Metrics for 2tan (problem 3.3.2)

analyze48.0ms (0.3%)

Memory

30.9MiB live, 69.8MiB 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)

sample6.8s (44.1%)

Memory

122.7MiB live, 8 525.5MiB allocated

Samples

3.5s	26 090×	0	invalid
812.0ms	5 569×	0	valid
726.0ms	2 687×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.6s

ival-tan: 723.0ms (19.8% of total)

const: 616.0ms (16.9% of total)

ival-add: 489.0ms (13.4% of total)

ival-mult: 424.0ms (11.6% of total)

ival-<=: 320.0ms (8.8% of total)

ival-sub: 307.0ms (8.4% of total)

ival-fabs: 277.0ms (7.6% of total)

ival-<: 257.0ms (7% of total)

ival-and: 99.0ms (2.7% of total)

adjust: 80.0ms (2.2% of total)

exact: 44.0ms (1.2% of total)

ival-assert: 12.0ms (0.3% of total)

Bogosity

preprocess28.0ms (0.2%)

Memory

-21.0MiB live, 22.9MiB 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))

explain94.0ms (0.6%)

Memory

34.0MiB live, 147.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
222	3	(2.387629466703073e-270 6.323919630425219e-273)	4	(4.022650708386591e-65 5.599523165333559e-67)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
3	1	(452.1677815145183 308.6678353255072)	1	(66.68374274362472 0.00010012846265434226)	`(tan.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(tan.f64 x)`
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	221	8
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	3	2

Confusion

	Predicted +	Predicted -
+	219	4
-	4	29

Precision

0.9820627802690582

Recall

0.9820627802690582

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	219	4	0
-	4	4	25

Precision?

0.9653679653679653

Recall?

1.0

Freqs

test

number	freq
0	33
1	222
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms	344×	0	valid
17.0ms	164×	1	valid
5.0ms	2×	3	valid
0.0ms	2×	2	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-tan: 14.0ms (54.8% of total)

ival-sub: 5.0ms (19.6% of total)

adjust: 3.0ms (11.7% of total)

ival-add: 3.0ms (11.7% 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.1%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory

-31.8MiB 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)

localize28.0ms (0.2%)

Memory

-0.1MiB live, 38.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	99.8%	(tan.f64 (+.f64 x eps))
✓	accuracy	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

8.0ms	82×	1	valid
8.0ms	172×	0	valid
4.0ms	1×	3	valid
0.0ms	1×	2	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-tan: 9.0ms (67.2% of total)

adjust: 2.0ms (14.9% of total)

ival-add: 2.0ms (14.9% of total)

ival-sub: 1.0ms (7.5% of total)

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

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

series11.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB 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	@	inf	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	0	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	-inf	(- (tan (+ x eps)) (tan x))

rewrite516.0ms (3.3%)

Memory

-368.0MiB live, 445.4MiB 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)) (neg.f64 (tan.f64 x)))
(+.f64 (neg.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)))) (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) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) #s(literal 0 binary64)) (tan.f64 x))
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(/.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 (neg.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))))))
(.f64 (neg.f64 (.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.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 (neg.f64 (log.f64 (tan.f64 x))) #s(literal -1 binary64)))
(tan.f64 x)
(neg.f64 (neg.f64 (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 (neg.f64 (sin.f64 x)) (neg.f64 (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 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (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 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

simplify404.0ms (2.6%)

Memory

-18.4MiB live, 544.1MiB 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)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) x))
(+ (* 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)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (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))))) (/ (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))))
(fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (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)) (.f64 x (.f64 x x)) 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))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval42.0ms (0.3%)

Memory: 1.4MiB live, 79.2MiB allocated
Compiler: Compiled 8 660 to 987 computations (88.6% saved)

prune59.0ms (0.4%)

Memory

6.9MiB live, 121.9MiB allocated

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	317	26	343
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	317	27	344

Accuracy

100.0%

Counts

344 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
	63.3%	(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
	63.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	63.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	63.1%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
	99.1%	(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)
	99.2%	(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)
▶	99.2%	(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)
	98.5%	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
	63.3%	(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
	26.6%	(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (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))))
▶	61.9%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
▶	63.1%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
▶	96.7%	(/.f64 (sin.f64 eps) (cos.f64 eps))
	63.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	63.3%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	62.5%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
	38.4%	(-.f64 (tan.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (neg.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))))) (tan.f64 x))
	16.2%	(-.f64 (tan.f64 (/.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)))) (tan.f64 x))
	61.5%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
	61.6%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
	61.2%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
✓	63.1%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	60.4%	(-.f64 (tan.f64 (+.f64 x eps)) x)
	5.3%	(-.f64 (tan.f64 x) (tan.f64 x))
	7.7%	(-.f64 (tan.f64 eps) (tan.f64 x))
	26.6%	(*.f64 (/.f64 #s(literal 1 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 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))

Compiler

Compiled 1 481 to 660 computations (55.4% saved)

simplify317.0ms (2%)

Memory

-11.1MiB live, 386.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))
✓	cost-diff	6720	(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	7040	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	7488	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(sin.f64 (-.f64 (+.f64 x eps) x))
✓	cost-diff	0	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
✓	cost-diff	384	(-.f64 (+.f64 x eps) 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	0	(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))))
✓	cost-diff	0	(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)
✓	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)))

Rules

10 882×	`accelerator-lowering-fma.f32`
10 882×	`accelerator-lowering-fma.f64`
4 184×	`-lowering-.f32`
4 184×	`-lowering-.f64`
1 982×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	611
1	134	523
2	387	508
3	1305	499
4	5101	499
0	8255	485

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize245.0ms (1.6%)

Memory

52.6MiB live, 397.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 (tan.f64 x) (tan.f64 eps))
✓	accuracy	99.5%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	accuracy	99.4%	(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	accuracy	63.1%	(-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
✓	accuracy	100.0%	(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
✓	accuracy	99.8%	(cos.f64 (+.f64 x eps))
✓	accuracy	63.1%	(-.f64 (+.f64 x eps) x)
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	100.0%	(/.f64 (sin.f64 eps) (cos.f64 eps))
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	99.8%	(tan.f64 (+.f64 x eps))
✓	accuracy	64.3%	(-.f64 (tan.f64 (+.f64 x eps)) x)
✓	accuracy	99.9%	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	accuracy	99.9%	(pow.f64 (sin.f64 x) #s(literal 4 binary64))
✓	accuracy	99.8%	(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))))
✓	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

69.0ms	169×	0	valid
63.0ms	76×	1	valid
16.0ms	9×	2	valid
9.0ms	1×	3	valid
4.0ms	1×	4	valid

Compiler

Compiled 612 to 57 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-div: 20.0ms (15.8% of total)

ival-add: 18.0ms (14.2% of total)

ival-mult: 18.0ms (14.2% of total)

ival-tan: 16.0ms (12.6% of total)

adjust: 13.0ms (10.3% of total)

ival-pow: 9.0ms (7.1% of total)

ival-sin: 8.0ms (6.3% of total)

ival-sub: 7.0ms (5.5% of total)

ival-pow2: 6.0ms (4.7% of total)

ival-cos: 6.0ms (4.7% of total)

const: 5.0ms (3.9% of total)

exact: 1.0ms (0.8% of total)

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

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

series90.0ms (0.6%)

Memory

-28.9MiB live, 134.3MiB allocated

Counts

22 → 444

Calls

Call 1

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

Outputs
#<alt -1/2>
#<alt (- (* -1/3 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt -1/3>
#<alt (- (* -1/3 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/3)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 3) (- (+ 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 (* (pow eps 3) (- (+ 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))))))>
#<alt (* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (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))))))>
#<alt (* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (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))))))>
#<alt (* (pow eps 3) (- (+ 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 (* (pow eps 3) (+ (* -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)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -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 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -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 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps)))))>
#<alt (+ eps (* 1/3 (pow eps 3)))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2)))))>
#<alt (+ eps (* eps (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (+ eps (* eps (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (+ (* eps (+ (/ (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 (+ (/ (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 (+ (/ (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 eps 2) (- (+ 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 (* (pow eps 2) (- (+ 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))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (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))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (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))))))>
#<alt (* (pow eps 2) (- (+ 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 (* (pow eps 2) (- (+ 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))))))>
#<alt (* (pow eps 2) (- (+ 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))))))>
#<alt (* (pow eps 2) (- (+ 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))))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* eps x))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))))>
#<alt (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* 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 (* -1 x)>
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#<alt (* x (- (/ (sin (+ eps x)) (* x (cos (+ eps x)))) 1))>
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#<alt (* -1 x)>
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#<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))) 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))) x)>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) x)>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) x)>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) x)>
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#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) 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))>
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#<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)))>
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#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
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#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
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#<alt (* eps (+ 1 (/ x eps)))>
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#<alt eps>
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#<alt eps>
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#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt eps>
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#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt 1>
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#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt eps>
#<alt eps>
#<alt eps>
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#<alt eps>
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#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
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#<alt eps>
#<alt eps>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))>
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))>
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#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))>
#<alt (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))>
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#<alt (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ eps (pow (cos x) 2))>
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#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))>
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#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
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#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin (neg (* -1 eps)))>
#<alt (sin (neg (* -1 eps)))>
#<alt (sin (neg (* -1 eps)))>
#<alt (sin (neg (* -1 eps)))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (* x (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (cos x))>
#<alt (* eps (+ (/ (* eps (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (pow (cos x) 2)) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (* eps (+ (* eps (- (* eps (- (/ (* (sin x) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (/ (* (sin x) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (cos x))) (* -1/3 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2)))))) (/ (* (sin x) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (cos x))) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))) x)>
#<alt (/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 x)))) x)>
#<alt (/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* -1/45 (pow x 2)) 1/3))))) x)>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (+ (* -1 eps) (/ (cos x) (sin x)))>
#<alt (+ (* eps (- (* -1/3 (pow eps 2)) 1)) (/ (cos x) (sin x)))>
#<alt (+ (* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1)) (/ (cos x) (sin x)))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (sin eps) (* x (cos eps)))>
#<alt (/ (+ x (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* x (+ 1 (* -1/3 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* x (+ 1 (* x (- (* -1 (* (pow x 2) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (* 1/3 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt 1>
#<alt (+ 1 (/ (* eps (cos x)) (sin x)))>
#<alt (+ 1 (* eps (+ (* 1/3 (/ (* (pow eps 2) (cos x)) (sin x))) (/ (cos x) (sin x)))))>
#<alt (+ 1 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (cos x)) (sin x))) (* 1/3 (/ (cos x) (sin x))))) (/ (cos x) (sin x)))))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))>
#<alt (/ (sin eps) (* x (cos eps)))>
#<alt (/ (+ (* (pow x 2) (- (/ (sin eps) (cos eps)) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* (pow x 2) (- (+ (* (pow x 2) (- (* 1/3 (/ (sin eps) (cos eps))) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (/ (sin eps) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* (pow x 2) (- (+ (* (pow x 2) (- (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 2/15 (/ (sin eps) (cos eps))) (+ (* -1/3 (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))) (+ (* -2/45 (/ (sin eps) (cos eps))) (* 17/315 (/ (sin eps) (cos eps)))))))) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (/ (sin eps) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 2/15 (/ (cos x) (sin x))) (* 2/15 (/ (sin x) (cos x)))))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 2/15 (/ (cos x) (sin x))) (+ (* 2/15 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (cos x) (sin x))) (* 17/315 (/ (sin x) (cos x))))))))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* -2/3 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))>
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))>
#<alt (pow (sin x) 4)>
#<alt (pow (sin x) 4)>
#<alt (pow (sin x) 4)>
#<alt (pow (sin x) 4)>
#<alt (pow (sin x) 4)>
#<alt (pow (sin x) 4)>
#<alt (pow (sin x) 4)>
#<alt (pow (sin x) 4)>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 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 (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))>
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (pow (cos x) 2)>
#<alt (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))>
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))>
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ x (/ (sin eps) (cos eps)))>
#<alt (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (/ (sin x) (cos x))>
#<alt (+ eps (/ (sin x) (cos x)))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>

Calls

111 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	(+ (* eps (+ (* eps (+ (* 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) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)
11.0ms	eps	@	inf	(/ (- (* (+ (tan x) (tan eps)) (/ 1 (tan x))) (* (- 1 (* (tan x) (tan eps))) 1)) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))
8.0ms	x	@	inf	(+ (* eps (+ (* eps (+ (* 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) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)
6.0ms	x	@	inf	(+ (* 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	@	inf	(/ (- (* (+ (tan x) (tan eps)) (/ 1 (tan x))) (* (- 1 (* (tan x) (tan eps))) 1)) (* (- 1 (* (tan x) (tan eps))) (/ 1 (tan x))))

rewrite362.0ms (2.3%)

Memory

31.0MiB live, 460.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 606×	`-lowering-.f32`
4 606×	`-lowering-.f64`
3 760×	`accelerator-lowering-fma.f32`
3 760×	`accelerator-lowering-fma.f64`
3 498×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	339
1	407	251
2	4166	245
0	9133	234

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 505

Calls

Call 1

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

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

simplify450.0ms (2.9%)

Memory

3.6MiB live, 591.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 374×	`accelerator-lowering-fma.f32`
10 374×	`accelerator-lowering-fma.f64`
6 672×	`-lowering-.f32`
6 672×	`-lowering-.f64`
3 954×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	679	8107
1	2151	7941
2	7117	7850
0	8103	7532

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
-1/2
(- (* -1/3 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
-1/3
(- (* -1/3 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (pow eps 3) (- (+ 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))))))
(* (pow eps 3) (- (+ 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))))))
(* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (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))))))
(* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (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))))))
(* (pow eps 3) (- (+ 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 (* (pow eps 3) (+ (* -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)))))
(* -1 (* (pow eps 3) (+ (* -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 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps)))))
(* -1 (* (pow eps 3) (+ (* -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 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps)))))
(+ eps (* 1/3 (pow eps 3)))
(+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))
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(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* x (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (cos x))
(* eps (+ (/ (* eps (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (pow (cos x) 2)) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))
(* eps (+ (* eps (- (* eps (- (/ (* (sin x) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (/ (* (sin x) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (cos x))) (* -1/3 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2)))))) (/ (* (sin x) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (cos x))) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))) x)
(/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 x)))) x)
(/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* -1/45 (pow x 2)) 1/3))))) x)
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (cos x) (sin x))
(+ (* -1 eps) (/ (cos x) (sin x)))
(+ (* eps (- (* -1/3 (pow eps 2)) 1)) (/ (cos x) (sin x)))
(+ (* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1)) (/ (cos x) (sin x)))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/ (sin eps) (* x (cos eps)))
(/ (+ x (/ (sin eps) (cos eps))) x)
(/ (+ (* x (+ 1 (* -1/3 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/ (+ (* x (+ 1 (* x (- (* -1 (* (pow x 2) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (* 1/3 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))) x)
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
1
(+ 1 (/ (* eps (cos x)) (sin x)))
(+ 1 (* eps (+ (* 1/3 (/ (* (pow eps 2) (cos x)) (sin x))) (/ (cos x) (sin x)))))
(+ 1 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (cos x)) (sin x))) (* 1/3 (/ (cos x) (sin x))))) (/ (cos x) (sin x)))))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (sin x))
(/ (sin eps) (* x (cos eps)))
(/ (+ (* (pow x 2) (- (/ (sin eps) (cos eps)) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/ (+ (* (pow x 2) (- (+ (* (pow x 2) (- (* 1/3 (/ (sin eps) (cos eps))) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (/ (sin eps) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/ (+ (* (pow x 2) (- (+ (* (pow x 2) (- (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 2/15 (/ (sin eps) (cos eps))) (+ (* -1/3 (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))) (+ (* -2/45 (/ (sin eps) (cos eps))) (* 17/315 (/ (sin eps) (cos eps)))))))) (+ (* -1/9 (/ (sin eps) (cos eps))) (* 2/15 (/ (sin eps) (cos eps)))))) (/ (sin eps) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (* 1/3 (/ (sin x) (cos x))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 2/15 (/ (cos x) (sin x))) (* 2/15 (/ (sin x) (cos x)))))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (cos x) (sin x))) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 2/15 (/ (cos x) (sin x))) (+ (* 2/15 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (cos x) (sin x))) (* 17/315 (/ (sin x) (cos x))))))))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(pow x 4)
(* (pow x 4) (+ 1 (* -2/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 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)))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (- eps (* -1 x))))
(* (cos x) (cos (- eps (* -1 x))))
(* (cos x) (cos (- eps (* -1 x))))
(* (cos x) (cos (- eps (* -1 x))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(* (cos x) (cos (- x (* -1 eps))))
(* (cos x) (cos (- x (* -1 eps))))
(* (cos x) (cos (- x (* -1 eps))))
(/ (sin eps) (cos eps))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(/ (sin x) (cos x))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* -1/3 (pow x 2)) 1/2)
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -2/9 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/135 binary64) #s(literal -2/9 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(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))) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(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))) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(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))) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(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))) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(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))) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(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))) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(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))) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(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))) #s(literal -1/2 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* -1/3 (pow x 2)) 1/3)
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/3)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -2/9 binary64) #s(literal -1/3 binary64))) #s(literal -1/3 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/135 binary64) #s(literal -2/9 binary64)) #s(literal -1/3 binary64)) #s(literal -1/3 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(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))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(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))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(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))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(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))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(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))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(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))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(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))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(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 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps)
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (fma.f64 eps (+.f64 (fma.f64 eps (fma.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (+.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)))))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* eps (+ 1 (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (fma.f64 eps (+.f64 (fma.f64 eps (fma.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (+.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)))))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* (pow eps 3) (- (+ 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))))))
(.f64 (fma.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (+.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 eps (*.f64 eps eps)))
(* (pow eps 3) (- (+ 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))))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (/.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 #s(literal 1/3 binary64) (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) eps))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps)))))
(* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (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))))))
(.f64 eps (.f64 (.f64 eps eps) (fma.f64 (/.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 #s(literal 1/3 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) eps)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 eps eps))))) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps)))))))
(* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (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))))))
(.f64 eps (.f64 (.f64 eps eps) (fma.f64 (/.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 #s(literal 1/3 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) eps)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 eps eps))))) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps)))))))
(* (pow eps 3) (- (+ 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))))))
(.f64 (fma.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (+.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 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ (* -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)))))
(neg.f64 (.f64 (neg.f64 (.f64 eps (*.f64 eps eps))) (+.f64 (fma.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (+.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 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps))))
(* -1 (* (pow eps 3) (+ (* -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 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps)))))
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(* -1 (* (pow eps 3) (+ (* -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 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps)))))
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(+ eps (* 1/3 (pow eps 3)))
(fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps)
(+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))
(fma.f64 x (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (*.f64 eps eps)) eps))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))
(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2)))))
(fma.f64 x (fma.f64 x (.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64))) (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps))) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (*.f64 eps eps)) eps))
(+ eps (* eps (+ (* eps (+ (* 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))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(fma.f64 (cos.f64 x) (/.f64 eps (sin.f64 x)) #s(literal 1 binary64))
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(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ x (/ (sin eps) (cos eps)))
(+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(fma.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 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+ eps (/ (sin x) (cos x)))
(+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(fma.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))

eval185.0ms (1.2%)

Memory: 9.8MiB live, 329.2MiB allocated
Compiler: Compiled 48 305 to 3 139 computations (93.5% saved)

prune122.0ms (0.8%)

Memory

-11.6MiB live, 259.9MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1 123	14	1 137
Fresh	15	6	21
Picked	5	0	5
Done	0	1	1
Total	1 143	21	1 164

Accuracy

100.0%

Counts

1 164 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	63.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	97.6%	(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps))
	97.6%	(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
▶	97.6%	(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
	96.6%	(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	99.0%	(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	96.6%	(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
▶	99.5%	(/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
▶	99.2%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	38.2%	(/.f64 (sin.f64 (/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 x eps) (neg.f64 x)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	38.4%	(/.f64 (sin.f64 (.f64 (.f64 (+.f64 x (+.f64 x eps)) (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x eps))))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	98.5%	(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
	99.1%	(/.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	63.3%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	62.5%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
	61.6%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
✓	63.1%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	7.7%	(-.f64 (tan.f64 eps) (tan.f64 x))
	96.7%	(tan.f64 eps)
▶	96.7%	eps

Compiler

Compiled 709 to 404 computations (43% saved)

simplify319.0ms (2.1%)

Memory

7.5MiB live, 416.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps)
✓	cost-diff	0	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(tan.f64 eps)
✓	cost-diff	0	(-.f64 (tan.f64 eps) (tan.f64 x))
✓	cost-diff	0	(fma.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓	cost-diff	0	(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
✓	cost-diff	64	(fma.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)) #s(literal 1 binary64)) eps)
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	384	(/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	cost-diff	7040	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	12928	(fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))))

Rules

11 510×	`accelerator-lowering-fma.f32`
11 510×	`accelerator-lowering-fma.f64`
3 340×	`-lowering-.f32`
3 340×	`-lowering-.f64`
2 708×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	290
1	118	282
2	314	264
3	775	260
4	2249	258
5	5792	258
6	6800	258
0	8117	249

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize198.0ms (1.3%)

Memory

-10.8MiB live, 149.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
✓	accuracy	100.0%	(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
✓	accuracy	99.8%	(cos.f64 (+.f64 x eps))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(tan.f64 eps)
✓	accuracy	100.0%	(-.f64 (tan.f64 eps) (tan.f64 x))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)) #s(literal 1 binary64)) eps)
✓	accuracy	99.8%	(fma.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓	accuracy	99.8%	(*.f64 eps (+.f64 x eps))
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
✓	accuracy	100.0%	(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	accuracy	99.9%	(/.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)))
✓	accuracy	99.5%	(/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))

Samples

96.0ms	248×	0	valid
13.0ms	4×	3	valid
5.0ms	3×	2	valid
1.0ms	1×	1	valid

Compiler

Compiled 278 to 45 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 22.0ms (23.4% of total)

ival-div: 21.0ms (22.4% of total)

ival-tan: 16.0ms (17% of total)

ival-cos: 11.0ms (11.7% of total)

const: 9.0ms (9.6% of total)

ival-add: 8.0ms (8.5% of total)

ival-sin: 4.0ms (4.3% of total)

ival-sub: 2.0ms (2.1% of total)

adjust: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series80.0ms (0.5%)

Memory

3.0MiB live, 40.3MiB allocated

Counts

22 → 432

Calls

Call 1

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

Outputs
#<alt (/ (sin eps) (* x (cos eps)))>
#<alt (/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* (pow x 2) (- (+ (* -1/6 (/ (sin eps) (cos eps))) (* 1/24 (/ (sin eps) (cos eps)))) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* (pow x 2) (- (+ (* -1/6 (/ (sin eps) (cos eps))) (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* -1/720 (/ (sin eps) (cos eps))) (* 1/120 (/ (sin eps) (cos eps)))) (+ (* -1/2 (- (* -1/6 (/ (sin eps) (cos eps))) (* -1/2 (/ (sin eps) (cos eps))))) (+ (* -1/6 (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps)))))) (+ (* -1/5040 (/ (sin eps) (cos eps))) (+ (* 1/120 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/24 (/ (sin eps) (cos eps))))))))))) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))>
#<alt (* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (+ (* -1/6 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* 1/120 (/ (cos x) (sin x))) (* 1/120 (/ (sin x) (cos x)))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (+ (* 1/24 (/ (cos x) (sin x))) (* 1/24 (/ (sin x) (cos x)))))))))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (+ (* -1/6 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* 1/120 (/ (cos x) (sin x))) (+ (* 1/120 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* -1/5040 (/ (cos x) (sin x))) (* -1/5040 (/ (sin x) (cos x)))) (+ (* -1/2 (- (* 1/120 (/ (cos x) (sin x))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (* 1/24 (/ (cos x) (sin x)))))) (+ (* -1/2 (- (* 1/120 (/ (sin x) (cos x))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (* 1/24 (/ (sin x) (cos x)))))) (+ (* -1/720 (/ (cos x) (sin x))) (+ (* -1/720 (/ (sin x) (cos x))) (+ (* 1/24 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (* 1/24 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x)))))))))))))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (+ (* 1/24 (/ (cos x) (sin x))) (* 1/24 (/ (sin x) (cos x)))))))))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))) x)>
#<alt (/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 x)))) x)>
#<alt (/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* -1/45 (pow x 2)) 1/3))))) x)>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (+ (* -1 eps) (/ (cos x) (sin x)))>
#<alt (+ (* eps (- (* -1/3 (pow eps 2)) 1)) (/ (cos x) (sin x)))>
#<alt (+ (* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1)) (/ (cos x) (sin x)))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (* x (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/6 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/6 (/ (sin eps) (cos eps)))))) (cos eps))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/6 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* eps (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (cos x))>
#<alt (* eps (+ (/ (* eps (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (pow (cos x) 2)) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (* eps (+ (* eps (- (* eps (- (/ (* (sin x) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (/ (* (sin x) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (cos x))) (* -1/3 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2)))))) (/ (* (sin x) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (cos x))) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt (/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt eps>
#<alt (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))>
#<alt (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))>
#<alt (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (/ eps (pow x 2))))))>
#<alt (* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (+ (/ 1 x) (/ eps (pow x 2))))))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (/ 1 x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x))) x)) (* 4/3 eps)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x))) x)) (* 4/3 eps)))>
#<alt x>
#<alt (+ x (* eps (+ 1 (* 4/3 (pow x 2)))))>
#<alt (+ x (* eps (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow x 2))))))>
#<alt (+ x (* eps (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow x 2))))))>
#<alt (* 4/3 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 4/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* 4/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (/ 1 eps) (/ x (pow eps 2))))))>
#<alt (* (pow eps 2) (+ (* 4/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (+ (/ 1 eps) (/ x (pow eps 2))))))>
#<alt (* 4/3 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -4/3 (pow x 2)) 1) eps)) (* 4/3 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1) eps)) (* 4/3 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1) eps)) (* 4/3 x)))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))>
#<alt (* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2)))))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2)))))))>
#<alt (* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (/ (* x (- (* -4/3 (pow x 2)) 1)) eps))))>
#<alt (* -1 (* (pow eps 3) (+ (* -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)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -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)))))>
#<alt (+ eps (* 1/3 (pow eps 3)))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2)))))>
#<alt (* 4/3 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))>
#<alt (* (pow x 3) (+ (* 4/3 (pow eps 2)) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (pow eps 2) (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 3))) (+ (* 4/3 (pow eps 2)) (+ (/ eps (pow x 3)) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (pow eps 2) (pow x 2)))))))>
#<alt (* 4/3 (* (pow eps 2) (pow x 3)))>
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#<alt (* -1 (* (pow x 3) (+ (* -4/3 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)) (* -1 (pow eps 2))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))) x)))))>
#<alt (* 1/3 (pow eps 2))>
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#<alt (* 4/3 (* eps (pow x 3)))>
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#<alt (pow x 2)>
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#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))>
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#<alt (* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2)))))>
#<alt 1>
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#<alt (+ 1 (* eps (+ (* 4/3 eps) (* 4/3 x))))>
#<alt (* 4/3 (pow eps 2))>
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#<alt (* 4/3 (pow eps 2))>
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#<alt (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))>
#<alt (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))>
#<alt (* 4/3 (* eps x))>
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#<alt (* x (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (/ 1 x))))>
#<alt (* x (+ (* 4/3 eps) (+ (* 4/3 (/ (pow eps 2) x)) (/ 1 x))))>
#<alt (* 4/3 (* eps x))>
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#<alt (* -1 (* x (+ (* -4/3 eps) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))>
#<alt (* -1 (* x (+ (* -4/3 eps) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))>
#<alt (* -1 (/ (sin x) (cos x)))>
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#<alt (- (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (- (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
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#<alt (- (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
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#<alt (- (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
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#<alt (- (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (* -1 x) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* -1/3 (pow x 2)) 1)) (/ (sin eps) (cos eps)))>
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#<alt (- (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (- (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (- (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt eps>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt 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))>
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#<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 (/ eps (pow (cos x) 2))>
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#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* -1/6 (/ (pow eps 3) (* (cos x) (cos (+ eps x)))))>
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#<alt (* -1/6 (/ (pow eps 3) (* (cos x) (cos (- x (* -1 eps))))))>
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#<alt (/ (+ eps (* -1/6 (pow eps 3))) (cos eps))>
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#<alt (+ (* -1/6 (/ (pow eps 3) (cos eps))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* -1/6 (pow eps 3))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 2))))) (/ eps (cos eps))))>
#<alt (+ (* -1/6 (/ (pow eps 3) (cos eps))) (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* -1/6 (pow eps 3))) (cos eps))))) (cos eps)) (/ (* (+ eps (* -1/6 (pow eps 3))) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* -1/6 (pow eps 3))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 2))))) (/ eps (cos eps))))>
#<alt (/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (+ eps x))))>
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#<alt (/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt eps>
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#<alt (* -1/6 (pow eps 2))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
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#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
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#<alt (/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps)))))) (+ (* -1/5040 (/ (sin eps) (cos eps))) (* 1/120 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps)))))))))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps))))))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
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#<alt (/ (* eps (cos x)) (sin x))>
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#<alt (* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (* (pow eps 2) (- (* 1/120 (/ (cos x) (sin x))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (* 1/24 (/ (cos x) (sin x))))))) (* -1/2 (/ (cos x) (sin x))))) (/ (cos x) (sin x))))>
#<alt (* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (* (pow eps 2) (- (+ (* 1/120 (/ (cos x) (sin x))) (* (pow eps 2) (- (* -1/5040 (/ (cos x) (sin x))) (+ (* -1/2 (- (* 1/120 (/ (cos x) (sin x))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (* 1/24 (/ (cos x) (sin x)))))) (+ (* -1/720 (/ (cos x) (sin x))) (* 1/24 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x)))))))))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (* 1/24 (/ (cos x) (sin x))))))) (* -1/2 (/ (cos x) (sin x))))) (/ (cos x) (sin x))))>
#<alt (/ (* (cos x) (sin eps)) (* (cos eps) (sin x)))>
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#<alt (/ 1 x)>
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#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
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#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ eps (cos x))>
#<alt (* eps (+ (* 1/3 (/ (pow eps 2) (cos x))) (/ 1 (cos x))))>
#<alt (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (pow eps 2) (cos x))) (* 1/3 (/ 1 (cos x))))) (/ 1 (cos x))))>
#<alt (* eps (+ (* (pow eps 2) (+ (* (pow eps 2) (+ (* 17/315 (/ (pow eps 2) (cos x))) (* 2/15 (/ 1 (cos x))))) (* 1/3 (/ 1 (cos x))))) (/ 1 (cos x))))>
#<alt (/ (sin eps) (* (cos eps) (cos x)))>
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#<alt (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (/ (sin eps) (cos eps))) (+ (* 1/48 (/ (sin eps) (cos eps))) (* 1/2 (+ (* -1/4 (/ (sin eps) (cos eps))) (* 1/24 (/ (sin eps) (cos eps))))))))) (+ (* -1/4 (/ (sin eps) (cos eps))) (* 1/24 (/ (sin eps) (cos eps)))))) (* -1/2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))>
#<alt (/ (sin eps) (* (cos eps) (cos x)))>
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#<alt (* 1/3 (pow eps 2))>
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#<alt (* eps x)>
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#<alt (pow eps 2)>
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#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (pow eps 2)>
#<alt (+ (* eps x) (pow eps 2))>
#<alt (+ (* eps x) (pow eps 2))>
#<alt (+ (* eps x) (pow eps 2))>
#<alt (* eps x)>
#<alt (* x (+ eps (/ (pow eps 2) x)))>
#<alt (* x (+ eps (/ (pow eps 2) x)))>
#<alt (* x (+ eps (/ (pow eps 2) x)))>
#<alt (* eps x)>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (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 (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))>
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (pow (cos x) 2)>
#<alt (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))>
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))>
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>

Calls

108 calls:

Time	Variable		Point	Expression
38.0ms	x	@	inf	(/ (+ (* eps (* (* eps eps) -1/6)) eps) (* (cos x) (cos (+ x eps))))
2.0ms	eps	@	0	(+ (* eps (+ (* x (+ (* x (+ (* 4/3 (* eps (+ x eps))) 1)) eps)) (* 1/3 (* eps eps)))) eps)
2.0ms	eps	@	0	(+ (* (sin x) (/ (sin eps) (* (cos x) (cos eps)))) (/ (* (cos x) (sin eps)) (* (sin x) (cos eps))))
2.0ms	x	@	-inf	(+ (* (sin x) (/ (sin eps) (* (cos x) (cos eps)))) (/ (* (cos x) (sin eps)) (* (sin x) (cos eps))))
2.0ms	eps	@	inf	(+ (* (sin x) (/ (sin eps) (* (cos x) (cos eps)))) (/ (* (cos x) (sin eps)) (* (sin x) (cos eps))))

rewrite725.0ms (4.7%)

Memory

-20.0MiB live, 404.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 920×	`accelerator-lowering-fma.f32`
6 920×	`accelerator-lowering-fma.f64`
5 314×	`/-lowering-/.f32`
5 314×	`/-lowering-/.f64`
5 194×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	215
1	270	193
2	2584	193
0	9720	179

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 743

Calls

Call 1

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

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

simplify482.0ms (3.1%)

Memory

-11.0MiB live, 745.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 350×	`accelerator-lowering-fma.f32`
12 350×	`accelerator-lowering-fma.f64`
7 764×	`-lowering-.f32`
7 764×	`-lowering-.f64`
5 550×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	840	7341
1	2801	6953
0	8769	6605

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

Outputs
(/ (sin eps) (* x (cos eps)))
(/.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/.f64 (fma.f64 (.f64 x x) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 2/3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x)
(/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* (pow x 2) (- (+ (* -1/6 (/ (sin eps) (cos eps))) (* 1/24 (/ (sin eps) (cos eps)))) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/.f64 (fma.f64 (.f64 x x) (+.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3/8 binary64)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/18 binary64) (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 eps)) (cos.f64 eps)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1/3 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) x)
(/ (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* (pow x 2) (- (+ (* -1/6 (/ (sin eps) (cos eps))) (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* -1/720 (/ (sin eps) (cos eps))) (* 1/120 (/ (sin eps) (cos eps)))) (+ (* -1/2 (- (* -1/6 (/ (sin eps) (cos eps))) (* -1/2 (/ (sin eps) (cos eps))))) (+ (* -1/6 (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps)))))) (+ (* -1/5040 (/ (sin eps) (cos eps))) (+ (* 1/120 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/24 (/ (sin eps) (cos eps))))))))))) (+ (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1/6 (- (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 (/ (sin eps) (cos eps))))) (* 1/120 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))) (* -1/6 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))) x)
(/.f64 (fma.f64 (.f64 x x) (+.f64 (fma.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 x x) (-.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/144 binary64) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/6 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 eps)) (cos.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/18 binary64) (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 eps)) (cos.f64 eps)))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1/5040 binary64) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1/360 binary64)))))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1/8 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/18 binary64) (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 eps)) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1/3 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) x)
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(* eps (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))
(*.f64 eps (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))))
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(.f64 eps (fma.f64 (.f64 eps eps) (*.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (+ (* -1/6 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* 1/120 (/ (cos x) (sin x))) (* 1/120 (/ (sin x) (cos x)))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (+ (* 1/24 (/ (cos x) (sin x))) (* 1/24 (/ (sin x) (cos x)))))))))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))) (-.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (sin.f64 x))))) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (/ (cos x) (sin x))) (+ (* -1/6 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* 1/120 (/ (cos x) (sin x))) (+ (* 1/120 (/ (sin x) (cos x))) (* (pow eps 2) (- (+ (* -1/5040 (/ (cos x) (sin x))) (* -1/5040 (/ (sin x) (cos x)))) (+ (* -1/2 (- (* 1/120 (/ (cos x) (sin x))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (* 1/24 (/ (cos x) (sin x)))))) (+ (* -1/2 (- (* 1/120 (/ (sin x) (cos x))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (* 1/24 (/ (sin x) (cos x)))))) (+ (* -1/720 (/ (cos x) (sin x))) (+ (* -1/720 (/ (sin x) (cos x))) (+ (* 1/24 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (* 1/24 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x)))))))))))))) (+ (* -1/2 (- (* -1/6 (/ (cos x) (sin x))) (* -1/2 (/ (cos x) (sin x))))) (+ (* -1/2 (- (* -1/6 (/ (sin x) (cos x))) (* -1/2 (/ (sin x) (cos x))))) (+ (* 1/24 (/ (cos x) (sin x))) (* 1/24 (/ (sin x) (cos x)))))))))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 x)) (sin.f64 x)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) (sin.f64 x)))) (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 x)) (cos.f64 x)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) (cos.f64 x))))) (fma.f64 #s(literal -1/720 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal 1/72 binary64) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 1/72 binary64)))))) (neg.f64 (fma.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (-.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (sin.f64 x))))) (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))) x)
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 x)))) x)
(/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* -1/45 (pow x 2)) 1/3))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) #s(literal 1 binary64)) x)
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (sin.f64 x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (sin.f64 x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (sin.f64 x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (sin.f64 x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (sin.f64 x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (sin.f64 x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (sin.f64 x))
(/ (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (sin x))
(/.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(+ (* -1 eps) (/ (cos x) (sin x)))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) eps)
(+ (* eps (- (* -1/3 (pow eps 2)) 1)) (/ (cos x) (sin x)))
(fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x)))
(+ (* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1)) (/ (cos x) (sin x)))
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(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(* eps (+ (/ (* eps (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x))))) (pow (cos x) 2)) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))
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(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (/ (* (sin x) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (cos x)) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (cos x))) (* -1/3 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2)))))) (/ (* (sin x) (- (+ (* -1/6 (/ (cos x) (sin x))) (* -1/6 (/ (sin x) (cos x)))) (+ (* -1/2 (/ (cos x) (sin x))) (* -1/2 (/ (sin x) (cos x)))))) (cos x))) (* -1 (/ (* (pow (sin x) 3) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 3))))) (* -1 (/ (* (pow (sin x) 2) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (pow (cos x) 2))))) (/ (* (sin x) (+ (/ (cos x) (sin x)) (/ (sin x) (cos x)))) (cos x))))
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(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/.f64 (.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/ (* (sin x) (+ (/ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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x
(* x (+ 1 (* -1/6 (pow x 2))))
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(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
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(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (* 1/2 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ (sin eps) (cos eps))) (* 1/24 (/ (sin eps) (cos eps)))))) (* -1/2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 5/24 binary64)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (/ (sin eps) (cos eps))) (+ (* 1/48 (/ (sin eps) (cos eps))) (* 1/2 (+ (* -1/4 (/ (sin eps) (cos eps))) (* 1/24 (/ (sin eps) (cos eps))))))))) (+ (* -1/4 (/ (sin eps) (cos eps))) (* 1/24 (/ (sin eps) (cos eps)))))) (* -1/2 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (neg.f64 (.f64 x x)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 7/360 binary64) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -5/48 binary64))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 5/24 binary64))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/ (sin eps) (* (cos eps) (cos x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/ (sin eps) (* (cos eps) (cos x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/ (sin eps) (* (cos eps) (cos x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/ (sin eps) (* (cos eps) (cos x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/ (sin eps) (* (cos eps) (cos x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/ (sin eps) (* (cos eps) (cos x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/ (sin eps) (* (cos eps) (cos x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/ (sin eps) (* (cos eps) (cos x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* eps x)
(*.f64 eps x)
(* eps (+ eps x))
(*.f64 eps (+.f64 eps x))
(* eps (+ eps x))
(*.f64 eps (+.f64 eps x))
(* eps (+ eps x))
(*.f64 eps (+.f64 eps x))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (/ x eps)))
(.f64 eps (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
(* (pow eps 2) (+ 1 (/ x eps)))
(.f64 eps (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
(* (pow eps 2) (+ 1 (/ x eps)))
(.f64 eps (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (/ x eps)))
(.f64 eps (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
(* (pow eps 2) (+ 1 (/ x eps)))
(.f64 eps (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
(* (pow eps 2) (+ 1 (/ x eps)))
(.f64 eps (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
(pow eps 2)
(*.f64 eps eps)
(+ (* eps x) (pow eps 2))
(*.f64 eps (+.f64 eps x))
(+ (* eps x) (pow eps 2))
(*.f64 eps (+.f64 eps x))
(+ (* eps x) (pow eps 2))
(*.f64 eps (+.f64 eps x))
(* eps x)
(*.f64 eps x)
(* x (+ eps (/ (pow eps 2) x)))
(.f64 x (+.f64 eps (/.f64 (.f64 eps eps) x)))
(* x (+ eps (/ (pow eps 2) x)))
(.f64 x (+.f64 eps (/.f64 (.f64 eps eps) x)))
(* x (+ eps (/ (pow eps 2) x)))
(.f64 x (+.f64 eps (/.f64 (.f64 eps eps) x)))
(* eps x)
(*.f64 eps x)
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(.f64 x (+.f64 eps (/.f64 (.f64 eps eps) x)))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(.f64 x (+.f64 eps (/.f64 (.f64 eps eps) x)))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(.f64 x (+.f64 eps (/.f64 (.f64 eps eps) x)))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 x (-.f64 (.f64 (.f64 x (cos.f64 eps)) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 x (fma.f64 x (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) (.f64 x (.f64 (sin.f64 eps) #s(literal 1/6 binary64)))) (neg.f64 (sin.f64 eps))) (cos.f64 eps))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1 (* eps (sin x))))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(fma.f64 eps (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 eps (-.f64 (.f64 eps (fma.f64 eps (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(fma.f64 x (neg.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps))) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(fma.f64 x (fma.f64 x (-.f64 (.f64 x (.f64 (sin.f64 eps) #s(literal 2/3 binary64))) (cos.f64 eps)) (neg.f64 (sin.f64 eps))) (cos.f64 eps))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- eps (* -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- eps (* -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- eps (* -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- eps (* -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 eps (sin.f64 x))))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(fma.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(fma.f64 eps (fma.f64 eps (fma.f64 (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))

eval181.0ms (1.2%)

Memory: 25.7MiB live, 419.9MiB allocated
Compiler: Compiled 44 628 to 3 475 computations (92.2% saved)

prune144.0ms (0.9%)

Memory

3.4MiB live, 281.4MiB allocated

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	1 272	13	1 285
Fresh	3	12	15
Picked	2	3	5
Done	0	1	1
Total	1 277	29	1 306

Accuracy

100.0%

Counts

1 306 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	63.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	97.6%	(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps))
	96.6%	(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	96.6%	(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 eps (.f64 x #s(literal 4/3 binary64))) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	97.6%	(fma.f64 eps (fma.f64 x (fma.f64 x #s(literal 1 binary64) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	97.4%	(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	96.6%	(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
▶	97.6%	(fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))) x) (*.f64 x x)) eps)
	99.0%	(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	96.6%	(fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps)
▶	97.4%	(fma.f64 eps (*.f64 x x) eps)
	96.6%	(fma.f64 eps (.f64 eps (.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))))) eps)
▶	99.2%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))
▶	99.0%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.f64 x)))))
✓	99.2%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	99.2%	(/.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 eps #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	99.2%	(/.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 eps #s(literal -1/6 binary64)) eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
	38.2%	(/.f64 (sin.f64 (/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 x eps) (neg.f64 x)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	38.4%	(/.f64 (sin.f64 (.f64 (.f64 (+.f64 x (+.f64 x eps)) (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x eps))))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
▶	98.5%	(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
	99.1%	(/.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	63.3%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	62.5%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
	61.6%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
✓	63.1%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	7.7%	(-.f64 (tan.f64 eps) (tan.f64 x))
	96.7%	(tan.f64 eps)
✓	96.7%	eps

Compiler

Compiled 901 to 510 computations (43.4% saved)

simplify291.0ms (1.9%)

Memory

10.4MiB live, 331.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps)
✓	cost-diff	0	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.f64 x)))))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 4/3 binary64)))
✓	cost-diff	0	(fma.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))) x)
✓	cost-diff	0	(fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))) x) (*.f64 x x)) eps)
✓	cost-diff	320	(fma.f64 eps (fma.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))) x) (*.f64 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 eps (*.f64 x x) eps)
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps)
✓	cost-diff	0	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))

Rules

11 714×	`accelerator-lowering-fma.f32`
11 714×	`accelerator-lowering-fma.f64`
4 092×	`-lowering-.f32`
4 092×	`-lowering-.f64`
1 686×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	238
1	94	227
2	218	221
3	479	221
4	920	221
5	1317	221
6	2107	221
7	4659	221
0	8265	210

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize115.0ms (0.7%)

Memory

-18.5MiB live, 175.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 eps (sin.f64 x))
✓	accuracy	100.0%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.f64 x)))))
✓	accuracy	100.0%	(.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.f64 x))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.9%	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))) x)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 4/3 binary64)))
✓	accuracy	99.8%	(fma.f64 eps (fma.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))) x) (*.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 4/3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 eps (*.f64 x x) eps)
✓	accuracy	100.0%	(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
✓	accuracy	100.0%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))
✓	accuracy	100.0%	(.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -1/6 binary64))

Samples

70.0ms

256×

valid

Compiler

Compiled 226 to 38 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 20.0ms (39% of total)

const: 8.0ms (15.6% of total)

ival-div: 6.0ms (11.7% of total)

ival-add: 6.0ms (11.7% of total)

ival-cos: 4.0ms (7.8% of total)

ival-sin: 3.0ms (5.9% of total)

ival-pow2: 2.0ms (3.9% of total)

ival-sub: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series88.0ms (0.6%)

Memory

-1.1MiB live, 36.3MiB allocated

Counts

19 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
46.0ms	eps	@	inf	(* eps (sin x))
16.0ms	eps	@	inf	(/ (+ (* eps (* (* eps eps) -1/6)) eps) (* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps)))))
1.0ms	x	@	inf	(/ (+ (* eps (* (* eps eps) -1/6)) eps) (* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps)))))
1.0ms	x	@	-inf	(/ (+ (* eps (* (* eps eps) -1/6)) eps) (* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps)))))
1.0ms	x	@	inf	(/ (+ (* eps (* (* eps eps) -1/6)) eps) (* (cos x) (- (cos x) (* eps (sin x)))))

rewrite339.0ms (2.2%)

Memory

22.9MiB live, 467.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 836×	`accelerator-lowering-fma.f32`
5 836×	`accelerator-lowering-fma.f64`
4 276×	`/-lowering-/.f32`
4 276×	`/-lowering-/.f64`
4 232×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	176
1	206	140
2	1690	140
0	8135	130

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 566

Calls

Call 1

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

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

simplify452.0ms (2.9%)

Memory

-18.0MiB live, 573.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 078×	`accelerator-lowering-fma.f32`
12 078×	`accelerator-lowering-fma.f64`
6 912×	`-lowering-.f32`
6 912×	`-lowering-.f64`
3 178×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	497	4287
1	1705	4080
2	5922	4051
0	8110	3854

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(/ 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))))
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(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(* -1 (* eps (* (cos x) (sin x))))
(* eps (+ (* -1 (* (cos x) (sin x))) (/ (pow (cos x) 2) eps)))
(* eps (+ (* -1 (* (cos x) (sin x))) (/ (pow (cos x) 2) eps)))
(* eps (+ (* -1 (* (cos x) (sin x))) (/ (pow (cos x) 2) eps)))
(* -1 (* eps (* (cos x) (sin x))))
(* -1 (* eps (+ (* -1 (/ (pow (cos x) 2) eps)) (* (cos x) (sin x)))))
(* -1 (* eps (+ (* -1 (/ (pow (cos x) 2) eps)) (* (cos x) (sin x)))))
(* -1 (* eps (+ (* -1 (/ (pow (cos x) 2) eps)) (* (cos x) (sin x)))))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps x)
(* x (+ eps (* -1/6 (* eps (pow x 2)))))
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))

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

eval145.0ms (0.9%)

Memory: 46.0MiB live, 235.4MiB allocated
Compiler: Compiled 32 846 to 2 236 computations (93.2% saved)

prune131.0ms (0.8%)

Memory

-1.4MiB live, 275.1MiB allocated

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	1 077	15	1 092
Fresh	6	14	20
Picked	3	2	5
Done	0	4	4
Total	1 086	35	1 121

Accuracy

100.0%

Counts

1 121 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	63.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	97.7%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
	97.6%	(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
	96.6%	(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	97.6%	(fma.f64 eps (fma.f64 x (fma.f64 x #s(literal 1 binary64) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	96.6%	(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
✓	97.4%	(fma.f64 eps (*.f64 x x) eps)
	96.6%	(fma.f64 eps (.f64 eps (fma.f64 x (.f64 (*.f64 x x) #s(literal 4/3 binary64)) x)) eps)
	96.6%	(fma.f64 eps (.f64 eps (.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))))) eps)
	96.6%	(fma.f64 eps (*.f64 eps x) eps)
	97.5%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (fma.f64 x (-.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
	96.7%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps x)))
	99.0%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (cos.f64 x))))
✓	99.2%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))
✓	99.2%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	99.2%	(/.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 eps #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	99.2%	(/.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 eps #s(literal -1/6 binary64)) eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
	38.2%	(/.f64 (sin.f64 (/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 x eps) (neg.f64 x)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	38.4%	(/.f64 (sin.f64 (.f64 (.f64 (+.f64 x (+.f64 x eps)) (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x eps))))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	97.6%	(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	97.7%	(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
	97.3%	(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
	98.5%	(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
	99.2%	(/.f64 eps (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.f64 x)))))
	99.1%	(/.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
	63.3%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	62.5%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
✓	63.1%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	7.7%	(-.f64 (tan.f64 eps) (tan.f64 x))
	54.9%	(.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal 1/36 binary64) (.f64 (neg.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 eps eps))) eps))))
	97.4%	(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
	96.7%	(tan.f64 eps)
✓	96.7%	eps

Compiler

Compiled 1 878 to 602 computations (67.9% saved)

regimes78.0ms (0.5%)

Memory

-21.5MiB live, 92.5MiB allocated

Counts

69 → 1

Calls

Call 1

Inputs
eps
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (.f64 eps (.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))))) eps)
(fma.f64 eps (.f64 eps (fma.f64 x (.f64 (*.f64 x x) #s(literal 4/3 binary64)) x)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x #s(literal 1 binary64) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))) x) (*.f64 x x)) eps)
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps x)))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (fma.f64 x (-.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 eps (.f64 x #s(literal 4/3 binary64))) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps 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)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps))
(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps))
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
(-.f64 (tan.f64 eps) (tan.f64 x))
(-.f64 (tan.f64 x) (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 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 eps #s(literal -1/6 binary64)) eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 eps #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (tan.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (neg.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))))) (tan.f64 x))
(.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal 1/36 binary64) (.f64 (neg.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 eps eps))) eps))))
(-.f64 (tan.f64 (/.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)))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(/.f64 eps (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.f64 x)))))
(/.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)) (neg.f64 (tan.f64 x)))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.f64 x)))))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (cos.f64 x))))
(/.f64 (sin.f64 (.f64 (.f64 (+.f64 x (+.f64 x eps)) (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x eps))))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 x eps) (neg.f64 x)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (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 #s(literal 1 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 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (tan.f64 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 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 (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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))

Calls

3 calls:

36.0ms	x
20.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
20.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes62.0ms (0.4%)

Memory

15.0MiB live, 70.5MiB allocated

Counts

66 → 1

Calls

Call 1

Inputs
eps
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (.f64 eps (.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))))) eps)
(fma.f64 eps (.f64 eps (fma.f64 x (.f64 (*.f64 x x) #s(literal 4/3 binary64)) x)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x #s(literal 1 binary64) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))) x) (*.f64 x x)) eps)
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps x)))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (fma.f64 x (-.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 eps (.f64 x #s(literal 4/3 binary64))) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps 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)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps))
(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps))
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
(-.f64 (tan.f64 eps) (tan.f64 x))
(-.f64 (tan.f64 x) (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 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 eps #s(literal -1/6 binary64)) eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 eps #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (tan.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (neg.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))))) (tan.f64 x))
(.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal 1/36 binary64) (.f64 (neg.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 eps eps))) eps))))
(-.f64 (tan.f64 (/.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)))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(/.f64 eps (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.f64 x)))))
(/.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)) (neg.f64 (tan.f64 x)))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.f64 x)))))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (cos.f64 x))))
(/.f64 (sin.f64 (.f64 (.f64 (+.f64 x (+.f64 x eps)) (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x eps))))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 x eps) (neg.f64 x)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (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 #s(literal 1 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 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (tan.f64 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)

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

Calls

3 calls:

27.0ms	eps
17.0ms	x
16.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`eps`
99.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes49.0ms (0.3%)

Memory

-0.1MiB live, 75.6MiB allocated

Counts

58 → 1

Calls

Call 1

Inputs
eps
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (.f64 eps (.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))))) eps)
(fma.f64 eps (.f64 eps (fma.f64 x (.f64 (*.f64 x x) #s(literal 4/3 binary64)) x)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x #s(literal 1 binary64) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))) x) (*.f64 x x)) eps)
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps x)))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (fma.f64 x (-.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 eps (.f64 x #s(literal 4/3 binary64))) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps 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)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps))
(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps))
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
(-.f64 (tan.f64 eps) (tan.f64 x))
(-.f64 (tan.f64 x) (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 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 eps #s(literal -1/6 binary64)) eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 eps #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (tan.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (neg.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))))) (tan.f64 x))
(.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal 1/36 binary64) (.f64 (neg.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 eps eps))) eps))))
(-.f64 (tan.f64 (/.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)))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(/.f64 eps (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.f64 x)))))
(/.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)) (neg.f64 (tan.f64 x)))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.f64 x)))))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (cos.f64 x))))
(/.f64 (sin.f64 (.f64 (.f64 (+.f64 x (+.f64 x eps)) (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x eps))))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 x eps) (neg.f64 x)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))

Outputs
(/.f64 eps (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.f64 x)))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`eps`
99.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes42.0ms (0.3%)

Memory

-10.8MiB live, 69.9MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
eps
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (.f64 eps (.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))))) eps)
(fma.f64 eps (.f64 eps (fma.f64 x (.f64 (*.f64 x x) #s(literal 4/3 binary64)) x)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x #s(literal 1 binary64) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))) x) (*.f64 x x)) eps)
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps x)))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (fma.f64 x (-.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 eps (.f64 x #s(literal 4/3 binary64))) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps 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)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps))
(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps))
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
(-.f64 (tan.f64 eps) (tan.f64 x))
(-.f64 (tan.f64 x) (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 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 eps #s(literal -1/6 binary64)) eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 eps #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (tan.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (neg.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))))) (tan.f64 x))
(.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal 1/36 binary64) (.f64 (neg.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 eps eps))) eps))))
(-.f64 (tan.f64 (/.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)))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))

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

Calls

3 calls:

14.0ms	eps
14.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
12.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`eps`
99.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes35.0ms (0.2%)

Memory

18.4MiB live, 56.7MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
eps
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (.f64 eps (.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))))) eps)
(fma.f64 eps (.f64 eps (fma.f64 x (.f64 (*.f64 x x) #s(literal 4/3 binary64)) x)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x #s(literal 1 binary64) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))) x) (*.f64 x x)) eps)
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps x)))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (fma.f64 x (-.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 eps (.f64 x #s(literal 4/3 binary64))) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps 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)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps))
(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps))
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
(-.f64 (tan.f64 eps) (tan.f64 x))
(-.f64 (tan.f64 x) (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 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))

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

Calls

3 calls:

13.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms	x
10.0ms	eps

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`eps`
99.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes33.0ms (0.2%)

Memory

4.2MiB live, 40.9MiB allocated

Counts

37 → 1

Calls

Call 1

Inputs
eps
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (.f64 eps (.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))))) eps)
(fma.f64 eps (.f64 eps (fma.f64 x (.f64 (*.f64 x x) #s(literal 4/3 binary64)) x)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x #s(literal 1 binary64) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))) x) (*.f64 x x)) eps)
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps x)))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (fma.f64 x (-.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 eps (.f64 x #s(literal 4/3 binary64))) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps 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)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps))
(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps))
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
(-.f64 (tan.f64 eps) (tan.f64 x))
(-.f64 (tan.f64 x) (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)))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes60.0ms (0.4%)

Memory

-34.7MiB live, 46.7MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
eps
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(fma.f64 eps (*.f64 eps x) eps)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps (+.f64 eps x)) eps)
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (.f64 eps (.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))))) eps)
(fma.f64 eps (.f64 eps (fma.f64 x (.f64 (*.f64 x x) #s(literal 4/3 binary64)) x)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x #s(literal 1 binary64) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 x (.f64 x #s(literal 4/3 binary64))) x) (*.f64 x x)) eps)
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps x)))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (fma.f64 x (-.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 eps (.f64 x #s(literal 4/3 binary64))) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps 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)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 eps (+.f64 x eps)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(/.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps eps)) eps))
(fma.f64 x (.f64 eps (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) eps))
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))

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

Calls

3 calls:

42.0ms	eps
10.0ms	x
8.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.7%	1	`eps`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)

Calls

3 calls:

4.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`eps`
97.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`eps`
97.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes34.0ms (0.2%)

Memory

-28.5MiB live, 10.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`eps`
97.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
eps

Outputs
eps

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`eps`
96.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`*-commutative_binary64`
24×	`+-commutative_binary64`
20×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	146
1	93	146
2	120	146
3	137	146
4	146	146
5	148	146

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.4s (9.1%)

Memory

-20.0MiB live, 1 182.4MiB allocated

Rules

14 592×	`accelerator-lowering-fma.f32`
14 592×	`accelerator-lowering-fma.f64`
12 350×	`accelerator-lowering-fma.f32`
12 350×	`accelerator-lowering-fma.f64`
12 078×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	1351
1	464	1285
2	1534	1274
3	5949	1242
0	8534	1195
0	497	4287
1	1705	4080
2	5922	4051
0	8110	3854
0	6	16
1	46	16
2	398	16
3	6123	16
0	8101	16
0	679	8107
1	2151	7941
2	7117	7850
0	8103	7532
0	840	7341
1	2801	6953
0	8769	6605
0	43	215
1	270	193
2	2584	193
0	9720	179
0	36	176
1	206	140
2	1690	140
0	8135	130

Stop Event

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

Compiler

Compiled 542 to 293 computations (45.9% saved)

preprocess120.0ms (0.8%)

Memory: 8.2MiB live, 208.3MiB allocated
Compiler: Compiled 396 to 176 computations (55.6% 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

analyze48.0ms (0.3%)

sample6.8s (44.1%)

preprocess28.0ms (0.2%)

explain94.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize28.0ms (0.2%)

series11.0ms (0.1%)

rewrite516.0ms (3.3%)

simplify404.0ms (2.6%)

eval42.0ms (0.3%)

prune59.0ms (0.4%)

simplify317.0ms (2%)

localize245.0ms (1.6%)

series90.0ms (0.6%)

rewrite362.0ms (2.3%)

simplify450.0ms (2.9%)

eval185.0ms (1.2%)

prune122.0ms (0.8%)

simplify319.0ms (2.1%)

localize198.0ms (1.3%)

series80.0ms (0.5%)

rewrite725.0ms (4.7%)

simplify482.0ms (3.1%)

eval181.0ms (1.2%)

prune144.0ms (0.9%)

simplify291.0ms (1.9%)

localize115.0ms (0.7%)

series88.0ms (0.6%)

rewrite339.0ms (2.2%)

simplify452.0ms (2.9%)

eval145.0ms (0.9%)

prune131.0ms (0.8%)

regimes78.0ms (0.5%)

regimes62.0ms (0.4%)

regimes49.0ms (0.3%)

regimes42.0ms (0.3%)

regimes35.0ms (0.2%)

regimes33.0ms (0.2%)

regimes60.0ms (0.4%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes34.0ms (0.2%)

regimes4.0ms (0%)

simplify11.0ms (0.1%)

soundness1.4s (9.1%)

preprocess120.0ms (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