (* 1/3 eps) (* 2/3 eps))) (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 2))))) (* -1 (/ (* eps (sin eps)) (cos eps))))))
(* 14/45 (/ (* eps (* (pow x 3) (sin x))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(* (pow x 3) (+ (* 14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* 2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))))
(* (pow x 3) (+ (* 14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (+ (* 2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (* eps (sin x)) (* (pow x 4) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))))
(* (pow x 3) (+ (* 14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (+ (* 2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (* eps (sin x)) (* (pow x 4) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))))
(* 14/45 (/ (* eps (* (pow x 3) (sin x))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(* -1 (* (pow x 3) (+ (* -2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (* -14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* eps (sin x)) (* (pow x 4) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (* -2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (* -14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* eps (sin x)) (* (pow x 4) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (* -2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (* -14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))
(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(* -1 (/ (* eps (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1)) x))
(* -1 (/ (* eps (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1)) x))
(* -1 (/ (* eps (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1)) x))
(* -1 (/ (* eps (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1)) x))
(/ eps x)
(/ (+ eps (* 2/3 (* eps (pow x 2)))) x)
(/ (+ eps (* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))) x)
(/ (+ eps (* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))) x)
(* 14/45 (* eps (pow x 3)))
(* (pow x 3) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(* (pow x 3) (+ (* 14/45 eps) (+ (* 2/3 (/ eps (pow x 2))) (/ eps (pow x 4)))))
(* (pow x 3) (+ (* 14/45 eps) (+ (* 2/3 (/ eps (pow x 2))) (/ eps (pow x 4)))))
(* 14/45 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -2/3 (/ eps (pow x 2))) (* -14/45 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ eps (pow x 4))) (+ (* -2/3 (/ eps (pow x 2))) (* -14/45 eps)))))
(* -1 (* (pow x 3) (+ (* -1 (/ eps (pow x 4))) (+ (* -2/3 (/ eps (pow x 2))) (* -14/45 eps)))))
(* 4/3 (* eps x))
(* eps (+ (* 4/3 eps) (* 4/3 x)))
(* eps (+ (* 4/3 eps) (* 4/3 x)))
(* eps (+ (* 4/3 eps) (* 4/3 x)))
(* 4/3 (pow eps 2))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(* 4/3 (pow eps 2))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(* 4/3 (pow eps 2))
(+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))
(+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))
(+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))
(* 4/3 (* eps x))
(* x (+ (* 4/3 eps) (* 4/3 (/ (pow eps 2) x))))
(* x (+ (* 4/3 eps) (* 4/3 (/ (pow eps 2) x))))
(* x (+ (* 4/3 eps) (* 4/3 (/ (pow eps 2) x))))
(* 4/3 (* eps x))
(* -1 (* x (+ (* -4/3 eps) (* -4/3 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -4/3 eps) (* -4/3 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -4/3 eps) (* -4/3 (/ (pow eps 2) x)))))
(* eps x)
(* eps (+ eps x))
(* eps (+ eps x))
(* eps (+ eps x))
(pow eps 2)
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(pow eps 2)
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(pow eps 2)
(+ (* eps x) (pow eps 2))
(+ (* eps x) (pow eps 2))
(+ (* eps x) (pow eps 2))
(* eps x)
(* x (+ eps (/ (pow eps 2) x)))
(* x (+ eps (/ (pow eps 2) x)))
(* x (+ eps (/ (pow eps 2) x)))
(* eps x)
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 2/3 eps)
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 14/45 (* eps (pow x 2)))
(* 2/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))
(* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))
(* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))
(* 14/45 (* eps (pow x 4)))
(* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(* 14/45 (* eps (pow x 4)))
(* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(* -1 (* eps (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3))))
(* -1 (* eps (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3))))
(* -1 (* eps (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3))))
(* -1 (* eps (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3))))

Outputs
(/ (sin eps) (* x (cos eps)))
(/.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(/ (+ (* (pow x 2) (- (/ (sin eps) (cos eps)) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (.f64 x x) (*.f64 #s(literal 2/3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) x)
(/ (+ (* (pow x 2) (- (+ (* (pow x 2) (- (* 1/3 (/ (sin eps) (cos eps))) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (/ (sin eps) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 14/45 binary64))) (.f64 #s(literal 2/3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) x)
(/ (+ (* (pow x 2) (- (+ (* (pow x 2) (- (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 2/15 (/ (sin eps) (cos eps))) (+ (* -1/3 (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))) (+ (* -2/45 (/ (sin eps) (cos eps))) (* 17/315 (/ (sin eps) (cos eps)))))))) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (/ (sin eps) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (-.f64 (/.f64 (.f64 #s(literal 2/15 binary64) (sin.f64 eps)) (cos.f64 eps)) (+.f64 (.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/105 binary64))))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 14/45 binary64)))) (.f64 #s(literal 2/3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) x)
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))
(* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))
(*.f64 eps (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
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(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 2/15 (/ (cos x) (sin x))) (* 2/15 (/ (sin x) (cos x)))))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
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(/ (sin eps) (cos eps))
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(* 4/3 (* (pow eps 2) (pow x 2)))
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(* (pow eps 2) (+ (* 4/3 (pow x 2)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps)))
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(* -1 (* eps (- (* -14/45 (pow x 2)) 2/3)))
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(* -1 (* eps (- (* -14/45 (pow x 2)) 2/3)))
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(* 2/3 eps)
(*.f64 eps #s(literal 2/3 binary64))
(+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps))
(.f64 eps (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64))))
(+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps))
(.f64 eps (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64))))
(+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps))
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(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 14/45 binary64)) (.f64 (/.f64 eps (*.f64 x x)) #s(literal 2/3 binary64))))
(* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 14/45 binary64)) (.f64 (/.f64 eps (*.f64 x x)) #s(literal 2/3 binary64))))
(* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 14/45 binary64)) (.f64 (/.f64 eps (*.f64 x x)) #s(literal 2/3 binary64))))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 14/45 binary64)) (.f64 (/.f64 eps (*.f64 x x)) #s(literal 2/3 binary64))))
(* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
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(* (pow x 2) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 14/45 binary64)) (.f64 (/.f64 eps (*.f64 x x)) #s(literal 2/3 binary64))))
(/ (* eps (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (cos x)))
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(* eps (+ (/ (* eps (* (pow (sin x) 2) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (pow (cos x) 2))) (/ (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (cos x)))))
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(* eps (+ (* eps (- (/ (* eps (* (pow (sin x) 3) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (pow (cos x) 3))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (cos x)))))
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(* eps (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (sin x) 4) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (pow (cos x) 4)))) (* -1/3 (/ (* (pow (sin x) 2) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (pow (cos x) 2))))))) (* -1 (/ (* (pow (sin x) 3) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (pow (cos x) 3)))))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) (* x (cos x)))))
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(/ (* eps (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
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(/ (* eps (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
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(/ (* eps (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/.f64 (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 14/45 binary64))))))) x) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/ (* eps (* (sin x) (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2))))))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
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(* -1 (/ (* eps (* (sin x) (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
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(* -1 (/ (* eps (* (sin x) (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
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(* -1 (/ (* eps (* (sin x) (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1))) (* x (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
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eps
(+ eps (/ (* eps (* x (sin eps))) (cos eps)))
(+.f64 eps (/.f64 (.f64 (.f64 eps (sin.f64 eps)) x) (cos.f64 eps)))
(+ eps (* x (- (* x (- (+ (* 1/3 eps) (* 2/3 eps)) (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 2))))) (* -1 (/ (* eps (sin eps)) (cos eps))))))
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(+ eps (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (+ (* 1/3 eps) (* 2/3 eps)) (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (* eps (sin eps)) (cos eps)))))) (+ (* 1/3 eps) (* 2/3 eps))) (* -1 (/ (* eps (pow (sin eps) 2)) (pow (cos eps) 2))))) (* -1 (/ (* eps (sin eps)) (cos eps))))))
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(* 14/45 (/ (* eps (* (pow x 3) (sin x))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(.f64 #s(literal 14/45 binary64) (/.f64 (/.f64 (.f64 (.f64 eps (sin.f64 x)) (.f64 x (.f64 x x))) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(* (pow x 3) (+ (* 14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* 2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))))
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(* (pow x 3) (+ (* 14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (+ (* 2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (* eps (sin x)) (* (pow x 4) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))))
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(* (pow x 3) (+ (* 14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (+ (* 2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (* eps (sin x)) (* (pow x 4) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))))
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(* 14/45 (/ (* eps (* (pow x 3) (sin x))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(.f64 #s(literal 14/45 binary64) (/.f64 (/.f64 (.f64 (.f64 eps (sin.f64 x)) (.f64 x (.f64 x x))) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (* eps (sin x)) (* (pow x 4) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (* -2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (* -14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (* eps (sin x)) (* (pow x 4) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (* -2/3 (/ (* eps (sin x)) (* (pow x 2) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (* -14/45 (/ (* eps (sin x)) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))
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(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))) x)
(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))) x)
(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))) x)
(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))) x)
(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))) x)
(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))) x)
(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))) x)
(/ (* eps (+ 1 (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))) x)
(/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))) x)
(* -1 (/ (* eps (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 eps (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -14/45 binary64)) #s(literal -2/3 binary64))) #s(literal -1 binary64))) x))
(* -1 (/ (* eps (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 eps (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -14/45 binary64)) #s(literal -2/3 binary64))) #s(literal -1 binary64))) x))
(* -1 (/ (* eps (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 eps (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -14/45 binary64)) #s(literal -2/3 binary64))) #s(literal -1 binary64))) x))
(* -1 (/ (* eps (- (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3)) 1)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 eps (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -14/45 binary64)) #s(literal -2/3 binary64))) #s(literal -1 binary64))) x))
(/ eps x)
(/.f64 eps x)
(/ (+ eps (* 2/3 (* eps (pow x 2)))) x)
(/.f64 (+.f64 eps (.f64 (.f64 eps (*.f64 x x)) #s(literal 2/3 binary64))) x)
(/ (+ eps (* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))) x)
(/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))) x)
(/ (+ eps (* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))) x)
(/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))) x)
(* 14/45 (* eps (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 eps #s(literal 14/45 binary64)))
(* (pow x 3) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 eps #s(literal 14/45 binary64)) (.f64 (/.f64 eps (.f64 x x)) #s(literal 2/3 binary64))))
(* (pow x 3) (+ (* 14/45 eps) (+ (* 2/3 (/ eps (pow x 2))) (/ eps (pow x 4)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 eps #s(literal 14/45 binary64)) (+.f64 (.f64 (/.f64 eps (.f64 x x)) #s(literal 2/3 binary64)) (/.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 3) (+ (* 14/45 eps) (+ (* 2/3 (/ eps (pow x 2))) (/ eps (pow x 4)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 eps #s(literal 14/45 binary64)) (+.f64 (.f64 (/.f64 eps (.f64 x x)) #s(literal 2/3 binary64)) (/.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(* 14/45 (* eps (pow x 3)))
(.f64 (.f64 x (.f64 x x)) (.f64 eps #s(literal 14/45 binary64)))
(* -1 (* (pow x 3) (+ (* -2/3 (/ eps (pow x 2))) (* -14/45 eps))))
(.f64 (+.f64 (.f64 (/.f64 eps (.f64 x x)) #s(literal -2/3 binary64)) (.f64 eps #s(literal -14/45 binary64))) (.f64 (.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(* -1 (* (pow x 3) (+ (* -1 (/ eps (pow x 4))) (+ (* -2/3 (/ eps (pow x 2))) (* -14/45 eps)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (.f64 (/.f64 eps (.f64 x x)) #s(literal -2/3 binary64)) (.f64 eps #s(literal -14/45 binary64))) (/.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* (pow x 3) (+ (* -1 (/ eps (pow x 4))) (+ (* -2/3 (/ eps (pow x 2))) (* -14/45 eps)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (.f64 (/.f64 eps (.f64 x x)) #s(literal -2/3 binary64)) (.f64 eps #s(literal -14/45 binary64))) (/.f64 eps (pow.f64 x #s(literal 4 binary64))))))
(* 4/3 (* eps x))
(.f64 eps (.f64 x #s(literal 4/3 binary64)))
(* eps (+ (* 4/3 eps) (* 4/3 x)))
(.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 eps x)))
(* eps (+ (* 4/3 eps) (* 4/3 x)))
(.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 eps x)))
(* eps (+ (* 4/3 eps) (* 4/3 x)))
(.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 eps x)))
(* 4/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 4/3 binary64)))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 x #s(literal 4/3 binary64)) eps)))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 x #s(literal 4/3 binary64)) eps)))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 x #s(literal 4/3 binary64)) eps)))
(* 4/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 4/3 binary64)))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 x #s(literal 4/3 binary64)) eps)))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 x #s(literal 4/3 binary64)) eps)))
(* (pow eps 2) (+ 4/3 (* 4/3 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 x #s(literal 4/3 binary64)) eps)))
(* 4/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 4/3 binary64)))
(+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))
(.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 eps x)))
(+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))
(.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 eps x)))
(+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))
(.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 eps x)))
(* 4/3 (* eps x))
(.f64 eps (.f64 x #s(literal 4/3 binary64)))
(* x (+ (* 4/3 eps) (* 4/3 (/ (pow eps 2) x))))
(.f64 (.f64 x #s(literal 4/3 binary64)) (+.f64 eps (/.f64 (*.f64 eps eps) x)))
(* x (+ (* 4/3 eps) (* 4/3 (/ (pow eps 2) x))))
(.f64 (.f64 x #s(literal 4/3 binary64)) (+.f64 eps (/.f64 (*.f64 eps eps) x)))
(* x (+ (* 4/3 eps) (* 4/3 (/ (pow eps 2) x))))
(.f64 (.f64 x #s(literal 4/3 binary64)) (+.f64 eps (/.f64 (*.f64 eps eps) x)))
(* 4/3 (* eps x))
(.f64 eps (.f64 x #s(literal 4/3 binary64)))
(* -1 (* x (+ (* -4/3 eps) (* -4/3 (/ (pow eps 2) x)))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal -4/3 binary64) (+.f64 eps (/.f64 (*.f64 eps eps) x)))))
(* -1 (* x (+ (* -4/3 eps) (* -4/3 (/ (pow eps 2) x)))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal -4/3 binary64) (+.f64 eps (/.f64 (*.f64 eps eps) x)))))
(* -1 (* x (+ (* -4/3 eps) (* -4/3 (/ (pow eps 2) x)))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal -4/3 binary64) (+.f64 eps (/.f64 (*.f64 eps eps) x)))))
(* eps x)
(*.f64 eps x)
(* eps (+ eps x))
(*.f64 eps (+.f64 eps x))
(* eps (+ eps x))
(*.f64 eps (+.f64 eps x))
(* eps (+ eps x))
(*.f64 eps (+.f64 eps x))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (/ x eps)))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (/ x eps)))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(pow eps 2)
(*.f64 eps eps)
(+ (* eps x) (pow eps 2))
(*.f64 eps (+.f64 eps x))
(+ (* eps x) (pow eps 2))
(*.f64 eps (+.f64 eps x))
(+ (* eps x) (pow eps 2))
(*.f64 eps (+.f64 eps x))
(* eps x)
(*.f64 eps x)
(* x (+ eps (/ (pow eps 2) x)))
(.f64 x (+.f64 eps (/.f64 (.f64 eps eps) x)))
(* x (+ eps (/ (pow eps 2) x)))
(.f64 x (+.f64 eps (/.f64 (.f64 eps eps) x)))
(* x (+ eps (/ (pow eps 2) x)))
(.f64 x (+.f64 eps (/.f64 (.f64 eps eps) x)))
(* eps x)
(*.f64 eps x)
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (+.f64 eps (/.f64 (*.f64 eps eps) x)))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (+.f64 eps (/.f64 (*.f64 eps eps) x)))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (+.f64 eps (/.f64 (*.f64 eps eps) x)))
(* 2/3 eps)
(*.f64 eps #s(literal 2/3 binary64))
(* 2/3 eps)
(*.f64 eps #s(literal 2/3 binary64))
(* 2/3 eps)
(*.f64 eps #s(literal 2/3 binary64))
(* 2/3 eps)
(*.f64 eps #s(literal 2/3 binary64))
(* 2/3 eps)
(*.f64 eps #s(literal 2/3 binary64))
(* 2/3 eps)
(*.f64 eps #s(literal 2/3 binary64))
(* 2/3 eps)
(*.f64 eps #s(literal 2/3 binary64))
(* 2/3 eps)
(*.f64 eps #s(literal 2/3 binary64))
(* 2/3 eps)
(*.f64 eps #s(literal 2/3 binary64))
(* 2/3 eps)
(*.f64 eps #s(literal 2/3 binary64))
(* 2/3 eps)
(*.f64 eps #s(literal 2/3 binary64))
(* 2/3 eps)
(*.f64 eps #s(literal 2/3 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 14/45 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 14/45 binary64))
(* 2/3 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal 2/3 binary64))
(* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))
(.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))
(* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))
(.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))
(* (pow x 2) (+ (* 14/45 (* eps (pow x 2))) (* 2/3 eps)))
(.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))
(* 14/45 (* eps (pow x 4)))
(.f64 #s(literal 14/45 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(.f64 (+.f64 (.f64 eps #s(literal 14/45 binary64)) (.f64 (/.f64 eps (.f64 x x)) #s(literal 2/3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(.f64 (+.f64 (.f64 eps #s(literal 14/45 binary64)) (.f64 (/.f64 eps (.f64 x x)) #s(literal 2/3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(.f64 (+.f64 (.f64 eps #s(literal 14/45 binary64)) (.f64 (/.f64 eps (.f64 x x)) #s(literal 2/3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* 14/45 (* eps (pow x 4)))
(.f64 #s(literal 14/45 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(.f64 (+.f64 (.f64 eps #s(literal 14/45 binary64)) (.f64 (/.f64 eps (.f64 x x)) #s(literal 2/3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(.f64 (+.f64 (.f64 eps #s(literal 14/45 binary64)) (.f64 (/.f64 eps (.f64 x x)) #s(literal 2/3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* 14/45 eps) (* 2/3 (/ eps (pow x 2)))))
(.f64 (+.f64 (.f64 eps #s(literal 14/45 binary64)) (.f64 (/.f64 eps (.f64 x x)) #s(literal 2/3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))
(* eps (* (pow x 2) (+ 2/3 (* 14/45 (pow x 2)))))
(.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 14/45 binary64)))))
(* -1 (* eps (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -14/45 binary64)) #s(literal -2/3 binary64))))
(* -1 (* eps (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -14/45 binary64)) #s(literal -2/3 binary64))))
(* -1 (* eps (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -14/45 binary64)) #s(literal -2/3 binary64))))
(* -1 (* eps (* (pow x 2) (- (* -14/45 (pow x 2)) 2/3))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -14/45 binary64)) #s(literal -2/3 binary64))))

eval170.0ms (1%)

Compiler: Compiled 39104 to 3875 computations (90.1% saved)

prune163.0ms (1%)

Pruning

40 alts after pruning (33 fresh and 7 done)

	Pruned	Kept	Total
New	1198	15	1213
Fresh	8	18	26
Picked	3	2	5
Done	0	5	5
Total	1209	40	1249

Accuracy

100.0%

Counts

1249 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
✓	62.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
	62.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
	62.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (.f64 x x) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
	97.9%	(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) x))
	97.8%	(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (/.f64 (cos.f64 x) (sin.f64 x)))
	98.0%	(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) eps))
	98.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64))))))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64))))))))) eps) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))))))))
	98.4%	(/.f64 (.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 14/45 binary64) (.f64 (.f64 x x) #s(literal 124/945 binary64))))))) x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	99.3%	(/.f64 (tan.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (tan.f64 eps) (+.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
	97.7%	(/.f64 eps (cos.f64 eps))
	62.8%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	62.7%	(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
	7.7%	(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (*.f64 eps eps)))))))) x)
	7.7%	(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/15 binary64) (*.f64 eps eps)))))) x)
	7.7%	(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) x)
	61.8%	(-.f64 (tan.f64 (+.f64 x eps)) (.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)))))))))
	61.6%	(-.f64 (tan.f64 (+.f64 x eps)) (.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))))))))
✓	62.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	34.1%	(-.f64 (tan.f64 (.f64 (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (+.f64 (.f64 x x) (*.f64 eps (-.f64 eps x)))))) (tan.f64 x))
✓	7.7%	(-.f64 (tan.f64 eps) x)
	7.7%	(-.f64 eps x)
	98.3%	(+.f64 eps (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal 4/3 binary64)))))))))
	97.5%	(+.f64 eps (.f64 x (.f64 eps eps)))
	99.5%	(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	98.4%	(.f64 eps (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 14/45 binary64)))))) (*.f64 x (cos.f64 x))))
	98.4%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 4/3 binary64))))))))
	98.4%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
✓	98.4%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
	98.3%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x x)))
	97.5%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x eps)))
	98.3%	(.f64 eps (+.f64 (.f64 x x) #s(literal 1 binary64)))
	97.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
	98.3%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
✓	98.3%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
	97.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 eps eps) #s(literal 2/15 binary64)))))))
	97.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 eps eps) #s(literal 17/315 binary64))))))))))
	97.7%	(tan.f64 eps)
	7.7%	(neg.f64 x)
✓	97.6%	eps

Compiler

Compiled 2462 to 834 computations (66.1% saved)

regimes70.0ms (0.4%)

Counts

74 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 eps x)
(.f64 eps (+.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 eps (.f64 x (.f64 eps eps)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
(.f64 (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 x (*.f64 x x)))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) x)
(.f64 eps (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (.f64 x eps))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x eps)))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 eps eps) #s(literal 2/15 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
(+.f64 eps (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal 4/3 binary64)))))))))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/15 binary64) (*.f64 eps eps)))))) x)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 eps eps) #s(literal 17/315 binary64))))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 4/3 binary64))))))))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (*.f64 eps eps)))))))) x)
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 4/3 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64))))))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64))))))))) eps) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))))))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))) (.f64 x (.f64 (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))))))))) eps) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (*.f64 eps #s(literal 4/3 binary64)))))))))
(tan.f64 eps)
(-.f64 (tan.f64 eps) x)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (.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))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (.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)))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(.f64 eps (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 14/45 binary64)))))) (*.f64 x (cos.f64 x))))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (tan.f64 (.f64 (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (+.f64 (.f64 x x) (*.f64 eps (-.f64 eps x)))))) (tan.f64 x))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) eps))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) x))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 eps (.f64 x x)) #s(literal 2/3 binary64))) x) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 14/45 binary64))))) x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 14/45 binary64) (.f64 (.f64 x x) #s(literal 124/945 binary64))))))) x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(*.f64 eps (+.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 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (.f64 x x) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (/.f64 (.f64 eps #s(literal 1 binary64)) (.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))
(/.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))) (cos.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(/.f64 (tan.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (tan.f64 eps) (+.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) eps))
(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) (sin.f64 x))
(/.f64 (+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (.f64 x x) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (.f64 x x) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 14/45 binary64)))))) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(.f64 eps (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.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 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(.f64 eps (+.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 eps (+.f64 (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 4/3 binary64)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.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 (+.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 x (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))))
(fma.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))
(.f64 eps (+.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 eps (+.f64 (.f64 eps (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))

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

Calls

3 calls:

22.0ms	x
22.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
18.0ms	eps

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`eps`
99.5%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes55.0ms (0.3%)

Counts

57 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 eps x)
(.f64 eps (+.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 eps (.f64 x (.f64 eps eps)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
(.f64 (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 x (*.f64 x x)))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) x)
(.f64 eps (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (.f64 x eps))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x eps)))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 eps eps) #s(literal 2/15 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
(+.f64 eps (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal 4/3 binary64)))))))))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/15 binary64) (*.f64 eps eps)))))) x)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 eps eps) #s(literal 17/315 binary64))))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 4/3 binary64))))))))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (*.f64 eps eps)))))))) x)
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 4/3 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64))))))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64))))))))) eps) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))))))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))) (.f64 x (.f64 (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))))))))) eps) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (*.f64 eps #s(literal 4/3 binary64)))))))))
(tan.f64 eps)
(-.f64 (tan.f64 eps) x)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (.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))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (.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)))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(.f64 eps (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 14/45 binary64)))))) (*.f64 x (cos.f64 x))))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (tan.f64 (.f64 (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (+.f64 (.f64 x x) (*.f64 eps (-.f64 eps x)))))) (tan.f64 x))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) eps))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) x))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 eps (.f64 x x)) #s(literal 2/3 binary64))) x) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 14/45 binary64))))) x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 14/45 binary64) (.f64 (.f64 x x) #s(literal 124/945 binary64))))))) x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(*.f64 eps (+.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 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (.f64 x x) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (/.f64 (.f64 eps #s(literal 1 binary64)) (.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))
(/.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))) (cos.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(/.f64 (tan.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (tan.f64 eps) (+.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

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

Calls

3 calls:

17.0ms	eps
16.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
15.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`eps`
99.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes51.0ms (0.3%)

Counts

56 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 eps x)
(.f64 eps (+.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 eps (.f64 x (.f64 eps eps)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
(.f64 (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 x (*.f64 x x)))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) x)
(.f64 eps (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (.f64 x eps))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x eps)))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 eps eps) #s(literal 2/15 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
(+.f64 eps (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal 4/3 binary64)))))))))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/15 binary64) (*.f64 eps eps)))))) x)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 eps eps) #s(literal 17/315 binary64))))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 4/3 binary64))))))))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (*.f64 eps eps)))))))) x)
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 4/3 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64))))))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64))))))))) eps) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))))))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))) (.f64 x (.f64 (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))))))))) eps) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (*.f64 eps #s(literal 4/3 binary64)))))))))
(tan.f64 eps)
(-.f64 (tan.f64 eps) x)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (.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))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (.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)))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(.f64 eps (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 14/45 binary64)))))) (*.f64 x (cos.f64 x))))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (tan.f64 (.f64 (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (+.f64 (.f64 x x) (*.f64 eps (-.f64 eps x)))))) (tan.f64 x))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) eps))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) x))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 eps (.f64 x x)) #s(literal 2/3 binary64))) x) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 14/45 binary64))))) x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 14/45 binary64) (.f64 (.f64 x x) #s(literal 124/945 binary64))))))) x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(*.f64 eps (+.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 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (.f64 x x) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (/.f64 (.f64 eps #s(literal 1 binary64)) (.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))
(/.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))) (cos.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(/.f64 (tan.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (tan.f64 eps) (+.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))

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

Calls

3 calls:

16.0ms	eps
15.0ms	x
14.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`eps`
99.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes53.0ms (0.3%)

Counts

55 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 eps x)
(.f64 eps (+.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 eps (.f64 x (.f64 eps eps)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
(.f64 (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 x (*.f64 x x)))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) x)
(.f64 eps (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (.f64 x eps))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x eps)))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 eps eps) #s(literal 2/15 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
(+.f64 eps (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal 4/3 binary64)))))))))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/15 binary64) (*.f64 eps eps)))))) x)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 eps eps) #s(literal 17/315 binary64))))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 4/3 binary64))))))))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (*.f64 eps eps)))))))) x)
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 4/3 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64))))))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64))))))))) eps) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))))))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))) (.f64 x (.f64 (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (.f64 eps #s(literal 4/3 binary64)))))))))) eps) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (*.f64 eps #s(literal 4/3 binary64)))))))))
(tan.f64 eps)
(-.f64 (tan.f64 eps) x)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (.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))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (.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)))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(.f64 eps (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 14/45 binary64)))))) (*.f64 x (cos.f64 x))))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (tan.f64 (.f64 (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (+.f64 (.f64 x x) (*.f64 eps (-.f64 eps x)))))) (tan.f64 x))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) eps))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) x))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 eps (.f64 x x)) #s(literal 2/3 binary64))) x) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 14/45 binary64))))) x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (/.f64 (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal 14/45 binary64)) (.f64 eps #s(literal 2/3 binary64))))) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 14/45 binary64) (.f64 (.f64 x x) #s(literal 124/945 binary64))))))) x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(*.f64 eps (+.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 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (.f64 x x) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))) (sin.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (/.f64 (.f64 eps #s(literal 1 binary64)) (.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))
(/.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))) (cos.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))

Outputs

(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) (*.f64 x (*.f64 eps (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))))))))

Calls

3 calls:

20.0ms	x
14.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms	eps

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`eps`
98.5%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.1%)

Counts

24 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 eps x)
(.f64 eps (+.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 eps (.f64 x (.f64 eps eps)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
(.f64 (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 x (*.f64 x x)))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) x)
(.f64 eps (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (.f64 x eps))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x eps)))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 eps eps) #s(literal 2/15 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
(+.f64 eps (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal 4/3 binary64)))))))))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/15 binary64) (*.f64 eps eps)))))) x)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 eps eps) #s(literal 17/315 binary64))))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 4/3 binary64))))))))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (*.f64 eps eps)))))))) x)
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))

Outputs

(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))

Calls

2 calls:

11.0ms	x
7.0ms	eps

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 eps x)
(.f64 eps (+.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 eps (.f64 x (.f64 eps eps)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
(.f64 (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 x (*.f64 x x)))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) x)
(.f64 eps (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (.f64 x eps))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x eps)))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 eps eps) #s(literal 2/15 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
(+.f64 eps (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal 4/3 binary64)))))))))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/15 binary64) (*.f64 eps eps)))))) x)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 eps eps) #s(literal 17/315 binary64))))))))))

Outputs
(+.f64 eps (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal 4/3 binary64)))))))))

Calls

2 calls:

6.0ms	x
6.0ms	eps

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 eps x)
(.f64 eps (+.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 eps (.f64 x (.f64 eps eps)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
(.f64 (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 x (*.f64 x x)))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) x)
(.f64 eps (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (.f64 x eps))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x eps)))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 eps eps) #s(literal 2/15 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))

Outputs
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))

Calls

2 calls:

5.0ms	eps
5.0ms	x

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 eps x)
(.f64 eps (+.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 eps (.f64 x (.f64 eps eps)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
(.f64 (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 x (*.f64 x x)))
(-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))) x)
(.f64 eps (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (.f64 x eps))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x eps)))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 eps eps) #s(literal 2/15 binary64)))))))

Outputs
(.f64 eps (+.f64 (.f64 x x) #s(literal 1 binary64)))

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -57.5b remaining (-3733.7%)

Threshold costs -57.5b (-3733.7%)

Counts

4 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 eps x)

Outputs
eps

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative_binary64`
44×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	159
1	113	159
2	124	159
3	130	159
4	134	159
5	135	159

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (tan.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (tan.f64 eps) (+.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 4/3 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
(+.f64 eps (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal 4/3 binary64)))))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
(.f64 eps (+.f64 (.f64 x x) #s(literal 1 binary64)))
eps

Outputs
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(.f64 (tan.f64 x) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(.f64 (tan.f64 x) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (tan.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (tan.f64 eps) (+.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 4/3 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 4/3 binary64))))))))
(+.f64 eps (.f64 x (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal 4/3 binary64)))))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 x x))))))))
(.f64 eps (+.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x x)))
eps

soundness2.5s (14.9%)

Rules

6494×	`-lowering-.f32`
6494×	`-lowering-.f64`
5898×	`-lowering-.f32`
5898×	`-lowering-.f64`
5280×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	48	16
2	430	16
3	6621	16
0	8991	16
0	697	8251
1	2638	7380
0	8839	7380
0	891	8743
1	3266	7965
0	8179	7965
0	37	221
1	259	199
2	2679	191
0	8408	191
0	157	1381
1	504	1186
2	1907	1117
3	7753	1117
0	8620	1117
0	698	8529
1	2356	7387
0	8421	7387
0	45	215
1	324	196
2	3796	184
0	8771	184

Stop Event

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

Compiler

Compiled 466 to 249 computations (46.6% saved)

preprocess73.0ms (0.4%)

Compiler: Compiled 364 to 138 computations (62.1% saved)

Iter	Nodes	Cost
0	6	18
1	11	18
2	16	18
3	23	18
4	33	18
5	65	18
6	124	18
7	212	18
8	297	18
9	403	18
10	481	18
11	487	18
0	487	18

Iter	Nodes	Cost
0	6	18
1	11	18
2	16	18
3	23	18
4	33	18
5	65	18
6	124	18
7	212	18
8	297	18
9	403	18
10	481	18
11	487	18
0	487	18

analyze76.0ms (0.4%)

sample7.5s (44.3%)

preprocess52.0ms (0.3%)

explain115.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify25.0ms (0.2%)

localize52.0ms (0.3%)

series13.0ms (0.1%)

rewrite372.0ms (2.2%)

simplify319.0ms (1.9%)

eval38.0ms (0.2%)

prune64.0ms (0.4%)

simplify225.0ms (1.3%)

localize913.0ms (5.4%)

series78.0ms (0.5%)

rewrite335.0ms (2%)

simplify340.0ms (2%)

eval135.0ms (0.8%)

prune112.0ms (0.7%)

simplify206.0ms (1.2%)

localize390.0ms (2.3%)

series68.0ms (0.4%)

rewrite373.0ms (2.2%)

simplify383.0ms (2.3%)

eval137.0ms (0.8%)

prune154.0ms (0.9%)

simplify202.0ms (1.2%)

localize215.0ms (1.3%)

series49.0ms (0.3%)

rewrite336.0ms (2%)

simplify379.0ms (2.2%)

eval170.0ms (1%)

prune163.0ms (1%)

regimes70.0ms (0.4%)

regimes55.0ms (0.3%)

regimes51.0ms (0.3%)

regimes53.0ms (0.3%)

regimes20.0ms (0.1%)

regimes12.0ms (0.1%)

regimes17.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

simplify15.0ms (0.1%)

soundness2.5s (14.9%)

preprocess73.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
1	11	18
2	16	18
3	23	18
4	33	18
5	65	18
6	124	18
7	212	18
8	297	18
9	403	18
10	481	18
11	487	18
0	487	18