Metrics for 2tan (problem 3.3.2)

analyze64.0ms (0.4%)

Memory

4.3MiB live, 83.4MiB allocated

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%	49.4%	0%	25.3%	0%	3
0%	0%	25.3%	49.4%	0%	25.3%	0%	4
0%	0%	19%	49.4%	0%	31.6%	0%	5
0%	0%	15.8%	49.4%	0%	34.8%	0%	6
0%	0%	11.1%	49.4%	0%	39.5%	0%	7
0%	0%	8.7%	49.4%	0%	41.9%	0%	8
0%	0%	5.9%	49.4%	0%	44.6%	0%	9
0%	0%	4.5%	49.4%	0%	46%	0%	10
0%	0%	3.1%	49.4%	0%	47.5%	0%	11
0%	0%	2.7%	49.4%	0%	47.9%	0%	12

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample7.6s (43.3%)

Memory

-179.8MiB live, 8 800.4MiB allocated

Samples

4.9s	25 979×	0	invalid
745.0ms	5 470×	0	valid
411.0ms	2 786×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 4.1s

const: 989.0ms (24% of total)

ival-tan: 821.0ms (20% of total)

ival-mult: 524.0ms (12.7% of total)

ival-add: 486.0ms (11.8% of total)

ival-fabs: 340.0ms (8.3% of total)

ival-<=: 275.0ms (6.7% of total)

ival-<: 251.0ms (6.1% of total)

ival-sub: 224.0ms (5.4% of total)

ival-and: 104.0ms (2.5% of total)

exact: 48.0ms (1.2% of total)

adjust: 39.0ms (0.9% of total)

ival-assert: 15.0ms (0.4% of total)

Bogosity

preprocess28.0ms (0.2%)

Memory

3.3MiB live, 40.2MiB allocated

Algorithm

2×	egg-herbie

Rules

114×	`sub-neg`
80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
76×	`cancel-sign-sub-inv`
62×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	43	42
2	92	42
3	181	42
4	321	42
5	398	42
6	483	42
7	525	42
8	534	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	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))
(- (tan (+ (neg x) eps)) (tan (neg x)))
(+ (tan x) (tan (- eps x)))
(- (tan (+ x (neg eps))) (tan x))
(- (tan (- x eps)) (tan x))
(neg (- (tan (+ (neg x) eps)) (tan (neg x))))
(- (tan (- x eps)) (tan x))
(neg (- (tan (+ x (neg eps))) (tan x)))
(+ (tan x) (tan (- eps x)))
(- (tan (+ eps x)) (tan eps))
(- (tan (+ x eps)) (tan eps))

explain92.0ms (0.5%)

Memory

-7.9MiB live, 155.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
224	2	(2.6350061737742762e-148 1.828268937053433e-150)	3	(-4.272956259198589e-216 8.963890421763868e-218)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(tan.f64 (+.f64 x eps))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`	cancellation	223	9

Confusion

	Predicted +	Predicted -
+	221	3
-	2	30

Precision

0.9910313901345291

Recall

0.9866071428571429

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	221	3	0
-	2	6	24

Precision?

0.9655172413793104

Recall?

1.0

Freqs

test

number	freq
0	33
1	223

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

23.0ms	178×	1	valid
16.0ms	332×	0	valid
1.0ms	2×	3	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-tan: 15.0ms (61.7% of total)

ival-add: 3.0ms (12.3% of total)

ival-sub: 3.0ms (12.3% of total)

adjust: 2.0ms (8.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify10.0ms (0.1%)

Memory

-27.3MiB live, 11.2MiB allocated

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

80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`
36×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	9	18
2	14	18
3	20	18
4	28	18
5	43	18
6	76	18
7	101	18
8	144	18
9	159	18
10	167	18
0	167	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)

localize26.0ms (0.1%)

Memory

-4.0MiB live, 37.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(tan.f64 (+.f64 x eps))
✓	accuracy	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

8.0ms	89×	1	valid
8.0ms	166×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-tan: 4.0ms (44.9% of total)

ival-add: 2.0ms (22.4% of total)

adjust: 1.0ms (11.2% of total)

ival-sub: 1.0ms (11.2% of total)

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

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

series11.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

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
2.0ms	eps	@	0	(- (tan (+ x eps)) (tan x))
2.0ms	eps	@	inf	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	0	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	inf	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	-inf	(- (tan (+ x eps)) (tan x))

rewrite334.0ms (1.9%)

Memory

8.7MiB live, 392.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 404×	`-lowering-.f32`
4 404×	`-lowering-.f64`
3 318×	`/-lowering-/.f32`
3 318×	`/-lowering-/.f64`
3 264×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	46	16
2	398	16
3	6123	16
0	8101	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 259

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

simplify443.0ms (2.5%)

Memory

42.1MiB live, 705.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 592×	`accelerator-lowering-fma.f32`
14 592×	`accelerator-lowering-fma.f64`
5 316×	`-lowering-.f32`
5 316×	`-lowering-.f64`
2 664×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	1351
1	464	1285
2	1534	1274
3	5949	1242
0	8534	1195

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

eval65.0ms (0.4%)

Memory: -47.7MiB live, 96.1MiB allocated
Compiler: Compiled 8 901 to 989 computations (88.9% saved)

prune56.0ms (0.3%)

Memory

-9.1MiB live, 110.9MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	322	21	343
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	322	22	344

Accuracy

100.0%

Counts

344 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.3%	(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)))
	61.3%	(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
	99.6%	(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
▶	99.9%	(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.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 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
	99.8%	(fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
	99.3%	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
	61.3%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64)) (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	61.3%	(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	61.3%	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
▶	61.3%	(/.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (sin.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64)))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	61.3%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
▶	98.4%	(/.f64 (sin.f64 eps) (cos.f64 eps))
	61.3%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))) (tan.f64 x))
	61.3%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	60.6%	(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
	60.7%	(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
	60.4%	(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	60.0%	(-.f64 (tan.f64 (+.f64 x eps)) x)
	21.2%	(-.f64 (tan.f64 (.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))) (tan.f64 x))
	7.8%	(-.f64 (tan.f64 eps) (tan.f64 x))
	61.3%	(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))

Compiler

Compiled 1 205 to 540 computations (55.2% saved)

simplify514.0ms (2.9%)

Memory

33.2MiB live, 617.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (tan.f64 x) (tan.f64 eps))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	448	(-.f64 (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (sin.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
✓	cost-diff	19776	(/.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (sin.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64)))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
✓	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	384	(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	192	(+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
✓	cost-diff	26816	(fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
✓	cost-diff	39808	(fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.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 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (/.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)))
✓	cost-diff	79744	(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.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 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))))

Rules

17 064×	`accelerator-lowering-fma.f32`
17 064×	`accelerator-lowering-fma.f64`
6 814×	`+-lowering-+.f64`
6 814×	`+-lowering-+.f32`
4 152×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	1098
1	174	915
2	564	780
3	2198	742
0	8288	715

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* eps (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)
eps
(+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))
(+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))
1/3
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(sin x)
x
(/ (pow (sin x) 3) (pow (cos x) 2))
(pow (sin x) 3)
3
(pow (cos x) 2)
(cos x)
2
(* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x)))
(- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))))
(/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2))
(+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2)))
(pow (sin x) 2)
(/ (pow (sin x) 4) (pow (cos x) 2))
(pow (sin x) 4)
4
(+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))
1/6
(+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)
-1/2
(/ (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)
(/ (- (* (cos x) (+ (tan x) (tan eps))) (* (sin x) (+ (* (tan eps) (- 0 (tan x))) 1))) (* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1)))
(- (* (cos x) (+ (tan x) (tan eps))) (* (sin x) (+ (* (tan eps) (- 0 (tan x))) 1)))
(* (cos x) (+ (tan x) (tan eps)))
(cos x)
x
(+ (tan x) (tan eps))
(tan x)
(tan eps)
eps
(* (sin x) (+ (* (tan eps) (- 0 (tan x))) 1))
(sin x)
(+ (* (tan eps) (- 0 (tan x))) 1)
(- 0 (tan x))
0
1
(* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1))

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

localize288.0ms (1.6%)

Memory

9.7MiB live, 434.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (sin.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64)))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(+.f64 (tan.f64 x) (tan.f64 eps))
✓	accuracy	100.0%	(*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))
✓	accuracy	61.3%	(-.f64 (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (sin.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(cos.f64 (+.f64 x eps))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
✓	accuracy	100.0%	(sin.f64 (+.f64 x eps))
✓	accuracy	61.3%	(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	100.0%	(tan.f64 (+.f64 x eps))
✓	accuracy	61.9%	(-.f64 (tan.f64 (+.f64 x eps)) x)
✓	accuracy	100.0%	(pow.f64 (sin.f64 x) #s(literal 3 binary64))
✓	accuracy	99.8%	(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.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 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓	accuracy	99.4%	(*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))
✓	accuracy	98.5%	(+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))

Samples

84.0ms	90×	1	valid
78.0ms	164×	0	valid
8.0ms	1×	3	valid
2.0ms	1×	2	valid

Compiler

Compiled 1 060 to 65 computations (93.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-mult: 25.0ms (18.5% of total)

ival-add: 22.0ms (16.3% of total)

ival-div: 19.0ms (14.1% of total)

ival-tan: 11.0ms (8.2% of total)

ival-sin: 11.0ms (8.2% of total)

ival-pow: 10.0ms (7.4% of total)

const: 9.0ms (6.7% of total)

adjust: 8.0ms (5.9% of total)

ival-pow2: 6.0ms (4.4% of total)

ival-sub: 6.0ms (4.4% of total)

ival-cos: 6.0ms (4.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series90.0ms (0.5%)

Memory

8.5MiB live, 133.0MiB allocated

Counts

22 → 432

Calls

Call 1

Inputs
#<alt (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))>
#<alt (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))>
#<alt (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))>
#<alt (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))>
#<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 (/ (- (* (cos x) (+ (tan x) (tan eps))) (* (sin x) (+ (* (tan eps) (- 0 (tan x))) 1))) (* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1)))>
#<alt (- (* (cos x) (+ (tan x) (tan eps))) (* (sin x) (+ (* (tan eps) (- 0 (tan x))) 1)))>
#<alt (cos x)>
#<alt (+ (tan x) (tan eps))>
#<alt (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow (sin x) 3)>
#<alt (sin (+ x eps))>
#<alt (* (cos x) (+ (tan x) (tan eps)))>

Outputs
#<alt (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))>
#<alt (* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))>
#<alt (* -1 (* eps (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 2/3 (* eps x)))>
#<alt (+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))>
#<alt (+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* 17/9 (* eps x)))))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))>
#<alt (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* (pow eps 2) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))>
#<alt (* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 2) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))>
#<alt (* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps)) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps)) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))))>
#<alt (* 1/3 eps)>
#<alt (+ (* 1/3 eps) (* x (+ 1 (* 2/3 (pow eps 2)))))>
#<alt (+ (* 1/3 eps) (* x (+ 1 (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x))))))>
#<alt (+ (* 1/3 eps) (* x (+ 1 (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))>
#<alt (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
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#<alt -1/2>
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#<alt -1/3>
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#<alt (sin eps)>
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#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin 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)))>
#<alt (/ 1 (cos (+ eps x)))>
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#<alt (* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))>
#<alt (* (pow eps 3) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))>
#<alt (* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<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)))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ x (/ (sin eps) (cos eps)))>
#<alt (+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps)))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>
#<alt (sin x)>
#<alt (+ (sin x) (* eps (cos x)))>
#<alt (+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))>
#<alt (+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>
#<alt (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))>

Calls

108 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))
11.0ms	x	@	inf	(/ (- (* (cos x) (+ (tan x) (tan eps))) (* (sin x) (+ (* (tan eps) (- 0 (tan x))) 1))) (* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1)))
6.0ms	x	@	-inf	(+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))
5.0ms	eps	@	0	(+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))
3.0ms	x	@	0	(* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x)))

rewrite468.0ms (2.7%)

Memory

-8.1MiB live, 614.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 104×	`accelerator-lowering-fma.f32`
5 104×	`accelerator-lowering-fma.f64`
5 024×	`-lowering-.f32`
5 024×	`-lowering-.f64`
2 354×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	623
1	453	427
2	5045	427
0	8240	397

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 554

Calls

Call 1

Inputs
(+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))
(+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))
(+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))
(- (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))
(/ (- (* (cos x) (+ (tan x) (tan eps))) (* (sin x) (+ (* (tan eps) (- 0 (tan x))) 1))) (* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1)))
(- (* (cos x) (+ (tan x) (tan eps))) (* (sin x) (+ (* (tan eps) (- 0 (tan x))) 1)))
(cos x)
(+ (tan x) (tan eps))
(* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x)))
(+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow (sin x) 3)
(sin (+ x eps))
(* (cos x) (+ (tan x) (tan eps)))

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

simplify554.0ms (3.2%)

Memory

54.3MiB live, 750.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 074×	`accelerator-lowering-fma.f32`
10 074×	`accelerator-lowering-fma.f64`
6 460×	`-lowering-.f32`
6 460×	`-lowering-.f64`
4 998×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	739	12130
1	2355	11822
2	7876	11750
0	8077	11284

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
(- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -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 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -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 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -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 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(* -1 (* eps (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))
(* -1 (* eps (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))
(* -1 (* eps (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))
1/3
(+ 1/3 (* 2/3 (* eps x)))
(+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))
(+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* 17/9 (* eps x)))))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -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 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -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 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -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 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -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 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -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 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -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 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -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 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (pow eps 2) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps)) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) eps)) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))))
(* 1/3 eps)
(+ (* 1/3 eps) (* x (+ 1 (* 2/3 (pow eps 2)))))
(+ (* 1/3 eps) (* x (+ 1 (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x))))))
(+ (* 1/3 eps) (* x (+ 1 (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))
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1
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(* (pow eps 3) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
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(* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 3)
(* (pow x 3) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(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)))
(/ (sin eps) (cos eps))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps)))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))
(+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))

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

eval334.0ms (1.9%)

Memory: -32.4MiB live, 618.8MiB allocated
Compiler: Compiled 134 508 to 4 925 computations (96.3% saved)

prune209.0ms (1.2%)

Memory

29.5MiB live, 303.9MiB allocated

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1 474	17	1 491
Fresh	7	9	16
Picked	4	1	5
Done	0	1	1
Total	1 485	28	1 513

Accuracy

100.0%

Counts

1 513 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.3%	(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)))
	21.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
▶	35.3%	(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 (+.f64 eps x)))
	61.3%	(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
▶	98.9%	(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
	99.7%	(fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/3 binary64) (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
	98.9%	(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
	98.4%	(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps)
	99.3%	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
	98.4%	(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
	61.3%	(/.f64 (fma.f64 (tan.f64 x) (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (tan.f64 eps)) (.f64 (sin.f64 x) (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	61.3%	(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	61.3%	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	61.1%	(/.f64 (-.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (.f64 (sin.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64)))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
▶	99.9%	(/.f64 (.f64 eps (+.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	99.7%	(/.f64 (.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	61.3%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	98.4%	(/.f64 eps (cos.f64 eps))
	61.3%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))) (tan.f64 x))
▶	61.3%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	60.6%	(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
	60.7%	(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	21.2%	(-.f64 (tan.f64 (.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))) (tan.f64 x))
	98.4%	(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
	98.4%	(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
	98.4%	(.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))
▶	98.4%	eps

Compiler

Compiled 1 168 to 659 computations (43.6% saved)

simplify450.0ms (2.6%)

Memory

-10.9MiB live, 318.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	cost-diff	13952	(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 (+.f64 eps x)))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(sin.f64 (+.f64 x eps))
✓	cost-diff	0	(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
✓	cost-diff	0	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	cost-diff	0	(fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓	cost-diff	0	(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
✓	cost-diff	640	(fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 eps (+.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) (*.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
✓	cost-diff	6592	(/.f64 (.f64 eps (+.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
✓	cost-diff	7424	(+.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
✓	cost-diff	19136	(fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))

Rules

9 618×	`accelerator-lowering-fma.f32`
9 618×	`accelerator-lowering-fma.f64`
4 040×	`-lowering-.f32`
4 040×	`-lowering-.f64`
1 966×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	392
1	149	390
2	423	351
3	1473	336
4	3637	336
5	5202	336
6	5983	336
7	7567	336
0	8045	316

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* eps (+ (cos x) (+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1)))
(* eps (+ (cos x) (+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))
eps
(+ (cos x) (+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(cos x)
x
(+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(* eps eps)
(* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))
1/3
(+ (cos x) (/ (pow (sin x) 2) (cos x)))
(/ (pow (sin x) 2) (cos x))
(pow (sin x) 2)
(sin x)
2
(* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1))
(+ (* (tan eps) (- 0 (tan x))) 1)
(tan eps)
(- 0 (tan x))
0
(tan x)
1
eps
(+ (* eps (+ (* x (+ (* x (+ (* eps (* eps 4/3)) 1)) (* eps (+ (* eps (* eps 2/3)) 1)))) (* 1/3 (* eps eps)))) eps)
eps
(+ (* x (+ (* x (+ (* eps (* eps 4/3)) 1)) (* eps (+ (* eps (* eps 2/3)) 1)))) (* 1/3 (* eps eps)))
x
(+ (* x (+ (* eps (* eps 4/3)) 1)) (* eps (+ (* eps (* eps 2/3)) 1)))
(+ (* eps (* eps 4/3)) 1)
(* eps 4/3)
4/3
1
(* eps (+ (* eps (* eps 2/3)) 1))
(+ (* eps (* eps 2/3)) 1)
(* eps 2/3)
2/3
(* 1/3 (* eps eps))
1/3
(* eps eps)
(- (/ (sin (+ x eps)) (cos (+ x eps))) (tan x))
(/ (sin (+ x eps)) (cos (+ x eps)))
(sin (+ x eps))
(+ x eps)
x
eps
(cos (+ x eps))
(tan x)
(+ (* (- 0 (pow (tan x) 2)) (/ 1 (tan x))) (tan (+ eps x)))
(- 0 (pow (tan x) 2))
0
(pow (tan x) 2)
(tan x)
x
2
(/ 1 (tan x))
1
(tan (+ eps x))
(+ eps x)
eps

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

localize338.0ms (1.9%)

Memory

7.8MiB live, 205.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	accuracy	100.0%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(tan.f64 (+.f64 eps x))
✓	accuracy	35.4%	(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 (+.f64 eps x)))
✓	accuracy	100.0%	(cos.f64 (+.f64 x eps))
✓	accuracy	100.0%	(sin.f64 (+.f64 x eps))
✓	accuracy	100.0%	(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
✓	accuracy	61.3%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	accuracy	99.8%	(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
✓	accuracy	99.4%	(*.f64 eps #s(literal 4/3 binary64))
✓	accuracy	99.4%	(*.f64 eps #s(literal 2/3 binary64))
✓	accuracy	100.0%	(+.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
✓	accuracy	100.0%	(.f64 eps (+.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) (*.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
✓	accuracy	99.9%	(fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))

Samples

85.0ms	161×	0	valid
77.0ms	93×	1	valid
2.0ms	1×	3	valid
1.0ms	1×	2	valid

Compiler

Compiled 377 to 54 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-add: 30.0ms (24.3% of total)

ival-mult: 27.0ms (21.8% of total)

ival-cos: 19.0ms (15.4% of total)

const: 10.0ms (8.1% of total)

ival-div: 8.0ms (6.5% of total)

adjust: 7.0ms (5.7% of total)

ival-tan: 6.0ms (4.9% of total)

ival-pow2: 6.0ms (4.9% of total)

ival-sub: 5.0ms (4% of total)

ival-sin: 5.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series99.0ms (0.6%)

Memory

7.3MiB live, 43.4MiB allocated

Counts

23 → 444

Calls

Call 1

Inputs
#<alt (+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))>
#<alt (+ (cos x) (+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (/ (* eps (+ (cos x) (+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1)))>
#<alt (* eps (+ (cos x) (+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))>
#<alt (+ (* x (+ (* eps (* eps 4/3)) 1)) (* eps (+ (* eps (* eps 2/3)) 1)))>
#<alt (+ (* eps (+ (* x (+ (* x (+ (* eps (* eps 4/3)) 1)) (* eps (+ (* eps (* eps 2/3)) 1)))) (* 1/3 (* eps eps)))) eps)>
#<alt (+ (* x (+ (* x (+ (* eps (* eps 4/3)) 1)) (* eps (+ (* eps (* eps 2/3)) 1)))) (* 1/3 (* eps eps)))>
#<alt (+ (* eps (* eps 4/3)) 1)>
#<alt (- (/ (sin (+ x eps)) (cos (+ x eps))) (tan x))>
#<alt (/ (sin (+ x eps)) (cos (+ x eps)))>
#<alt (sin (+ x eps))>
#<alt (+ x eps)>
#<alt (+ (* (- 0 (pow (tan x) 2)) (/ 1 (tan x))) (tan (+ eps x)))>
#<alt (- 0 (pow (tan x) 2))>
#<alt (pow (tan x) 2)>
#<alt (tan x)>
#<alt (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))>
#<alt (* eps 2/3)>
#<alt (* eps 4/3)>
#<alt (* 1/3 (* eps eps))>
#<alt (cos (+ x eps))>
#<alt (tan (+ eps x))>
#<alt (/ 1 (tan x))>

Outputs
#<alt (/ (pow (sin x) 2) (cos x))>
#<alt (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))>
#<alt (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))>
#<alt (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))>
#<alt (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))>
#<alt (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (* 1/6 (pow eps 2)))))>
#<alt (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 1/6 (* 5/72 (pow eps 2))))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 1/6 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 31/360 (* 61/2160 (pow eps 2)))))))))))>
#<alt (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))>
#<alt (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))>
#<alt (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))>
#<alt (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))>
#<alt (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))>
#<alt (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))>
#<alt (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))>
#<alt (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))>
#<alt (+ 1 (* 1/3 (pow eps 2)))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (/ (pow (sin x) 2) (cos x)))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))>
#<alt (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))>
#<alt (/ (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (cos x))>
#<alt (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (- (* eps (- (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (cos x))) (* -1 (/ (* (pow (sin x) 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (cos x))) (* -1 (/ (* (pow (sin x) 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 3))))) (cos x))) (* -1/3 (/ (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 2)))))) (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (cos x)))) (* -1 (/ (* (pow (sin x) 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* 1/3 (/ (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))>
#<alt (* (pow eps 3) (+ (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (/ 1 (* (pow eps 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (pow (sin x) 2) (* (pow eps 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))>
#<alt (* (pow eps 3) (+ (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (/ 1 (* (pow eps 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (pow (sin x) 2) (* (pow eps 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))>
#<alt (* (pow eps 3) (+ (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (/ 1 (* (pow eps 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (pow (sin x) 2) (* (pow eps 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))>
#<alt (* 1/3 (/ (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (/ 1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (pow eps 2))) (* -1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (/ 1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (pow eps 2))) (* -1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (/ 1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (pow eps 2))) (* -1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (* eps (* x (* (sin eps) (+ 1 (* 1/3 (pow eps 2)))))) (cos eps)))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (- (* x (- (* eps (+ 1/2 (* 1/6 (pow eps 2)))) (+ (* -1 (/ (* eps (* (pow (sin eps) 2) (+ 1 (* 1/3 (pow eps 2))))) (pow (cos eps) 2))) (* -1/2 (* eps (+ 1 (* 1/3 (pow eps 2)))))))) (* -1 (/ (* eps (* (sin eps) (+ 1 (* 1/3 (pow eps 2))))) (cos eps))))))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (* eps (+ 1/2 (* 1/6 (pow eps 2)))) (+ (* -1 (/ (* eps (* (pow (sin eps) 2) (+ 1 (* 1/3 (pow eps 2))))) (pow (cos eps) 2))) (* -1/2 (* eps (+ 1 (* 1/3 (pow eps 2)))))))) (cos eps))) (+ (* -1/2 (/ (* eps (* (sin eps) (+ 1 (* 1/3 (pow eps 2))))) (cos eps))) (* eps (* (+ 1 (* 1/3 (pow eps 2))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps)))))))))) (* eps (+ 1/2 (* 1/6 (pow eps 2))))) (+ (* -1 (/ (* eps (* (pow (sin eps) 2) (+ 1 (* 1/3 (pow eps 2))))) (pow (cos eps) 2))) (* -1/2 (* eps (+ 1 (* 1/3 (pow eps 2)))))))) (* -1 (/ (* eps (* (sin eps) (+ 1 (* 1/3 (pow eps 2))))) (cos eps))))))>
#<alt (/ (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))>
#<alt (/ (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))>
#<alt (/ (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))>
#<alt (/ (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))>
#<alt (/ (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))>
#<alt (/ (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))>
#<alt (/ (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))>
#<alt (/ (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))>
#<alt (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x))))>
#<alt (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* 1/3 (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* (pow eps 3) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))>
#<alt (* (pow eps 3) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))>
#<alt (* (pow eps 3) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))>
#<alt (* 1/3 (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (pow eps 2))) (* -1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (pow eps 2))) (* -1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (pow eps 2))) (* -1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))))))>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (+ (* eps (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))) (* eps (+ 1 (* 1/3 (pow eps 2)))))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2))))) (* eps (+ 1/2 (* 1/6 (pow eps 2)))))))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (+ 1/2 (* 1/6 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))) (* eps (+ 5/24 (* 5/72 (pow eps 2)))))))))>
#<alt (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* eps (+ 1 (* 2/3 (pow eps 2))))>
#<alt (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))>
#<alt (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))>
#<alt (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))>
#<alt (* x (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))>
#<alt (* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))>
#<alt (* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))>
#<alt (* x (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x)))))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ x (* eps (+ 1 (* 4/3 (* eps x)))))>
#<alt (+ x (* eps (+ 1 (* eps (+ (* 2/3 eps) (* 4/3 x))))))>
#<alt (* 2/3 (pow eps 3))>
#<alt (* (pow eps 3) (+ 2/3 (* 4/3 (/ x eps))))>
#<alt (* (pow eps 3) (+ 2/3 (+ (* 4/3 (/ x eps)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (+ 2/3 (+ (* 4/3 (/ x eps)) (+ (/ 1 (pow eps 2)) (/ x (pow eps 3))))))>
#<alt (* 2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- (* -4/3 (/ x eps)) 2/3)))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 4/3 x) (/ 1 eps)) eps)) 2/3)))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ x eps)) 1) eps)) (* 4/3 x)) eps)) 2/3)))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (+ (* eps x) (pow x 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (+ (* 2/3 (* eps x)) (* 4/3 (pow x 2))))))) (pow x 2))))>
#<alt (* 2/3 (* (pow eps 4) x))>
#<alt (* (pow eps 4) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (* 1/3 (/ 1 eps)))))>
#<alt (* (pow eps 4) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* 1/3 (/ 1 eps)) (/ x (pow eps 2))))))>
#<alt (* (pow eps 4) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ x (pow eps 2)) (/ (pow x 2) (pow eps 3))))))))>
#<alt (* 2/3 (* (pow eps 4) x))>
#<alt (* (pow eps 4) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (* 1/3 (/ 1 eps)))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ x eps))) eps)) (* 2/3 x)))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (* -1 (/ (- (* -1 (pow x 2)) 1) eps))) eps))) eps)) (* 2/3 x)))>
#<alt (+ eps (* 1/3 (pow eps 3)))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2)))))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))>
#<alt (* eps (* (pow x 2) (+ 1 (* 4/3 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) x)))>
#<alt (* (pow x 2) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (+ (/ eps (pow x 2)) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) x)))))>
#<alt (* (pow x 2) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (+ (/ eps (pow x 2)) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) x)))))>
#<alt (* eps (* (pow x 2) (+ 1 (* 4/3 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) x)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))))>
#<alt (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x)))))>
#<alt (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (+ (* -1 (* eps (+ 1 (* 2/3 (pow eps 2))))) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (+ (* -1 (* eps (+ 1 (* 2/3 (pow eps 2))))) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))))>
#<alt (pow x 2)>
#<alt (+ (* eps x) (pow x 2))>
#<alt (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (+ (* eps (+ x (* eps (+ 1/3 (+ (* 2/3 (* eps x)) (* 4/3 (pow x 2))))))) (pow x 2))>
#<alt (* 2/3 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (* 1/3 (/ 1 eps)))))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* 1/3 (/ 1 eps)) (/ x (pow eps 2))))))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* 1/3 (/ 1 eps)) (+ (/ x (pow eps 2)) (/ (pow x 2) (pow eps 3)))))))>
#<alt (* 2/3 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (* 4/3 (pow x 2))) eps)) (* -2/3 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))) eps)) (* -2/3 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2)))) eps)) (* -2/3 x))))>
#<alt 1>
#<alt (+ 1 (* 4/3 (pow eps 2)))>
#<alt (+ 1 (* 4/3 (pow eps 2)))>
#<alt (+ 1 (* 4/3 (pow eps 2)))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 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)))>
#<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 (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)))>
#<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 (/ (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 (+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x)))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))>
#<alt (+ (* -1 (/ (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))))>
#<alt (+ (* -1 (/ (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))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -2/3 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))>
#<alt (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/6 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/6 (* 5/72 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/72 (* 61/2160 (pow x 2)))))))>
#<alt (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))>
#<alt (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))>
#<alt (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))>
#<alt (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))>
#<alt (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))>
#<alt (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))>
#<alt (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))>
#<alt (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos 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 (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<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 (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 (/ (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 (/ (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 (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>

Calls

111 calls:

Time	Variable		Point	Expression
63.0ms	eps	@	-inf	(/ (* eps (+ (cos x) (+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1)))
2.0ms	eps	@	0	(+ (* eps (+ (* x (+ (* x (+ (* eps (* eps 4/3)) 1)) (* eps (+ (* eps (* eps 2/3)) 1)))) (* 1/3 (* eps eps)))) eps)
1.0ms	x	@	inf	(+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
1.0ms	x	@	inf	(/ (* eps (+ (cos x) (+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1)))
1.0ms	eps	@	inf	(/ (* eps (+ (cos x) (+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1)))

rewrite516.0ms (2.9%)

Memory

-12.8MiB live, 422.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 966×	`accelerator-lowering-fma.f32`
3 966×	`accelerator-lowering-fma.f64`
3 682×	`-lowering-.f32`
3 682×	`-lowering-.f64`
3 202×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	277
1	375	252
2	3685	250
0	8797	224

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 870

Calls

Call 1

Inputs
(+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(+ (cos x) (+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(/ (* eps (+ (cos x) (+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1)))
(* eps (+ (cos x) (+ (* (* eps eps) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))
(+ (* x (+ (* eps (* eps 4/3)) 1)) (* eps (+ (* eps (* eps 2/3)) 1)))
(+ (* eps (+ (* x (+ (* x (+ (* eps (* eps 4/3)) 1)) (* eps (+ (* eps (* eps 2/3)) 1)))) (* 1/3 (* eps eps)))) eps)
(+ (* x (+ (* x (+ (* eps (* eps 4/3)) 1)) (* eps (+ (* eps (* eps 2/3)) 1)))) (* 1/3 (* eps eps)))
(+ (* eps (* eps 4/3)) 1)
(- (/ (sin (+ x eps)) (cos (+ x eps))) (tan x))
(/ (sin (+ x eps)) (cos (+ x eps)))
(sin (+ x eps))
(+ x eps)
(+ (* (- 0 (pow (tan x) 2)) (/ 1 (tan x))) (tan (+ eps x)))
(- 0 (pow (tan x) 2))
(pow (tan x) 2)
(tan x)
(* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(* eps 2/3)
(* eps 4/3)
(* 1/3 (* eps eps))
(cos (+ x eps))
(tan (+ eps x))
(/ 1 (tan x))

Outputs
(+.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))))
(+.f64 (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (.f64 (sin.f64 x) (tan.f64 x)))
(-.f64 (/.f64 (pow.f64 (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) #s(literal 2 binary64)) (-.f64 (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (.f64 (sin.f64 x) (tan.f64 x)))) (/.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (.f64 (sin.f64 x) (tan.f64 x)))))
(fma.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (*.f64 (sin.f64 x) (tan.f64 x)))
(fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (*.f64 (sin.f64 x) (tan.f64 x)))
(fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (*.f64 (sin.f64 x) (tan.f64 x)))
(fma.f64 #s(literal 1/3 binary64) (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 eps eps)) (*.f64 (sin.f64 x) (tan.f64 x)))
(fma.f64 (sin.f64 x) (tan.f64 x) (.f64 eps (.f64 (*.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))))
(fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 eps (.f64 eps #s(literal 1/3 binary64))) (*.f64 (sin.f64 x) (tan.f64 x)))
(fma.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (.f64 eps eps) (*.f64 (sin.f64 x) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (tan.f64 x)) (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))))
(fma.f64 (.f64 eps (.f64 eps #s(literal 1/3 binary64))) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)) (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))))
(fma.f64 (.f64 eps #s(literal 1/3 binary64)) (.f64 eps (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (*.f64 (sin.f64 x) (tan.f64 x)))
(fma.f64 (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) eps (*.f64 (sin.f64 x) (tan.f64 x)))
(fma.f64 (.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 1/3 binary64) (*.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (-.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))))))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (.f64 (sin.f64 x) (tan.f64 x))) (-.f64 (pow.f64 (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (tan.f64 x)) (-.f64 (.f64 (sin.f64 x) (tan.f64 x)) (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))))))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (.f64 (sin.f64 x) (tan.f64 x))) (-.f64 (pow.f64 (.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (-.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (neg.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (-.f64 (.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (tan.f64 x)))))
(*.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(*.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 1/3 binary64))
(*.f64 eps #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) eps)
(*.f64 eps #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) eps)
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal 1/3 binary64)) eps)
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 eps eps) (-.f64 eps x))) (cos.f64 (/.f64 (.f64 x x) (-.f64 eps x)))) (.f64 (sin.f64 (/.f64 (.f64 eps eps) (-.f64 eps x))) (sin.f64 (/.f64 (.f64 x x) (-.f64 eps x)))))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)))) (.f64 (sin.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)))))
(cos.f64 (+.f64 eps x))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 (/.f64 (.f64 eps eps) (-.f64 eps x))) (cos.f64 (/.f64 (.f64 x x) (-.f64 eps x))) (.f64 (sin.f64 (/.f64 (.f64 eps eps) (-.f64 eps x))) (sin.f64 (/.f64 (*.f64 x x) (-.f64 eps x)))))
(fma.f64 (cos.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))) (.f64 (sin.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (cos.f64 (-.f64 x eps)))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))) #s(literal -1 binary64)))
(tan.f64 (+.f64 eps x))
(neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 eps x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (+.f64 eps x))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (+.f64 eps x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x)))) (neg.f64 (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (+.f64 eps x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 eps x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 eps x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 (tan.f64 x))))
(neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(/.f64 #s(literal -1 binary64) (tan.f64 x))
(pow.f64 (tan.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal -1 binary64)))

simplify539.0ms (3.1%)

Memory

7.3MiB live, 945.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 350×	`accelerator-lowering-fma.f32`
11 350×	`accelerator-lowering-fma.f64`
7 390×	`-lowering-.f32`
7 390×	`-lowering-.f64`
5 204×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	698	8263
1	2319	7935
0	8107	7520

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(/ (pow (sin x) 2) (cos x))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (* 1/6 (pow eps 2)))))
(+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 1/6 (* 5/72 (pow eps 2))))))))
(+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 1/6 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 31/360 (* 61/2160 (pow eps 2)))))))))))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+ (cos x) (/ (pow (sin x) 2) (cos x)))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(/ (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (cos x))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (- (* eps (- (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (cos x))) (* -1 (/ (* (pow (sin x) 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (cos x))) (* -1 (/ (* (pow (sin x) 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 3))))) (cos x))) (* -1/3 (/ (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 2)))))) (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (cos x)))) (* -1 (/ (* (pow (sin x) 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* 1/3 (/ (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
(* (pow eps 3) (+ (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (/ 1 (* (pow eps 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (pow (sin x) 2) (* (pow eps 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))
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(* 1/3 (/ (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
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(* eps (+ 1 (* 1/3 (pow eps 2))))
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(/ (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
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(/ (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
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(/ (* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
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(* eps (+ (cos x) (/ (pow (sin x) 2) (cos x))))
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x
(+ eps x)
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(* 1/3 (pow eps 2))
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(pow x 2)
(+ (* eps x) (pow x 2))
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(* 2/3 (* (pow eps 3) x))
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(* (pow eps 3) (+ (* 2/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* 1/3 (/ 1 eps)) (/ x (pow eps 2))))))
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1
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(/ (sin eps) (cos eps))
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(/ (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))))
(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)))
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)))
(/ (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)))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x)))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (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))))
(+ (* -1 (/ (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))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* -2/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))
(* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
1/3
(+ 1/3 (* 1/6 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/6 (* 5/72 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/72 (* 61/2160 (pow x 2)))))))
(* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos 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)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 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))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(/ (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))))
(/ (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))))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) 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) (sin x))

Outputs
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(fma.f64 (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(fma.f64 (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(fma.f64 (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(.f64 #s(literal 1/3 binary64) (.f64 (*.f64 eps eps) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (.f64 (cos.f64 x) eps)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (.f64 (cos.f64 x) eps)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (.f64 (cos.f64 x) eps)))))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(.f64 #s(literal 1/3 binary64) (.f64 (*.f64 eps eps) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (.f64 (cos.f64 x) eps)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (.f64 (cos.f64 x) eps)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (.f64 (cos.f64 x) eps)))))
(* 1/3 (pow eps 2))
(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
(+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (* 1/6 (pow eps 2)))))
(fma.f64 x (.f64 x (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))
(+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 1/6 (* 5/72 (pow eps 2))))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 eps eps) #s(literal 5/72 binary64) #s(literal 1/6 binary64))) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))
(+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 1/6 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 31/360 (* 61/2160 (pow eps 2)))))))))))
(fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 eps (.f64 eps #s(literal 61/2160 binary64)) #s(literal 31/360 binary64)) (fma.f64 (.f64 eps eps) #s(literal 5/72 binary64) #s(literal 1/6 binary64))) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(fma.f64 (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
(fma.f64 (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))
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(* eps (+ 1 (+ (* eps (- (* eps (- (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (cos x))) (* -1 (/ (* (pow (sin x) 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (cos x))) (* -1 (/ (* (pow (sin x) 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 3))))) (cos x))) (* -1/3 (/ (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 2)))))) (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (cos x)))) (* -1 (/ (* (pow (sin x) 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* 1/3 (/ (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
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(* (pow eps 3) (+ (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (/ 1 (* (pow eps 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (pow (sin x) 2) (* (pow eps 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))
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(* (pow eps 3) (+ (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (/ 1 (* (pow eps 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (pow (sin x) 2) (* (pow eps 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))
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(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/945 binary64) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))

eval227.0ms (1.3%)

Memory: 7.2MiB live, 392.9MiB allocated
Compiler: Compiled 51 447 to 4 046 computations (92.1% saved)

prune221.0ms (1.3%)

Memory

-5.3MiB live, 310.3MiB allocated

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	1 654	20	1 674
Fresh	10	11	21
Picked	3	2	5
Done	0	2	2
Total	1 667	35	1 702

Accuracy

100.0%

Counts

1 702 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.3%	(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)))
	21.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
	35.2%	(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 (+.f64 eps x)))
	61.3%	(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
	35.3%	(fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 (+.f64 eps x)))
	98.9%	(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	98.9%	(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
	98.9%	(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 eps #s(literal 2/3 binary64)) (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) x) (*.f64 x x)) eps)
▶	98.9%	(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
	98.4%	(fma.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 (.f64 eps eps) (fma.f64 x #s(literal -2/3 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -4/3 binary64) #s(literal -1/3 binary64)) eps))))) eps)
	98.9%	(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
▶	98.9%	(fma.f64 eps (*.f64 x x) eps)
	99.2%	(/.f64 (fma.f64 (.f64 x x) (fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 eps eps) #s(literal 61/2160 binary64) #s(literal 61/720 binary64))) (fma.f64 (.f64 eps eps) #s(literal 5/72 binary64) #s(literal 5/24 binary64)))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	61.3%	(/.f64 (fma.f64 (tan.f64 x) (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (tan.f64 eps)) (.f64 (sin.f64 x) (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
▶	61.3%	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	99.2%	(/.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 eps eps) #s(literal 61/2160 binary64) #s(literal 61/720 binary64))) (fma.f64 (.f64 eps eps) #s(literal 5/72 binary64) #s(literal 5/24 binary64))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
▶	99.9%	(/.f64 (.f64 eps (fma.f64 (sin.f64 x) (tan.f64 x) (fma.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	99.0%	(/.f64 (.f64 eps (fma.f64 x (.f64 x (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	99.1%	(/.f64 (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 eps eps) #s(literal 5/72 binary64) #s(literal 5/24 binary64))) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	99.6%	(/.f64 (.f64 eps (+.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 61/2160 binary64) #s(literal 5/72 binary64))) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	99.7%	(/.f64 (.f64 eps (+.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/72 binary64) #s(literal 1/6 binary64))) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	99.7%	(/.f64 (.f64 eps (+.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	99.7%	(/.f64 (.f64 eps (+.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	99.7%	(/.f64 (.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
	61.3%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	61.3%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))) (tan.f64 x))
▶	60.8%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
✓	61.3%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	60.7%	(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	21.2%	(-.f64 (tan.f64 (.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))) (tan.f64 x))
	54.3%	(.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 x x)) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 eps eps) x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) (/.f64 eps (*.f64 x x))))))
	55.8%	(.f64 (.f64 x x) (-.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) x))) x)))
	98.4%	(.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))
✓	98.4%	eps

Compiler

Compiled 1 785 to 1 041 computations (41.7% saved)

simplify375.0ms (2.1%)

Memory

-14.3MiB live, 467.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 (+.f64 x eps))
✓	cost-diff	0	(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
✓	cost-diff	0	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
✓	cost-diff	0	(sin.f64 (-.f64 (+.f64 x eps) x))
✓	cost-diff	0	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps)))
✓	cost-diff	384	(-.f64 (+.f64 x eps) x)
✓	cost-diff	384	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
✓	cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))))))
✓	cost-diff	0	(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
✓	cost-diff	320	(fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)))
✓	cost-diff	320	(fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 eps (*.f64 x x) eps)
✓	cost-diff	0	(.f64 eps (fma.f64 (sin.f64 x) (tan.f64 x) (fma.f64 eps (.f64 (*.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x))))
✓	cost-diff	0	(/.f64 (.f64 eps (fma.f64 (sin.f64 x) (tan.f64 x) (fma.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
✓	cost-diff	5440	(fma.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x))
✓	cost-diff	14144	(fma.f64 (sin.f64 x) (tan.f64 x) (fma.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)))

Rules

12 348×	`accelerator-lowering-fma.f32`
12 348×	`accelerator-lowering-fma.f64`
3 842×	`-lowering-.f32`
3 842×	`-lowering-.f64`
3 170×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	491
1	178	491
2	529	437
3	1924	427
4	5726	427
5	7802	427
0	8155	385

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* eps (+ (* (sin x) (tan x)) (+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x)))) (* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1)))
(* eps (+ (* (sin x) (tan x)) (+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x))))
eps
(+ (* (sin x) (tan x)) (+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x)))
(sin x)
x
(tan x)
(+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x))
(* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))
(* eps 1/3)
1/3
(+ (* (sin x) (tan x)) (cos x))
(cos x)
(* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1))
(+ (* (tan eps) (- 0 (tan x))) 1)
(tan eps)
(- 0 (tan x))
0
1
(+ (* eps (* x x)) eps)
eps
(* x x)
x
(+ (* eps (+ (* 1/3 (* eps eps)) (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1)))))) eps)
eps
(+ (* 1/3 (* eps eps)) (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1)))))
1/3
(* eps eps)
(* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1))))
x
(+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1)))
(+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))
(* eps (+ (* 17/9 (* eps eps)) 4/3))
(+ (* 17/9 (* eps eps)) 4/3)
17/9
4/3
(+ (* eps (* eps 4/3)) 1)
(* eps 4/3)
1
(* eps (+ (* eps (* eps 2/3)) 1))
(+ (* eps (* eps 2/3)) 1)
(* eps 2/3)
2/3
(/ (/ (sin (- (+ x eps) x)) (cos (+ x eps))) (cos x))
(/ (sin (- (+ x eps) x)) (cos (+ x eps)))
(sin (- (+ x eps) x))
(- (+ x eps) x)
(+ x eps)
x
eps
(cos (+ x eps))
(cos x)
(- (/ (sin (+ x eps)) (cos (+ x eps))) (/ 1 (/ (cos x) (sin x))))
(/ (sin (+ x eps)) (cos (+ x eps)))
(sin (+ x eps))
(+ x eps)
x
eps
(cos (+ x eps))
(/ 1 (/ (cos x) (sin x)))
1
(/ (cos x) (sin x))
(cos x)
(sin x)

Outputs
(/ (* eps (+ (* (sin x) (tan x)) (+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x)))) (* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1)))
(/.f64 (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (fma.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal -1 binary64))) #s(literal 0 binary64)))
(* eps (+ (* (sin x) (tan x)) (+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x))))
(.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/3 binary64)) #s(literal 1 binary64))))
eps
(+ (* (sin x) (tan x)) (+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x)))
(.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (fma.f64 eps (.f64 eps #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(sin x)
(sin.f64 x)
x
(tan x)
(tan.f64 x)
(+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x))
(fma.f64 (sin.f64 x) (.f64 (tan.f64 x) (.f64 eps (.f64 eps #s(literal 1/3 binary64)))) (.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))
(.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(* eps 1/3)
(*.f64 eps #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ (* (sin x) (tan x)) (cos x))
(fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))
(cos x)
(cos.f64 x)
(* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1))
(fma.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal -1 binary64))) #s(literal 0 binary64))
(+ (* (tan eps) (- 0 (tan x))) 1)
(-.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal -1 binary64)))
(tan eps)
(tan.f64 eps)
(- 0 (tan x))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
0
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(+ (* eps (* x x)) eps)
(*.f64 eps (fma.f64 x x #s(literal 1 binary64)))
eps
(* x x)
(*.f64 x x)
x
(+ (* eps (+ (* 1/3 (* eps eps)) (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1)))))) eps)
(.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 17/9 binary64)) #s(literal 4/3 binary64)) (.f64 eps #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))) x) (fma.f64 eps (*.f64 eps #s(literal 1/3 binary64)) #s(literal 1 binary64))))
eps
(+ (* 1/3 (* eps eps)) (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1)))))
(fma.f64 x (fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 17/9 binary64)) #s(literal 4/3 binary64)) (.f64 eps #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))) x) (.f64 eps (*.f64 eps #s(literal 1/3 binary64))))
1/3
#s(literal 1/3 binary64)
(* eps eps)
(*.f64 eps eps)
(* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1))))
(.f64 x (fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 17/9 binary64)) #s(literal 4/3 binary64)) (.f64 eps #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))) x))
x
(+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1)))
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 17/9 binary64)) #s(literal 4/3 binary64)) (.f64 eps #s(literal 4/3 binary64))) (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))) x)
(+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))
(fma.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 17/9 binary64)) #s(literal 4/3 binary64)) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64))
(* eps (+ (* 17/9 (* eps eps)) 4/3))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 17/9 binary64)) #s(literal 4/3 binary64)))
(+ (* 17/9 (* eps eps)) 4/3)
(fma.f64 eps (*.f64 eps #s(literal 17/9 binary64)) #s(literal 4/3 binary64))
17/9
#s(literal 17/9 binary64)
4/3
#s(literal 4/3 binary64)
(+ (* eps (* eps 4/3)) 1)
(fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))
(* eps 4/3)
(*.f64 eps #s(literal 4/3 binary64))
1
#s(literal 1 binary64)
(* eps (+ (* eps (* eps 2/3)) 1))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(+ (* eps (* eps 2/3)) 1)
(fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))
(* eps 2/3)
(*.f64 eps #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
(/ (/ (sin (- (+ x eps) x)) (cos (+ x eps))) (cos x))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/ (sin (- (+ x eps) x)) (cos (+ x eps)))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))
(sin (- (+ x eps) x))
(sin.f64 eps)
(- (+ x eps) x)
eps
(+ x eps)
(+.f64 eps x)
x
eps
(cos (+ x eps))
(cos.f64 (+.f64 eps x))
(cos x)
(cos.f64 x)
(- (/ (sin (+ x eps)) (cos (+ x eps))) (/ 1 (/ (cos x) (sin x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (+ x eps)) (cos (+ x eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(sin (+ x eps))
(sin.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
(cos (+ x eps))
(cos.f64 (+.f64 eps x))
(/ 1 (/ (cos x) (sin x)))
(/.f64 (sin.f64 x) (cos.f64 x))
1
#s(literal 1 binary64)
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(cos x)
(cos.f64 x)
(sin x)
(sin.f64 x)

localize232.0ms (1.3%)

Memory

-0.3MiB live, 316.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 (+.f64 x eps))
✓	accuracy	100.0%	(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
✓	accuracy	61.3%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps)))
✓	accuracy	100.0%	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
✓	accuracy	61.3%	(-.f64 (+.f64 x eps) x)
✓	accuracy	99.8%	(.f64 x (fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))
✓	accuracy	99.5%	(.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64)))
✓	accuracy	99.4%	(*.f64 eps #s(literal 4/3 binary64))
✓	accuracy	99.4%	(*.f64 eps #s(literal 2/3 binary64))
✓	accuracy	100.0%	(fma.f64 eps (*.f64 x x) eps)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x))
✓	accuracy	100.0%	(.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
✓	accuracy	100.0%	(.f64 eps (fma.f64 (sin.f64 x) (tan.f64 x) (fma.f64 eps (.f64 (*.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x))))
✓	accuracy	99.4%	(*.f64 eps #s(literal 1/3 binary64))

Samples

76.0ms	161×	0	valid
74.0ms	92×	1	valid
2.0ms	2×	2	valid
2.0ms	1×	4	valid

Compiler

Compiled 453 to 61 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-mult: 37.0ms (31.1% of total)

ival-add: 21.0ms (17.6% of total)

const: 20.0ms (16.8% of total)

ival-div: 12.0ms (10.1% of total)

adjust: 7.0ms (5.9% of total)

ival-sin: 7.0ms (5.9% of total)

ival-tan: 5.0ms (4.2% of total)

ival-cos: 5.0ms (4.2% of total)

ival-sub: 4.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.3%)

Memory

31.6MiB live, 70.1MiB allocated

Counts

25 → 516

Calls

Call 1

Inputs
#<alt (+ (* (sin x) (tan x)) (+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x)))>
#<alt (+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x))>
#<alt (/ (* eps (+ (* (sin x) (tan x)) (+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x)))) (* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1)))>
#<alt (* eps (+ (* (sin x) (tan x)) (+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x))))>
#<alt (+ (* eps (* x x)) eps)>
#<alt (* x x)>
#<alt (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1)))>
#<alt (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))>
#<alt (+ (* eps (+ (* 1/3 (* eps eps)) (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1)))))) eps)>
#<alt (+ (* 1/3 (* eps eps)) (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1)))))>
#<alt (/ (/ (sin (- (+ x eps) x)) (cos (+ x eps))) (cos x))>
#<alt (- (+ x eps) x)>
#<alt (/ (sin (- (+ x eps) x)) (cos (+ x eps)))>
#<alt (sin (- (+ x eps) x))>
#<alt (/ 1 (/ (cos x) (sin x)))>
#<alt (- (/ (sin (+ x eps)) (cos (+ x eps))) (/ 1 (/ (cos x) (sin x))))>
#<alt (/ (sin (+ x eps)) (cos (+ x eps)))>
#<alt (sin (+ x eps))>
#<alt (* eps 1/3)>
#<alt (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))>
#<alt (* eps 2/3)>
#<alt (* eps 4/3)>
#<alt (* eps (+ (* 17/9 (* eps eps)) 4/3))>
#<alt (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1))))>
#<alt (cos x)>

Outputs
#<alt (+ 1 (* 1/3 (pow eps 2)))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (/ (pow (sin x) 2) (cos x)))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))>
#<alt (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))>
#<alt (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))>
#<alt (cos x)>
#<alt (+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))))>
#<alt (+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))))>
#<alt (+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))))>
#<alt (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))))>
#<alt (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))))>
#<alt (+ 1 (* 1/3 (pow eps 2)))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (- (* 1/6 (pow eps 2)) 1/2))))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 1/24 (* 5/72 (pow eps 2))))) 1/2))))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 1/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (- (* 61/2160 (pow eps 2)) 1/720)))))) 1/2))))>
#<alt (+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))))>
#<alt (+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))))>
#<alt (+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))))>
#<alt (+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))))>
#<alt (+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))))>
#<alt (+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))))>
#<alt (+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))))>
#<alt (+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))))>
#<alt (/ (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (cos x))>
#<alt (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (- (* eps (- (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (cos x))) (* -1 (/ (* (pow (sin x) 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (cos x))) (* -1 (/ (* (pow (sin x) 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 3))))) (cos x))) (* -1/3 (/ (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 2)))))) (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (cos x)))) (* -1 (/ (* (pow (sin x) 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* 1/3 (/ (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))>
#<alt (* (pow eps 3) (+ (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (/ 1 (* (pow eps 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (pow (sin x) 2) (* (pow eps 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))>
#<alt (* (pow eps 3) (+ (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (/ 1 (* (pow eps 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (pow (sin x) 2) (* (pow eps 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))>
#<alt (* (pow eps 3) (+ (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (/ 1 (* (pow eps 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (pow (sin x) 2) (* (pow eps 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))>
#<alt (* 1/3 (/ (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (/ 1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (pow eps 2))) (* -1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (/ 1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (pow eps 2))) (* -1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (/ 1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (pow eps 2))) (* -1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
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#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (pow eps 2))) (* -1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))))))>
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#<alt eps>
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#<alt (+ eps (* eps (pow x 2)))>
#<alt (* eps (pow x 2))>
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#<alt (* (pow x 2) (+ eps (/ eps (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
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#<alt (* eps (* (pow x 2) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))>
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#<alt (* (pow x 2) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))>
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#<alt x>
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#<alt (* (pow eps 3) (+ 2/3 (* 17/9 (pow x 2))))>
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#<alt 1>
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#<alt (* (pow eps 4) (* x (+ 2/3 (* 17/9 (pow x 2)))))>
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#<alt (* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2))))))>
#<alt (* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3))))))))>
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#<alt (* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) eps))))>
#<alt (* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ (* -1 (* x (- (* -4/3 (pow x 2)) 1))) (* -1 (/ (- (* -1 (pow x 2)) 1) eps))) eps))) eps))))>
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#<alt (* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 3))) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ eps (pow x 3)) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))))>
#<alt (* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
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#<alt (* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))) x)))))>
#<alt (pow x 2)>
#<alt (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))>
#<alt (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (+ (* eps (+ (* eps (+ 1/3 (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2)))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))>
#<alt (* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (* 1/3 (/ 1 eps)))))>
#<alt (* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2))))))>
#<alt (* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3)))))))>
#<alt (* -1 (* (pow eps 3) (* x (- (* -17/9 (pow x 2)) 2/3))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* -1 (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) (* 4/3 (pow x 2)))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2)))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))))>
#<alt (* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))>
#<alt (* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))>
#<alt (* (pow x 3) (+ (* 1/3 (/ (pow eps 2) (pow x 3))) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))))>
#<alt (* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))>
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#<alt (* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) 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 (+ (* eps (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))>
#<alt (* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (* x (+ 2/3 (* 17/9 (pow x 2))))))>
#<alt (* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)))))>
#<alt (* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3))))))>
#<alt (* -1 (* (pow eps 3) (* x (- (* -17/9 (pow x 2)) 2/3))))>
#<alt (* -1 (* (pow eps 3) (+ (* -4/3 (/ (pow x 2) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>

Calls

129 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	(+ (* (sin x) (tan x)) (+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x)))
2.0ms	eps	@	inf	(+ (* 1/3 (* eps eps)) (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1)))))
1.0ms	eps	@	-inf	(/ (/ (sin (- (+ x eps) x)) (cos (+ x eps))) (cos x))
1.0ms	x	@	inf	(/ (/ (sin (- (+ x eps) x)) (cos (+ x eps))) (cos x))
1.0ms	eps	@	0	(/ (/ (sin (- (+ x eps) x)) (cos (+ x eps))) (cos x))

rewrite599.0ms (3.4%)

Memory

-21.7MiB live, 706.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 700×	`-lowering-.f32`
7 700×	`-lowering-.f64`
4 478×	`accelerator-lowering-fma.f32`
4 478×	`accelerator-lowering-fma.f64`
3 780×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	373
1	416	361
2	4018	347
0	10853	306

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 795

Calls

Call 1

Inputs
(+ (* (sin x) (tan x)) (+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x)))
(+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x))
(/ (* eps (+ (* (sin x) (tan x)) (+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x)))) (* (cos x) (+ (* (tan eps) (- 0 (tan x))) 1)))
(* eps (+ (* (sin x) (tan x)) (+ (* eps (* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))) (cos x))))
(+ (* eps (* x x)) eps)
(* x x)
(+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1)))
(+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))
(+ (* eps (+ (* 1/3 (* eps eps)) (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1)))))) eps)
(+ (* 1/3 (* eps eps)) (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1)))))
(/ (/ (sin (- (+ x eps) x)) (cos (+ x eps))) (cos x))
(- (+ x eps) x)
(/ (sin (- (+ x eps) x)) (cos (+ x eps)))
(sin (- (+ x eps) x))
(/ 1 (/ (cos x) (sin x)))
(- (/ (sin (+ x eps)) (cos (+ x eps))) (/ 1 (/ (cos x) (sin x))))
(/ (sin (+ x eps)) (cos (+ x eps)))
(sin (+ x eps))
(* eps 1/3)
(* (* eps 1/3) (+ (* (sin x) (tan x)) (cos x)))
(* eps 2/3)
(* eps 4/3)
(* eps (+ (* 17/9 (* eps eps)) 4/3))
(* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (* eps (+ (* eps (* eps 2/3)) 1))))
(cos x)

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

simplify541.0ms (3.1%)

Memory

4.6MiB live, 675.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 196×	`accelerator-lowering-fma.f32`
8 196×	`accelerator-lowering-fma.f64`
6 738×	`+-lowering-+.f64`
6 738×	`+-lowering-+.f32`
6 590×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	959	9559
1	3303	9340
0	8211	8782

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

Inputs
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
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1
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(* -1 (* (pow eps 3) (- (* -17/9 x) (* 4/3 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* -17/9 x) (* -1 (/ (+ 4/3 (* 4/3 (/ x eps))) eps)))))
(* -1 (* (pow eps 3) (+ (* -17/9 x) (* -1 (/ (+ 4/3 (* -1 (/ (- (* -4/3 x) (/ 1 eps)) eps))) 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)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2)))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))
(* (pow eps 4) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (* 1/3 (/ 1 eps)))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2))))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3))))))))
(* -1 (* (pow eps 4) (* x (- (* -17/9 (pow x 2)) 2/3))))
(* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 4/3 (/ (pow x 2) eps)) (* 1/3 (/ 1 eps)))))
(* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) eps))))
(* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ (* -1 (* x (- (* -4/3 (pow x 2)) 1))) (* -1 (/ (- (* -1 (pow x 2)) 1) eps))) eps))) eps))))
(+ eps (* 1/3 (pow eps 3)))
(+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2)))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))
(* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* (pow x 3) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))
(* (pow x 3) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 3))) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ eps (pow x 3)) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))))
(* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) x)) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))) x)))))
(pow x 2)
(+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))
(+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(+ (* eps (+ (* eps (+ 1/3 (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2)))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (* 1/3 (/ 1 eps)))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2))))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3)))))))
(* -1 (* (pow eps 3) (* x (- (* -17/9 (pow x 2)) 2/3))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* -1 (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) (* 4/3 (pow x 2)))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2)))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))))
(* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 2) (pow x 3))) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))))
(* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1 (* eps (+ 1 (* 2/3 (pow eps 2))))) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))) x)))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (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 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (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 eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(/ eps (pow (cos x) 2))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (sin eps) (cos (+ eps x)))
(/ (sin eps) (cos (+ eps x)))
(/ (sin eps) (cos (+ eps x)))
(/ (sin eps) (cos (+ eps x)))
(/ (sin eps) (cos (- eps (* -1 x))))
(/ (sin eps) (cos (- eps (* -1 x))))
(/ (sin eps) (cos (- eps (* -1 x))))
(/ (sin eps) (cos (- eps (* -1 x))))
(/ eps (cos x))
(* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (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))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(/ (sin eps) (cos (+ eps x)))
(/ (sin eps) (cos (+ eps x)))
(/ (sin eps) (cos (+ eps x)))
(/ (sin eps) (cos (+ eps x)))
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin (neg (* -1 eps)))
(sin (neg (* -1 eps)))
(sin (neg (* -1 eps)))
(sin (neg (* -1 eps)))
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))
(/ (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))))
(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)))
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 eps)
(+ (* 1/6 (* eps (pow x 2))) (* 1/3 eps))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 5/72 (* eps (pow x 2))) (* 1/6 eps))))
(+ (* 1/3 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* 61/2160 (* eps (pow x 2))) (* 5/72 eps))))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* 1/3 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos 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)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* eps (+ 4/3 (* 17/9 (pow eps 2))))
(* eps (+ 4/3 (* 17/9 (pow eps 2))))
(* eps (+ 4/3 (* 17/9 (pow eps 2))))
(* 17/9 (pow eps 3))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(* 17/9 (pow eps 3))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(* eps (* x (+ 1 (* 2/3 (pow eps 2)))))
(* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))
(* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))
(* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))
(* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))
(* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) 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 (+ (* eps (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (* x (+ 2/3 (* 17/9 (pow x 2))))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3))))))
(* -1 (* (pow eps 3) (* x (- (* -17/9 (pow x 2)) 2/3))))
(* -1 (* (pow eps 3) (+ (* -4/3 (/ (pow x 2) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)

Outputs
(+ 1 (* 1/3 (pow eps 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 5/72 binary64) #s(literal 5/24 binary64)) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 61/2160 binary64) #s(literal 61/720 binary64)) (fma.f64 (.f64 eps eps) #s(literal 5/72 binary64) #s(literal 5/24 binary64))) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+.f64 (cos.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+.f64 (cos.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+.f64 (cos.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+.f64 (cos.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+.f64 (cos.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+.f64 (cos.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+.f64 (cos.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+.f64 (cos.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (cos x) (/ (pow (sin x) 2) (cos x)))
(+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+.f64 (cos.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+.f64 (cos.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(+.f64 (cos.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(.f64 (.f64 eps eps) (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 eps eps) (cos.f64 x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(.f64 (.f64 eps eps) (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 eps eps) (cos.f64 x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(.f64 (.f64 eps eps) (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 eps eps) (cos.f64 x)))))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(.f64 (.f64 eps eps) (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 eps eps) (cos.f64 x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(.f64 (.f64 eps eps) (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 eps eps) (cos.f64 x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(.f64 (.f64 eps eps) (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 eps eps) (cos.f64 x)))))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))
(+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))
(+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (*.f64 eps eps))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (*.f64 eps eps))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (*.f64 eps eps))))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (*.f64 eps eps))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (*.f64 eps eps))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (cos.f64 x) (*.f64 eps eps))))
(+ 1 (* 1/3 (pow eps 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (- (* 1/6 (pow eps 2)) 1/2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 1/24 (* 5/72 (pow eps 2))))) 1/2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 5/72 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 1/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (- (* 61/2160 (pow eps 2)) 1/720)))))) 1/2))))
(+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 5/72 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 x x) (fma.f64 (*.f64 eps eps) #s(literal 61/2160 binary64) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
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(* eps (+ 1 (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (cos x))) (* -1 (/ (* (pow (sin x) 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 3))))) (cos x))) (* -1/3 (/ (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 2)))))) (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (cos x)))) (* -1 (/ (* (pow (sin x) 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (sin x) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (pow (cos x) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* 1/3 (/ (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
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(* (pow eps 3) (+ (* 1/3 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (+ (/ 1 (* (pow eps 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (pow (sin x) 2) (* (pow eps 2) (* (pow (cos x) 2) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))))
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(* 1/3 (/ (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
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(* eps (+ 1 (* 1/3 (pow eps 2))))
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(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 17/9 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 eps eps))))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 17/9 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 eps eps))))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 17/9 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 eps eps))))
(* eps (* x (+ 1 (* 2/3 (pow eps 2)))))
(.f64 eps (.f64 x (fma.f64 (*.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64))))
(* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))
(.f64 x (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)))))
(* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))
(.f64 x (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 x (fma.f64 eps (.f64 x (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64))) (.f64 (.f64 eps eps) #s(literal 4/3 binary64))) x)))
(* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))
(.f64 x (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 x (fma.f64 eps (.f64 x (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64))) (.f64 (.f64 eps eps) #s(literal 4/3 binary64))) x)))
(* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(.f64 (.f64 eps (.f64 x (.f64 x x))) (fma.f64 (*.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))
(.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (.f64 eps eps) x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) x))) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))
(.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (.f64 eps eps) x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (fma.f64 eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))
(.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (.f64 eps eps) x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (fma.f64 eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) (.f64 x (*.f64 x x)))
(* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(.f64 (.f64 eps (.f64 x (.f64 x x))) (fma.f64 (*.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))
(.f64 (neg.f64 (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (/.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) x))) (neg.f64 (.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) x)))))
(.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) x) (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)))) x) (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)))) (neg.f64 (.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) x)))))
(.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) x) (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)))) x) (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)))) (neg.f64 (.f64 x (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))
(fma.f64 eps (.f64 x (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64))) (*.f64 x x))
(+ (* eps (+ (* 4/3 (* eps (pow x 2))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(fma.f64 eps (fma.f64 x (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) (.f64 (.f64 eps (.f64 x x)) #s(literal 4/3 binary64))) (*.f64 x x))
(+ (* eps (+ (* eps (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 (.f64 eps x) (fma.f64 (.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64)) (.f64 (.f64 x x) #s(literal 4/3 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)))) (*.f64 x x))
(* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(.f64 (.f64 x (.f64 eps (.f64 eps eps))) (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64)))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (* x (+ 2/3 (* 17/9 (pow x 2))))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 x (fma.f64 (.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64)) (.f64 #s(literal 4/3 binary64) (/.f64 (.f64 x x) eps))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 x (+.f64 (fma.f64 (.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) (.f64 eps eps))) (.f64 #s(literal 4/3 binary64) (/.f64 (.f64 x x) eps))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3))))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 4/3 binary64) (/.f64 (.f64 x x) eps) (fma.f64 x (+.f64 (fma.f64 (.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) (.f64 eps eps))) (/.f64 (.f64 x x) (.f64 eps (.f64 eps eps))))))
(* -1 (* (pow eps 3) (* x (- (* -17/9 (pow x 2)) 2/3))))
(.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 (*.f64 x x) #s(literal -17/9 binary64) #s(literal -2/3 binary64)) (-.f64 #s(literal 0 binary64) x)))
(* -1 (* (pow eps 3) (+ (* -4/3 (/ (pow x 2) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(.f64 (fma.f64 x (fma.f64 (.f64 x x) #s(literal -17/9 binary64) #s(literal -2/3 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal -4/3 binary64)) eps)) (neg.f64 (.f64 eps (.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(.f64 (-.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -17/9 binary64) #s(literal -2/3 binary64))) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4/3 binary64)) (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -4/3 binary64) #s(literal -1 binary64))) eps)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -17/9 binary64) #s(literal -2/3 binary64))) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4/3 binary64)) (/.f64 (-.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -4/3 binary64) #s(literal -1 binary64))) (/.f64 (.f64 x x) eps)) eps)) eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

eval211.0ms (1.2%)

Memory: 15.8MiB live, 396.0MiB allocated
Compiler: Compiled 47 923 to 3 627 computations (92.4% saved)

prune494.0ms (2.8%)

Memory

-173.1MiB live, 323.0MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1 369	14	1 383
Fresh	20	6	26
Picked	4	1	5
Done	2	2	4
Total	1 395	23	1 418

Accuracy

100.0%

Counts

1 418 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	98.9%	(fma.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64))) (*.f64 x x)) eps)
	98.9%	(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 eps (.f64 #s(literal 4/3 binary64) (+.f64 eps x)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
	98.9%	(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 (*.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x))) eps)
	98.9%	(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (*.f64 x (+.f64 eps x)) #s(literal 1 binary64)) x))) eps)
	98.9%	(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64)) (.f64 x #s(literal 4/3 binary64))))) x))) eps)
	98.4%	(fma.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 (.f64 eps eps) (fma.f64 x #s(literal -2/3 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -4/3 binary64) #s(literal -1/3 binary64)) eps))))) eps)
	98.9%	(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
✓	98.9%	(fma.f64 eps (*.f64 x x) eps)
	100.0%	(/.f64 (/.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	99.9%	(/.f64 (/.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	99.7%	(/.f64 (/.f64 eps (cos.f64 (+.f64 x eps))) (cos.f64 x))
	99.3%	(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
	100.0%	(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	99.3%	(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
	60.7%	(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	33.7%	(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (/.f64 (-.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps (*.f64 eps eps)) eps) x))) x)) x)))))
	52.8%	(.f64 (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) eps) (fma.f64 x (.f64 x eps) (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x eps) (neg.f64 eps))))
	55.8%	(.f64 (.f64 x x) (-.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) x))) x)))
	54.3%	(.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x))))
	98.4%	(.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))
✓	98.4%	eps

Compiler

Compiled 2 224 to 607 computations (72.7% saved)

regimes66.0ms (0.4%)

Memory

25.7MiB live, 104.8MiB allocated

Counts

73 → 1

Calls

Call 1

Inputs
eps
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
(.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x))))
(fma.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64))) (*.f64 x x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 (*.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (*.f64 x (+.f64 eps x)) #s(literal 1 binary64)) x))) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 eps #s(literal 2/3 binary64)) (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) x) (*.f64 x x)) eps)
(fma.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 (.f64 eps eps) (fma.f64 x #s(literal -2/3 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -4/3 binary64) #s(literal -1/3 binary64)) eps))))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) eps) (fma.f64 x (.f64 x eps) (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x eps) (neg.f64 eps))))
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 eps (.f64 #s(literal 4/3 binary64) (+.f64 eps x)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64)) (.f64 x #s(literal 4/3 binary64))))) x))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
(.f64 (.f64 x x) (-.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) x))) x)))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 x x)) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 eps eps) x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) (/.f64 eps (*.f64 x x))))))
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (/.f64 (-.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps (*.f64 eps eps)) eps) x))) x)) x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
(/.f64 (/.f64 eps (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (tan.f64 (.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))) (tan.f64 x))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x 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)))
(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (.f64 eps (fma.f64 x (.f64 x (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(/.f64 (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 eps eps) #s(literal 5/72 binary64) #s(literal 5/24 binary64))) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 eps eps) #s(literal 61/2160 binary64) #s(literal 61/720 binary64))) (fma.f64 (.f64 eps eps) #s(literal 5/72 binary64) #s(literal 5/24 binary64))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 eps (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 eps eps) #s(literal 61/2160 binary64) #s(literal 61/720 binary64))) (fma.f64 (.f64 eps eps) #s(literal 5/72 binary64) #s(literal 5/24 binary64)))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 (+.f64 eps x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 (+.f64 eps x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))) (tan.f64 x))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 (+.f64 eps x)))
(/.f64 (.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (+.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (+.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (+.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/72 binary64) #s(literal 1/6 binary64))) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (+.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 61/2160 binary64) #s(literal 5/72 binary64))) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (.f64 (sin.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64)))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (.f64 (sin.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64)))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64)) (.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (fma.f64 (sin.f64 x) (tan.f64 x) (fma.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(/.f64 (fma.f64 (tan.f64 x) (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (tan.f64 eps)) (.f64 (sin.f64 x) (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/3 binary64) (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(/.f64 (.f64 eps (+.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.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 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)

Outputs
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))

Calls

3 calls:

26.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
19.0ms	x
18.0ms	eps

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes34.0ms (0.2%)

Memory

-13.5MiB live, 61.6MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
eps
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
(.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x))))
(fma.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64))) (*.f64 x x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 (*.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (*.f64 x (+.f64 eps x)) #s(literal 1 binary64)) x))) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 eps #s(literal 2/3 binary64)) (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) x) (*.f64 x x)) eps)
(fma.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 (.f64 eps eps) (fma.f64 x #s(literal -2/3 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -4/3 binary64) #s(literal -1/3 binary64)) eps))))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) eps) (fma.f64 x (.f64 x eps) (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x eps) (neg.f64 eps))))
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 eps (.f64 #s(literal 4/3 binary64) (+.f64 eps x)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64)) (.f64 x #s(literal 4/3 binary64))))) x))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
(.f64 (.f64 x x) (-.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) x))) x)))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 x x)) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 eps eps) x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) (/.f64 eps (*.f64 x x))))))
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (/.f64 (-.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps (*.f64 eps eps)) eps) x))) x)) x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
(/.f64 (/.f64 eps (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (tan.f64 (.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))) (tan.f64 x))

Outputs
(/.f64 (/.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))) (cos.f64 x))

Calls

3 calls:

12.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
11.0ms	x
10.0ms	eps

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes32.0ms (0.2%)

Memory

8.8MiB live, 51.7MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
eps
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
(.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x))))
(fma.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64))) (*.f64 x x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 (*.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (*.f64 x (+.f64 eps x)) #s(literal 1 binary64)) x))) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 eps #s(literal 2/3 binary64)) (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) x) (*.f64 x x)) eps)
(fma.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 (.f64 eps eps) (fma.f64 x #s(literal -2/3 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -4/3 binary64) #s(literal -1/3 binary64)) eps))))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) eps) (fma.f64 x (.f64 x eps) (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x eps) (neg.f64 eps))))
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 eps (.f64 #s(literal 4/3 binary64) (+.f64 eps x)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64)) (.f64 x #s(literal 4/3 binary64))))) x))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
(.f64 (.f64 x x) (-.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) x))) x)))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 x x)) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 eps eps) x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) (/.f64 eps (*.f64 x x))))))
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (/.f64 (-.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps (*.f64 eps eps)) eps) x))) x)) x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
(/.f64 (/.f64 eps (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))) (cos.f64 x))

Outputs
(/.f64 (/.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))) (cos.f64 x))

Calls

3 calls:

12.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms	x
9.0ms	eps

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`eps`
99.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes30.0ms (0.2%)

Memory

-25.1MiB live, 53.3MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
eps
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
(.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x))))
(fma.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64))) (*.f64 x x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 (*.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (*.f64 x (+.f64 eps x)) #s(literal 1 binary64)) x))) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 eps #s(literal 2/3 binary64)) (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) x) (*.f64 x x)) eps)
(fma.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 (.f64 eps eps) (fma.f64 x #s(literal -2/3 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -4/3 binary64) #s(literal -1/3 binary64)) eps))))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) eps) (fma.f64 x (.f64 x eps) (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x eps) (neg.f64 eps))))
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 eps (.f64 #s(literal 4/3 binary64) (+.f64 eps x)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64)) (.f64 x #s(literal 4/3 binary64))))) x))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
(.f64 (.f64 x x) (-.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) x))) x)))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 x x)) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 eps eps) x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) (/.f64 eps (*.f64 x x))))))
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (/.f64 (-.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps (*.f64 eps eps)) eps) x))) x)) x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
(/.f64 (/.f64 eps (cos.f64 (+.f64 x eps))) (cos.f64 x))

Outputs
(/.f64 (/.f64 eps (cos.f64 (+.f64 x eps))) (cos.f64 x))

Calls

3 calls:

10.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms	x
9.0ms	eps

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`eps`
99.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes29.0ms (0.2%)

Memory

15.5MiB live, 54.7MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
eps
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
(.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x))))
(fma.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64))) (*.f64 x x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 (*.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (*.f64 x (+.f64 eps x)) #s(literal 1 binary64)) x))) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 eps #s(literal 2/3 binary64)) (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) x) (*.f64 x x)) eps)
(fma.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 (.f64 eps eps) (fma.f64 x #s(literal -2/3 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -4/3 binary64) #s(literal -1/3 binary64)) eps))))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) eps) (fma.f64 x (.f64 x eps) (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x eps) (neg.f64 eps))))
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 eps (.f64 #s(literal 4/3 binary64) (+.f64 eps x)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64)) (.f64 x #s(literal 4/3 binary64))))) x))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
(.f64 (.f64 x x) (-.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) x))) x)))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 x x)) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 eps eps) x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) (/.f64 eps (*.f64 x x))))))
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (/.f64 (-.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps (*.f64 eps eps)) eps) x))) x)) x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))

Outputs
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))

Calls

3 calls:

10.0ms	x
9.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms	eps

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)

regimes30.0ms (0.2%)

Memory

0.6MiB live, 56.9MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
eps
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
(.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x))))
(fma.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64))) (*.f64 x x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 (*.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (*.f64 x (+.f64 eps x)) #s(literal 1 binary64)) x))) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 eps #s(literal 2/3 binary64)) (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) x) (*.f64 x x)) eps)
(fma.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 (.f64 eps eps) (fma.f64 x #s(literal -2/3 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -4/3 binary64) #s(literal -1/3 binary64)) eps))))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) eps) (fma.f64 x (.f64 x eps) (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x eps) (neg.f64 eps))))
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 eps (.f64 #s(literal 4/3 binary64) (+.f64 eps x)) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) (.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64)) (.f64 x #s(literal 4/3 binary64))))) x))) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) eps)
(.f64 (.f64 x x) (-.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))) x))) x)))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 x x)) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 eps eps) x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) (/.f64 eps (*.f64 x x))))))
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (/.f64 (-.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps (*.f64 eps eps)) eps) x))) x)) x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))

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

Calls

3 calls:

11.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms	x
8.0ms	eps

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`eps`
98.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-19.9MiB live, 18.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`eps`
98.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)

Calls

3 calls:

2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`eps`
98.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
eps
(fma.f64 eps (*.f64 x x) eps)

Outputs
(fma.f64 eps (*.f64 x x) eps)

Calls

3 calls:

1.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	eps
1.0ms	x

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`eps`
98.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0%)

Memory

-29.4MiB live, 9.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
eps

Outputs
eps

Calls

3 calls:

2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	eps
1.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`eps`
98.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify8.0ms (0%)

Memory

14.4MiB live, 14.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	107
1	53	107

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 eps (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x)) eps)
(fma.f64 eps (fma.f64 x (+.f64 x eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (*.f64 x (+.f64 x eps)) eps)
(fma.f64 eps (*.f64 x x) eps)
eps

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

soundness1.1s (6%)

Memory

12.1MiB live, 836.7MiB allocated

Rules

14 592×	`accelerator-lowering-fma.f32`
14 592×	`accelerator-lowering-fma.f64`
11 350×	`accelerator-lowering-fma.f32`
11 350×	`accelerator-lowering-fma.f64`
10 074×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	959	9559
1	3303	9340
0	8211	8782
0	157	1351
1	464	1285
2	1534	1274
3	5949	1242
0	8534	1195
0	739	12130
1	2355	11822
2	7876	11750
0	8077	11284
0	6	16
1	46	16
2	398	16
3	6123	16
0	8101	16
0	698	8263
1	2319	7935
0	8107	7520

Stop Event

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

Compiler

Compiled 331 to 174 computations (47.4% saved)

preprocess136.0ms (0.8%)

Memory: 16.6MiB live, 168.3MiB allocated
Compiler: Compiled 318 to 140 computations (56% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	21	46
1	43	42
2	92	42
3	181	42
4	321	42
5	398	42
6	483	42
7	525	42
8	534	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	7

Iter	Nodes	Cost
0	6	18
1	9	18
2	14	18
3	20	18
4	28	18
5	43	18
6	76	18
7	101	18
8	144	18
9	159	18
10	167	18
0	167	18

Iter	Nodes	Cost
0	21	46
1	43	42
2	92	42
3	181	42
4	321	42
5	398	42
6	483	42
7	525	42
8	534	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	7

Iter	Nodes	Cost
0	6	18
1	9	18
2	14	18
3	20	18
4	28	18
5	43	18
6	76	18
7	101	18
8	144	18
9	159	18
10	167	18
0	167	18

analyze64.0ms (0.4%)

sample7.6s (43.3%)

preprocess28.0ms (0.2%)

explain92.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize26.0ms (0.1%)

series11.0ms (0.1%)

rewrite334.0ms (1.9%)

simplify443.0ms (2.5%)

eval65.0ms (0.4%)

prune56.0ms (0.3%)

simplify514.0ms (2.9%)

localize288.0ms (1.6%)

series90.0ms (0.5%)

rewrite468.0ms (2.7%)

simplify554.0ms (3.2%)

eval334.0ms (1.9%)

prune209.0ms (1.2%)

simplify450.0ms (2.6%)

localize338.0ms (1.9%)

series99.0ms (0.6%)

rewrite516.0ms (2.9%)

simplify539.0ms (3.1%)

eval227.0ms (1.3%)

prune221.0ms (1.3%)

simplify375.0ms (2.1%)

localize232.0ms (1.3%)

series54.0ms (0.3%)

rewrite599.0ms (3.4%)

simplify541.0ms (3.1%)

eval211.0ms (1.2%)

prune494.0ms (2.8%)

regimes66.0ms (0.4%)

regimes34.0ms (0.2%)

regimes32.0ms (0.2%)

regimes30.0ms (0.2%)

regimes29.0ms (0.2%)

regimes30.0ms (0.2%)

regimes11.0ms (0.1%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

simplify8.0ms (0%)

soundness1.1s (6%)

preprocess136.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	46
1	43	42
2	92	42
3	181	42
4	321	42
5	398	42
6	483	42
7	525	42
8	534	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	7

Iter	Nodes	Cost
0	6	18
1	9	18
2	14	18
3	20	18
4	28	18
5	43	18
6	76	18
7	101	18
8	144	18
9	159	18
10	167	18
0	167	18